Combining Philosophers

All the ideas for Hesiod, Alan Musgrave and Richard Foley

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14 ideas

2. Reason / A. Nature of Reason / 6. Coherence
Coherentists seek relations among beliefs that are simple, conservative and explanatory [Foley]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism seems to exclude all creative, growing mathematics [Musgrave]
Formalism is a bulwark of logical positivism [Musgrave]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Rational internal belief is conviction that a proposition enhances a belief system [Foley, by Vahid]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / c. Disjunctivism
Externalists want to understand knowledge, Internalists want to understand justification [Foley]
13. Knowledge Criteria / B. Internal Justification / 2. Pragmatic justification
We aren't directly pragmatic about belief, but pragmatic about the deliberation which precedes it [Foley]
Justification comes from acceptable procedures, given practical constraints [Foley]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]