Combining Philosophers

All the ideas for Homer, Gerhard Gentzen and Dougherty,T/Rysiew,P

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17 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]
11. Knowledge Aims / A. Knowledge / 2. Understanding
19542 It is nonsense that understanding does not involve knowledge; to understand, you must know [Dougherty/Rysiew]
19543 To grasp understanding, we should be more explicit about what needs to be known [Dougherty/Rysiew]
11. Knowledge Aims / A. Knowledge / 7. Knowledge First
19541 Rather than knowledge, our epistemic aim may be mere true belief, or else understanding and wisdom [Dougherty/Rysiew]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
19540 Don't confuse justified belief with justified believers [Dougherty/Rysiew]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
19539 If knowledge is unanalysable, that makes justification more important [Dougherty/Rysiew]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
2170 Homer does not distinguish between soul and body [Homer, by Williams,B]
19. Language / C. Assigning Meanings / 2. Semantics
19538 Entailment is modelled in formal semantics as set inclusion (where 'mammals' contains 'cats') [Dougherty/Rysiew]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
2171 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
21819 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
11388 Let there be one ruler [Homer]
28. God / C. Attitudes to God / 5. Atheism
14829 Homer so enjoys the company of the gods that he must have been deeply irreligious [Homer, by Nietzsche]