Combining Texts

All the ideas for 'fragments/reports', 'Logicism in the 21st Century' and 'Syntactic Structure'

expand these ideas     |    start again     |     specify just one area for these texts


8 ideas

2. Reason / F. Fallacies / 8. Category Mistake / c. Category mistake as semantic
Chomsky established the view that category mistakes are well-formed but meaningless [Chomsky, by Magidor]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
Neo-logicism founds arithmetic on Hume's Principle along with second-order logic [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
The Julius Caesar problem asks for a criterion for the concept of a 'number' [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Logicism is only noteworthy if logic has a privileged position in our ontology and epistemology [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Logicism might also be revived with a quantificational approach, or an abstraction-free approach [Hale/Wright]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright]
19. Language / C. Assigning Meanings / 1. Syntax
Syntax is independent of semantics; sentences can be well formed but meaningless [Chomsky, by Magidor]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]