Combining Philosophers

All the ideas for C.J. Thomae, Alfred R. Mele and Gerhard Gentzen

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8 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic

11022

Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

11065

The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]

11023

The logical connectives are 'defined' by their introduction rules [Gentzen]

11213

Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]

5. Theory of Logic / H. Proof Systems / 4. Natural Deduction

13832

Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

10067

Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]

18. Thought / E. Abstraction / 8. Abstractionism Critique

8638	Thomae's idea of abstract from peculiarities gives a general concept, and leaves the peculiarities [Frege on Thomae]

20. Action / A. Definition of Action / 1. Action Theory

20057

Philosophy of action studies the roles of psychological states in causing behaviour [Mele]