Combining Philosophers

All the ideas for Douglas Lackey, Charles Chihara and Ned Block

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40 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
Realists about sets say there exists a null set in the real world, with no members [Chihara]
We only know relational facts about the empty set, but nothing intrinsic [Chihara]
In simple type theory there is a hierarchy of null sets [Chihara]
The null set is a structural position which has no other position in membership relation [Chihara]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What is special about Bill Clinton's unit set, in comparison with all the others? [Chihara]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
The set theorist cannot tell us what 'membership' is [Chihara]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
ZFU refers to the physical world, when it talks of 'urelements' [Chihara]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Could we replace sets by the open sentences that define them? [Chihara, by Bostock]
A pack of wolves doesn't cease when one member dies [Chihara]
We could talk of open sentences, instead of sets [Chihara, by Shapiro]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
The mathematics of relations is entirely covered by ordered pairs [Chihara]
5. Theory of Logic / K. Features of Logics / 2. Consistency
Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
Sets always exceed terms, so all the sets must exceed all the sets [Lackey]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
If a successful theory confirms mathematics, presumably a failed theory disconfirms it? [Chihara]
No scientific explanation would collapse if mathematical objects were shown not to exist [Chihara]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
Lobotomised patients can cease to care about a pain [Block]
15. Nature of Minds / B. Features of Minds / 5. Qualia / b. Qualia and intentionality
The Inverted Earth example shows that phenomenal properties are not representational [Block, by Rowlands]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
A brain looks no more likely than anything else to cause qualia [Block]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Behaviour requires knowledge as well as dispositions [Block]
17. Mind and Body / C. Functionalism / 1. Functionalism
In functionalism, desires are internal states with causal relations [Block]
Functionalism is behaviourism, but with mental states as intermediaries [Block]
You might invert colours, but you can't invert beliefs [Block]
17. Mind and Body / C. Functionalism / 8. Functionalism critique
Could a creature without a brain be in the right functional state for pain? [Block]
Not just any old functional network will have mental states [Block]
In functionalism, what are the special inputs and outputs of conscious creatures? [Block]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Physicalism is prejudiced in favour of our neurology, when other systems might have minds [Block]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / b. Turing Machines
Simple machine-functionalism says mind just is a Turing machine [Block]
A Turing machine, given a state and input, specifies an output and the next state [Block]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / c. Turing Test
A fast machine could pass all behavioural tests with a vast lookup table [Block, by Rey]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
I prefer the open sentences of a Constructibility Theory, to Platonist ideas of 'equivalence classes' [Chihara]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
The meaning of a representation is its role in thought, perception or decisions [Block]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Mathematical entities are causally inert, so the causal theory of reference won't work for them [Chihara]
19. Language / C. Assigning Meanings / 1. Syntax
Intuition may say that a complex sentence is ungrammatical, but linguistics can show that it is not [Block]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
'Gunk' is an individual possessing no parts that are atoms [Chihara]