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Full Idea
Functions of one argument are concepts; functions of two arguments are relations.
Gist of Idea
Relations are functions with two arguments
Source
Gottlob Frege (Function and Concept [1891], p.39)
Book Ref
Frege,Gottlob: 'Translations from the Writings of Gottlob Frege', ed/tr. Geach,P/Black,M [Blackwell 1980], p.39
A Reaction
Nowadays we would say 'two or more'. Another interesting move in the aim of analytic philosophy to reduce the puzzling features of the world to mathematical logic. There is, of course, rather more to some relations than being two-argument functions.
| 18806 | Frege thought traditional categories had psychological and linguistic impurities [Frege, by Rumfitt] |
| 18899 | Frege takes the existence of horses to be part of their concept [Frege, by Sommers] |
| 4028 | Frege allows either too few properties (as extensions) or too many (as predicates) [Mellor/Oliver on Frege] |
| 9947 | Concepts are the ontological counterparts of predicative expressions [Frege, by George/Velleman] |
| 9948 | Unlike objects, concepts are inherently incomplete [Frege, by George/Velleman] |
| 10319 | An assertion about the concept 'horse' must indirectly speak of an object [Frege, by Hale] |
| 4972 | I may regard a thought about Phosphorus as true, and the same thought about Hesperus as false [Frege] |
| 8488 | A concept is a function whose value is always a truth-value [Frege] |
| 8487 | Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege] |
| 8489 | The concept 'object' is too simple for analysis; unlike a function, it is an expression with no empty place [Frege] |
| 8490 | First-level functions have objects as arguments; second-level functions take functions as arguments [Frege] |
| 8491 | The Ontological Argument fallaciously treats existence as a first-level concept [Frege] |
| 8492 | Relations are functions with two arguments [Frege] |