Combining Texts

All the ideas for 'fragments/reports', 'Mental Content' and 'The Philosophy of Mathematics'

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21 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
9193 ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
9194 The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
9195 Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
9186 First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
9187 Logical truths and inference are characterized either syntactically or semantically [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
9191 Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
9192 The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
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]
18. Thought / C. Content / 1. Content
23792 Phenomenal and representational character may have links, or even be united [Schulte]
23795 Naturalistic accounts of content cannot rely on primitive mental or normative notions [Schulte]
23804 Maybe we can explain mental content in terms of phenomenal properties [Schulte]
23806 Naturalist accounts of representation must match the views of cognitive science [Schulte]
23793 On the whole, referential content is seen as broad, and sense content as narrow [Schulte]
23796 Naturalists must explain both representation, and what is represented [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]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]