Combining Philosophers

All the ideas for Berys Gaut, Gerhard Gentzen and Benjamin Franklin

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14 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]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Maybe literary assessment is evaluating the artist as a suitable friend [Gaut]
21. Aesthetics / B. Nature of Art / 2. Art as Form
Formalists say aesthetics concerns types of beauty, or unity, complexity and intensity [Gaut]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
'Moralism' says all aesthetic merits are moral merits [Gaut]
Good ethics counts towards aesthetic merit, and bad ethics counts against it [Gaut]
If we don't respond ethically in the way a work prescribes, that is an aesthetic failure [Gaut]
Good art does not necessarily improve people (any more than good advice does) [Gaut]
23. Ethics / B. Contract Ethics / 8. Contract Strategies
Punctuality and justice in dealings are excellent for raising a man in the world [Franklin]
24. Political Theory / D. Ideologies / 11. Capitalism
Time is money, ..credit is money, ..and money breeds more money [Franklin]