Combining Texts

All the ideas for 'fragments/reports', 'Elusive Knowledge' and 'On boundary numbers and domains of sets'

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

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9 ideas

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

17832

Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII

13028

Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]

5. Theory of Logic / L. Paradox / 3. Antinomies

17626

The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]

11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs

12899

The timid student has knowledge without belief, lacking confidence in their correct answer [Lewis]

11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism

12897

To say S knows P, but cannot eliminate not-P, sounds like a contradiction [Lewis]

13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification

12898

Justification is neither sufficient nor necessary for knowledge [Lewis]

13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism

12895

Knowing is context-sensitive because the domain of quantification varies [Lewis, by Cohen,S]

19562

We have knowledge if alternatives are eliminated, but appropriate alternatives depend on context [Lewis, by Cohen,S]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]