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Converse

Converse may refer to:
  • Concepts in [[mathematics and logic]], such as the [[logical converse]] of a statement or the [[converse relation]] in set theory
  • [[Geography|Geographical locations]] in the United States, including settlements, counties, and regions
  • [[Vessels|Naval vessels]], such as the [[USS Converse (DD-291)]] and [[USS Converse (DD-509)]]
  • [[Converse (brand)]], an American footwear company known for sneakers like the Chuck Taylor All Star
  • [[Converse as a Surname]], a family name associated with notable individuals
  • [[Converse College]], now part of Converse University in South Carolina

Mathematics and Logic

Logical Converse

In logic, the converse of a conditional statement, expressed as P \to Q (if P, then Q), is the statement Q \to P (if Q, then P). The truth value of the converse is independent of the original conditional and is not logically equivalent to it; while the original may hold, the converse can be true or false on its own merits. For instance, the statement "All cats are mammals" (P \to Q, where P is "is a cat" and Q is "is a mammal") is true, but its converse "All mammals are cats" (Q \to P) is false, as many mammals, such as dogs and humans, are not cats. The concept traces its origins to in Aristotle's syllogistic framework, where conversions involved interchanging subject and predicate terms in categorical propositions to derive valid inferences, such as from "No B is A" to "No A is B." This was later formalized in modern propositional logic, where implications and their converses are analyzed using symbolic notation and truth tables to assess validity. In theorem proving, the converse of a proven requires its own independent proof, even if the original holds; for example, the states that in a right-angled , the square of the equals the sum of the squares of the other two sides (a^2 + b^2 = c^2), and its converse—that if a^2 + b^2 = c^2 in a , then it is right-angled—is true but proven separately using geometric constructions or arguments. A common misconception is assuming that a true conditional implies its converse is also true, leading to a biconditional statement (P \leftrightarrow Q) where both directions hold equivalently; this error, known as the fallacy of the converse, occurs when the reverse implication is unproven or false. The converse in propositional logic parallels the set-theoretic converse of a binary relation, which reverses ordered pairs, though the former focuses on implications rather than relations.

Converse Relation

In , the converse of a R \subseteq A \times B is the relation R^c \subseteq B \times A defined by R^c = \{ (b, a) \mid (a, b) \in R \}, which reverses the order of elements in each pair. This operation swaps the domain and codomain of the relation while preserving its cardinality. Common notations for the converse include R^{-1} or \tilde{R}, emphasizing its role as an inverse in the relational sense. For example, if R = \{ (1,2), (2,3) \} \subseteq \mathbb{N} \times \mathbb{N}, then R^c = \{ (2,1), (3,2) \}. The properties of reflexivity, , and are preserved under converse: R is reflexive if and only if R^c is reflexive, R is if and only if R = R^c, and R is if and only if R^c is . If R represents a from A to B, then R^c is a from B to A but is not necessarily a , as multiple elements in A may map to the same element in B, resulting in multiple outputs for a single input in R^c. Applications of the converse relation appear in , where it corresponds to reversing the direction of all edges in a ; in , where the converse of a partial yields its ; and in database queries, where it facilitates reverse joins to retrieve related records in the opposite direction. For instance, the "less than" relation < on the real numbers has converse >, and both are asymmetric relations, meaning if a < b then not b < a, and similarly for the converse.

Converse in Semantics

In semantics and , converse relations describe pairs of expressions that denote the same underlying relation between entities but from or reversed perspectives. For instance, the pair "buy" and "sell" captures a commercial transaction such that X buys an item from Y Y sells it to X, while "" and "" express a generational from opposite viewpoints. These relations are inherently asymmetric, involving two participants where the direction or focus shifts between them./06%3A_Lexical_sense_relations/6.02%3A_Identifying_Sense_Relations) Converse pairs can be categorized into lexical converses, which are directly encoded in the as inherent opposites like "above" and "below," and derived converses, which emerge from perspective reversals in relational verbs such as "give" and "receive," where the transfer of possession is viewed from the donor's or recipient's standpoint. This distinction highlights how language encodes relational dynamics through built-in lexical items or contextual shifts. The theoretical foundations of converse relations trace back to structural semantics, influenced by Ferdinand de Saussure's emphasis on meaning as arising from systematic oppositions and interdependencies within the linguistic . Subsequent developments in , notably by John Lyons and D. Alan Cruse, formalized these as relational antonyms—distinct from complementary or gradable antonyms—focusing on their role in expressing viewpoints rather than mere or opposition. Unlike antonyms, which often denote incompatible qualities (e.g., "hot" vs. "cold"), converses maintain the relation's existence while inverting the participants' roles. Illustrative examples include "teach" and "learn from," where one term describes the instructor's action implying the learner's reception, forming a direct pair. In contrast, non-converses like "kill" lack a straightforward (there is no lexical "unkill" or "die by"), underscoring that not all unidirectional actions yield converses. These pairs draw foundational support from the mathematical notion of a , which inverts a while preserving its essence./06%3A_Lexical_sense_relations/6.02%3A_Identifying_Sense_Relations) In , converse relations facilitate tasks such as paraphrase detection by identifying semantically equivalent sentences through relational inversions (e.g., recognizing "X hired Y" as equivalent to "Y was hired by X") and enhance by ensuring consistent perspective handling across languages. These applications leverage converse awareness to improve models and cross-lingual alignment.

Converse Accident

The converse , also known as the fallacy of or reverse , is a in where an exception to a general rule is improperly generalized to apply universally, leading to an invalid broad conclusion. This error occurs when atypical or limited instances are treated as representative of all cases, effectively inverting the fallacy of by moving from specific exceptions to unwarranted generalizations. It is closely related to hasty generalization but specifically emphasizes overextending exceptions rather than insufficient alone. Aristotle did not explicitly distinguish the converse accident in his Sophistical Refutations, where he identified the related fallacy of accident as one of thirteen sophistical refutations, defined as claiming an attribute belongs similarly to a thing and its accident (SR 5, 166b28). The concept of converse accident emerged later in logical analysis as the inverse of accident, formalized in modern texts like Irving M. Copi's Introduction to Logic (1953), which categorizes it among informal fallacies of generalization. In , the proceeds from a specific instance that qualifies an exception—"This particular X is not Y due to circumstance Z"—to the invalid conclusion "No X is Y," ignoring the general rule that most X are Y under normal conditions. For example, observing that "one vegetarian I know is unhealthy due to poor diet choices, so must be unhealthy for everyone" overgeneralizes from an exceptional case without considering the broader supporting benefits in typical scenarios. Another illustration is arguing "I know a hardworking who failed an , therefore hard work does not lead to success," which dismisses the general by focusing on an atypical failure. The converse accident is the inverse of the accident fallacy, where a general rule is misapplied to an exception, whereas here the exception undermines the rule entirely; it is distinct from the non-fallacious logical converse in implications, which validly reverses conditional statements like "if P then Q" to "if Q then P" only under specific equivalence conditions. As a subtype of hasty generalization, it shares the error of insufficient sampling but uniquely prioritizes exceptions to refute established patterns. To avoid the converse accident, reason inductively by gathering diverse evidence before generalizing, or qualify statements with conditions such as "generally" or "in most cases" to acknowledge potential exceptions without invalidly dismissing the rule.

Geography

Settlements in the United States

Converse is the name of several incorporated and unincorporated settlements across the , primarily small communities with roots in 19th-century development tied to transportation and natural resources. In , Converse is a town straddling and counties in the northern part of the state. Laid out in 1849 as by O.H.P. Macy and Willis , it was renamed Converse on August 1, 1892. The community experienced growth through railroad expansion and a boom in the late , supporting local and industry. As of the 2020 , the population was 1,164. In Blackford County, , Converse is a nearly extinct unincorporated community in Jackson . Originally platted in the late , it featured a from 1880 to 1904 and was tied to local agriculture and rail lines, now consisting mainly of scattered farms and residences. Converse, , is a village in Sabine Parish in the northwestern part of the state. Established around 1906 along the Kansas City Southern Railroad, it developed amid the region's lumber industry, which drove economic activity through timber harvesting and milling in the early . The village later shifted toward farming and small-scale commerce. The 2020 census recorded a population of 379. The largest settlement is , a city in Bexar County northeast of . Named for James Converse, chief engineer of the , who acquired land there in 1877, the community began as a railroad stop and grew slowly as a farming area. Post-World War II suburban expansion transformed it into a residential enclave, with incorporation occurring in 1961. By the 2020 census, the population reached 27,466. Smaller unincorporated or extinct communities bearing the name Converse include one in Clinton County, Missouri, laid out in 1870 as a railroad station with a post office operating until 1933, now largely vanished with fewer than 100 historical residents. In Spartanburg County, South Carolina, Converse is a census-designated place originally tied to textile mills and agriculture, with a 2020 census population of 534 and a 2023 ACS estimate of 424. Efforts to locate communities in Erie County, New York, and Erie County, Ohio, yielded no verified settlements of notable size or historical record under that name. These places often trace their origins to 19th-century railroad development or resource extraction, with many named after local businessmen or executives involved in transportation. Over time, economies transitioned from rail-dependent agriculture and lumber to modern suburban or rural residential uses.

Counties and Regions in the United States

Converse County in Wyoming is the principal administrative division in the United States bearing the name Converse. Established on March 9, 1888, from portions of Albany and Laramie counties, it covers a land area of approximately 4,255 square miles and had a population of 13,751 according to the 2020 United States Census. The county seat is Douglas, selected by popular vote on May 18, 1888, reflecting the rapid organization of frontier governance in the Wyoming Territory. Named for Amasa R. Converse, a prominent banker and pioneer who supported early territorial development through financial investments in ranching and infrastructure, the county embodies the economic ambitions of late-19th-century settlers. Its geography centers on the valley, with expansive prairies, buttes, and the , which includes significant portions of the —a 553,000-acre federal area managed for mixed-grass prairie preservation, wildlife habitat, and resource extraction. This grassland, spanning Converse and adjacent counties, supports amid historical grazing lands and modern energy activities. The economy of Converse County relies heavily on energy production and , with and natural gas fields like the Big Muddy Oil Field contributing to regional output, alongside in the and emerging wind energy projects. Ranching remains a , sustaining operations on the vast open ranges, while tourism draws visitors to sites like Fort Fetterman State Historic Site, established in during conflicts with Native American tribes. An energy boom in the from the early 2000s through the mid-2010s spurred population growth, with the county adding residents tied to extraction before stabilizing around 13,800 by the late 2010s. Demographically, Converse County maintains a rural character, with low and a median age of about 41 years, reflecting communities centered on resource industries rather than urban centers. The region's history includes significant Native American influences, as the area served as hunting grounds for the prior to Euro-American settlement, with treaties like the 1851 Treaty of Fort Laramie delineating boundaries that encompassed much of present-day . Conflicts, such as the 1866 Fetterman Massacre near Fort Fetterman involving Cheyenne and warriors, underscored the tensions during the Indian Wars era. Converse County's formation played a role in Wyoming's path to statehood in , as its organization in helped consolidate territorial administration amid ranching expansions and railroad arrivals that boosted Douglas as a hub. No other current counties in the United States are named Converse, though historical records note minor townships or districts with the name in states like during early 19th-century land divisions before modern county formations.

Vessels

USS Converse (DD-291)

USS Converse (DD-291) was a of the , named in honor of George Albert Converse (1844–1909), a pioneering naval officer who advanced the use of electricity, smokeless powder, and torpedo boats during his career, including service in the Spanish-American War. She was laid down on 13 August 1919 by the at Squantum, , launched on 28 November 1919 under the sponsorship of Miss E. C. Colt, and commissioned on 28 April 1920 with Lieutenant Commander E. G. Haas in command. Upon entering service, Converse joined the Atlantic Fleet, initially operating in a reserve status from 11 June 1920 to support Naval Reserve training along the coast. Full commissioning followed on 1 July 1922, after which she participated in fleet problems and engineering evaluations. As a standard Clemson-class vessel, Converse displaced 1,190 tons at standard load, measured 314 feet 5 inches in length with a of 31 feet 8 inches and of 9 feet 10 inches, and achieved a speed of 35 knots powered by two turbines and four Yarrow boilers. Her armament included four 4-inch/50-caliber guns in single mounts, twelve 21-inch tubes arranged in three quadruple launchers, and provisions for depth charges, with a complement of approximately 120 officers and enlisted personnel. During her experimental phase, modifications included testing equipment like the Arma gyro compass and a reduced battery to four tubes, alongside two 3-inch anti-aircraft guns. From 1922 to 1928, Converse conducted operations along the East Coast and in the , including a goodwill cruise to European ports such as , , , and from 18 June 1924 to 16 July 1925, as well as participation in Force exercises and fleet problems that honed interwar . In 1926 and 1927, she supported Naval Reserve training cruises, and from 23 February 1927, she evaluated the innovative Flettner rudder—a cycloidal device designed to improve maneuverability—during trials in the . Redesignated an experimental ship of the Fleet in 1928, Converse conducted advanced tests for the Bureau of Engineering, including boiler and trials in the and , as well as torpedo firings at and evaluations in . She saw no combat service but contributed significantly to technology in the . Decommissioned on 1 May 1930 at the Navy Yard, she was struck from the Naval Register and sold for scrapping on 17 January 1931 in compliance with the London Naval Treaty. The name Converse was later reused for the USS Converse (DD-509).

USS Converse (DD-509)

USS Converse (DD-509) was a Fletcher-class destroyer in the United States Navy, the second ship named for Rear Admiral George Albert Converse (1844–1909), who had previously been honored by the earlier USS Converse (DD-291). Her keel was laid down on 23 February 1942 by Bath Iron Works in Bath, Maine, and she was launched on 30 August 1942, sponsored by Miss Audrey V. Jackson, granddaughter of the namesake admiral. The ship was commissioned on 20 November 1942 under the command of Commander D. C. E. Hamberger. As a standard Fletcher-class vessel, Converse displaced 2,050 tons at standard load, measured 376 feet 6 inches in length with a beam of 39 feet 4 inches and draft of 13 feet 9 inches, and achieved a maximum speed of 36.5 knots. Her armament included five 5-inch/38 caliber guns in single mounts, ten 21-inch torpedo tubes in two quintuple mounts, four 1.1-inch quadruple anti-aircraft guns, four 20 mm anti-aircraft guns, two depth charge tracks, and six projectors. The ship carried a complement of 273 officers and enlisted personnel. Following shakedown operations, Converse arrived at , , on 17 May 1943 and began escorting convoys to and supporting operations in the group. Assigned to ("Little Beavers"), she participated in the northern Solomons campaign from 31 October 1943 to 4 February 1944, earning the Presidential Unit Citation for actions including the landings on 31 October–1 November, where she screened cruisers during shore bombardment, and the on 1–2 November, during which she helped sink a and . On 16–17 November 1943, she engaged and damaged a , and on 24–25 November, as part of a night surface action off Cape St. George, she contributed to sinking three . Throughout 1944, Converse escorted fast carriers during strikes on the Palaus, Hollandia, Truk, , and the Marianas, fighting in the on 19–20 June. In the Philippines campaign, she provided duty during the in October 1944, escorted resupply convoys to on 21 December, and supported landings at , , (where she fired star shells under enemy fire to aid troops on 26 February 1945), and . Her final wartime duty was service off Okinawa from 16 May 1945 until the end of hostilities. For her World War II service, Converse received the Presidential Unit Citation and 11 battle stars on the Asiatic-Pacific Campaign Medal, recognizing participation in campaigns such as the Treasury-Bougainville and operations, the Hollandia and Marianas operations, the and operations, and the Okinawa Gunto operation. Converse was decommissioned on 23 April 1946 at , and placed in the Atlantic Reserve Fleet. On 1 July 1959, under the Mutual Defense Assistance Program, she was transferred to the and renamed Almirante Valdés (D-23), serving until stricken on 17 November 1986 and subsequently scrapped in 1988.

Other Uses

Converse (brand)

Converse is an footwear and apparel company founded in 1908 by Marquis Mills Converse in , initially focusing on the production of rubber and other weather-related . The company expanded into athletic shoes in 1917 with the of the Non-Skid, one of the first basketball-specific designs, marking its entry into the sports market. Over the following decades, Converse became synonymous with culture, particularly through its iconic canvas high-top sneakers. The brand's most famous product, the Chuck Taylor , originated in the early 1920s as a performance shoe and gained widespread recognition after player Charles "Chuck" Taylor endorsed it in 1923, leading to his signature on the ankle patch by 1934. Other notable lines include the Jack Purcell, introduced in 1935 as a badminton and shoe designed for Jack Purcell, with Converse acquiring the rights in 1972; the One Star, launched in 1971 and later embraced by skateboarders; and the Pro Leather, a premium sneaker debuted in 1976 and popularized by NBA star . In terms of ownership, Converse was acquired by the Eltra Corporation in 1972 and later faced financial challenges, filing for in 2001 before being purchased by , for $305 million in 2003, operating as a wholly-owned since then. Under Nike, the generated approximately $2.4 billion in revenue for fiscal year 2023 and $1.7 billion for 2025. Converse products are sold in over 160 countries worldwide, reflecting its global reach. Culturally, Converse has symbolized youth rebellion and creativity since the 1970s, when it was adopted by bands like the , and through the 1980s and 1990s by artists and icons such as of Nirvana, who helped cement its status in alternative scenes. High-profile collaborations, including limited-edition designs with musicians and brands, have further amplified its influence in and culture. In recent years, Converse has prioritized sustainability through initiatives like the Renew collection, launched in 2019, which incorporates recycled materials such as from plastic bottles and upcycled into products like the Chuck Taylor All Star.

Converse as a Surname

The surname is of English origin, derived from the word "convers," meaning "converted," typically referring to an individual who had converted from secular life to or, in some cases, from to during the medieval period. It may also trace to roots, denoting someone from the place Coignières in . In the United States, the surname is borne by approximately 5,870 individuals as of recent estimates, primarily concentrated in states like , , and . Many American bearers of the Converse surname descend from early settlers who arrived in the 17th century, including Deacon Edward Converse, who emigrated from to the around 1630 and helped found . His lineage includes notable descendants in , reflecting the family's ties to Puritan communities and subsequent westward migration. Among historical figures, Amasa Rice Converse (1842–1885) was a prominent banker and cattle rancher in Cheyenne, Wyoming, where he co-founded the First National Bank and amassed wealth through ranching investments during the territory's boom years. Converse County, Wyoming, established in 1888, was named in his honor for his contributions to the region's economic development. Another key historical individual was Harriet Maxwell Converse (1836–1903), an author, poet, and advocate for Native American rights, particularly among the Iroquois (Haudenosaunee) Confederacy. Adopted into the Seneca nation's Snipe Clan in 1884, she documented Iroquois myths, legends, and governance structures in works like Myths and Legends of the New York State Iroquois (1908), while lobbying Congress for land rights and cultural preservation on behalf of Indigenous communities. Frank B. Converse (1837–1903), though better known as a pioneering banjoist and instructor in early American minstrel shows, contributed to the development of banjo techniques that influenced 19th-century theater and music performance. His instructional methods and compositions helped popularize the instrument in vaudeville and concert settings across the United States. In the modern era, (born 1938) is an American actor recognized for leading roles in television series such as N.Y.P.D. (1967–1969) and Movin' On (1974–1976), as well as stage work on , including revivals of . Political scientist Philip E. Converse (1928–2018) advanced the field of research through seminal studies on voter behavior and belief systems, notably co-authoring The American Voter (1960), which shaped understandings of electoral dynamics. The surname also appears in the founding of the Converse footwear brand by Marquis Mills Converse (1861–1931), a businessman who established the Converse Rubber Shoe Company in 1908.

Converse College

Converse College was established in 1889 in , by a group of local leaders seeking to provide for women in the region. The institution was named in honor of Dexter Edgar Converse, a prominent magnate and philanthropist who contributed significantly to its founding through land donations and financial support. Originally envisioned as a , it opened its doors on October 1, 1890, with an initial enrollment of 117 students, emphasizing a rigorous that included sciences, languages, and the fine arts to prepare women for intellectual and professional pursuits. Over the decades, Converse evolved from its early focus on women's education into a comprehensive while maintaining its commitment to liberal arts excellence. By the , it introduced coeducational graduate programs, marking the first such expansion beyond its undergraduate model, and its total enrollment grew to support diverse offerings in , , and the . The college reached a notable undergraduate peak of approximately 930 students in 2017, reflecting steady growth amid regional demand for quality . Academically, Converse prioritized interdisciplinary learning, particularly in the and emerging fields like and health sciences, while holding from the Southern Association of Colleges and Schools Commission on Colleges (SACSCOC) since its early years, ensuring alignment with national standards for women's and liberal arts . Among its distinguished are Pulitzer Prize-winning Julia Peterkin, known for her depictions of Southern life, and Broadway performer Kimilee Bryant, highlighting the 's impact on creative and intellectual fields. In 2021, facing enrollment challenges common to small liberal arts colleges, Converse transitioned its undergraduate programs to coeducational status and officially adopted the name to reflect its expanded scope, including robust graduate and online offerings. This evolution preserved its historic campus in Spartanburg while broadening access, with current total enrollment exceeding 1,900 students across undergraduate and graduate levels. The university's legacy endures as a pioneer in Southern women's , fostering generations of leaders through its emphasis on and . As of 2025, Converse continues to thrive, earning recognition in U.S. News & World Report's Best Colleges rankings in the 2026 edition as #33 (tie) in Regional Universities South and #8 in Best Value Schools, supported by a vibrant alumni network and ongoing digital initiatives to archive its rich history.

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