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His affirmation of the dualism of appearance and reality was the result of a critique of the category of relations, which, by introducing contradictions between the qualities of the thing, utterly shattered the unity of experience in which it might seem that true reality could be reached a reality that in Bradley's view it is not given to thought to attain.
However, he found that one category of relations, viz., asymmetrical transitive relations, resisted any such reduction to the properties of the relata or the whole formed of them.
Following Boethius, medieval philosophers often take Aristotle's use of the plural to indicate that the category of relations must be at least conceived of as containing pairs of correlatives or converse relational accidents (see, e.g., Abelard, Logica 'ingredientibus', 80 95; and Albert the Great, Liber de praedicamentis, 22).
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It is dependent, as any predication in the category of relation presupposes corresponding predications in non-relational categories, but it nevertheless remains ineliminable: any analysis of a relation needs to mention alongside the more fundamental categorical items some relational entity as well.
According to Bacon, the concept of sign belongs to the category of relation.
Through the function of the category of relation Kepler passes over to the active function of the mind (or soul).
So that, if we seek the place of a moral obligation among the categories, it belongs to the category of relation" (EAP 3.3.5, 173).
Real relatives are aggregates compounded by a substance and a relation, so that they fall under the category of relation only indirectly (per reductionem) because of their accidental form.
The category of Relation has a single maxim, "Be relevant", while the final category of Manner has a short "super" maxim "Be perspicuous" which has various submaxims (1989, 27).
Here we encounter the third and final function of symbolic meaning, the significative function (Bedeutungsfunktion), which is exhibited most clearly, according to Cassirer, in the "pure category of relation".
This theory has been studied most thoroughly with regard to Auriol's ideas concerning the category of relation (cf. e.g., Henninger 1989, pp. 150 73; Brower 2014, section 3.1; Friedman 2013, pp. 550 56).
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