Combining Texts

All the ideas for 'works', 'Review of Tait 'Provenance of Pure Reason'' and 'Russell'

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13418 The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
6408 Russell needed three extra axioms to reduce maths to logic: infinity, choice and reducibility [Grayling]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
13419 If functions are transfinite objects, finitists can have no conception of them [Parsons,C]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
13417 If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
6414 Two propositions might seem self-evident, but contradict one another [Grayling]
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
16713 Philosophers are the forefathers of heretics [Tertullian]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
6610 I believe because it is absurd [Tertullian]