Combining Philosophers

All the ideas for Roderick Firth, Feferman / Feferman and Robert Kirk

expand these ideas     |    start again     |     specify just one area for these philosophers

28 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
10147 The Axiom of Choice is consistent with the other axioms of set theory [Feferman/Feferman]
10148 Axiom of Choice: a set exists which chooses just one element each of any set of sets [Feferman/Feferman]
10149 Platonist will accept the Axiom of Choice, but others want criteria of selection or definition [Feferman/Feferman]
10150 The Trichotomy Principle is equivalent to the Axiom of Choice [Feferman/Feferman]
10146 Cantor's theories needed the Axiom of Choice, but it has led to great controversy [Feferman/Feferman]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10158 A structure is a 'model' when the axioms are true. So which of the structures are models? [Feferman/Feferman]
10162 Tarski and Vaught established the equivalence relations between first-order structures [Feferman/Feferman]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10160 Löwenheim-Skolem says if the sentences are countable, so is the model [Feferman/Feferman]
10159 Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10161 If a sentence holds in every model of a theory, then it is logically derivable from the theory [Feferman/Feferman]
5. Theory of Logic / K. Features of Logics / 7. Decidability
10156 'Recursion theory' concerns what can be solved by computing machines [Feferman/Feferman]
10155 Both Principia Mathematica and Peano Arithmetic are undecidable [Feferman/Feferman]
7. Existence / C. Structure of Existence / 2. Reduction
4986 A weaker kind of reductionism than direct translation is the use of 'bridge laws' [Kirk,R]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
6493 We are not conscious of pure liquidity, but of the liquidity of water [Firth]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
5001 Maybe we should see intentionality and consciousness as a single problem, not two [Kirk,R]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
4993 If a bird captures a worm, we could say its behaviour is 'about' the worm [Kirk,R]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
5000 Behaviourism says intentionality is an external relation; language of thought says it's internal [Kirk,R]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
4982 Dualism implies some brain events with no physical cause, and others with no physical effect [Kirk,R]
17. Mind and Body / B. Behaviourism / 1. Behaviourism
4991 Behaviourism seems a good theory for intentional states, but bad for phenomenal ones [Kirk,R]
4994 Behaviourism offers a good alternative to simplistic unitary accounts of mental relationships [Kirk,R]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
4992 In 'holistic' behaviourism we say a mental state is a complex of many dispositions [Kirk,R]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
4990 The inverted spectrum idea is often regarded as an objection to behaviourism [Kirk,R]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
4984 All meaningful psychological statements can be translated into physics [Kirk,R]
17. Mind and Body / E. Mind as Physical / 4. Connectionism
4998 Instead of representation by sentences, it can be by a distribution of connectionist strengths [Kirk,R]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
4985 If mental states are multiply realisable, they could not be translated into physical terms [Kirk,R]
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
4997 It seems unlikely that most concepts are innate, if a theory must be understood to grasp them [Kirk,R]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
4999 For behaviourists language is just a special kind of behaviour [Kirk,R]
19. Language / B. Reference / 1. Reference theories
4995 Behaviourists doubt whether reference is a single type of relation [Kirk,R]