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All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'Perceptual experience has conceptual content' and 'Senses of Essence'

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14 ideas

2. Reason / D. Definition / 6. Definition by Essence
11178 The essence or definition of an essence involves either a class of properties or a class of propositions [Fine,K]
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 / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
11175 Logical concepts rest on certain inferences, not on facts about implications [Fine,K]
5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
11176 The property of Property Abstraction says any suitable condition must imply a property [Fine,K]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
11174 A logical truth is true in virtue of the nature of the logical concepts [Fine,K]
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 / D. Essence of Objects / 1. Essences of Objects
11177 Can the essence of an object circularly involve itself, or involve another object? [Fine,K]
9. Objects / D. Essence of Objects / 3. Individual Essences
11173 Being a man is a consequence of his essence, not constitutive of it [Fine,K]
9. Objects / D. Essence of Objects / 4. Essence as Definition
11179 If there are alternative definitions, then we have three possibilities for essence [Fine,K]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations
8875 Sense experiences must have conceptual content, since they are possible reasons for judgements [Brewer,B]