Combining Texts

All the ideas for 'Two Problems of Epistemology', 'Hilbert's Programme' and 'Of Organum or Ars Magna of Thinking'

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7 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis

5021	An idea is analysed perfectly when it is shown a priori that it is possible [Leibniz]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

17809

Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

17810

The study of mathematical foundations needs new non-mathematical concepts [Kreisel]

13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations

5020	Our thoughts are either dependent, or self-evident. All thoughts seem to end in the self-evident [Leibniz]

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

18284

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

22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness

5019	Supreme human happiness is the greatest possible increase of his perfection [Leibniz]

27. Natural Reality / C. Space / 3. Points in Space

17811

The natural conception of points ducks the problem of naming or constructing each point [Kreisel]