Combining Texts

All the ideas for 'Hippias Major', 'Commentary on the Metaphysics' and 'What is Cantor's Continuum Problem?'

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13 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
11193 Understanding begins with the notion of being and essence [Avicenna]
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 / 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 / A. Existence of Objects / 5. Simples
11209 The simple's whatness is its very self [Avicenna]
9. Objects / C. Structure of Objects / 3. Matter of an Object
11204 The ultimate material of things has the unity of total formlessness [Avicenna]
9. Objects / D. Essence of Objects / 2. Types of Essence
15036 An essence can either be universal (in the mind) or singular (in concrete particulars) [Avicenna, by Panaccio]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
299 What is fine is always difficult [Plato]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
297 What is fine is the parent of goodness [Plato]
25. Social Practice / F. Life Issues / 5. Sexual Morality
298 While sex is very pleasant, it should be in secret, as it looks contemptible [Plato]