Combining Philosophers

All the ideas for Myles F. Burnyeat, Alan Musgrave and C.D. Broad

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16 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
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
Logical truths may contain non-logical notions, as in 'all men are men' [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 is a bulwark of logical positivism [Musgrave]
Formalism seems to exclude all creative, growing mathematics [Musgrave]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
A thing is simply a long event, linked by qualities, and spatio-temporal unity [Broad]
Surely the past phases of a thing are not parts of the thing? [Broad]
If short-lived happenings like car crashes are 'events', why not long-lived events like Dover Cliffs? [Broad]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
Broad rejects the inferential component of the representative theory [Broad, by Maund]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Intellectualism is an excessive emphasis on reasoning in moral philosophy [Burnyeat]
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
The present and past exist, but the future does not [Broad, by Dummett]
We could say present and past exist, but not future, so that each event adds to the total history [Broad]
27. Natural Reality / D. Time / 2. Passage of Time / d. Time series
We imagine the present as a spotlight, moving across events from past to future [Broad]