Combining Texts

All the ideas for 'The Concept of Dread (/Anxiety)', 'Constructibility and Mathematical Existence' and 'works'

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12 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
3340 Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
3355 Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA]
8758 We could talk of open sentences, instead of sets [Chihara, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
22716 Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
10265 Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
8759 We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
10264 Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
22098 Socrates neglects the gap between knowing what is good and doing good [Kierkegaard, by Carlisle]
23. Ethics / F. Existentialism / 3. Angst
22096 Anxiety is not a passing mood, but a response to human freedom [Kierkegaard, by Carlisle]
22097 The ultimate in life is learning to be anxious in the right way [Kierkegaard]
21909 Ultimate knowledge is being anxious in the right way [Kierkegaard]
20758 Anxiety is staring into the yawning abyss of freedom [Kierkegaard]