Combining Texts

All the ideas for 'Intensional Logic', 'Epistemology: contemporary introduction' and 'Modality'

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50 ideas

2. Reason / A. Nature of Reason / 1. On Reason
5750 Consistency is modal, saying propositions are consistent if they could be true together [Melia]
4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC
5737 Predicate logic has connectives, quantifiers, variables, predicates, equality, names and brackets [Melia]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
5744 First-order predicate calculus is extensional logic, but quantified modal logic is intensional (hence dubious) [Melia]
4. Formal Logic / E. Nonclassical Logics / 8. Intensional Logic
15375 If terms change their designations in different states, they are functions from states to objects [Fitting]
15376 Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting]
4. Formal Logic / E. Nonclassical Logics / 9. Awareness Logic
15378 Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting]
4. Formal Logic / E. Nonclassical Logics / 10. Justification Logics
15379 Justication logics make explicit the reasons for mathematical truth in proofs [Fitting]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
11026 Classical logic is deliberately extensional, in order to model mathematics [Fitting]
5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
11028 λ-abstraction disambiguates the scope of modal operators [Fitting]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
5740 Second-order logic needs second-order variables and quantification into predicate position [Melia]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
5741 If every model that makes premises true also makes conclusion true, the argument is valid [Melia]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
5736 No sort of plain language or levels of logic can express modal facts properly [Melia]
5735 Maybe names and predicates can capture any fact [Melia]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
5746 The Identity of Indiscernibles is contentious for qualities, and trivial for non-qualities [Melia]
10. Modality / A. Necessity / 2. Nature of Necessity
5738 We may be sure that P is necessary, but is it necessarily necessary? [Melia]
10. Modality / A. Necessity / 4. De re / De dicto modality
5732 'De re' modality is about things themselves, 'de dicto' modality is about propositions [Melia]
10. Modality / A. Necessity / 7. Natural Necessity
2730 Because 'gold is malleable' is necessary does not mean that it is analytic [Audi,R]
10. Modality / B. Possibility / 1. Possibility
5739 Sometimes we want to specify in what ways a thing is possible [Melia]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
5734 Possible worlds make it possible to define necessity and counterfactuals without new primitives [Melia]
5742 In possible worlds semantics the modal operators are treated as quantifiers [Melia]
5743 If possible worlds semantics is not realist about possible worlds, logic becomes merely formal [Melia]
5749 Possible worlds could be real as mathematics, propositions, properties, or like books [Melia]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions
5751 The truth of propositions at possible worlds are implied by the world, just as in books [Melia]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
15377 Definite descriptions pick out different objects in different possible worlds [Fitting]
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]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
5748 We accept unverifiable propositions because of simplicity, utility, explanation and plausibility [Melia]