Combining Texts

All the ideas for 'fragments/reports', 'Brainchildren' and 'Mathematical logic and theory of types'

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20 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
11064 Classes can be reduced to propositional functions [Russell, by Hanna]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
6407 The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
10418 Type theory seems an extreme reaction, since self-exemplification is often innocuous [Swoyer on Russell]
10047 Russell's improvements blocked mathematics as well as paradoxes, and needed further axioms [Russell, by Musgrave]
23478 Type theory means that features shared by different levels cannot be expressed [Morris,M on Russell]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
21718 Ramified types can be defended as a system of intensional logic, with a 'no class' view of sets [Russell, by Linsky,B]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
18126 A set does not exist unless at least one of its specifications is predicative [Russell, by Bostock]
18128 Russell is a conceptualist here, saying some abstracta only exist because definitions create them [Russell, by Bostock]
18124 Vicious Circle says if it is expressed using the whole collection, it can't be in the collection [Russell, by Bostock]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
18933 Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
2526 Philosophers regularly confuse failures of imagination with insights into necessity [Dennett]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
2523 That every mammal has a mother is a secure reality, but without foundations [Dennett]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
2528 Does consciousness need the concept of consciousness? [Dennett]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
2525 Maybe language is crucial to consciousness [Dennett]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
2527 Unconscious intentionality is the foundation of the mind [Dennett]
17. Mind and Body / C. Functionalism / 1. Functionalism
2530 Could a robot be made conscious just by software? [Dennett]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
2524 A language of thought doesn't explain content [Dennett]
18. Thought / D. Concepts / 5. Concepts and Language / c. Concepts without language
2529 Maybe there can be non-conscious concepts (e.g. in bees) [Dennett]
19. Language / F. Communication / 1. Rhetoric
9866 Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]
5864 Destroy seriousness with laughter, and laughter with seriousness [Gorgias]