Combining Texts

All the ideas for 'Necessity, Essence and Individuation', 'Phil of Mathematics and Natural Science' and 'The Foundations of Mathematics'

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31 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
15169 Metaphysics is clarifying how we speak and think (and possibly improving it) [Sidelle]
2. Reason / E. Argument / 7. Thought Experiments
15164 We seem to base necessities on thought experiments and imagination [Sidelle]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13430 Infinity: there is an infinity of distinguishable individuals [Ramsey]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
13428 Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
13427 Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]
5. Theory of Logic / L. Paradox / 1. Paradox
13334 Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
13426 Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
13425 Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / d. Dispositions as occurrent
15180 There doesn't seem to be anything in the actual world that can determine modal facts [Sidelle]
9. Objects / D. Essence of Objects / 2. Types of Essence
15184 Causal reference presupposes essentialism if it refers to modally extended entities [Sidelle]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
15172 Clearly, essential predications express necessary properties [Sidelle]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
15181 Being a deepest explanatory feature is an actual, not a modal property [Sidelle]
9. Objects / D. Essence of Objects / 15. Against Essentialism
15173 That the essence of water is its microstructure is a convention, not a discovery [Sidelle]
9. Objects / F. Identity among Objects / 3. Relative Identity
15185 We aren't clear about 'same stuff as this', so a principle of individuation is needed to identify it [Sidelle]
10. Modality / A. Necessity / 4. De re / De dicto modality
15175 Evaluation of de dicto modalities does not depend on the identity of its objects [Sidelle]
10. Modality / C. Sources of Modality / 3. Necessity by Convention
15032 Necessary a posteriori is conventional for necessity and nonmodal for a posteriority [Sidelle, by Sider]
15179 To know empirical necessities, we need empirical facts, plus conventions about which are necessary [Sidelle]
10. Modality / D. Knowledge of Modality / 3. A Posteriori Necessary
15171 The necessary a posteriori is statements either of identity or of essence [Sidelle]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
15167 Empiricism explores necessities and concept-limits by imagining negations of truths [Sidelle]
15177 Contradictoriness limits what is possible and what is imaginable [Sidelle]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
15176 The individuals and kinds involved in modality are also a matter of convention [Sidelle]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
15174 A thing doesn't need transworld identity prior to rigid reference - that could be a convention of the reference [Sidelle]
15183 'Dthat' operates to make a singular term into a rigid term [Sidelle]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
22328 I just confront the evidence, and let it act on me [Ramsey]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
15165 A priori knowledge is entirely of analytic truths [Sidelle]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
22325 A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey]
18. Thought / C. Content / 5. Twin Earth
15168 That water is essentially H2O in some way concerns how we use 'water' [Sidelle]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
15166 Causal reference seems to get directly at the object, thus leaving its nature open [Sidelle]
19. Language / B. Reference / 5. Speaker's Reference
15182 Because some entities overlap, reference must have analytic individuation principles [Sidelle]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
10246 The limit of science is isomorphism of theories, with essences a matter of indifference [Weyl]
15178 Can anything in science reveal the necessity of what it discovers? [Sidelle]