Combining Texts

All the ideas for 'Universals and Particulars', 'The Architecture of Mathematics' and 'Understanding'

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

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5 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

10190

From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]

8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication

4442	Most thinkers now reject self-predication (whiteness is NOT white) so there is no Third Man problem [Armstrong]

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]