A Certain Kind of Formal Theories

Author:

Ono Katuzi

Abstract

A common feature of formal theories is that each theory has its own system of axioms described in terms of some symbols for its primitive notions together with logical symbols. Each of these theories is developed by deduction from its axiom system in a certain logical system which is usually the classical logic of the first order.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. On a Practical Way of Describing Formal Deductions

2. Der Minimalkalkül, ein reduzierter intutionistischer Formalismus;Johansson;Compositio Mathematicae,1936

3. A Theory of Mathematical Objects as a Prototype of Set Theory

4. Intuitionistische Untersuchungen der formalistischen Logik

5. Sur quelques points de la logique de M. Brouwer, Academie Royale de Belgique, Bull;Glivenko;de la classe des sciences, ser,1929

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1. On Reducibility of Provability in the Primitive Logic [LO];Nagoya Mathematical Journal;1970-03

2. On a class of set-theoretical interpretations of the primitive logic;Journal of the Mathematical Society of Japan;1969-07-01

3. On a Formalism Which Makes any Sequence of Symbols Well-Formed;Nagoya Mathematical Journal;1968-06

4. Certain Method for Generating a Series of Logics;Nagoya Mathematical Journal;1968-01

5. Does Mathematics Need Something other than Logic?;Annals of the Japan Association for Philosophy of Science;1968

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