Combining Texts

All the ideas for 'The Essence of Aesthetic', 'The Causal Theory of Names' and 'Mathematical logic and theory of types'

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19 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Classes can be reduced to propositional functions [Russell, by Hanna]
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]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Type theory seems an extreme reaction, since self-exemplification is often innocuous [Swoyer on Russell]
Russell's improvements blocked mathematics as well as paradoxes, and needed further axioms [Russell, by Musgrave]
Type theory means that features shared by different levels cannot be expressed [Morris,M on Russell]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Ramified types can be defended as a system of intensional logic, with a 'no class' view of sets [Russell, by Linsky,B]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
A set does not exist unless at least one of its specifications is predicative [Russell, by Bostock]
Russell is a conceptualist here, saying some abstracta only exist because definitions create them [Russell, by Bostock]
Vicious Circle says if it is expressed using the whole collection, it can't be in the collection [Russell, by Bostock]
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]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
The experience of expression and communication are intermingled in art [Croce]