Combining Texts

All the ideas for 'fragments/reports', 'Pragmatism and Deflationism' and 'Review of Chihara 'Struct. Accnt of Maths''

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20 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Truth is proper assertion, but that has varying standards [Misak]
For pragmatists the loftiest idea of truth is just a feature of what remains forever assertible [Misak]
Truth isn't a grand elusive property, if it is just the aim of our assertions and inquiries [Misak]
Truth makes disagreements matter, or worth settling [Misak]
'True' is used for emphasis, clarity, assertion, comparison, objectivity, meaning, negation, consequence... [Misak]
'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
Disquotation is bivalent [Misak]
Disquotationalism resembles a telephone directory [Misak]
Disquotations says truth is assertion, and assertion proclaims truth - but what is 'assertion'? [Misak]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflating the correspondence theory doesn't entail deflating all the other theories [Misak]
Deflationism isn't a theory of truth, but an account of its role in natural language [Misak]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
Abstract algebra concerns relations between models, not common features of all the models [Burgess]
How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
7. Existence / D. Theories of Reality / 4. Anti-realism
The anti-realism debate concerns whether indefeasibility is a plausible aim of inquiry [Misak]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]