Combining Texts

All the ideas for 'Logicism Revisited', 'Truth is not the Primary Epistemic Goal' and 'Commentary on 'Posterior Analytics''

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13 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
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]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
By comparing qualities and features, reason can gradually infer the nature of substance [Grosseteste]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Epistemology does not just concern knowledge; all aspects of cognitive activity are involved [Kvanvig]
11. Knowledge Aims / A. Knowledge / 5. Aiming at Truth
Making sense of things, or finding a good theory, are non-truth-related cognitive successes [Kvanvig]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
The 'defeasibility' approach says true justified belief is knowledge if no undermining facts could be known [Kvanvig]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
Reliabilism cannot assess the justification for propositions we don't believe [Kvanvig]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]