Combining Philosophers

All the ideas for Melvin Fitting, Vann McGee and Jonathan Kvanvig

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25 ideas

4. Formal Logic / E. Nonclassical Logics / 8. Intensional Logic
If terms change their designations in different states, they are functions from states to objects [Fitting]
Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting]
4. Formal Logic / E. Nonclassical Logics / 9. Awareness Logic
Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting]
4. Formal Logic / E. Nonclassical Logics / 10. Justification Logics
Justication logics make explicit the reasons for mathematical truth in proofs [Fitting]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Classical logic is deliberately extensional, in order to model mathematics [Fitting]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Validity is explained as truth in all models, because that relies on the logical terms [McGee]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Natural language includes connectives like 'because' which are not truth-functional [McGee]
5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
λ-abstraction disambiguates the scope of modal operators [Fitting]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Second-order variables need to range over more than collections of first-order objects [McGee]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
An ontologically secure semantics for predicate calculus relies on sets [McGee]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logically valid sentences are analytic truths which are just true because of their logical words [McGee]
5. Theory of Logic / K. Features of Logics / 3. Soundness
Soundness theorems are uninformative, because they rely on soundness in their proofs [McGee]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
Definite descriptions pick out different objects in different possible worlds [Fitting]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Epistemology does not just concern knowledge; all aspects of cognitive activity are involved [Kvanvig]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Understanding is seeing coherent relationships in the relevant information [Kvanvig]
11. Knowledge Aims / A. Knowledge / 5. Aiming at Truth
Making sense of things, or finding a good theory, are non-truth-related cognitive successes [Kvanvig]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
The 'defeasibility' approach says true justified belief is knowledge if no undermining facts could be known [Kvanvig]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
'Access' internalism says responsibility needs access; weaker 'mentalism' needs mental justification [Kvanvig]
13. Knowledge Criteria / B. Internal Justification / 1. Epistemic virtues
Epistemic virtues: love of knowledge, courage, caution, autonomy, practical wisdom... [Kvanvig]
If epistemic virtues are faculties or powers, that doesn't explain propositional knowledge [Kvanvig]
The value of good means of attaining truth are swamped by the value of the truth itself [Kvanvig]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
Strong foundationalism needs strict inferences; weak version has induction, explanation, probability [Kvanvig]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
Reliabilism cannot assess the justification for propositions we don't believe [Kvanvig]
19. Language / F. Communication / 2. Assertion
A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee]