Combining Philosophers

All the ideas for Oliver,A/Smiley,T, Miranda Fricker and Alexander R. Pruss

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19 ideas

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]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
12468 A state of affairs is only possible if there has been an actual substance to initiate it [Pruss]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
23551 It is necessary for a belief that it be held for a length of time [Fricker,M]
13. Knowledge Criteria / B. Internal Justification / 1. Epistemic virtues
23558 Offering knowledge needs accuracy and sincerity; receiving it needs testimonial justice [Fricker,M]
13. Knowledge Criteria / C. External Justification / 7. Testimony
23550 Burge says we are normally a priori entitled to believe testimony [Fricker,M]
23552 We assess testimonial probabilities by the speaker, the listener, the facts, and the circumstances [Fricker,M]
23553 Testimonial judgement is not logical, but produces reasons and motivations [Fricker,M]
23555 Assessing credibility involves the impact of both the speaker's and the listener's social identity [Fricker,M]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
23554 Judgements can be unreflective and non-inferential, yet rational, by being sensitive to experience [Fricker,M]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
23557 To judge agents in remote times and cultures we need a moral resentment weaker than blame [Fricker,M]