Combining Texts

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

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21 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
23445 Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
23447 In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
23443 The axioms of group theory are not assertions, but a definition of a structure [Linnebo]
23444 To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
23446 You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
23448 Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
23441 Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
23442 Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo]
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]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]