Combining Texts

All the ideas for 'German Philosophy: a very short introduction', 'On the Foundations of Logic and Arithmetic' and 'Letters to Thomasius'

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8 ideas

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logic already contains some arithmetic, so the two must be developed together [Hilbert]
9. Objects / D. Essence of Objects / 1. Essences of Objects
The essence of a circle is the equality of its radii [Leibniz]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Transcendental idealism aims to explain objectivity through subjectivity [Bowie]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
The Idealists saw the same unexplained spontaneity in Kant's judgements and choices [Bowie]
German Idealism tried to stop oppositions of appearances/things and receptivity/spontaneity [Bowie]
Crucial to Idealism is the idea of continuity between receptivity and spontaneous judgement [Bowie]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
Bodies are recreated in motion, and don't exist in intervening instants [Leibniz]