Combining Philosophers

All the ideas for Paul Bernays, Cheryl Misak and Alan Musgrave

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24 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
23277 Modern pragmatism sees objectivity as possible, despite its gradual evolution [Misak]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
19108 Truth is proper assertion, but that has varying standards [Misak]
19094 For pragmatists the loftiest idea of truth is just a feature of what remains forever assertible [Misak]
19105 Truth isn't a grand elusive property, if it is just the aim of our assertions and inquiries [Misak]
19100 Truth makes disagreements matter, or worth settling [Misak]
19099 'True' is used for emphasis, clarity, assertion, comparison, objectivity, meaning, negation, consequence... [Misak]
19103 'That's true' doesn't just refer back to a sentence, but implies sustained evidence for it [Misak]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
19101 Disquotation is bivalent [Misak]
19096 Disquotationalism resembles a telephone directory [Misak]
19106 Disquotations says truth is assertion, and assertion proclaims truth - but what is 'assertion'? [Misak]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
19098 Deflating the correspondence theory doesn't entail deflating all the other theories [Misak]
19104 Deflationism isn't a theory of truth, but an account of its role in natural language [Misak]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
10304 Very few things in set theory remain valid in intuitionist mathematics [Bernays]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
10061 The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
10065 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
10049 Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
10050 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
10058 No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10303 Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
10306 Mathematical abstraction just goes in a different direction from logic [Bernays]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
10062 Formalism seems to exclude all creative, growing mathematics [Musgrave]
10063 Formalism is a bulwark of logical positivism [Musgrave]
7. Existence / D. Theories of Reality / 4. Anti-realism
19109 The anti-realism debate concerns whether indefeasibility is a plausible aim of inquiry [Misak]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
10060 Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]