Combining Texts

All the ideas for 'works', 'Intro to I: Classical Logic' and 'Mathematical logic and theory of types'

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18 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
21970 Philosophy attains its goal if one person feels perfect accord between their system and experience [Fichte]
2. Reason / A. Nature of Reason / 7. Status of Reason
6912 For Fichte there is no God outside the ego, and 'our religion is reason' [Fichte, by Feuerbach]
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 / A. Overview of Logic / 6. Classical Logic
9463 Classical logic is bivalent, has excluded middle, and only quantifies over existent objects [Jacquette]
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]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
21973 Fichte believed in things-in-themselves [Fichte, by Moore,AW]
21914 We can deduce experience from self-consciousness, without the thing-in-itself [Fichte]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
20951 The absolute I divides into consciousness, and a world which is not-I [Fichte, by Bowie]
21964 Reason arises from freedom, so philosophy starts from the self, and not from the laws of nature [Fichte]
21968 Abandon the thing-in-itself; things only exist in relation to our thinking [Fichte]
16. Persons / F. Free Will / 4. For Free Will
21965 Spinoza could not actually believe his determinism, because living requires free will [Fichte]