Combining Texts

All the ideas for 'Two Problems of Epistemology', 'Aristotle on Substance' and 'Elements of Intuitionism'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]
9. Objects / C. Structure of Objects / 3. Matter of an Object
Aristotelian matter seriously threatens the intrinsic unity and substantiality of its object [Gill,ML]
14. Science / A. Basis of Science / 6. Falsification
Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
Prime matter has no place in Aristotle's theories, and passages claiming it are misread [Gill,ML]
Prime matter is actually nothing and potentially everything (or potentially an element) [Gill,ML]