Combining Philosophers

All the ideas for Anaxarchus, Alex Orenstein and Robert Audi

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42 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
8472 Sentential logic is consistent (no contradictions) and complete (entirely provable) [Orenstein]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
8476 Axiomatization simply picks from among the true sentences a few to play a special role [Orenstein]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
8480 S4: 'poss that poss that p' implies 'poss that p'; S5: 'poss that nec that p' implies 'nec that p' [Orenstein]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
8474 Unlike elementary logic, set theory is not complete [Orenstein]
4. Formal Logic / G. Formal Mereology / 1. Mereology
8465 Mereology has been exploited by some nominalists to achieve the effects of set theory [Orenstein]
5. Theory of Logic / G. Quantification / 1. Quantification
8452 Traditionally, universal sentences had existential import, but were later treated as conditional claims [Orenstein]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
8475 The substitution view of quantification says a sentence is true when there is a substitution instance [Orenstein]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
8454 The whole numbers are 'natural'; 'rational' numbers include fractions; the 'reals' include root-2 etc. [Orenstein]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
8473 The logicists held that is-a-member-of is a logical constant, making set theory part of logic [Orenstein]
7. Existence / E. Categories / 3. Proposed Categories
8458 Just individuals in Nominalism; add sets for Extensionalism; add properties, concepts etc for Intensionalism [Orenstein]
10. Modality / A. Necessity / 7. Natural Necessity
2730 Because 'gold is malleable' is necessary does not mean that it is analytic [Audi,R]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
2715 Beliefs are based on perception, memory, introspection or reason [Audi,R]
11. Knowledge Aims / A. Knowledge / 4. Belief / e. Belief holism
2735 Could you have a single belief on its own? [Audi,R]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
2736 We can make certain of what we know, so knowing does not entail certainty [Audi,R]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
2721 If you gradually remove a book's sensory properties, what is left at the end? [Audi,R]
2722 Sense-data theory is indirect realism, but phenomenalism is direct irrealism [Audi,R]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
2728 The concepts needed for a priori thought may come from experience [Audi,R]
2727 Red and green being exclusive colours seems to be rationally graspable but not analytic [Audi,R]
12. Knowledge Sources / B. Perception / 3. Representation
2716 To see something as a field, I obviously need the concept of a field [Audi,R]
2717 How could I see a field and believe nothing regarding it? [Audi,R]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
2719 Sense data imply representative realism, possibly only representing primary qualities [Audi,R]
2720 Sense-data (and the rival 'adverbial' theory) are to explain illusions and hallucinations [Audi,R]
12. Knowledge Sources / B. Perception / 5. Interpretation
2718 Perception is first simple, then objectual (with concepts) and then propositional [Audi,R]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
2741 The principles of justification have to be a priori [Audi,R]
2729 Virtually all rationalists assert that we can have knowledge of synthetic a priori truths [Audi,R]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
2725 To remember something is to know it [Audi,R]
2724 I might remember someone I can't recall or image, by recognising them on meeting [Audi,R]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
2731 Justification is either unanchored (infinite or circular), or anchored (in knowledge or non-knowledge) [Audi,R]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
2739 Internalism about justification implies that there is a right to believe something [Audi,R]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
2732 Maths may be consistent with observations, but not coherent [Audi,R]
2733 It is very hard to show how much coherence is needed for justification [Audi,R]
2734 A consistent madman could have a very coherent belief system [Audi,R]
13. Knowledge Criteria / C. External Justification / 1. External Justification
2738 Consistent accurate prediction looks like knowledge without justified belief [Audi,R]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
2740 A reliability theory of knowledge seems to involve truth as correspondence [Audi,R]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
2737 'Reliable' is a very imprecise term, and may even mean 'justified' [Audi,R]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
3061 Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
14. Science / B. Scientific Theories / 1. Scientific Theory
8457 The Principle of Conservatism says we should violate the minimum number of background beliefs [Orenstein]
16. Persons / C. Self-Awareness / 4. Errors in Introspection
2726 We can be ignorant about ourselves, for example, our desires and motives [Audi,R]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
8477 People presume meanings exist because they confuse meaning and reference [Orenstein]
19. Language / C. Assigning Meanings / 3. Predicates
8471 Three ways for 'Socrates is human' to be true are nominalist, platonist, or Montague's way [Orenstein]
19. Language / D. Propositions / 4. Mental Propositions
8484 If two people believe the same proposition, this implies the existence of propositions [Orenstein]
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
20064 Actions are not mere effects of reasons, but are under their control [Audi,R]