Combining Texts

All the ideas for '', 'Grundlagen (Foundations of Theory of Manifolds)' and 'works'

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14 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
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
For Fichte there is no God outside the ego, and 'our religion is reason' [Fichte, by Feuerbach]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Fichte believed in things-in-themselves [Fichte, by Moore,AW]
We can deduce experience from self-consciousness, without the thing-in-itself [Fichte]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
The absolute I divides into consciousness, and a world which is not-I [Fichte, by Bowie]
Reason arises from freedom, so philosophy starts from the self, and not from the laws of nature [Fichte]
Abandon the thing-in-itself; things only exist in relation to our thinking [Fichte]
16. Persons / F. Free Will / 4. For Free Will
Spinoza could not actually believe his determinism, because living requires free will [Fichte]
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]