Combining Texts

All the ideas for 'Elements of Mathematical Logic', 'Evidentialism' and 'Logicism, Some Considerations (PhD)'

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9 ideas

4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
8942 Lukasiewicz's L3 logic has three truth-values, T, F and I (for 'indeterminate') [Lukasiewicz, by Fisher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
13412 Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]
13413 We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13411 If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
13415 An adequate account of a number must relate it to its series [Benacerraf]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
19722 We could know the evidence for our belief without knowing why it is such evidence [Mittag]
19723 Evidentialism can't explain that we accept knowledge claims if the evidence is forgotten [Mittag]
19720 Evidentialism concerns the evidence for the proposition, not for someone to believe it [Mittag]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
19721 Coherence theories struggle with the role of experience [Mittag]