Combining Texts

All the ideas for 'Two Problems of Epistemology', 'Concepts without Boundaries' and 'works'

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8 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

15941

For intuitionists excluded middle is an outdated historical convention [Brouwer]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy

18247

Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]

7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality

8983	If 'red' is vague, then membership of the set of red things is vague, so there is no set of red things [Sainsbury]

7. Existence / E. Categories / 2. Categorisation

8986	We should abandon classifying by pigeon-holes, and classify around paradigms [Sainsbury]

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects

8982	Vague concepts are concepts without boundaries [Sainsbury]

8984	If concepts are vague, people avoid boundaries, can't spot them, and don't want them [Sainsbury]

8985	Boundaryless concepts tend to come in pairs, such as child/adult, hot/cold [Sainsbury]

14. Science / A. Basis of Science / 6. Falsification

18284

Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]