Combining Texts

All the ideas for 'fragments/reports', 'Events as property exemplifications' and 'What is Cantor's Continuum Problem?'

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13 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]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
10369 How fine-grained Kim's events are depends on how finely properties are individuated [Kim, by Schaffer,J]
8976 If events are ordered triples of items, such things seem to be sets, and hence abstract [Simons on Kim]
8975 Events cannot be merely ordered triples, but must specify the link between the elements [Kim, by Simons]
8974 Events are composed of an object with an attribute at a time [Kim, by Simons]
8977 Since properties like self-identity and being 2+2=4 are timeless, Kim must restrict his properties [Simons on Kim]
8980 Kim's theory results in too many events [Simons on Kim]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
22511 Some reasonings are stronger than we are [Philolaus]