Combining Texts

All the ideas for 'Apprehension: reason in absence of Rules', 'Reference and Necessity' and 'What is Cantor's Continuum Problem?'

expand these ideas     |    start again     |     specify just one area for these texts

18 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
8679 We perceive the objects of set theory, just as we perceive with our senses [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
9942 Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
16405 To understand a name (unlike a description) picking the thing out is sufficient? [Stalnaker]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
18062 Set-theory paradoxes are no worse than sense deception in physics [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
10868 The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg]
13517 If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
10271 Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
9. Objects / C. Structure of Objects / 7. Substratum
16407 Possible worlds allow separating all the properties, without hitting a bare particular [Stalnaker]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
16397 If it might be true, it might be true in particular ways, and possible worlds describe such ways [Stalnaker]
16398 Possible worlds allow discussion of modality without controversial modal auxiliaries [Stalnaker]
16399 Possible worlds are ontologically neutral, but a commitment to possibilities remains [Stalnaker]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
16396 Kripke's possible worlds are methodological, not metaphysical [Stalnaker]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
16408 Rigid designation seems to presuppose that differing worlds contain the same individuals [Stalnaker]
12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense
22668 Apprehension is a complex intellect grasping the essence of a complex object [Holt,L]
19. Language / A. Nature of Meaning / 1. Meaning
16406 If you don't know what you say you can't mean it; what people say usually fits what they mean [Stalnaker]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
16404 In the use of a name, many individuals are causally involved, but they aren't all the referent [Stalnaker]
19. Language / C. Assigning Meanings / 2. Semantics
16403 'Descriptive' semantics gives a system for a language; 'foundational' semantics give underlying facts [Stalnaker]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
16401 To understand an utterance, you must understand what the world would be like if it is true [Stalnaker]