Combining Philosophers

All the ideas for John Greco, Stuart Glennan and Alan Musgrave

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18 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom has a higher value than understanding, which has a higher value than knowledge [Greco]
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 / 1. Justification / b. Need for justification
If value is practical, knowledge is no better than true opinion [Greco]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
Externalist theories don't explain why knowledge has value [Greco]
14. Science / B. Scientific Theories / 2. Aim of Science
Empiricist theories are sets of laws, which give explanations and reductions [Glennan]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
Modern mechanism need parts with spatial, temporal and function facts, and diagrams [Glennan]
Mechanistic philosophy of science is an alternative to the empiricist law-based tradition [Glennan]
Mechanisms are either systems of parts or sequences of activities [Glennan]
17th century mechanists explained everything by the kinetic physical fundamentals [Glennan]
Unlike the lawlike approach, mechanistic explanation can allow for exceptions [Glennan]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
26. Natural Theory / C. Causation / 4. Naturalised causation
Since causal events are related by mechanisms, causation can be analysed in that way [Glennan]