Combining Philosophers

Ideas for Eubulides, Rayo,A/Uzquiasno,G and Gottlob Frege

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10 ideas

5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Frege replaced Aristotle's subject/predicate form with function/argument form [Frege, by Weiner]
Convert "Jupiter has four moons" into "the number of Jupiter's moons is four" [Frege]
A thought can be split in many ways, so that different parts appear as subject or predicate [Frege]
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
First-level functions have objects as arguments; second-level functions take functions as arguments [Frege]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
Relations are functions with two arguments [Frege]
5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
Frege gives a functional account of predication so that we can dispense with predicates [Frege, by Benardete,JA]
For Frege, predicates are names of functions that map objects onto the True and False [Frege, by McGinn]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
Despite Gödel, Frege's epistemic ordering of all the truths is still plausible [Frege, by Burge]
The primitive simples of arithmetic are the essence, determining the subject, and its boundaries [Frege, by Jeshion]
'Theorems' are both proved, and used in proofs [Frege]