Combining Philosophers

All the ideas for Walter Burley, William Whewell and Alan Musgrave

expand these ideas     |    start again     |     specify just one area for these philosophers


12 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 / 6. Successive Things
Days exist, and yet they seem to be made up of parts which don't exist [Burley]
Unlike permanent things, successive things cannot exist all at once [Burley]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
The primary qualities are mixed to cause secondary qualities [Burley]
14. Science / D. Explanation / 2. Types of Explanation / d. Consilience
Consilience is a common groundwork of explanation [Whewell]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]