Combining Texts

All the ideas for 'Mathematics without Numbers', 'Truth Rehabilitated' and 'Intro to 'Modality and Tense''

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21 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
9208 Philosophers with a new concept are like children with a new toy [Fine,K]
3. Truth / A. Truth Problems / 3. Value of Truth
23291 Without truth, both language and thought are impossible [Davidson]
23284 Plato's Forms confused truth with the most eminent truths, so only Truth itself is completely true [Davidson]
23286 Truth can't be a goal, because we can neither recognise it nor confim it [Davidson]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
23292 Correspondence can't be defined, but it shows how truth depends on the world [Davidson]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
23288 When Tarski defines truth for different languages, how do we know it is a single concept? [Davidson]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
23287 Disquotation only accounts for truth if the metalanguage contains the object language [Davidson]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8698 Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
9557 Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
10263 Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
9210 Possible objects are abstract; actual concrete objects are possible; so abstract/concrete are compatible [Fine,K]
7. Existence / D. Theories of Reality / 3. Reality
9211 A non-standard realism, with no privileged standpoint, might challenge its absoluteness or coherence [Fine,K]
7. Existence / D. Theories of Reality / 8. Facts / e. Facts rejected
23285 If we try to identify facts precisely, they all melt into one (as the Slingshot Argument proves) [Davidson]
9. Objects / A. Existence of Objects / 3. Objects in Thought
9202 Objects, as well as sentences, can have logical form [Fine,K]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
9206 We must distinguish between the identity or essence of an object, and its necessary features [Fine,K]
10. Modality / A. Necessity / 3. Types of Necessity
9205 The three basic types of necessity are metaphysical, natural and normative [Fine,K]
10. Modality / A. Necessity / 5. Metaphysical Necessity
9209 Metaphysical necessity may be 'whatever the circumstance', or 'regardless of circumstances' [Fine,K]
10. Modality / A. Necessity / 11. Denial of Necessity
9200 Empiricists suspect modal notions: either it happens or it doesn't; it is just regularities. [Fine,K]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
23289 Knowing the potential truth conditions of a sentence is necessary and sufficient for understanding [Davidson]
19. Language / A. Nature of Meaning / 6. Meaning as Use
23290 It could be that the use of a sentence is explained by its truth conditions [Davidson]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
9207 If sentence content is all worlds where it is true, all necessary truths have the same content! [Fine,K]