Combining Texts

All the ideas for 'Necessary Existents', 'A Structural Account of Mathematics' and 'Perception'

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44 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 / 6. Physicalism
For physicalists, the only relations are spatial, temporal and causal [Robinson,H]
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]
8. Modes of Existence / B. Properties / 6. Categorical Properties
If reality just has relational properties, what are its substantial ontological features? [Robinson,H]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / a. Naïve realism
When a red object is viewed, the air in between does not become red [Robinson,H]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / c. Representative realism
Representative realists believe that laws of phenomena will apply to the physical world [Robinson,H]
Representative realists believe some properties of sense-data are shared by the objects themselves [Robinson,H]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Phenomenalism can be theistic (Berkeley), or sceptical (Hume), or analytic (20th century) [Robinson,H]
12. Knowledge Sources / B. Perception / 1. Perception
Can we reduce perception to acquisition of information, which is reduced to causation or disposition? [Robinson,H]
Would someone who recovered their sight recognise felt shapes just by looking? [Robinson,H]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Secondary qualities have one sensory mode, but primary qualities can have more [Robinson,H]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
We say objects possess no intrinsic secondary qualities because physicists don't need them [Robinson,H]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
If objects are not coloured, and neither are sense-contents, we are left saying that nothing is coloured [Robinson,H]
Shape can be experienced in different ways, but colour and sound only one way [Robinson,H]
If secondary qualities match senses, would new senses create new qualities? [Robinson,H]
12. Knowledge Sources / B. Perception / 3. Representation
Most moderate empiricists adopt Locke's representative theory of perception [Robinson,H]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
Sense-data leads to either representative realism or phenomenalism or idealism [Robinson,H]
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
Sense-data do not have any intrinsic intentionality [Robinson,H]
For idealists and phenomenalists sense-data are in objects; representative realists say they resemble objects [Robinson,H]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
Sense-data are rejected because they are a veil between us and reality, leading to scepticism [Robinson,H]
12. Knowledge Sources / B. Perception / 8. Adverbial Theory
'Sense redly' sounds peculiar, but 'senses redly-squarely tablely' sounds far worse [Robinson,H]
Adverbialism sees the contents of sense-experience as modes, not objects [Robinson,H]
If there are only 'modes' of sensing, then an object can no more be red or square than it can be proud or lazy. [Robinson,H]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
An explanation presupposes something that is improbable unless it is explained [Robinson,H]
If all possibilities are equal, order seems (a priori) to need an explanation - or does it? [Robinson,H]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
If intentional states are intrinsically about other things, what are their own properties? [Robinson,H]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Physicalism cannot allow internal intentional objects, as brain states can't be 'about' anything [Robinson,H]
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 / D. Propositions / 3. Concrete Propositions
Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / c. Matter as extension
Locke's solidity is not matter, because that is impenetrability and hardness combined [Robinson,H]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
'Gunk' is an individual possessing no parts that are atoms [Chihara]