Combining Philosophers

All the ideas for Homer, Gerhard Gentzen and David Conway

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16 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]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Homer does not distinguish between soul and body [Homer, by Williams,B]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
The 'will' doesn't exist; there is just conclusion, then action [Homer, by Williams,B]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
Plato says the Good produces the Intellectual-Principle, which in turn produces the Soul [Homer, by Plotinus]
24. Political Theory / C. Ruling a State / 2. Leaders / a. Autocracy
Let there be one ruler [Homer]
24. Political Theory / D. Ideologies / 11. Capitalism
Capitalism may actually be the best way to foster community [Conway,D]
Capitalism is just the market, with optional limited government, and perhaps democracy [Conway,D]
Capitalism breaks up extended families, and must then provide welfare for the lonely people [Conway,D]
Capitalism prefers representative democracy, which avoids community decision-making [Conway,D]
Capitalism is anti-community, by only valuing individuals, and breaking up families [Conway,D]
28. God / C. Attitudes to God / 5. Atheism
Homer so enjoys the company of the gods that he must have been deeply irreligious [Homer, by Nietzsche]