Combining Texts

All the ideas for 'German Philosophy: a very short introduction', 'Les quaestiones de anima (lectures on the soul)' and 'Continuity and Irrational Numbers'

expand these ideas     |    start again     |     specify just one area for these texts

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9 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

17611

We want the essence of continuity, by showing its origin in arithmetic [Dedekind]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts

10572

A cut between rational numbers creates and defines an irrational number [Dedekind]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic

17612

Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18087

If x changes by less and less, it must approach a limit [Dedekind]

11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism

22049

Transcendental idealism aims to explain objectivity through subjectivity [Bowie]

11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism

22055

The Idealists saw the same unexplained spontaneity in Kant's judgements and choices [Bowie]

22054

German Idealism tried to stop oppositions of appearances/things and receptivity/spontaneity [Bowie]

22056

Crucial to Idealism is the idea of continuity between receptivity and spontaneous judgement [Bowie]

17. Mind and Body / E. Mind as Physical / 1. Physical Mind

16618

Intellectual and moral states, and even the soul itself, depend on prime matter for their existence [Blasius, by Pasnau]