Combining Philosophers

All the ideas for Carl Hempel, Thomas M. Scanlon and Alan Musgrave

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14 ideas

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]
14. Science / A. Basis of Science / 4. Prediction
Explanatory facts also predict, and predictive facts also explain [Hempel, by Okasha]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Scientific explanation aims at a unifying account of underlying structures and processes [Hempel]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
For Hempel, explanations are deductive-nomological or probabilistic-statistical [Hempel, by Bird]
The covering-law model is for scientific explanation; historical explanation is quite different [Hempel]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Hempel rejects causation as part of explanation [Hempel, by Salmon]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
23. Ethics / B. Contract Ethics / 9. Contractualism
Right and wrong concerns what other people cannot reasonably reject [Scanlon]