Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Mathematical Truth' and 'The Causal Theory of Names'

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16 ideas

2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
We must distinguish what the speaker denotes by a name, from what the name denotes [Evans]
How can an expression be a name, if names can change their denotation? [Evans]
A private intention won't give a name a denotation; the practice needs it to be made public [Evans]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
The Causal Theory of Names is wrong, since the name 'Madagascar' actually changed denotation [Evans]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematical truth is always compromising between ordinary language and sensible epistemology [Benacerraf]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Realists have semantics without epistemology, anti-realists epistemology but bad semantics [Benacerraf, by Colyvan]
The platonist view of mathematics doesn't fit our epistemology very well [Benacerraf]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Speakers intend to refer to items that are the source of their information [Evans]
The intended referent of a name needs to be the cause of the speaker's information about it [Evans]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
If descriptions are sufficient for reference, then I must accept a false reference if the descriptions fit [Evans]
19. Language / F. Communication / 5. Pragmatics / b. Implicature
We use expressions 'deferentially', to conform to the use of other people [Evans]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
Charity should minimize inexplicable error, rather than maximising true beliefs [Evans]