Combining Texts

All the ideas for 'Defending the Axioms', 'Philosophical Essay on Probability' and 'Mental Content'

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21 ideas

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]
13. Knowledge Criteria / C. External Justification / 7. Testimony
7458 The reliability of witnesses depends on whether they benefit from their observations [Laplace, by Hacking]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
23805 Some explanations offer to explain a mystery by a greater mystery [Schulte]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
3441 If a supreme intellect knew all atoms and movements, it could know all of the past and the future [Laplace]
18. Thought / C. Content / 1. Content
23796 Naturalists must explain both representation, and what is represented [Schulte]
23793 On the whole, referential content is seen as broad, and sense content as narrow [Schulte]
23795 Naturalistic accounts of content cannot rely on primitive mental or normative notions [Schulte]
23806 Naturalist accounts of representation must match the views of cognitive science [Schulte]
23804 Maybe we can explain mental content in terms of phenomenal properties [Schulte]
23792 Phenomenal and representational character may have links, or even be united [Schulte]
18. Thought / C. Content / 9. Conceptual Role Semantics
23802 Conceptual role semantics says content is determined by cognitive role [Schulte]
18. Thought / C. Content / 10. Causal Semantics
23797 Cause won't explain content, because one cause can produce several contents [Schulte]
18. Thought / C. Content / 11. Teleological Semantics
23799 Teleosemantics explains content in terms of successful and unsuccessful functioning [Schulte]
23800 Teleosemantic explanations say content is the causal result of naturally selected functions [Schulte]
18. Thought / C. Content / 12. Informational Semantics
23798 Information theories say content is information, such as smoke making fire probable [Schulte]