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A Primer on the History of Categorical Knowledge

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The paper explores the historical development of categorical knowledge, tracing its evolution from Aristotle's early categorization to contemporary advancements in philosophical methods. Key influences include alchemical thought, Kant's ethical categorization, and 20th-century contributions to modal realism and coherentism. The study culminates in a proposed method of categorical deduction, emphasizing the significance of non-causal inference and the interplay between opposites in defining categories.

A PRIMER ON THE HISTORY OF CATEGORICAL KNOWLEDGE TIMELINE ~300 BC Aristotle’s Categories The Categories demonstrates an early attempt at exclusivity using nine categories, which later influenced scientists who arrived at the Five Kingdoms of nature. This was also influential on the development of variablist mathematics. Aristotle’s logical syllogisms (causal inference) Perhaps the most influential accomplishment in intellectual history was Aristotle’s formulation of logical or causal inference. However, the syllogism left people with the task of artificially constructing the role of conditionals. In this respect it was incomplete. 1400’s Alchemical references influential for later qualifics The alchemists’ obsession with the elements of nature, and in particular the specialization and highly specialized use of symbols was a strong influence in formulating the later categorical deduction, because of the combination of exceptions and qualities. However, in this case it existed in a raw form, that was contingent upon a mythology. Aquinas improves rhetorical archetype His arguments for God greatly improved the world’s optimism about the function of rhetorical arguments, as a kind of recovery from the Sophists. 1600’s Rene Descartes uses the Cartesian Diagram for mathematics His use of the famous diagram was a missed opportunity for an early development of categorical deduction. It was also the beginning of a mathematical and logical model that was improved over the centuries. 1700’s Leibniz’s Monads (metaphysical categories) His concept of monadology greatly influenced metaphysical thinkers to think in categorical terms. Kant’s Categorical Imperative Categories arrived in ethics primarily with Kant’s formulations of the categorical imperative, and extensive efforts at reasoning about the irrational. 1800’s Pragmatism and Psychology (additional objectivity) Categories first gained a popular reputation for having properties with the introduction of psychology. Pragmatism was an important departure from dogmatic traditions. 1900’s Mathematical Incompleteness (motive for exclusive categories) The partial collapse of mathematics under set theory left much to be wanted in the world of logic, suggesting ultimately that some forms of deduction existed that were not causally related. Modal Realism (limits found in Aristotelian logic) C.I. Lewis and David K. Lewis and others clarified the foundations of modal realism, which accepted the limits of mathematics, remaining strictly theoretical. However, the focus on non-mathematical (e.g. metaphysical) concepts prompted others to focus on archetypes rather than traditional logic. Coherentism Using Traditional Logic Rescher’s work adopted pragmatic rules, beginning the coherentist movement as a concept. Here there was a reliance on Aristotelian logic, but hints of something new. 2013 Note: much of the work of this period was focused on natural kinds, inherency, semantics, ontology, and related fields. As such, it often missed the exceptionalistic or coherent backbone of methodology. Coppedge’s Categorical Deduction (distinguished as a non-causal inference) Making use of polar opposites, and defining them to be exclusive of categories, my method adopts a technique similar to analogy to compound categories and arrive at new statements, a form of non-causal inference. The assumptions are roughly (1) the reality of opposites, (2) That a context is not opposite, (3) That what is not opposite must be the rational description, because the opposite opposes the definition in the pair, and (4) Descriptions are ideally coherent. Objective Coherentism (linear-hierarchical-contingent method) Along with the categorical deduction is the variety of methods available to vary the method, such as differences in typological hierarchy, methods of translation, and methods of un-relatedness. These methods, described in The Dimensional Philosopher’s Toolkit, provide a platform for future inquiries into typology and category theory. Nathan Coppedge, SCSU 10/1/2013
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