Combining Texts

All the ideas for 'Defending the Axioms', 'The Limits of Reason' and 'Steps Towards a Constructive Nominalism'

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17 ideas

3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
18696 The vagueness of truthmaker claims makes it easier to run anti-realist arguments [Button]
3. Truth / D. Coherence Truth / 1. Coherence Truth
18701 The coherence theory says truth is coherence of thoughts, and not about objects [Button]
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 / J. Model Theory in Logic / 1. Logical Models
18694 Permutation Theorem: any theory with a decent model has lots of models [Button]
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 / 2. Realism
18692 Realists believe in independent objects, correspondence, and fallibility of all theories [Button]
7. Existence / D. Theories of Reality / 4. Anti-realism
18693 Indeterminacy arguments say if a theory can be made true, it has multiple versions [Button]
18695 An ideal theory can't be wholly false, because its consistency implies a true model [Button]
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
17619 We renounce all abstract entities [Goodman/Quine]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
18700 Cartesian scepticism doubts what is true; Kantian scepticism doubts that it is sayable [Button]
14. Science / A. Basis of Science / 4. Prediction
18698 Predictions give the 'content' of theories, which can then be 'equivalent' or 'adequate' [Button]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
18697 A sentence's truth conditions are all the situations where it would be true [Button]