Combining Texts

All the ideas for 'Conditionals', 'A Structural Account of Mathematics' and 'Subjective View: sec qualities and indexicals'

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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
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 / 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 / 2. Realism
To explain object qualities, primary qualities must be more than mere sources of experience [McGinn]
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]
10. Modality / B. Possibility / 8. Conditionals / a. Conditionals
Validity can preserve certainty in mathematics, but conditionals about contingents are another matter [Edgington]
10. Modality / B. Possibility / 8. Conditionals / b. Types of conditional
There are many different conditional mental states, and different conditional speech acts [Edgington]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
Are conditionals truth-functional - do the truth values of A and B determine the truth value of 'If A, B'? [Edgington]
'If A,B' must entail ¬(A & ¬B); otherwise we could have A true, B false, and If A,B true, invalidating modus ponens [Edgington]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Being red simply consists in looking red [McGinn]
Relativity means differing secondary perceptions are not real disagreements [McGinn]
Phenomenalism is correct for secondary qualities, so scepticism is there impossible [McGinn]
Maybe all possible sense experience must involve both secondary and primary qualities [McGinn]
You understood being red if you know the experience involved; not so with thngs being square [McGinn]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
You don't need to know how a square thing looks or feels to understand squareness [McGinn]
Touch doesn't provide direct experience of primary qualities, because touch feels temperature [McGinn]
We can perceive objectively, because primary qualities are not mind-created [McGinn]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Lockean secondary qualities (unlike primaries) produce particular sensory experiences [McGinn]
Could there be a mind which lacked secondary quality perception? [McGinn]
Secondary qualities contain information; their variety would be superfluous otherwise [McGinn]
The utility theory says secondary qualities give information useful to human beings [McGinn]
12. Knowledge Sources / B. Perception / 3. Representation
We see objects 'directly' by representing them [McGinn]
18. Thought / A. Modes of Thought / 9. Indexical Thought
The indexical perspective is subjective, incorrigible and constant [McGinn]
Indexical thought is in relation to my self-consciousness [McGinn]
Indexicals do not figure in theories of physics, because they are not explanatory causes [McGinn]
Indexical concepts are indispensable, as we need them for the power to act [McGinn]
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 / 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 / 9. Indexical Semantics
I can know indexical truths a priori, unlike their non-indexical paraphrases [McGinn]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
'Gunk' is an individual possessing no parts that are atoms [Chihara]