“The Limits of Abstraction”
E949480
“The Limits of Abstraction” is a major work in contemporary philosophy by Kit Fine that critically examines and reformulates the use of abstraction principles in the foundations of mathematics and logic.
All labels observed (1)
| Label | Occurrences |
|---|---|
| “The Limits of Abstraction” canonical | 1 |
Statements (39)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
philosophical work ⓘ |
| aimsAt |
clarifying the legitimacy of abstraction principles
ⓘ
providing constraints on acceptable abstraction principles ⓘ |
| associatedWith |
Fregean abstraction
NERFINISHED
ⓘ
neo-logicism ⓘ |
| author | Kit Fine NERFINISHED ⓘ |
| contributesTo | discussion of abstraction in contemporary analytic philosophy ⓘ |
| critiques | traditional abstractionist programs ⓘ |
| discusses |
Frege’s Theorem
NERFINISHED
ⓘ
Hume’s Principle NERFINISHED ⓘ criteria of identity ⓘ equivalence relations ⓘ logicality of abstraction principles ⓘ ontological commitment ⓘ |
| examines | use of abstraction principles ⓘ |
| field |
logic
ⓘ
philosophy ⓘ philosophy of logic ⓘ |
| focusesOn |
foundations of logic
ⓘ
foundations of mathematics ⓘ |
| genre |
analytic philosophy
NERFINISHED
ⓘ
non-fiction ⓘ |
| hasImpactOn |
debates about mathematical ontology
ⓘ
debates about the nature of numbers ⓘ neo-Fregean approaches to arithmetic ⓘ |
| influencedBy |
Gottlob Frege
NERFINISHED
ⓘ
logicism ⓘ |
| language | English ⓘ |
| mainTopic |
abstraction principles
ⓘ
philosophical logic ⓘ philosophy of mathematics ⓘ |
| notableFor |
detailed formal analysis of abstraction schemas
ⓘ
influence on contemporary neo-logicist literature ⓘ systematic treatment of abstraction principles ⓘ |
| philosophicalTradition | analytic philosophy ⓘ |
| proposes | reformulation of abstraction principles ⓘ |
| usedIn |
advanced courses in philosophy of mathematics
ⓘ
graduate seminars in logic and metaphysics ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.