The Formality of Pure Logic: I. Kant and G. Frege. Journal Article

Writer: Yury.Chernoskutov ؛

مجموعه مقالات دانشگاه علامه طباطبایی مقالات همایش بین المللی دویست سال پس ازکانت (30 آبان - 1و2 آذر 1383) (‎10 page(s) - From 261 to 270 )

Keywords: Frege Formal Gottlob Frege

Machine summary:

"The functioning of next level of cognition, understanding, is described, according to Kant, by so called 'pure', or 'general logic', which is formal as well, just because it abstracts from all content, whether empirical or transcendental; the forms of understanding are a priori as well. Der Zielpunkt meiner Bestrebungen ist eine lingua characterica zun0chst ftir die Mathematik, nicht ein auf reine Logik beschr0nkter calculus [Frege80, 177], In fact, this Kantian presupposition was one of the ultimate reasons(at least on a philosophical side), which led him to distinction of 'Sinn' and 'Bedeutung'. In view of above mentioned Kant's opinions concerning unproductivity of formal, objectless knowledge, in particular, his dictum that formally consistent knowledge might contradict the object of that knowledge, it becomes obvious that this feature of Frege's outlooks has its roots in the Kantian anti-formalism. I've drawn these analogies in order to show that this attitude, which was finally formulated by Frege as availability of special realm of unreal but objective entities which constitutes subject of logic, is not contingent addition to his logicism, but is ground which led different authors to similar conclusions. The following feature of Frege's logic is also closely connected with his 22 International Conference On Two Hundred Years After Kant doctrine of the third realm and demonstrates another one point of Frege's departing from Kantian version of formalism. Defining logic as inquiry of interconnections among truths, which in turn are associated with the realm containing objective but not actual thoughts as well as numbers, he provided presuppositions for logic(formal in modern sense)could be applied to something beyond thinking."

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