Combining Texts

All the ideas for 'fragments/reports', 'Elements of Intuitionism' and 'No Understanding without Explanation'

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

---

6 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite

15938

Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism

15939

For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]

11. Knowledge Aims / A. Knowledge / 2. Understanding

14369

Understanding is a precondition, comes in degrees, is active, and holistic - unlike explanation [Strevens]

14365

Scientific understanding is always the grasping of a correct explanation [Strevens]

14368

We may 'understand that' the cat is on the mat, but not at all 'understand why' it is there [Strevens]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]