Combining Texts

All the ideas for 'fragments/reports', 'Coherence Theory of Truth and Knowledge' and 'What are Sets and What are they For?'

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21 ideas

3. Truth / D. Coherence Truth / 1. Coherence Truth
19081 Coherence with a set of propositions suggests we can know the proposition corresponds [Davidson, by Donnellan]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
14239 The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley]
14240 The empty set is something, not nothing! [Oliver/Smiley]
14241 We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley]
14242 Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
14243 The unit set may be needed to express intersections that leave a single member [Oliver/Smiley]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
14234 If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
14237 We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
14245 Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
14246 If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
14247 Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
8806 The concepts of belief and truth are linked, since beliefs are meant to fit reality [Davidson]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
8252 Davidson believes experience is non-conceptual, and outside the space of reasons [Davidson, by McDowell]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
8255 Davidson says the world influences us causally; I say it influences us rationally [McDowell on Davidson]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
8804 Reasons for beliefs are not the same as evidence [Davidson]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
8802 Sensations lack the content to be logical; they cause beliefs, but they cannot justify them [Davidson]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
8801 Coherent justification says only beliefs can be reasons for holding other beliefs [Davidson]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
8805 Skepticism is false because our utterances agree, because they are caused by the same objects [Davidson]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
18703 Davidson's Cogito: 'I think, therefore I am generally right' [Davidson, by Button]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]