Combining Philosophers

All the ideas for William S. Jevons, Gerhard Gentzen and George Dickie

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10 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]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
8628 I hold that algebra and number are developments of logic [Jevons]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
20443 The aesthetic attitude is nothing more than paying close attention [Dickie, by Giovannelli]
21. Aesthetics / B. Nature of Art / 6. Art as Institution
20329 A work of art is an artifact created for the artworld [Dickie]
8114 The institutional theory says only a competent expert can decree something to be an art work [Dickie, by Gardner]