科学哲学
Online ISSN : 1883-6461
Print ISSN : 0289-3428
ISSN-L : 0289-3428
adjunction小考
清水 義夫
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ジャーナル フリー

1998 年 31 巻 1 号 p. 17-33

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The following relation between operations F and G is called an adjoint situation or adjunction, and such a relation occurs almost everywhere in logic and mathematics; F(C)→B ⇔ C→G(B). The relation between A∧ and A⊃ which are primitive connectives in logic is a well-known example. So to understand the primitiveness of these connectives, it is necessary to clarify the essence of adjointness. For this purpose the author thinks tentatively that two operations G and F in an adjunction ultimately correspond to two mental functions (i.e. projection and reflexion) which are always found in a primitive state of our consciousness.

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