Combining Texts

All the ideas for 'A Combinatorial Theory of Possibility', 'Logicism Revisited' and 'The Structure of Content'

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11 ideas

3. Truth / B. Truthmakers / 6. Making Negative Truths
Negative existentials have 'totality facts' as truthmakers [Armstrong, by Lewis]
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]
10. Modality / B. Possibility / 1. Possibility
All possibilities are recombinations of properties in the actual world [Armstrong, by Lewis]
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
Beliefs are states of the head that explain behaviour, and also items with referential truth-conditions [McGinn]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]