Combining Texts

All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'III.10 On Restraining your Will' and 'Putnam's Paradox'

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15 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 / J. Model Theory in Logic / 2. Isomorphisms
14212 A consistent theory just needs one model; isomorphic versions will do too, and large domains provide those [Lewis]
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]
7. Existence / D. Theories of Reality / 4. Anti-realism
14213 Anti-realists see the world as imaginary, or lacking joints, or beyond reference, or beyond truth [Lewis]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
14210 A gerrymandered mereological sum can be a mess, but still have natural joints [Lewis]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
14215 Causal theories of reference make errors in reference easy [Lewis]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
14209 Descriptive theories remain part of the theory of reference (with seven mild modifications) [Lewis]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
20482 Virtue inspires Stoics, but I want a good temperament [Montaigne]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
20480 There is not much point in only becoming good near the end of your life [Montaigne]
25. Social Practice / A. Freedoms / 3. Free speech
20481 Nothing we say can be worse than unsaying it in the face of authority [Montaigne]
25. Social Practice / E. Policies / 1. War / c. Combatants
20479 People at home care far more than soldiers risking death about the outcome of wars [Montaigne]