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Coherence

Coherence is the quality or state of cohering, especially a systematic or logical connection or consistency between different elements or parts. Derived from Latin cohaerentia ("a sticking together"), from cohaerēre ("to stick together"), via Middle French cohérence, the term entered English around 1580.^[1]^[2] This concept manifests across multiple disciplines, including physics (wave phase relationships), mathematics (coherent structures like sheaves), linguistics (textual unity), philosophy (theories of truth and knowledge), computer science (cache and data consistency), and other fields such as signal processing and psychology, where it denotes the degree to which components align to form a unified whole, whether in physical phenomena, abstract systems, or human cognition.^[3] In general usage, coherence implies intelligibility and logical integration, contrasting with incoherence, which arises from disjointed or contradictory elements.^[4]

Overview

Definition and etymology

Coherence is the property by which elements of a system or set form a unified whole, characterized by logical consistency and absence of contradiction.^[1] This quality ensures that components—whether in discourse, ideas, or structures—connect systematically without internal discord, fostering clarity and integrity.^[5] In general usage, coherence applies across diverse domains, including texts where sentences flow logically, belief systems that align without paradox, and even physical systems like waves that exhibit phase uniformity.^[2] The term originates from the Latin verb cohaerere, meaning "to stick together" or "to cleave," composed of co- (together) and haerere (to stick or adhere).^[6] It entered English in the late 16th century via Old French cohérence, initially denoting physical adhesion before evolving to encompass abstract notions of logical unity by the early 17th century.^[5] The first notable philosophical application appears in René Descartes' Principles of Philosophy (1644), where he describes his explanatory framework as forming a "coherent pattern" to demonstrate the interconnected consistency of natural phenomena derived from fundamental principles.^[7] In everyday contexts, coherence manifests as clear, organized speech that conveys ideas without digression, contrasting with rambling that lacks structure and unity.^[1] Abstractly, it describes a consistent set of ideas, such as a philosophical argument where propositions support one another without conflict, ensuring the overall framework remains intact and persuasive.^[8] For instance, in physics, coherence briefly denotes the synchronized phase relationship among waves, enabling predictable interactions, though this is distinct from broader conceptual uses.^[1]

Interdisciplinary significance

Coherence serves as a unifying concept across diverse disciplines, facilitating the integration of knowledge by emphasizing consistent relationships and structures that bridge scientific and humanistic inquiries. In interdisciplinary studies, coherence acts as an indicator of how effectively knowledge from multiple fields aligns, promoting synthesis rather than fragmentation in complex problem-solving.^[9]^[10] The historical evolution of coherence traces back to its origins in 19th-century physics, where it described the phase relationships in wave phenomena like light, enabling precise interference patterns.^[11] Philosophical roots of coherence date to the 18th and 19th centuries in the works of thinkers like Kant and Hegel, with the explicit coherence theory of truth developed in the early 20th century. By the late 20th century, the concept also appeared in computing, particularly in models of system consistency. This expansion highlights the broadening application from empirical descriptions in natural sciences to abstract principles in humanities and technology.^[12]^[13] In the sciences, coherence enables prediction and modeling by assuming stable, consistent relationships within systems, as seen in quantum mechanics where it measures the maintenance of superposition states, allowing accurate forecasts of particle behavior over time. Similarly, in data analysis, coherence metrics evaluate the interpretability of statistical models, ensuring that derived patterns align logically with underlying datasets to support reliable inferences.^[14] In the humanities, coherence ensures logical flow in arguments, narratives, and policies by linking ideas through pragmatic and structural consistency, as in linguistics where it maintains the semantic unity of discourse across cultural contexts. For instance, in philosophical argumentation, it promotes the mutual reinforcement of propositions, briefly exemplified in coherence theory where truth emerges from a web of consistent beliefs rather than isolated facts. In policy analysis, coherent frameworks reduce contradictions in decision-making processes, fostering equitable outcomes.^[15]^[13] Key benefits of coherence include reducing ambiguity by clarifying interconnections among elements, which enhances the reliability of experiments, texts, and systems across fields; for example, in scientific knowledge development, high coherence correlates with approximations of truth, minimizing interpretive errors. This reliability extends to interdisciplinary contexts, where coherent integration bolsters predictive power and interpretive depth without introducing extraneous inconsistencies.^[16]^[9]

Physics

Wave and optical coherence

In wave optics, coherence describes the fixed phase relationship between waves that enables predictable interference phenomena, such as constructive and destructive patterns in Young's double-slit experiment./05%3A_Interference_and_coherence/5.04%3A_Coherence) Temporal coherence refers to the persistence of this phase correlation over time at a fixed spatial point, determining how long waves remain suitable for interference.^[17] Spatial coherence, in contrast, measures the phase correlation across different points in a wavefront at a given instant, which governs the extent of the region where interference fringes can form.^[17] Full coherence occurs when the phase difference remains constant indefinitely, ideal for precise applications, while partial coherence involves gradual degradation, common in real light sources where correlations weaken with increasing separation or delay./05%3A_Interference_and_coherence/5.04%3A_Coherence) Key parameters quantify these properties: the coherence length l_c, representing the maximum path difference for observable interference, is approximated by the formula

l_c = \frac{\lambda^2}{\Delta \lambda}

where \lambda is the central wavelength and \Delta \lambda is the full width at half maximum of the spectral bandwidth.^[18] This length scales inversely with spectral width, so narrower spectra yield longer coherence. The coherence time \tau_c, the duration over which phase correlations hold, follows as

\tau_c = \frac{l_c}{c}

with c denoting the speed of light in vacuum. These measures are fundamental for assessing a source's suitability for interferometric setups, as interference visibility drops sharply beyond l_c.^[18] Laser light demonstrates high coherence, with coherence lengths often exceeding several meters due to its narrow linewidth (typically \Delta \lambda < 0.01 nm for stabilized He-Ne lasers), allowing clear fringes over large path differences. In contrast, sunlight exhibits low coherence, with coherence lengths on the order of micrometers, arising from its broad, polychromatic spectrum spanning hundreds of nanometers from incoherent thermal emission./05%3A_Interference_and_coherence/5.04%3A_Coherence) Such high coherence in lasers enables applications like holography, where the stable phase relation between object and reference beams records detailed three-dimensional wavefronts, requiring l_c > 10 m for large-scale holograms. In spectroscopy, coherence facilitates high-resolution analysis, as in Michelson interferometers where long \tau_c resolves fine spectral features by maintaining interference over extended delays. Quantum coherence extends these concepts to microscopic scales, embodying the superposition principle where quantum systems maintain phase relations between states, enabling phenomena like Rabi oscillations in atoms.^[19] In quantum optics, coherent states—minimum-uncertainty Gaussian wavepackets that mimic classical coherent light—were formalized by Glauber and defined in the number basis as

|\alpha\rangle = e^{-|\alpha|^2/2} \sum_{n=0}^\infty \frac{\alpha^n}{\sqrt{n!}} |n\rangle,

where |n\rangle are photon number eigenstates and \alpha is a complex amplitude encoding displacement in phase space.^[20] These states, eigenstates of the annihilation operator, preserve Poissonian photon statistics and are pivotal for describing laser fields in quantum theory.^[20]

Coherence in metrology

In metrology, coherence refers to a system of units where the base units are defined such that equations between physical quantities hold in their numerical form without requiring additional dimensionless conversion factors other than unity.^[21] This ensures that derived units, formed by multiplication or division of base units, align directly with the algebraic structure of physical laws, promoting consistency and simplicity in measurements.^[21] The International System of Units (SI), established as the modern standard, exemplifies this coherence by linking all units to a set of fundamental physical constants and base quantities.^[22] The historical development of coherent units traces back to earlier systems like the centimetre-gram-second (CGS) framework introduced in 1874 by the British Association for the Advancement of Science, which aimed for mechanical coherence but faced challenges in electromagnetism due to disparate electrical units.^[23] This evolved into the metre-kilogram-second (MKS) system by the late 19th century, culminating in the formal adoption of the SI at the 11th General Conference on Weights and Measures (CGPM) in 1960.^[21] The SI defines seven base units—metre (length), kilogram (mass), second (time), ampere (electric current), kelvin (temperature), mole (amount of substance), and candela (luminous intensity)—each realized through reproducible standards that maintain coherence across disciplines.^[21] The 2019 redefinition, effective from 20 May 2019, further solidified this by fixing the values of constants such as Planck's constant h = 6.62607015 \times 10^{-34} J s, the elementary charge e = 1.602176634 \times 10^{-19} C, the Boltzmann constant k = 1.380649 \times 10^{-23} J/K, and the Avogadro constant N_A = 6.02214076 \times 10^{23} mol^{-1}, eliminating artifact-based definitions and enhancing precision in quantum metrology.^[21] Mathematically, coherence relies on dimensional homogeneity, where every term in a physical equation has the same dimension, expressible as products of base dimensions (e.g., length [L], mass [M], time [T]).^[21] For instance, the dimension of force is [M L T^{-2}], so the coherent unit newton (N) is defined as 1 kg m s^{-2}, ensuring equations like Newton's second law F = ma hold numerically without factors.^[21] A practical example is Ohm's law, V = IR, where voltage in volts (V = kg m^2 s^{-3} A^{-1}), current in amperes (A), and resistance in ohms (Ω = kg m^2 s^{-3} A^{-2}) satisfy the relation directly in SI.^[21] In contrast, incoherent systems, such as certain customary or non-rationalized units (e.g., foot-pound-second variants used historically in imperial contexts), introduce extraneous numerical factors; for electromagnetism, non-rationalized formulations often require multipliers like 4π in laws such as Coulomb's, complicating derivations.^[24] The advantages of coherent units include simplified calculations, reduced errors in interdisciplinary applications, and facilitation of international standardization, as seen in the SI's role in global trade and science.^[22] By avoiding conversion factors, coherent systems like the SI enable seamless integration of measurements from mechanics to quantum technologies, with the 2019 redefinition particularly bolstering coherence in metrology by anchoring units to invariant constants, thereby supporting advancements in precise, reproducible quantum-based realizations.^[21] This framework not only streamlines theoretical work but also practical implementations, such as in laser interferometry for length standards, where wave coherence in optics indirectly aids but does not define the unit system's structure.^[21]

Mathematics

Coherent sheaves and modules

In homological algebra, a module M over a commutative ring R is called coherent if it is finitely generated and every finitely generated submodule of M is finitely presented as an R-module.^[25] This condition ensures that short exact sequences of finitely generated submodules remain exact under certain operations, providing a notion of "exactness at infinity" that controls the complexity of resolutions.^[25] Coherent modules generalize finitely presented modules while imposing restrictions on substructures, and they play a crucial role in bounding projective dimensions in resolutions. The concept extends to sheaves in algebraic geometry: on a ringed space (X, \mathcal{O}_X), a sheaf of \mathcal{O}_X-modules \mathcal{F} is coherent if it is of finite type (i.e., locally finitely generated) and, for every open U \subset X and finite set of sections s_1, \dots, s_n \in \mathcal{F}(U), the kernel of the map \bigoplus_{i=1}^n \mathcal{O}_X(U) \to \mathcal{F}(U) sending the standard basis to the s_i is also of finite type. Equivalently, on a scheme X, coherent sheaves are precisely the quasi-coherent sheaves that are locally finitely presented, making them essential in scheme theory for studying finite-type phenomena over infinite bases.^[26] Key properties include closure under finite extensions, kernels, and cokernels: in a short exact sequence of sheaves, if two terms are coherent, so is the third; subsheaves of finite type in coherent sheaves are coherent. The notion of coherent sheaves was introduced by Jean-Pierre Serre in 1955 to develop sheaf cohomology for algebraic varieties, enabling the study of global sections and higher cohomology groups.^[27] Serre proved that on a projective variety X over a field, for any coherent sheaf \mathcal{F} and sufficiently large integer n, the cohomology groups H^i(X, \mathcal{F} \otimes \mathcal{O}_X(n)) = 0 for i > 0, a vanishing theorem central to computing dimensions of spaces of sections and proving finiteness results in algebraic geometry.^[27] A canonical example is the structure sheaf \mathcal{O}_X on a Noetherian scheme X, which is coherent since Noetherian rings are coherent and localizations preserve the property.^[28] On the projective space \mathbb{P}^n_k over a field k, \mathcal{O}_{\mathbb{P}^n} is coherent, and twisting by \mathcal{O}(d) yields coherent sheaves whose cohomology vanishes in positive degrees for d \gg 0, illustrating Serre's theorem.^[29] In contrast, quasi-coherent sheaves include infinite direct sums of coherent ones, such as the direct sum of all line bundles on an affine scheme, which need not be coherent but capture all module-like data locally.^[26] This distinction underpins modern geometry, where coherent sheaves model bounded geometric objects amid potentially unbounded quasi-coherent ones.^[30]

Coherent topological spaces

In topology, a coherent topological space, also known as a spectral space, is defined as a topological space that is quasi-compact and sober, possessing a basis of quasi-compact open subsets that is closed under finite intersections.^[31] This structure ensures that the space admits a rich interplay between its points and the algebraic properties of its open sets, distinguishing it from more general topological spaces. Unlike Hausdorff spaces, coherent spaces satisfy only the weaker T0 separation axiom, where distinct points can be separated by open sets—one containing one point but not the other—without requiring the separating opens to be disjoint.^[31] Key properties of coherent topological spaces include sobriety, which means every irreducible closed set is the closure of a unique point, and quasi-compactness, ensuring finite subcovers for open covers. An equivalent characterization is that the lattice of open sets forms an algebraic frame where the compact elements form a distributive lattice under intersection.^[31] These spaces are stable under certain constructions, such as forming spectra, and their morphisms preserve the basis of compact opens. A notable property is their connection to compactification: since they are already quasi-compact, they serve as natural compactifications in contexts like ring spectra, where the one-point compactification is trivial but more general compactifications arise in algebraic settings. For instance, the space of rational numbers with the usual topology is not coherent, but examples like the spectrum of the integers, Spec(ℤ), provides a non-Hausdorff coherent space where the generic point cannot be separated from maximal ideals by disjoint opens.^[32]^[31] Applications of coherent topological spaces are prominent in general topology for studying sober spaces and in algebraic geometry, where they model the prime spectrum of commutative rings, forming the foundation of affine schemes. In ring theory, coherent spectra refer to the spectra of coherent rings—rings in which every finitely generated ideal is finitely presented—exhibiting additional finiteness properties that facilitate cohomology computations and sheaf theory.^[32] These spaces enable the reconstruction of rings from their topological spectra, bridging point-set topology with commutative algebra. Historically, the concept was formalized by Melvin Hochster in the late 1960s, building on earlier work by Krull and others on prime ideals, with the term "spectral" or "coherent" emerging in the 1970s topological literature to distinguish it from algebraic notions like coherent rings, which emphasize finite generation of ideals.^[32]^[31] Coherent topological spaces also relate to filters through their sobriety condition, which identifies points with completely prime filters in the frame of open sets—filters such that the intersection of any collection of opens belongs to the filter if and only if some finite subcollection does. This mirrors ultrafilter convergence in more classical topologies but adapts to the non-Hausdorff setting, where convergence is determined by adherence to these prime filters rather than sequences or nets alone.^[31]

Philosophy

Coherence theory of truth

The coherence theory of truth maintains that a proposition is true insofar as it coheres with an optimal or comprehensive system of beliefs, where coherence involves logical consistency and mutual explanatory support among the propositions in that system. This view stands in opposition to the correspondence theory of truth, which posits that truth consists in a proposition's accurate representation of an independent reality or fact. Under the coherence approach, truth is not anchored to external states of affairs but emerges from the internal relations within a belief network, such that isolated or inconsistent propositions fail to qualify as true.^[33] The theory traces its roots to British idealist philosophers, notably F. H. Bradley, who in Appearance and Reality (1893) argued that reality and truth form an interconnected whole, with apparent contradictions resolving into a systematic unity that precludes fragmentary truths. This idea was more explicitly developed by H. H. Joachim in The Nature of Truth (1906), where he contended that truth is the complete and harmonious adjustment of a proposition to the entire body of knowledge, rejecting any notion of truth as mere agreement with isolated facts.^[34] In the twentieth century, Nicholas Rescher revived and refined the theory in The Coherence Theory of Truth (1973), proposing that truth arises from coherence with the "best" available system of beliefs, one that maximizes explanatory power while minimizing contradictions.^[35] Proponents identify key criteria for coherence, including mutual support (where propositions reinforce one another through explanatory or deductive relations), comprehensiveness (encompassing as many relevant beliefs as possible without gaps), and conservatism (preserving established beliefs unless compelling reasons demand revision).^[36] However, the theory faces significant challenges, particularly the isolation problem, which questions how a purely coherent belief system connects to objective truth, as coherent but empirically disconnected systems—such as elaborate fictions—could mimic truth without corresponding to reality.^[37] Post-2000 analytic critiques have intensified this concern, arguing that the theory struggles to distinguish a single optimal system from multiple coherent alternatives, potentially leading to relativism or circularity in truth ascriptions.^[38] Illustrative applications appear in legal reasoning, where juries evaluate evidence by constructing the most coherent narrative that integrates testimonies, documents, and circumstances into a consistent story, deeming it the probable truth.^[39] Similarly, in scientific theories, truth is assessed by how well a hypothesis coheres with existing empirical data, auxiliary assumptions, and predictive successes, as seen in the evaluation of explanatory models that unify disparate observations into a non-ad hoc framework.^[40]

Coherentism in epistemology

Coherentism in epistemology is a theory of epistemic justification according to which a belief is justified insofar as it coheres with other beliefs within a comprehensive system, emphasizing mutual support rather than derivation from self-evident foundations as in foundationalism.^[41] This approach views justification as emerging from the holistic interdependence of beliefs, where no single belief serves as an ultimate ground, but instead, the entire network provides reinforcement through relations of logical consistency, explanatory power, and probabilistic support.^[42] In contrast to foundationalism, which posits a linear structure of basic beliefs supporting derived ones, coherentism rejects such hierarchy, treating all beliefs as potentially revisable parts of an interconnected web.^[41] Key features of coherentism include its holistic nature and its strategy for addressing the epistemic regress problem. Holism implies that justification is a property of the belief system as a whole, not isolated elements, allowing for the mutual adjustment of beliefs to maximize overall coherence.^[42] The regress argument, which challenges linear theories by noting that justification chains lead to either an infinite regress, arbitrary termination, or vicious circularity, is resolved in coherentism through a virtuous form of circularity: beliefs justify one another reciprocally within the system, avoiding infinite chains without relying on unfounded basics.^[41] This perspective was prominently articulated by W.V. Quine and J.S. Ullian in their 1970 work The Web of Belief, which portrays knowledge as a flexible web where beliefs are evaluated and revised based on their fit within the larger structure, influenced by empirical evidence and logical relations.^[41] Despite its appeal, coherentism faces significant criticisms, notably the bootstrapping problem, which highlights risks of circular reasoning wherein an unjustified belief can gain apparent justification merely by cohering with itself or a closed system, potentially allowing unreliable beliefs to self-reinforce without external validation.^[42] Proponents like Laurence BonJour have countered such objections by emphasizing that coherence must include responsiveness to experience, ensuring the system remains anchored to reality, though debates persist on whether this fully mitigates circularity concerns.^[41] Coherentism finds applications beyond general epistemology, such as in ethics through the development of coherent moral systems via reflective equilibrium, where moral judgments are justified by their alignment with principles and considered intuitions, as advanced by John Rawls.^[42] In science, it informs understandings of paradigm shifts and theory choice, where scientific beliefs are justified holistically through their coherence within evolving frameworks, echoing Quine's emphasis on the underdetermination of theory by data and the need for systemic adjustment.^[41] Distinct from the coherence theory of truth, which defines truth in terms of systemic consistency, coherentism addresses only the conditions for justified belief, not the nature of truth itself.^[41]

Linguistics

Textual coherence

Textual coherence refers to the semantic unity of a text, achieved through implicit logical relations that enable readers to interpret it as a meaningful whole, in contrast to cohesion, which relies on explicit grammatical and lexical links. This unity arises from the continuity of senses among concepts and relations in the text, allowing mutual access and relevance within a shared configuration of ideas.^[43] Key mechanisms include inference, where readers deduce unstated connections based on contextual knowledge; presupposition, which activates shared background assumptions to link propositions; and topic continuity, which sustains focus on central entities or themes across sentences. Halliday and Hasan's model (1976) frames these within texture, emphasizing how cohesive patterns facilitate inferential coherence, though they distinguish it as a broader semantic property emerging from reader-text interaction. De Beaugrande and Dressler (1981) further integrate coherence as one of seven standards of textuality, highlighting its role in dynamic sense-making through relevance and situation management.^[43] Examples of textual coherence appear in paragraph progression, such as elaboration, where a sentence expands a prior idea (e.g., "Birds migrate south in winter. This behavior ensures survival in harsh conditions."), or contrast, which juxtaposes differences for clarity (e.g., "Birds migrate south in winter, whereas some mammals hibernate.").^[44] In computational natural language processing (NLP), coherence is analyzed via models like the entity-grid approach, which represents texts as grids tracking entity salience and transitions to quantify local unity, demonstrating higher coherence in well-structured essays compared to incoherent ones.^[45] The concept developed in the 1970s amid discourse analysis and text linguistics, building on structuralist foundations to address beyond-sentence meaning, with seminal works like Halliday and Hasan's Cohesion in English (1976) linking surface ties to deeper interpretability. It has applications in education, where teaching inference and topic chains improves EFL writing coherence, reducing disjointedness in student essays.^[46] In AI text generation, post-2020 advances leverage large language models (LLMs) like GPT-4o to assess and enhance global coherence, outperforming traditional metrics in evaluating discourse flow; more recent work as of 2025 includes joint modeling of entities and discourse relations using LLMs for improved coherence scoring.^[47]^[48]

Coherence in discourse

Coherence in discourse refers to the maintenance of shared understanding among participants across multiple turns in conversation or narrative, ensuring that interactions remain meaningful and purposeful despite potential ambiguities or disruptions. Unlike static textual structures, discourse coherence emerges dynamically through collaborative processes where speakers and listeners co-construct meaning in real-time. This involves establishing and updating a mutual context that allows inferences to bridge gaps between utterances, fostering a unified interpretive framework.^[49] Central to discourse coherence are key elements such as common ground, repair mechanisms, and Gricean implicatures. Common ground encompasses the mutually known beliefs, knowledge, and assumptions shared by interlocutors, which serves as the foundation for interpreting contributions and resolving uncertainties. Repair mechanisms, including self-initiated or other-initiated clarifications, enable participants to detect and address troubles in speaking, hearing, or understanding, thereby restoring alignment. For instance, a speaker might rephrase an utterance following a listener's query to realign the shared context. Gricean implicatures, derived from the cooperative principle and its maxims of quantity, quality, relation, and manner, further support coherence by allowing listeners to infer unstated intentions, such as relevance or specificity, assuming rational collaboration.^[49] Classic examples of discourse coherence appear in conversation analysis, pioneered by Sacks, Schegloff, and Jefferson in their seminal work on turn-taking organization, which demonstrates how sequential structures maintain topical continuity and prevent overlap or breakdown. In clinical contexts, coherence breakdowns are evident in disorders like aphasia, where individuals produce discourse with reduced global coherence, such as off-topic shifts or non-specific references, impairing the overall narrative unity and listener comprehension. These examples highlight how coherence relies on interactive sequencing rather than isolated units. Applications of discourse coherence extend to pragmatics, where it informs models of how implicatures and repairs sustain communicative goals in everyday interactions, and to human-computer interaction (HCI), where discourse-based systems simulate common ground to enable natural dialogue in conversational agents; recent advances as of 2024 include unsupervised LLM methods for extracting coherence-based discourse structures in dialogues. Cross-cultural variations further illustrate its adaptability; for example, high-context cultures may rely more on implicit common ground and fewer explicit repairs compared to low-context ones, affecting how coherence is negotiated in multicultural exchanges. In contrast to textual coherence, which provides a foundational static framework for monologic narratives, discourse coherence is inherently interactive and responsive to participant dynamics.^[50]^[51]^[52]

Computer science

Cache coherence

Cache coherence is a mechanism in multiprocessor systems designed to ensure that all processors maintain a uniform view of shared memory data stored in multiple local caches, preventing inconsistencies that could arise when multiple caches hold copies of the same data block.^[53] This uniformity is achieved through protocols that enforce the single-writer-multiple-reader (SWMR) invariant, where at most one cache can modify a data block at a time while multiple caches can read it, along with the data-value invariant that guarantees reads return the most recent write value.^[53] Without such mechanisms, a processor might read stale data from its local cache even after another processor has updated the shared memory location, leading to incorrect program execution in parallel environments.^[53] The concept of cache coherence emerged in the 1980s alongside the development of shared-memory multiprocessor systems, building on foundational work in memory consistency models such as Lamport's sequential consistency from 1979.^[53] Early implementations addressed challenges in systems with private caches connected via a shared bus, where direct memory access (DMA) devices and multiple processors could alter data visibility.^[53] By the mid-1980s, protocols like those in the IEEE Futurebus specification formalized coherence for bus-based architectures, enabling scalable shared-memory designs in commercial systems.^[54] Common cache coherence protocols include the MSI protocol, which uses three states for each cache block: Modified (M) for a uniquely held dirty block that differs from main memory; Shared (S) for clean blocks potentially held by multiple caches; and Invalid (I) for blocks not currently valid in the cache.^[53] The MESI protocol extends MSI by adding an Exclusive (E) state, which indicates a clean block held uniquely and allows efficient upgrades to Modified on writes without bus notifications, reducing traffic in write-back caches.^[53] These invalidate-based protocols, where writes invalidate other copies, are widely adopted for their simplicity in ensuring coherence through atomic bus transactions.^[53] Coherence protocols are implemented via two primary approaches: snooping, where caches monitor (snoop) a shared bus for broadcast requests and respond accordingly to maintain state transitions; and directory-based, where a centralized or distributed directory tracks the location and state of cache blocks, using point-to-point messages to notify holders of changes.^[53] Snooping protocols, often paired with MSI or MESI, provide total ordering through the bus but scale poorly beyond small core counts due to broadcast overhead.^[53] Directory protocols, which avoid broadcasts by querying the directory for sharer information, support larger systems but introduce additional latency from multi-hop messaging.^[53] In multi-core CPUs, cache coherence faces significant scalability challenges, particularly as core counts increase, leading to higher contention on interconnects and memory bandwidth saturation from coherence traffic.^[53] For instance, in Intel architectures like Xeon processors, the MESIF protocol—an extension of MESI adding a Forward (F) state for efficient sharing of unmodified data—manages coherence across cores and sockets using a combination of snooping and directory mechanisms.^[55] Similarly, ARM architectures, such as those in Cortex-A series processors, typically employ the MOESI protocol, which includes an Owned (O) state to allow direct transfer of dirty data between caches without immediate write-back to memory, enhancing efficiency in multi-cluster systems while addressing coherency across heterogeneous cores.^[56] These protocols introduce bandwidth overhead from coherence messages; for example, snooping requires two messages per transaction (request and response), while directory-based approaches often need three, with invalidate protocols generally consuming less traffic than update-based alternatives in shared-memory systems.^[53] In practice, this overhead can saturate interconnect bandwidth.

Coherence in parallel processing

In parallel processing, coherence refers to the mechanisms that ensure shared data and operations maintain consistency and appear atomic and sequentially ordered across multiple processors or nodes in a distributed system, preventing anomalies such as race conditions or inconsistent views of data updates.^[53] This concept is fundamental to achieving correct execution in concurrent environments, where processors may access shared memory or resources asynchronously, by imposing logical ordering on operations without necessarily requiring strict physical synchronization. Key models of coherence in parallel processing include sequential consistency, introduced by Leslie Lamport in 1979, which guarantees that the result of any execution is the same as if operations occurred in some sequential order consistent with each processor's program order.^[57] Linearizability, proposed by Maurice Herlihy and Jeannette Wing in 1990, extends this by requiring that operations appear to take effect instantaneously at some point between their invocation and response, providing a stronger real-time ordering for concurrent objects.^[58] Weaker models, such as causal consistency, relax these guarantees to improve scalability by only preserving the order of causally related operations while allowing non-causal ones to be reordered, as formalized in works on session guarantees for distributed systems.^[59] Examples of coherence in practice appear in frameworks like MapReduce, where distributed tasks on clusters must maintain coherent views of intermediate data to ensure fault-tolerant aggregation, balancing strong consistency with the performance costs of synchronization overheads. In GPU computing, coherence models synchronize thread blocks accessing shared memory, trading off latency for correctness in parallel kernels, as seen in NVIDIA's CUDA programming model where explicit barriers enforce ordering at the cost of reduced parallelism.^[60] These examples highlight the inherent trade-offs: stronger coherence enhances reliability but increases latency and limits scalability in high-throughput environments. Applications extend to big data systems like Hadoop, which employs the Hadoop Distributed File System (HDFS) with a simple coherency model based on write-once-read-many access for files, ensuring data replication across nodes for reliable processing of petabyte-scale datasets through rack-aware block placement.^[61] Fault tolerance is further supported via coherent checkpoints, where parallel applications capture synchronized global states periodically to enable recovery from failures without data loss, a technique refined in systems like MPI for high-performance computing clusters.^[62] The evolution of coherence models traces back to the 1970s with early multiprocessor systems addressing shared-memory consistency, progressing through the 1980s and 1990s with formalizations amid the rise of symmetric multiprocessing (SMP), and into modern cloud computing where weaker models dominate to support elastic, geo-distributed architectures like those in Apache Cassandra.^[63] This shift reflects a broader trend toward tunable consistency, prioritizing availability and partition tolerance per the CAP theorem, while still drawing on foundational principles for verifiable correctness.^[64]

Other fields

Signal processing

In signal processing, coherence serves as a statistical measure of the linear correlation between two signals as a function of frequency. The magnitude-squared coherence function, denoted \gamma_{xy}^2(f), between input signal x(t) and output signal y(t) is given by

\gamma_{xy}^2(f) = \frac{|S_{xy}(f)|^2}{S_{xx}(f) S_{yy}(f)},

where S_{xy}(f) represents the cross-power spectral density, and S_{xx}(f) and S_{yy}(f) are the auto-power spectral densities of the respective signals.^[65] This normalized quantity arises from the expected values of the Fourier transforms of the signals under stationary assumptions. The value of \gamma_{xy}^2(f) ranges from 0, indicating no linear correlation at frequency f, to 1, signifying a perfect linear relationship where the output is fully predictable from the input.^[66] It is particularly valuable in system identification, where high coherence confirms that the assumed linear model accurately captures the input-output dynamics, while low values suggest noise, non-linearities, or extraneous influences.^[67] For instance, in frequency response function estimation, coherence exceeding 0.8 often validates the measurement reliability.^[68] The coherence function was developed in the mid-20th century amid advances in random vibration analysis and control theory, with foundational work by Julius S. Bendat in the 1950s and 1960s to quantify errors in spectral estimates from noisy data.^[69] Bendat's 1958 book Principles and Applications of Random Noise Theory laid the groundwork, and his later collaborations, such as with Allan G. Piersol in Random Data: Analysis and Measurement Procedures (1971), formalized its role in engineering applications like aerospace vibration studies.^[70] This approach, distinct from deterministic wave coherence in physics, focuses on stochastic processes and has been refined in texts like Jenkins and Watts' Spectral Analysis and Its Applications (1968).^[71] Key applications include noise analysis, where coherence identifies correlated sources in environments like acoustic testing, and vibration testing, such as modal analysis of structures to isolate resonant responses from measurement artifacts.^[72] For example, in automotive noise-vibration-harshness (NVH) evaluation, partial coherence techniques disentangle contributions from multiple paths, like tire-road interaction versus engine mounts.^[73] Extensions to higher-order coherence incorporate n-point correlations via polyspectra, such as the bispectrum for quadratic non-linearities, enabling analysis of non-Gaussian signals in fields like biomedical signal processing where second-order measures fail.^[74] These higher-order functions, pioneered in the 1980s by researchers like Chrysostomos Nikias, suppress Gaussian noise and reveal phase couplings in complex systems.

Psychology and law

In psychology, coherence refers to the integration of personal experiences into a consistent and non-contradictory self-narrative, particularly through the maintenance of a coherent self-concept across diverse contexts. A coherent self-concept involves an organized system of self-knowledge that preserves positivity and consistency while incorporating social feedback, as demonstrated by neuroimaging studies showing neural mechanisms that track trait relationships to avoid fragmentation.^[75] This coherence is crucial for psychological well-being, with research indicating that individuals with higher autobiographical coherence report lower depressive symptoms and better emotional regulation.^[76] Narrative therapy, pioneered by Michael White and David Epston in their 1990 work, facilitates this by helping clients reconstruct fragmented stories—especially those involving trauma—into unified narratives that externalize problems and promote identity integration, thereby reducing psychological distress.^[77]^[78] Cognitive dissonance exemplifies the drive for coherence, where conflicting beliefs or behaviors create psychological tension that motivates resolution toward consistency, as outlined in Leon Festinger's seminal 1957 theory. Individuals reduce dissonance by altering cognitions or behaviors to restore internal harmony, a process that underscores coherence as a fundamental motivator in decision-making and attitude change. In legal contexts, coherence manifests in policy-making and judicial practice to ensure non-contradictory frameworks. For instance, the European Union's policy coherence for development (PCD), enshrined in Article 208 of the Treaty on the Functioning of the EU, mandates that all policies impacting developing countries align with sustainable development goals, such as through impact assessments in trade and climate initiatives to avoid unintended harms like economic disruptions from carbon border taxes.^[79]^[80]^[81] Judicial coherence is upheld through the doctrine of stare decisis, which binds courts to respect prior precedents, fostering predictability and consistency in legal interpretations while balancing reliance interests to prevent arbitrary shifts. Incoherent legislation, such as EU trade agreements that fail to fully support regional integration in partner countries, often leads to legal challenges and policy revisions to restore alignment.^[82] Applications of coherence extend to forensic psychology and emerging AI ethics. In forensic settings, the reliability of witness statements is assessed via testimonial inference to the best explanation, where coherence—such as alignment among multiple accounts with case facts—serves as a key indicator of truthfulness, though it must be weighed against alternatives like collusion to avoid miscarriages of justice. Post-2020, AI ethics has emphasized coherent decision systems by embedding organizational values like fairness and accountability into AI frameworks, moving beyond rigid principles to ensure consistent ethical outcomes in automated processes, as seen in guidelines promoting stakeholder-aligned transparency to mitigate biases.^[83]^[84]

References

[1]
COHERENCE Definition & Meaning - Merriam-Webster
1. The quality or state of cohering: such as a : systematic or logical connection or consistency The essay as a whole lacks coherence.Synonyms of coherence · Coherent · Incoherence
[2]
https://www.etymonline.com/word/coherence
[3]
COHERENCE definition in American English - Collins Dictionary
1. the act or condition of cohering; cohesion 2. the quality of being logically integrated, consistent, and intelligible; congruity<|control11|><|separator|>
[4]
coherent, light, spatial and temporal coherence, monochromaticity
Coherence of light means a fixed phase relationship between the electric field values at different locations or at different times.
[5]
5.4: Coherence - Physics LibreTexts
Sep 16, 2022 · Coherence refers to the ability of light to form interference fringes. All light is partially coherent, with the degree of coherence varying.
[6]
Coherence - an overview | ScienceDirect Topics
Coherence is the state of being systematically or logically connected or consistent (Merriam-Webster Dictionary, 2022).
[7]
What is quantum coherence? | Argonne National Laboratory
Feb 19, 2025 · Coherence is a measure of how well certain systems will maintain their relationships with each other and how well we are able to predict the evolution of those ...
[8]
What Is Coherence in Composition? - ThoughtCo
Apr 25, 2018 · Coherence refers to the meaningful connections that readers or listeners perceive in a written or oral text, often called linguistic or discourse coherence.
[9]
Coherence | Academic Writing in English
We use coherence to cover both the extent to which a text hangs together, as it were, and the various linguistic and structural means of achieving this ...
[10]
Coherence | TeachingEnglish | British Council
Coherence refers to the general sense that a text makes sense through the organisation of its content. In writing, it is provided by a clear and understood ...
[11]
Examples and Definition of Coherence - Literary Devices
Coherence is a literary technique that refers to logical connections, which listeners or readers perceive in an oral or written text.
[12]
Coherence Theory of Truth - The Information Philosopher
A coherence theory bases the truth of a belief on the degree to which it coheres ("hangs together") with all the other beliefs in a system of beliefs.
[13]
What is the coherence theory of truth? | GotQuestions.org
Jan 30, 2025 · The coherence theory of truth, or coherentism, asserts that truth is found in its coherence with a particular set of propositions.
[14]
Truth, coherence theory of - Routledge Encyclopedia of Philosophy
A coherence theory of truth would claim that the beliefs of a given individual are true to the extent that the set of all their beliefs is coherent.
[15]
Coherence Theory of Truth - Bibliography - PhilPapers
Coherence theories of truth identify truth as consisting in coherence with other members of a set. Particularly, a proposition or belief is considered true if ...<|control11|><|separator|>
[16]
coherence, n. meanings, etymology and more | Oxford English ...
OED's earliest evidence for coherence is from around 1580, in Tragedy of Richard II. coherence is a borrowing from French. Etymons: French cohérence. See ...
[17]
Coherence - Etymology, Origin & Meaning
Taken in English from 17c. as a living prefix meaning "together, mutually, in common," and used promiscuously with native words (co-worker) and Latin-derived ...
[18]
Cohere - Etymology, Origin & Meaning
Originating in the 1590s from Latin cohaerere, meaning "to cleave together," cohere means to be consistent or logically connected, also implying physical ...
[19]
[PDF] René Descartes - Principles of Philosophy - Early Modern Texts
To some people it's not obvious that God must exist; that's because of preconceived opinions. As I said, our mind will easily accept this if it first completely.
[20]
Coherence - Definition, Meaning & Synonyms - Vocabulary.com
with plenty of supporting facts.
[21]
Diversity and network coherence as indicators of interdisciplinarity
A conceptual framework that aims to capture interdisciplinarity in the wider sense of knowledge integration, by exploring the concepts of diversity and ...<|separator|>
[22]
[PDF] The Impact of Newell's “A Theory of Interdisciplinary Studies” - ERIC
2). Newell uses the concept of coherence to demonstrate that disciplines are essentially “aligned” and have internal integrity. The disciplines have neatly.
[23]
Polarization and Coherence Optics: Historical Perspective, Status ...
For polarization and coherence optics, the chain of thought extends from the late 1660s to nowadays. We describe some of the milestones.
[24]
Correspondence and coherence in science: A brief historical ...
Jan 1, 2023 · The coherence theory of truth emerged in the work of Immanuel Kant at the end of the eighteenth century. Kantian philosophy became increasingly ...
[25]
Coherence - the living handbook of narratology
Feb 18, 2013 · Coherence is ultimately a pragmatically-determined quality, requiring close attention to the specific sense made of the text in the cultural context.
[26]
The Coherence Theory of Truth - Stanford Encyclopedia of Philosophy
Sep 3, 1996 · A coherence theory of truth states that the truth of any (true) proposition consists in its coherence with some specified set of propositions.Versions of the Coherence... · Criticisms of Coherence... · Bibliography
[27]
Coherence, Truth, and the Development of Scientific Knowledge
Jan 1, 2022 · This paper argues for a more optimistic conclusion, that coherence of the right kind leads to approximate truth.
[28]
Coherence Length - RP Photonics
This coherence length is the propagation length after which the magnitude of the coherence function has dropped to the value of 1 / e . In the literature, one ...What is a Coherence Length? · Calculations · Lasers with Long Coherence...
[29]
Coherence Properties of Optical Fields | Rev. Mod. Phys.
This article presents a review of coherence properties of electromagnetic fields and their measurements, with special emphasis on the optical region of the ...
[30]
Coherent and Incoherent States of the Radiation Field | Phys. Rev.
Glauber, Phys. Rev. Letters 10, 84 (1963); R. J. Glauber, in Proceedings of the Third International Conference on Quantum Electronics, Paris, France, 1963 ...Missing: original | Show results with:original
[31]
https://arxiv.org/pdf/2104.09840
[32]
[PDF] The International System of Units (SI), 2019 Edition
in atomic physics and quantum metrology made over the last 50 years have enabled the definitions of the second, the meter, and the practical representation ...
[33]
SP 330 - Appendix 4 - National Institute of Standards and Technology
Sep 3, 2019 · In 1874 the BAAS introduced the CGS system, a three-dimensional coherent unit system based on the three mechanical units centimeter, gram and ...
[34]
[PDF] 6.013 Electromagnetics and Applications, Course Notes
Apr 7, 2022 · The rationalized international system of units (rationalized SI units) is used, which largely avoids factors of 4π. SI units emphasize ...
[35]
https://archive.org/details/coherencetheoryo0000resc
[36]
30.9 Coherent sheaves on locally Noetherian schemes
We have defined the notion of a coherent module on any ringed space in Modules, Section 17.12. ... Any quasi-coherent quotient module of \mathcal{F} is coherent.
[37]
[PDF] Faisceaux Algebriques Coherents Jean-Pierre Serre The Annals of ...
Sep 23, 2007 · Soit X une variété algébrique, et soit O. -+ une suite exacte de faisceaux sur X , le faisceau étant algébrique cohérent. L'homo- morphisme ...
[38]
Section 10.90 (05CU): Coherent rings—The Stacks project
A ring is coherent if and only if every finitely generated ideal is finitely presented as a module.<|control11|><|separator|>
[39]
33.35 Coherent sheaves on projective space - Stacks project
In this section we prove some results on the cohomology of coherent sheaves on \mathbf{P}^ n over a field which can be found in [Mum].Missing: theorem | Show results with:theorem
[40]
Section 17.12 (01BU): Coherent modules—The Stacks project
The category of coherent sheaves on a ringed space X is a more reasonable object than the category of quasi-coherent sheaves.
[41]
[PDF] arXiv:2104.09840v5 [math.CT] 30 Nov 2021
Nov 30, 2021 · What is a spectral space, also called a coherent topological space? There is a purely topological definition, recalled in the next section, but, ...
[42]
prime ideal structure in commutative rings(1) - jstor
(a) The subcategory of all spectral spaces and surjective spectral maps. (b) For each spectral space X, the subcategory of spectral subobjects of X and.
[43]
[PDF] “Coherence Theory of Truth” by Harold H. Joachim
Harold H. Joachim. The Nature of Truth; An Essay. Oxford: Clarendon Press. 1906. 1. Page 2. “Coherence Theory of Truth” by Harold H. Joachim whole. Joachim ...
[44]
The nature of truth : an essay : Joachim, Harold H ... - Internet Archive
Jul 30, 2006 · The nature of truth : an essay ; Publication date: 1906 ; Topics: Knowledge, Theory of, Truth ; Publisher: Oxford : Clarendon Press ; Collection ...
[45]
The coherence theory of truth : Rescher, Nicholas - Internet Archive
Aug 20, 2019 · The coherence theory of truth. by: Rescher, Nicholas. Publication date: 1973. Topics: Truth -- Coherence theory. Publisher: Oxford : Clarendon ...
[46]
[PDF] The Coherence Theory of Empirical Knowledge - andrew.cmu.ed
(III) An adequate epistemological theory must establish a connection between its account of justification and its account of truth: i.e., it must be shown that ...
[47]
[PDF] 7 The architecture of knowledge
This is part of what might be called the isolation problem: the problem of explaining why coherent systems of beliefs are not readily isolated from truth ...
[48]
[PDF] Truth and Theories of Truth - PhilArchive
Oct 12, 2019 · A standard critique of the coherence theory was famously presented by Russell (1906– ... The Coherence Theory of Truth, London: Routledge. Wittgenstein, Ludwig ( ...
[49]
COHERENCE, EVIDENCE, AND LEGAL PROOF | Legal Theory
May 3, 2013 · The aim of this essay is to develop a coherence theory for the justification of evidentiary judgments in law.
[50]
[PDF] Coherence, Truth, and the Development of Scientific Knowledge*
Explanatory coherence leads to truth when a theory not only is the best explanation of the evidence, but also broadens its evidence base over time and is ...
[51]
Coherentist Theories of Epistemic Justification
Nov 11, 2003 · Principle E4 (Data Priority) reveals that Thagard's theory is not a pure coherence theory, as it gives some epistemic priority to observational ...
[52]
Coherentism in Epistemology | Internet Encyclopedia of Philosophy
We need to consider two relations from deductive logic: logical consistency and mutual derivability. At a minimum, coherence requires logical consistency.
[53]
[PDF] Introduction to Text Linguistics Robert-Alain de Beaugrande ...
The seven standards of textuality: cohesion; coherence; intentionality; acceptability; informativity; situationality; intertextuality. Constitutive versus ...Missing: seminal | Show results with:seminal
[54]
[PDF] Rhetorical Structure Theory: - A Theory of Text Organization
It is a linguistically useful method for describing natural texts, characterizing their structure primarily in terms of relations that hold between parts of ...
[55]
[PDF] Modeling Local Coherence: An Entity-Based Approach
This article proposes a novel framework for representing and measuring local coherence. Central to this approach is the entity-grid representation of ...
[56]
[PDF] Textual coherence in EFL Student Writing - IOSR Journal
Abstract: The study investigates EFL learners' use of coherence relations at three levels of language learning. A corpus of ninety essays was analyzed using ...Missing: applications | Show results with:applications
[57]
[PDF] LLMs as Tools for Evaluating Textual Coherence - SOL-SBC
The research focuses on three areas: local coherence, where models like GPT-4o and Claude Opus excel; global coherence, where Claude. Opus is most effective; ...
[58]
Common Ground in Pragmatics - Stanford Encyclopedia of Philosophy
Oct 3, 2024 · Common ground is a central notion in pragmatics, and a fixture in discussions of reference, presupposition, speech acts, implicature, language conventions, ...Introduction · The mentalist view · Normative views · Outside face-to-face settings
[59]
A discourse-based approach to human-computer communication
Aug 7, 2025 · In a recent paper, the present authors propose an approach to humancomputer communication, founded upon a concept of 'discourse' which is ...
[60]
[PDF] The Pragmatics of Cross-Cultural Communication 1 - Deborah Tannen
Habits of cohesion and coherence are very resistant to change. One who learns the explicit vocabulary and grammar of a new language is likely to stuff it into ...Missing: variations | Show results with:variations
[61]
[PDF] A Primer on Memory Consistency and Cache Coherence, Second ...
The scope will largely follow the purview of premier computer architecture conferences, such as ISCA, HPCA,. MICRO, and ASPLOS. A Primer on Memory Consistency ...
[62]
A class of compatible cache consistency protocols and their support ...
In this paper we define a class of compatible consistency protocols supported by the current IEEE Futurebus design. We refer to this class as the MOESI class of ...
[63]
[PDF] MESIF: A Two-Hop Cache Coherency Protocol for Point-to-Point ...
Nov 17, 2009 · Abstract—We describe MESIF, the first source-snooping cache coherence protocol. Built on point-to-point communication links, the protocol ...
[64]
MESI and MOESI protocols - Arm Developer
There are a number of standard ways by which cache coherency schemes can operate. Most ARM processors use the MOESI protocol, while the Cortex-A9 uses the MESI ...
[65]
[PDF] Cache Coherence Protocols: Evaluation Using a Multiprocessor ...
Using simulation, we examine the efficiency of several distributed, hardware-based solutions to the cache coherence problem in shared-bus multiprocessors.Missing: seminal | Show results with:seminal<|separator|>
[66]
mscohere - Magnitude-squared coherence - MATLAB - MathWorks
Estimate the degree of correlation between all the input signals and each of the output channels. Use a Hamming window of length 100 to window the data.Description · Examples · Input Arguments · More AboutMissing: definition | Show results with:definition
[67]
Coherence -Fundamentals of Signal Processing - VRU - VR University
Jun 2, 2021 · Ordinary coherence is more common in literature. However, ordinary coherence is the magnitude squared of complex coherence.
[68]
The Coherence Function - A Brief Review - Crystal Instruments
Jan 12, 2015 · The coherence function measures how much of the measured output is caused by the measured input, with values between 0 and 1. 1.0 means perfect ...
[69]
[PDF] The Use of Coherence Functions To Determine Dynamic Excitation ...
It was demonstrated that the coherence function technique was effective in identifying and evaluating sources of excitation, for both correlated and ...
[70]
[PDF] A Personal History of Random Data Analysis - Sandv.com
I also showed the importance of coherence functions to predict the spectral properties of output response data. ... Bendat, J. S., and Piersol, A. G., Random data ...
[71]
[PDF] Random Data: Analysis And Measurement Procedures
The emphasis in this new book is on the practical aspects of random data analysis and measurement procedures, with special attention to the inter- relationships ...
[72]
Spectral analysis and its applications : Jenkins, Gwilym M
Feb 12, 2014 · Spectral analysis and its applications. by: Jenkins, Gwilym M; Watts, Donald G., joint author. Publication date: 1968. Topics: Time-series ...Missing: coherency | Show results with:coherency
[73]
Application of sound intensity and partial coherence to identify ...
In this paper, acoustic-vibrational measurements are carried out and sound intensity and partial coherent methods are used to distinguish major interior noise ...
[74]
How to perform a Coherence Analysis for Road Noise?
This article will explain how to perform the coherence analysis in the context of Road Noise, to separate the sources - front x rear / solid x airborne.
[75]
Signal processing with higher-order spectra - Semantic Scholar
Signal processing with higher-order spectra · C. Nikias, J. Mendel · Published in IEEE Signal Processing… 1 July 1993 · Computer Science, Engineering, Physics.Missing: coherence | Show results with:coherence
[76]
A Fluid Self-Concept: How the Brain Maintains Coherence and ...
May 31, 2023 · We present a model of self-concept updating that describes how people track relationships between traits to maintain positivity and coherence ...
[77]
Perceived Autobiographical Coherence Predicts Depressive ...
Mar 17, 2021 · The coherence of autobiographical memories plays an important role in psychological well-being, as borne out by recent studies.
[78]
Relations Between Narrative Coherence, Identity, and Psychological ...
We confirmed the prediction that constructing coherent autobiographical narratives is related to psychological well-being.
[79]
A Theory of Cognitive Dissonance | Stanford University Press
Leon Festinger's theory of cognitive dissonance has been widely recognized for its important and influential concepts in areas of motivation and social ...Missing: coherence | Show results with:coherence
[80]
Coherence and Dissonance: A New Understanding in Management ...
Coherence judgment, as a particular cognitive process, allows the subject to decide about the way to reduce or remove dissonance, and then to verify the effect ...
[81]
[PDF] Understanding policy coherence for development
Nov 28, 2023 · Policy coherence for development (PCD) requires EU and Member States to consider development objectives in all policies affecting developing ...
[82]
"Stare Decisis as Judicial Doctrine" by Randy J. Kozel
Stare decisis is also a judicial doctrine, an analytical system used to guide the rules of decision for resolving concrete disputes that come before the courts.
[83]
Eyewitness evaluation through inference to the best explanation
Sep 28, 2022 · The prosecution argues that the witnesses should be believed, as their testimonies cohere with one another and with the other facts of the case.
[84]
Reimagining AI Ethics, Moving Beyond Principles to Organizational ...
Feb 16, 2024 · By aligning ethical decision-making with organizational values, businesses can ensure consistency and coherence in their approach to AI ethics.