Combining Texts

All the ideas for 'Why coherence is not enough', 'Philosophy and the Nature of Language' and 'A Structural Account of Mathematics'

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


32 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
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]
Realists about sets say there exists a null set in the real world, with no members [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
A pack of wolves doesn't cease when one member dies [Chihara]
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 / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
If 'Queen of England' does not refer if there is no queen, its meaning can't refer if there is one [Cooper,DE]
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]
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]
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]
7. Existence / E. Categories / 5. Category Anti-Realism
If some peoples do not have categories like time or cause, they can't be essential features of rationality [Cooper,DE]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
There are five possible responses to the problem of infinite regress in justification [Cleve]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
Modern foundationalists say basic beliefs are fallible, and coherence is relevant [Cleve]
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
If it is claimed that language correlates with culture, we must be able to identify the two independently [Cooper,DE]
A person's language doesn't prove their concepts, but how are concepts deduced apart from language? [Cooper,DE]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Many sentences set up dispositions which are irrelevant to the meanings of the sentences [Cooper,DE]
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 / 5. Meaning as Verification
I can meaningfully speculate that humans may have experiences currently impossible for us [Cooper,DE]
The verification principle itself seems neither analytic nor verifiable [Cooper,DE]
19. Language / A. Nature of Meaning / 6. Meaning as Use
Most people know how to use the word "Amen", but they do not know what it means [Cooper,DE]
'How now brown cow?' is used for elocution, but this says nothing about its meaning [Cooper,DE]
19. Language / B. Reference / 1. Reference theories
Any thesis about reference is also a thesis about what exists to be referred to [Cooper,DE]
Reference need not be a hit-or-miss affair [Cooper,DE]
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 / 3. Predicates
If predicates name things, that reduces every sentence to a mere list of names [Cooper,DE]
19. Language / E. Analyticity / 2. Analytic Truths
An analytic truth is one which becomes a logical truth when some synonyms have been replaced [Cooper,DE]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
'Gunk' is an individual possessing no parts that are atoms [Chihara]