Combining Texts

All the ideas for 'works', 'Mathematics and Philosophy: grand and little' and 'Essays on Active Powers 4: Liberty of Agents'

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13 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Philosophy aims to reveal the grandeur of mathematics [Badiou]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematics, if a problem can be formulated, it will eventually be solved [Badiou]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Mathematics shows that thinking is not confined to the finite [Badiou]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
Mathematics inscribes being as such [Badiou]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
It is of the essence of being to appear [Badiou]
16. Persons / F. Free Will / 2. Sources of Free Will
The first motion or effect cannot be produced necessarily, so the First Cause must be a free agent [Reid]
16. Persons / F. Free Will / 3. Constraints on the will
A willed action needs reasonable understanding of what is to be done [Reid]
16. Persons / F. Free Will / 4. For Free Will
We are morally free, because we experience it, we are accountable, and we pursue projects [Reid]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
A motive is merely an idea, like advice, and not a force for action [Reid]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
All great poetry is engaged in rivalry with mathematics [Badiou]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
We all know that mere priority or constant conjunction do not have to imply causation [Reid]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
The principle of the law of nature is that matter is passive, and is acted upon [Reid]