Combining Texts

All the ideas for 'Defending the Axioms', 'Introduction to a Secret Encyclopaedia' and 'Pragmatism and Deflationism'

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21 ideas

1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
13099 Analysing right down to primitive concepts seems beyond our powers [Leibniz]
3. Truth / A. Truth Problems / 8. Subjective Truth
5022 We hold a proposition true if we are ready to follow it, and can't see any objections [Leibniz]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
19100 Truth makes disagreements matter, or worth settling [Misak]
19094 For pragmatists the loftiest idea of truth is just a feature of what remains forever assertible [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]
19105 Truth isn't a grand elusive property, if it is just the aim of our assertions and inquiries [Misak]
19108 Truth is proper assertion, but that has varying standards [Misak]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
19101 Disquotation is bivalent [Misak]
19106 Disquotations says truth is assertion, and assertion proclaims truth - but what is 'assertion'? [Misak]
19096 Disquotationalism resembles a telephone directory [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 / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
7. Existence / D. Theories of Reality / 4. Anti-realism
19109 The anti-realism debate concerns whether indefeasibility is a plausible aim of inquiry [Misak]