Combining Texts

All the ideas for 'Intro to Naming,Necessity and Natural Kinds', 'Sets and Numbers' and 'Locke on Human Understanding'

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19 ideas

2. Reason / D. Definition / 1. Definitions
The new view is that "water" is a name, and has no definition [Schwartz,SP]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
The master science is physical objects divided into sets [Maddy]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
We refer to Thales successfully by name, even if all descriptions of him are false [Schwartz,SP]
The traditional theory of names says some of the descriptions must be correct [Schwartz,SP]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy]
Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy]
Numbers are properties of sets, just as lengths are properties of physical objects [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Sets exist where their elements are, but numbers are more like universals [Maddy]
Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
If mathematical objects exist, how can we know them, and which objects are they? [Maddy]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
Two things can only resemble one another in some respect, and that may reintroduce a universal [Lowe]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
On substances, Leibniz emphasises unity, Spinoza independence, Locke relations to qualities [Lowe]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
Perception is a mode of belief-acquisition, and does not involve sensation [Lowe]
12. Knowledge Sources / B. Perception / 7. Causal Perception
Science requires a causal theory - perception of an object must be an experience caused by the object [Lowe]
16. Persons / D. Continuity of the Self / 1. Identity and the Self
Personal identity is a problem across time (diachronic) and at an instant (synchronic) [Lowe]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Mentalese isn't a language, because it isn't conventional, or a means of public communication [Lowe]
18. Thought / C. Content / 8. Intension
The intension of "lemon" is the conjunction of properties associated with it [Schwartz,SP]
19. Language / A. Nature of Meaning / 2. Meaning as Mental
If meaning is mental pictures, explain "the cat (or dog!) is NOT on the mat" [Lowe]