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Inverted spectrum

The inverted spectrum is a in the and that hypothesizes two individuals could have systematically inverted color experiences—for instance, one perceiving hues that the other would describe as as , and —while demonstrating identical behavioral responses, linguistic conventions, and discriminatory abilities regarding colors. This concept originated with in his (1689), where he posited that the simple ideas arising from secondary qualities, such as colors, could differ radically between minds due to variations in sensory organs, yet remain unknowable and inconsequential for communication or practical utility, as one person's mind cannot access another's perceptions. For example, Locke imagined a scenario where a violet might evoke the same idea in one observer's mind as a does in another's, without implying any falsehood in their respective ideas or nomenclature. In this context, Locke used the idea to underscore the subjective nature of sensory experiences and the limitations of intersubjective knowledge about , or the phenomenal aspects of . In , the inverted spectrum has been revitalized as a challenge to reductive theories of mind, particularly and , which attempt to explain mental states solely in terms of their causal roles or underlying brain processes. Sydney Shoemaker's influential article, "The Inverted Spectrum," developed the argument by considering intrasubjective inversion—such as a person's color experiences flipping over time, like after a hypothetical neural alteration—while maintaining functional equivalence, thereby suggesting that possess intrinsic properties beyond observable behavior or physiology. Philosophers like have extended this through variants, such as "Inverted ," where environmental adaptations (e.g., inverted color spectra on another planet combined with inverting lenses) allow subjects to match normal behavioral norms despite divergent phenomenal experiences. The underscores key debates in , including the explanatory gap between physical descriptions of the brain and subjective feelings, the undetectability of inversions (whether through behavior, , or ), and the viability of representationalist views that tie phenomenal character to about the external . Critics, such as intentionalists like Eric Marcus, argue that such inversions are not truly imaginable without altering representational , thereby failing to refute theories linking experience to of objective properties. Despite these challenges, the inverted spectrum remains a cornerstone for exploring whether can be fully naturalized or if it involves irreducible subjectivity.

Historical Development

Lockean Foundations

The philosophical roots of spectrum inversion trace back to John Locke's distinction between primary and secondary qualities in his (1689), where he argued that qualities such as color are secondary, residing not in the objects themselves but in the powers of those objects to produce ideas in the perceiver's mind. Locke posited that primary qualities like shape, size, and motion inhere in objects independently of perception and resemble the ideas they cause in the mind, whereas secondary qualities like color, , and are merely the sensations or ideas evoked by the interaction of primary qualities with sensory organs. This empiricist framework emphasized that secondary qualities depend entirely on the perceiver, laying the groundwork for considering how perceptual experiences might differ across individuals without altering the underlying physical reality. Locke illustrated this variability with examples suggesting that the same object could elicit inverted sensory experiences in different observers due to differences in their sensory apparatus, such as a appearing to one person but or to another with altered vision, like in , yet producing no observable behavioral differences. He explicitly contemplated the possibility that "the same object should produce in several men’s minds different ideas at the same time," as in one mind receiving the idea from a that another receives from a , and vice versa, underscoring that such inversions in secondary qualities like color remain undetectable externally. These ideas highlighted the subjective of , where the mind's interpretation of sensory input could invert without impacting judgments based on primary qualities. In the historical context of 17th-century , Locke's primary-secondary distinction profoundly influenced subsequent by challenging the Aristotelian view of qualities as objective properties and promoting an understanding of knowledge as derived from sensory experience. This framework became foundational to British , emphasizing observation over innate ideas and paving the way for debates on the mind's role in shaping reality. Early extensions in the , particularly by in A Treatise Concerning the Principles of Human Knowledge (), built upon Locke's ideas to advance , arguing that even primary qualities like extension and figure exist only as ideas in the mind, with no independent material substance. critiqued Locke's partial retention of primary qualities as mind-independent, instead positing that all sensible qualities, including colors, are perceptions ("esse est percipi") and vary subjectively across perceivers, as seen in differing sensations of heat or color under varied conditions. By rejecting any substratum for qualities beyond the perceiving mind, radicalized Locke's insights into a full denial of unperceived , further emphasizing the potential for inverted perceptual experiences inherent in subjective sensation.

Twentieth-Century Formulations

The inverted spectrum concept experienced a significant revival in mid-twentieth-century , particularly through Ludwig Wittgenstein's (1953), where his (§243–271) questioned the meaningfulness of private, unverifiable differences. Wittgenstein contended that naming sensations in a purely private ostensive manner lacks criteria for correct use, implying that assertions about inverted spectra—such as one person's red experience matching another's green—cannot be coherently maintained without public behavioral or linguistic checks. This argument influenced later discussions by highlighting the epistemic barriers to detecting or describing intrasubjective or intersubjective inversions. Sydney Shoemaker's seminal 1982 paper, "The Inverted Spectrum," further formalized the idea within the framework of , arguing that color concepts are defined by their functional roles in formation, , and behavior, yet spectrum inversion remains possible if are not exhausted by these roles. Shoemaker introduced twin scenarios to illustrate this: consider identical twins raised in identical environments, where one develops a normal color spectrum and the other an inverted one from birth, leading to indistinguishable functional behaviors but divergent phenomenal experiences, thus underscoring the non-functional, intrinsic nature of . In 1988, C. L. Hardin’s Color for Philosophers: Unweaving the Rainbow integrated spectrum inversion into , examining how physiological and perceptual mechanisms might allow for such inversions while challenging reductionist views of color as mere physical properties. Hardin argued that empirical data on , including asymmetries in the , do not preclude the logical possibility of inversion, thereby bridging philosophical speculation with scientific constraints on . Ned 's 1990 essay "Inverted Earth" built on these foundations by elaborating internal spectrum inversion as a counter to externalist theories of content, positing that even if environmental factors determine representational content, intrinsic could still be inverted without affecting observable functions. Block focused on scenarios where an individual's color experiences are swapped relative to a twin world, emphasizing that such inversions reveal a gap between phenomenal and intentional content.

Core Concept

Basic Thought Experiment

The thought experiment posits the possibility of two individuals who are physically identical in their brain states and behavioral responses to visual stimuli, yet colors in systematically inverted ways. Imagine person A and person B, both raised in identical environments from birth, with the same visual apparatus and neural wiring. For A, the phenomenal of seeing a ripe —what it is like to perceive redness—is qualitatively distinct from B's of the same object, where B's sensation corresponds to what A would describe as greenish. Conversely, B's of green matches A's redness, while their experiences of other colors, such as and , are similarly swapped along the . This inversion applies uniformly across all colors, ensuring no discrepancies in their overall color perceptions arise in everyday contexts. Despite this qualitative difference in their internal experiences, A and B remain indistinguishable in their behavior and linguistic reports. Both would call the tomato "red" and react with identical physiological responses, such as increased if the color signals danger in a conditioned experiment, because their functional associations—linking "red" to stop signs, , or —are learned identically through shared environmental cues. They would pass any behavioral test designed to assess color , sorting objects into the same categories and describing scenes with matching , rendering the inversion empirically undetectable from an external observer's perspective. The core intuition here, as articulated by Sydney Shoemaker, hinges on the idea that phenomenal qualities, or —the subjective "what it is like" aspect of experience—do not supervene solely on functional or physical properties but could differ while preserving all observable equivalences. To visualize this, consider a simple analogy of the : for A, the wavelength band around 650 nm (typically ) evokes a warm, vivid , while for B, it evokes a cool, leafy one; the bands invert symmetrically, like a mirror reflection across the midpoint, without altering the continuity or discriminability of the as a whole. This setup assumes a pure internal inversion, where the swap occurs entirely within the mind independent of external stimuli, though introductory variations might involve minor environmental adjustments, such as altered lighting during development, to maintain the inversion's stability without behavioral divergence. The traces its modern formulation to Shoemaker's 1982 analysis, building on earlier suggestions by that words for sensory ideas might mask underlying experiential differences between individuals.

Key Assumptions

The inverted spectrum relies on several foundational assumptions to establish its philosophical coherence and challenge theories of mind. Central among these is the assumption of behavioral equivalence, which posits that individuals with inverted —those experiencing colors in a reversed manner, such as seeing where others see —would exhibit identical outward behaviors to those without inversion. This includes passing all functional tests, such as color naming (e.g., calling a ripe tomato "red") and discrimination tasks (e.g., distinguishing from objects as effectively as non-inverters), rendering the inversion undetectable through observation or interaction. Another key premise is the conceivability of qualia inversion, which holds that subjective experiences, or , can differ intrinsically between individuals without altering observable behavior or underlying neural states. In this scenario, the inverter's phenomenal experience of "redness" might qualitatively resemble the non-inverter's experience of "greenness," yet both would respond similarly to stimuli, highlighting a potential gap between conscious experience and its physical or functional correlates. To ensure the inversion remains undetectable, the assumes it occurs from birth or very early in development, preventing any learning-based adaptations or discrepancies that might arise from later-onset changes. This "from-birth" inversion allows the individual's color vocabulary and behavioral responses to align seamlessly with societal norms, as associations between colors and words would form under the inverted conditions from the outset. The argument further presupposes a non-reductive stance toward mental states, asserting that possess intrinsic properties that extend beyond their causal or functional roles in behavior and cognition. Under reductive views like or , such intrinsic features would be exhaustively explained by brain states or input-output relations, but the inverted spectrum assumes they are not, allowing for the possibility of experiential differences independent of these roles. Finally, the distinguishes between logical possibility and metaphysical possibility, maintaining that spectrum inversion is conceivable in a logical sense—even if it may not be physically realizable in our world—thereby probing the limits of what mental states could be without contradicting . This conceivability underscores the argument's aim to question whether subjective experience is fully captured by objective descriptions.

Philosophical Implications

Challenge to Physicalism

Physicalism, the view that all mental phenomena are ultimately physical or supervenient on the physical, faces a significant challenge from the inverted spectrum thought experiment through its implications for the supervenience principle. This principle asserts that mental states supervene on physical states, such that any two individuals who are physically identical in the relevant respects must also be identical in their mental states. The inverted spectrum posits two individuals who are physically and behaviorally indistinguishable yet experience colors inversely—for instance, one perceives a ripe as while the other experiences it as green—demonstrating that identical physical bases can yield divergent , thereby violating supervenience and suggesting that phenomenal properties are not fully determined by physical ones. A key mechanism in this challenge is the argument from conceivability, which leverages the intuitive possibility of spectrum inversion to undermine . If it is conceivable for two physically identical beings to have inverted qualia without any behavioral or functional differences, and if conceivability entails metaphysical possibility under standard assumptions, then qualia cannot supervene on physical (or even functional) properties, as the scenario describes worlds physically indiscernible but phenomenally distinct. This line of reasoning, prominently developed in modern form by Sydney Shoemaker, implies that fails to account for the intrinsic nature of conscious experience. The inverted spectrum also has direct implications for identity theory, particularly type-identity , which claims that types are strictly identical to physical state types—for example, the of is identical to the firing of C-fibers in the brain. In an inversion scenario, the same physical processes (e.g., specific neural activations in response to wavelengths) could realize inverted color experiences, showing that like "seeing " are not reducible to any particular physical type, as the identity would fail across inverted cases. This undermines the reductive ambitions of type-identity theory by highlighting the non-equivalence between phenomenal content and physical realizers. This challenge parallels Frank Jackson's in the Mary's room , where a with exhaustive physical knowledge of nonetheless acquires new information upon directly experiencing color, revealing a gap between physical facts and phenomenal facts. Similarly, the inverted spectrum illustrates that complete physical description cannot capture the subjective character of , as inverted individuals could possess identical physical knowledge yet differ in their experiential realities, reinforcing the anti-physicalist thrust that qualia transcend physical explanation. In response, some contemporary physicalists appeal to token physicalism, which maintains that each particular mental event (token) is identical to a particular physical event without requiring uniform type-type correspondences across individuals, potentially accommodating inversion by permitting qualia to be realized differently in token cases while remaining physical. However, type physicalism struggles more acutely, as it demands strict type identities that the conceivability of inversion directly contradicts, forcing proponents either to reject the scenario's possibility or to revise the theory's reductive claims.

Critique of Functionalism

in the holds that mental states, such as the experience of seeing or believing something is , are to be identified with functional states defined by their causal relations to sensory inputs, motor outputs, and other mental states, independent of any intrinsic qualitative "feel" or specific physical realization. The poses a direct challenge to this account by illustrating how two individuals could occupy identical functional states yet differ in their phenomenal experiences, or . For instance, consider identical twins raised in identical environments except that one wears color-inverting lenses from birth; both would respond similarly to stimuli—such as stopping at traffic lights labeled ""—and discriminate colors in the same functional manner, but the lens-wearer might experience what appears where the other experiences . This functional indistinguishability, despite divergent , indicates that overlooks the subjective content of , reducing it to behavioral and causal roles without capturing what it is like to have those experiences. Sydney Shoemaker, a functionalist, defends his theory against this objection by contending that concepts of color qualia are themselves functional, grounded in the roles they play in enabling perceptual discriminations, behavioral responses, and relations to other mental states. In his view, an inverted spectrum scenario would involve not a mere difference in qualia but a difference in the functional concepts employed, such that the inverter's "red" experience aligns with their own functional profile, preserving the claim that qualia are fully accounted for under functionalism. Critics, however, argue that this maneuver begs the question about qualia, as it presupposes that their intrinsic, introspectible nature can be exhaustively defined functionally without addressing why phenomenal similarities—such as the felt resemblance between two shades of red—should be constrained by causal roles rather than constituting an independent domain of experience. The problem gains further traction in considerations of machine functionalism, where a computational system could replicate the functional organization of human color vision—processing inputs and generating outputs indistinguishably—yet plausibly lack qualia or possess inverted ones, revealing a disconnect between functional realization and the presence of conscious phenomenology. Overall, the inverted spectrum suggests that functionalism provides an incomplete theory of consciousness, necessitating additional principles to bridge the explanatory gap between causal roles and phenomenal properties.

Criticisms and Objections

Behavioral Detection Issues

One prominent objection to the posits that any inversion would manifest in detectable behavioral differences, rendering the scenario implausible. Critics argue that if an individual's color experiences were inverted—such as perceiving what others call "" as green-like—subtle discrepancies would emerge in everyday interactions, undermining claims of perfect behavioral equivalence. A specific concern involves color memory and cross-modal tasks, where inverters might struggle to align recalled experiences with current perceptions. For instance, an inverter asked to visualize "" while viewing a object could falter in tasks requiring consistent cross-sensory matching, as their internal representation of red would differ from normative ones, potentially revealed through experimental probes like memory-based color or verbal tests. Similarly, linguistic and could expose inversions over time; an inverter might inconsistently apply color metaphors (e.g., describing as "" in a way that mismatches cultural norms) or exhibit atypical preferences in and , leading to observable slips in conversation or decision-making. Empirical psychology provides supporting evidence through conditions like and , where variations correlate with behavioral markers. In grapheme-color , induced colors influence performance in tasks akin to real chromatic stimuli, such as faster responses to congruent color-word pairings in interference tests, suggesting that altered inevitably alter reactive dispositions. Likewise, yields clear behavioral signatures, including impaired discrimination in Ishihara plate tests or slowed reaction times in traffic signal identification, illustrating how perceptual deviations produce measurable functional impacts. Proponents of the inverted spectrum counter that a perfect inversion from birth, coupled with identical functional organization, would preclude such detections by ensuring all behavioral dispositions align precisely. However, critics like maintain that real neural systems lack the to sustain undetectable inversions, as are inextricably linked to dispositional and behavioral profiles, dismissing the scenario as incoherent and empirically untestable.

Evolutionary and Biological Constraints

Evolutionary pressures have shaped human color vision to align perceptual experiences with environmental demands, rendering spectrum inversion biologically implausible. Color discrimination, particularly for detecting ripe fruits or blood against foliage, evolved through to enhance survival fitness, as evidenced by the trichromatic system in adapted to forested habitats where red-green contrasts signal sources. An inverted spectrum would disrupt this alignment, leading to mismatched responses to ecologically critical stimuli and reduced , thereby being selected against over generations. This functional adaptation ties to specific survival roles, making abstract inversions incompatible with evolutionary constraints. Neuroscientific evidence further underscores the uniformity of color processing across individuals, challenging the feasibility of inverted spectra. Functional MRI studies reveal that perceptual color experiences are encoded similarly in the , particularly in area V4, where neural representations of hues like and show consistent patterns of tied to opponent-process channels. This hardwiring, conserved across human brains, reflects a shared cortical architecture that processes chromatic signals from the in a standardized manner, minimizing variability that could permit undetectable inversions. Disruptions, such as in , alter these representations detectably, suggesting that any inversion would require improbable neural rewiring without affecting downstream behaviors or physiology. At the biological level, the sensitivities of cone photoreceptors—long (L), medium (M), and short (S)—fundamentally constrain spectrum inversion. These cones absorb light at overlapping but distinct peaks (approximately 564 for L, 534 for M, and 420 for S), generating signals that the interprets via opponent processes to produce color perceptions. Swapping these sensitivities, as hypothesized in inversion scenarios, would necessitate extensive genetic and developmental changes in photopigments and wiring, yet maintain identical behavioral outputs—an outcome biologically implausible given the fixed molecular basis of cone opsins and their evolutionary conservation. Rare cases like pseudonormal color vision, where L and M pigments are swapped due to genetic anomalies, still result in near-normal functioning through compensatory adaptations, not inverted . Philosophers Gilbert Harman and Joseph have critiqued inverted spectrum arguments by emphasizing the ecological embedding of . In the 1990s, Harman contended that experiences possess intrinsic qualities only insofar as they serve functional roles in an agent's interaction with the world, rejecting abstract inversions detached from environmental context. Levine similarly argued that are constrained by their explanatory role in bridging physical processes and phenomenal awareness, tying them to biological functions rather than permitting freestanding inversions that ignore neural and ecological realities. These critiques highlight how , if they exist, must cohere with the organism's adaptive needs, undermining the conceivability of undetectable spectrum flips. Despite these constraints, some philosophers counter that evolution accounts solely for behavioral functions, leaving the intrinsic nature of experiences underdetermined and preserving the logical possibility of inversion. Figures like maintain that while selection pressures ensure functional equivalence, they do not dictate the phenomenal character of , allowing for conceivable divergences in subjective experience without evolutionary penalty. This preserves the thought experiment's challenge to , even as biological evidence limits its empirical plausibility.

Inverted Earth Variant

The Inverted Earth variant, introduced by philosopher in 1990, extends the inverted spectrum by incorporating environmental and linguistic factors to challenge theories of mental content that rely on external relations. In this scenario, Inverted Earth is a planet physically identical to in most respects, but with an inverted color spectrum in its environment—such as grass appearing and the sky yellow to unaided observers—and a correspondingly inverted color , where inhabitants use color terms oppositely to those on (e.g., what Earthlings call "red" is labeled "green" by Inverted Earth residents). A person from is abducted by scientists, fitted with permanent color-inverting lenses while unconscious, and transported to Inverted Earth, where they replace a molecular duplicate (their "twin") who remains on . The lenses invert the already inverted environmental colors, resulting in the traveler's visual experiences matching those they had on , allowing them to adapt seamlessly without noticing any change. Over time, the traveler learns the local inverted color language and integrates into Inverted Earth society, using terms like "" to refer to objects that produce experiences qualitatively identical to their pre-abduction experiences on (e.g., their "" experience aligns with Earth's objects, which are labeled "" on Inverted Earth). Meanwhile, their Earth twin continues normal life, with color experiences and terminology aligned standardly (e.g., genuine experiences labeled ""). Both individuals exhibit indistinguishable behavior within their respective environments, as their wide functional roles—encompassing internal states, linguistic practices, and interactions with their surroundings—appear identical from an external perspective. This setup addresses content externalism, drawing on Hilary Putnam's twin earth arguments, by demonstrating that the representational content of color experiences depends not just on internal qualia but on external factors like environmental cues and social conventions. Unlike the basic inverted spectrum, which posits pure internal inversion without environmental adjustment, Inverted Earth inverts the broader functional system, including the world beyond the skin, to test whether qualia can diverge even when wide content and behavior align. If the twins were to swap environments— the Inverted Earth resident returning to Earth without lenses, and vice versa—behavioral discrepancies would emerge, as each would encounter mismatches between their expected and the local color cues (e.g., the former resident seeing a apple through residual inversion as greenish, yet expecting their "" ). This indirect revelation through chaos upon exchange underscores the variant's emphasis on how inversion disrupts externalist accounts of mental content, revealing underlying differences in phenomenal experience that evade standard behavioral detection.

Connections to Qualia Debates

Qualia refer to the ineffable, subjective, and phenomenal aspects of conscious experience, such as the distinctive "what it is like" to perceive the color . In the context of the , qualia inversion illustrates that these subjective properties cannot be fully captured by third-person descriptions of physical processes or functional roles, as two individuals could exhibit identical behaviors and neural states while experiencing systematically reversed qualia, such as one seeing where the other sees . This highlights the intrinsic, non-relational nature of , which resist reduction to observable or relational features. The inverted spectrum plays a central role in David Chalmers' formulation of the "hard problem" of consciousness, which questions why physical processes in the brain give rise to any qualia at all, rather than merely enabling cognitive functions. Chalmers argues that scenarios like qualia inversion demonstrate an between objective physical facts and subjective experience, as no amount of information about neural mechanisms or functional organization can account for the presence or specific character of qualia. In his 1996 work, The Conscious Mind, Chalmers uses related arguments, such as fading and dancing qualia, to reinforce this gap, showing that gradual shifts in qualia could occur without altering physical or behavioral descriptions, thus evidencing that qualia do not supervene on physical states alone. The inverted spectrum also parallels philosophical zombie arguments in qualia debates, where are conceivable beings physically and functionally identical to conscious humans but lacking entirely. Just as challenge physicalist reductions by suggesting consciousness is not necessitated by physical duplicates, inverted qualia scenarios propose that experiential differences could exist undetected, implying are non-physical properties not entailed by functional or structural . This connection strengthens dualist and non-reductive positions, as both thought experiments rely on the conceivability of qualia variations without corresponding physical or behavioral changes. In contrast, Dennett's eliminativist stance dismisses as illusory constructs, using the inverted spectrum to argue that about subjective experience is unreliable and prone to error. Dennett contends that qualia inversion scenarios, if possible, would undermine claims of ineffable intrinsic properties, as they reveal experiences as mere judgments or dispositions shaped by language and culture, not independent realities. By "quining" —treating them as a flawed folk-psychological notion—he posits that such debates dissolve once we abandon the quest for private, incommunicable sensations. Post-2000 developments have integrated debates, including inverted spectrum considerations, with of , exploring how neural correlates might inform but not resolve the hard problem. Theories such as representationalism and information-processing models attempt to naturalize by linking them to brain-wide or electromagnetic fields, yet these approaches face ongoing critiques for failing to bridge the evidenced by inversion arguments. Despite advances in and computational modeling, the philosophical stalemate persists, with inverted remaining a key challenge to reductive explanations of .

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