Combining Philosophers

All the ideas for Timon, T.H. Huxley and Gerhard Gentzen

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9 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
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
The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
The logical connectives are 'defined' by their introduction rules [Gentzen]
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
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
Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
That honey is sweet I do not affirm, but I agree that it appears so [Timon]
17. Mind and Body / A. Mind-Body Dualism / 6. Epiphenomenalism
T.H.Huxley gave the earliest clear statement of epiphenomenalism [Huxley, by Rey]
Brain causes mind, but it doesn't seem that mind causes actions [Huxley]