Combining Texts

All the ideas for 'The Nature of Things', 'Russell's Mathematical Logic' and 'Existentialism and Humanism'

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31 ideas

2. Reason / D. Definition / 8. Impredicative Definition
10041 Impredicative Definitions refer to the totality to which the object itself belongs [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
21716 In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
9406 A class is natural when everybody can spot further members of it [Quinton]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
10035 Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10042 Reference to a totality need not refer to a conjunction of all its elements [Gödel]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
10038 A logical system needs a syntactical survey of all possible expressions [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
10046 The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
10039 Some arithmetical problems require assumptions which transcend arithmetic [Gödel]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10043 Mathematical objects are as essential as physical objects are for perception [Gödel]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
10045 Impredicative definitions are admitted into ordinary mathematics [Gödel]
7. Existence / E. Categories / 5. Category Anti-Realism
15730 Extreme nominalists say all classification is arbitrary convention [Quinton]
8. Modes of Existence / B. Properties / 5. Natural Properties
15728 The naturalness of a class depends as much on the observers as on the objects [Quinton]
9407 Properties imply natural classes which can be picked out by everybody [Quinton]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
15729 Uninstantiated properties must be defined using the instantiated ones [Quinton]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
8520 An individual is a union of a group of qualities and a position [Quinton, by Campbell,K]
16. Persons / A. Concept of a Person / 4. Persons as Agents
3847 Man is nothing else but the sum of his actions [Sartre]
16. Persons / F. Free Will / 1. Nature of Free Will
3846 Man IS freedom [Sartre]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
3843 There is no human nature [Sartre]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
20762 There are no values to justify us, and no excuses [Sartre]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
3852 If values depend on us, freedom is the foundation of all values [Sartre]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
20764 In becoming what we want to be we create what we think man ought to be [Sartre]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
3848 Cowards are responsible for their cowardice [Sartre]
23. Ethics / D. Deontological Ethics / 3. Universalisability
20763 When my personal freedom becomes involved, I must want freedom for everyone else [Sartre]
23. Ethics / F. Existentialism / 1. Existentialism
22229 Existentialists says that cowards and heroes make themselves [Sartre]
23. Ethics / F. Existentialism / 5. Existence-Essence
3842 Existence before essence (or begin with the subjective) [Sartre]
6868 'Existence precedes essence' means we have no pre-existing self, but create it through existence [Sartre, by Le Poidevin]
23. Ethics / F. Existentialism / 6. Authentic Self
3844 Existentialism says man is whatever he makes of himself [Sartre]
20754 It is dishonest to offer passions as an excuse [Sartre]
23. Ethics / F. Existentialism / 7. Existential Action
6571 When a man must choose between his mother and the Resistance, no theory can help [Sartre, by Fogelin]
3851 If I do not choose, that is still a choice [Sartre]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
3845 Without God there is no intelligibility or value [Sartre]