Combining Texts

All the ideas for 'Understanding', 'Theory of Knowledge (2nd edn)' and 'Mathematics: Form and Function'

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

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6 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / b. Seventeenth century philosophy

2945	Most philosophers start with reality and then examine knowledge; Descartes put the study of knowledge first [Lehrer]

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis

2946	You cannot demand an analysis of a concept without knowing the purpose of the analysis [Lehrer]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

18189

ZFC could contain a contradiction, and it can never prove its own consistency [MacLane]

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]