Combining Texts

All the ideas for 'Fragments', 'What is Cantor's Continuum Problem?' and 'Process and Reality'

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12 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / c. Classical philosophy
7719 European philosophy consists of a series of footnotes to Plato [Whitehead]
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 / G. Quantification / 2. Domain of Quantification
10656 With 'extensive connection', boundary elements are not included in domains [Whitehead, by Varzi]
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 / B. Change in Existence / 2. Processes
15389 In Whitehead 'processes' consist of events beginning and ending [Whitehead, by Simons]
23. Ethics / A. Egoism / 2. Hedonism
5954 All inventions of the mind aim at pleasure, and those that don't are worthless [Metrodorus of Lamp., by Plutarch]
26. Natural Theory / C. Causation / 1. Causation
15247 Whitehead held that perception was a necessary feature of all causation [Whitehead, by Harré/Madden]
27. Natural Reality / C. Space / 3. Points in Space
16962 Whitehead replaced points with extended regions [Whitehead, by Quine]