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Theory of categories
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===Kant=== {{main|Category (Kant)}} In the ''[[Critique of Pure Reason]]'' (1781), [[Immanuel Kant]] argued that the [[Category (Kant)|categories]] are part of our own mental structure and consist of a set of ''a priori'' concepts through which we interpret the world around us.<ref> ''Op.cit.3'' p.87</ref> These concepts correspond to twelve logical functions of the understanding which we use to make judgements and there are therefore two tables given in the ''Critique'', one of the Judgements and a corresponding one for the [[Category (Kant)|Categories]].<ref>''Ibid.'' pp.107,113</ref> To give an example, the logical function behind our reasoning from ground to consequence (based on the [[Hypothetical syllogism|Hypothetical relation]]) underlies our understanding of the world in terms of cause and effect (the [[Causality|Causal relation]]). In each table the number twelve arises from, firstly, an initial division into two: the Mathematical and the Dynamical; a second division of each of these headings into a further two: Quantity and Quality, and Relation and Modality respectively; and, thirdly, each of these then divides into a further three subheadings as follows. {{col-begin}} {{col-break}} Table of Judgements Mathematical *Quantity **Universal **Particular **Singular *Quality **Affirmative **Negative **Infinite Dynamical *Relation **Categorical **Hypothetical **Disjunctive *Modality **Problematic **Assertoric **Apodictic {{col-break}} Table of Categories Mathematical *[[Quantity]] **Unity **Plurality **[[Absolute (philosophy)|Totality]] *[[Quality (philosophy)|Quality]] **[[Reality]] **[[Negation]] **Limitation Dynamical *[[Relation of Ideas|Relation]] **[[Inherence]] and [[Subsistence economy|Subsistence]] ([[Substance theory|substance]] and [[accident]]) **[[Causality]] and Dependence ([[cause]] and [[Result|effect]]) **Community (reciprocity) *[[Modal logic|Modality]] **[[Logical possibility|Possibility]] **[[Existence]] **[[Need|Necessity]] {{col-end}} [[Critique of the Kantian philosophy|Criticism of Kant's system]] followed, firstly, by [[Arthur Schopenhauer]], who amongst other things was unhappy with the term "Community", and declared that the tables "do open violence to truth, treating it as nature was treated by old-fashioned gardeners",<ref>Schopenhauer A. ''The World as Will and Representation'' (tr. Payne A., Dover Publications, London, New York, 1966) p.430</ref> and secondly, by [[Walter Terence Stace|W.T.Stace]] who in his book ''The Philosophy of Hegel'' suggested that in order to make Kant's structure completely symmetrical a third category would need to be added to the Mathematical and the Dynamical.<ref>''Op.cit.15'' p.222</ref> This, he said, Hegel was to do with his category of concept.
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