David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
History and Philosophy of Logic 9 (1):35-42 (1988)
Frege uses Greek letters in two different ways in his Begriffsschrift. One way is the familiar use of bound variables, in conjunction with variable-binding operators, to mark and close argument-places. The other, which is quite unfamiliar, employs letters to mark places for operators to reach into, without thereby closing these places. Frege thereby invents a powerful and compact notation for functional operations which can be recommended even today. His regrettable double use of Greek letters obscured his invention, and this, together with the fact that in the Grundgesetze he no longer has need of function-valued functions, explains why the device was overlooked and has not passed into general use
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
William Demopoulos (1994). Frege and the Rigorization of Analysis. Journal of Philosophical Logic 23 (3):225 - 245.
Similar books and articles
Richard Heck (2007). Frege and Semantics. Grazer Philosophische Studien 75 (1):27-63.
Jan Wolenński (1997). Hans Sluga (Ed.), The Philosophy of Frege. A Four-Volume Collection of Scholarly Articles on All Aspects of Frege's Philosophy, Vol.1: General Assessments and Historical Accounts of Frege's Philosophy, Vol.2: Logic and Foundations of Mathematics in Frege's Philosophy, Vol.3: Meaning and Ontology in Frege's Philosophy, Vol.4: Sense and Reference in Frege's Philosophy. [REVIEW] Erkenntnis 46 (3):407-410.
Francis Jeffry Pelletier (2001). Did Frege Believe Frege's Principle? Journal of Logic, Language and Information 10 (1):87-114.
Paul Oppenheimer & Edward N. Zalta (2011). Relations Vs Functions at the Foundations of Logic: Type-Theoretic Considerations. Journal of Logic and Computation 21:351-374.
Mark Textor (2009). Unsaturatedness: Wittgenstein's Challenge, Frege's Answer. Proceedings of the Aristotelian Society 109 (1pt1):61-82.
Richard Heck (1995). Definition by Induction in Frege's Grundgesetze der Arithmetik. In W. Demopoulos (ed.), Frege's Philosophy of Mathematics. OUP.
Robert May (2012). What Frege's Theory of Identity is Not. Thought 1 (1):41-48.
Andrea Nye (1992). Frege's Metaphors. Hypatia 7 (2):18 - 39.
Added to index2010-08-10
Total downloads4 ( #272,916 of 1,168,877 )
Recent downloads (6 months)1 ( #140,419 of 1,168,877 )
How can I increase my downloads?