Combining Texts

All the ideas for 'fragments/reports', 'Mathematical logic and theory of types' and 'Logological Fragments I'

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20 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
19579 The history of philosophy is just experiments in how to do philosophy [Novalis]
1. Philosophy / D. Nature of Philosophy / 1. Philosophy
19583 Philosophy only begins when it studies itself [Novalis]
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 / 2. Aporiai
19581 A problem is a solid mass, which the mind must break up [Novalis]
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 / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
19584 Whoever first counted to two must have seen the possibility of infinite counting [Novalis]
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 / h. Dasein (being human)
22025 Novalis thought self-consciousness cannot disclose 'being', because we are temporal creatures [Novalis, by Pinkard]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
22067 Poetry is true idealism, and the self-consciousness of the universe [Novalis]
19. Language / F. Communication / 4. Private Language
19585 Every person has his own language [Novalis]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
19582 Morality and philosophy are mutually dependent [Novalis]
23. Ethics / F. Existentialism / 7. Existential Action
22027 Life isn't given to us like a novel - we write the novel [Novalis]
25. Social Practice / E. Policies / 5. Education / c. Teaching
19580 If the pupil really yearns for the truth, they only need a hint [Novalis]