Combining Texts

All the ideas for 'Replies on 'Limits of Abstraction'', 'Essence and Being' and 'Leibniz'

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21 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
10571 Concern for rigour can get in the way of understanding phenomena [Fine,K]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10565 There is no stage at which we can take all the sets to have been generated [Fine,K]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
10564 We might combine the axioms of set theory with the axioms of mereology [Fine,K]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
10569 If you ask what F the second-order quantifier quantifies over, you treat it as first-order [Fine,K]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
10570 Assigning an entity to each predicate in semantics is largely a technical convenience [Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
10573 Dedekind cuts lead to the bizarre idea that there are many different number 1's [Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
10575 Why should a Dedekind cut correspond to a number? [Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
10574 Unless we know whether 0 is identical with the null set, we create confusions [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
10560 Set-theoretic imperialists think sets can represent every mathematical object [Fine,K]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
10568 Logicists say mathematics can be derived from definitions, and can be known that way [Fine,K]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
10563 A generative conception of abstracts proposes stages, based on concepts of previous objects [Fine,K]
9. Objects / D. Essence of Objects / 1. Essences of Objects
14221 Serious essentialism says everything has essences, they're not things, and they ground necessities [Shalkowski]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
14222 Essences are what it is to be that (kind of) thing - in fact, they are the thing's identity [Shalkowski]
9. Objects / D. Essence of Objects / 13. Nominal Essence
14226 We distinguish objects by their attributes, not by their essences [Shalkowski]
9. Objects / D. Essence of Objects / 15. Against Essentialism
14225 Critics say that essences are too mysterious to be known [Shalkowski]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
7566 The Identity of Indiscernibles is really the same as the verification principle [Jolley]
10. Modality / A. Necessity / 4. De re / De dicto modality
14223 De dicto necessity has linguistic entities as their source, so it is a type of de re necessity [Shalkowski]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
10561 Abstraction-theoretic imperialists think Fregean abstracts can represent every mathematical object [Fine,K]
10562 We can combine ZF sets with abstracts as urelements [Fine,K]
10567 We can create objects from conditions, rather than from concepts [Fine,K]
19. Language / C. Assigning Meanings / 7. Extensional Semantics
14224 Equilateral and equiangular aren't the same, as we have to prove their connection [Shalkowski]