Combining Texts

All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'The History of Animals' and 'Review of 'Aenesidemus''

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11 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 / 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]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
22062 Mental presentation are not empirical, but concern the strivings of the self [Fichte]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
22015 The thing-in-itself is an empty dream [Fichte, by Pinkard]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
15119 Aristotelian explanation by essence may need to draw on knowledge of other essences [Aristotle, by Koslicki]
27. Natural Reality / G. Biology / 2. Life
23302 Plants have far less life than animals, but more life than other corporeal entities [Aristotle]
27. Natural Reality / G. Biology / 3. Evolution
23301 There is a gradual proceeding from the inanimate to animals, with no clear borderlines [Aristotle]