Combining Philosophers

All the ideas for Dennis Whitcomb, Alan Musgrave and Anjan Chakravarrty

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15 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
The devil was wise as an angel, and lost no knowledge when he rebelled [Whitcomb]
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]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Powers give explanations, without being necessary for some class membership [Chakravartty]
9. Objects / D. Essence of Objects / 5. Essence as Kind
A kind essence is the necessary and sufficient properties for membership of a class [Chakravartty]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Cluster kinds are explained simply by sharing some properties, not by an 'essence' [Chakravartty]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Explanation of causal phenomena concerns essential kinds - but also lack of them [Chakravartty]
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 / B. Natural Kinds / 4. Source of Kinds
Some kinds, such as electrons, have essences, but 'cluster kinds' do not [Chakravartty]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Many causal laws do not refer to kinds, but only to properties [Chakravartty]