Combining Texts

All the ideas for 'fragments/reports', 'What Numbers Are' and 'Understanding'

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

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6 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17813

Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17812

Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]

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

19691

Unlike knowledge, you can achieve understanding through luck [Grimm]

19690

'Grasping' a structure seems to be modal, because we must anticipate its behaviour [Grimm]

19692

You may have 'weak' understanding, if by luck you can answer a set of 'why questions' [Grimm]

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

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