Combining Texts

All the ideas for 'Defending the Axioms', 'God in Plato' and 'works'

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17 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / c. Classical philosophy
23889 Among the Greeks Aristotle is the only philosopher in the modern style [Weil]
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 / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
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]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
23892 The only legitimate proof of God by order derives from beauty [Weil]