Combining Texts

All the ideas for 'Reply to Fourth Objections', 'Sententia on 'De Caelo'' and 'Continuity and Irrational Numbers'

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6 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly

22101

Philosophy aims to know the truth about the way things are [Aquinas]

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]

17. Mind and Body / E. Mind as Physical / 6. Conceptual Dualism

3643	The concept of mind excludes body, and vice versa [Descartes]