Combining Philosophers

All the ideas for Engelbretsen,G/Sayward,C, Robert Audi and Harold Noonan

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44 ideas

4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
13913 The four 'perfect syllogisms' are called Barbara, Celarent, Darii and Ferio [Engelbretsen/Sayward]
13914 Syllogistic logic has one rule: what is affirmed/denied of wholes is affirmed/denied of their parts [Engelbretsen/Sayward]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
13915 Syllogistic can't handle sentences with singular terms, or relational terms, or compound sentences [Engelbretsen/Sayward]
4. Formal Logic / A. Syllogistic Logic / 3. Term Logic
13916 Term logic uses expression letters and brackets, and '-' for negative terms, and '+' for compound terms [Engelbretsen/Sayward]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
13850 In modern logic all formal validity can be characterised syntactically [Engelbretsen/Sayward]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
13849 Classical logic rests on truth and models, where constructivist logic rests on defence and refutation [Engelbretsen/Sayward]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
13851 Unlike most other signs, = cannot be eliminated [Engelbretsen/Sayward]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
13852 Axioms are ω-incomplete if the instances are all derivable, but the universal quantification isn't [Engelbretsen/Sayward]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
16014 It is controversial whether only 'numerical identity' allows two things to be counted as one [Noonan]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
16024 I could have died at five, but the summation of my adult stages could not [Noonan]
9. Objects / E. Objects over Time / 5. Temporal Parts
16023 Stage theorists accept four-dimensionalism, but call each stage a whole object [Noonan]
9. Objects / F. Identity among Objects / 2. Defining Identity
16016 Identity definitions (such as self-identity, or the smallest equivalence relation) are usually circular [Noonan]
16017 Identity is usually defined as the equivalence relation satisfying Leibniz's Law [Noonan]
16015 Problems about identity can't even be formulated without the concept of identity [Noonan]
16020 Identity can only be characterised in a second-order language [Noonan]
9. Objects / F. Identity among Objects / 8. Leibniz's Law
16019 Leibniz's Law must be kept separate from the substitutivity principle [Noonan]
16018 Indiscernibility is basic to our understanding of identity and distinctness [Noonan]
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
2722 Sense-data theory is indirect realism, but phenomenalism is direct irrealism [Audi,R]
2721 If you gradually remove a book's sensory properties, what is left at the end? [Audi,R]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
2727 Red and green being exclusive colours seems to be rationally graspable but not analytic [Audi,R]
2728 The concepts needed for a priori thought may come from experience [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
2729 Virtually all rationalists assert that we can have knowledge of synthetic a priori truths [Audi,R]
2741 The principles of justification have to be a priori [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]
16. Persons / C. Self-Awareness / 4. Errors in Introspection
2726 We can be ignorant about ourselves, for example, our desires and motives [Audi,R]
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]