Combining Texts

All the ideas for 'The Intentionality of Sensation', 'Logicism Revisited' and 'The Meaning of the Word'

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11 ideas

3. Truth / A. Truth Problems / 2. Defining Truth
You can only define a statement that something is 'true' by referring to its functional possibilities [James]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
If the hypothesis of God is widely successful, it is true [James]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
The If-thenist view only seems to work for the axiomatised portions of mathematics [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]
15. Nature of Minds / B. Features of Minds / 5. Qualia / b. Qualia and intentionality
The qualities involved in sensations are entirely intentional [Anscombe, by Armstrong]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]