## What is Frege’s Theory of Descriptions?

Citations: | 1 - 1 self |

### BibTeX

@MISC{Pelletier_whatis,

author = {Francis Jeffry Pelletier and Bernard Linsky},

title = {What is Frege’s Theory of Descriptions?},

year = {}

}

### OpenURL

### Abstract

When prompted to consider Frege’s views about definite descriptions, many philosophers think about the meaning of proper names, and some of them can cite the following quotation taken from a footnote Frege’s 1892 article “ Über Sinn und Bedeutung.”2

### Citations

716 | Introduction to Metamathematics - Kleene - 1952 |

665 | Naming and Necessity - Kripke - 1980 |

164 | Uber Sinn und Bedeutung”, Zeitschrift fur Philosophie und philosophische Kritik vol. 100[1892], translated in English by P. Geach “On Sense and reference - Frege - 1952 |

126 | Descriptions - Neale - 1990 |

104 | Principia mathematica - Whitehead, Russell - 1912 |

87 | Die Grundlagen der Arithmetik. Eine logisch-mathematische Untersuchung über den Begriff der Zahl - Frege |

82 |
Axiomatic Set Theory
- Suppes
- 1960
(Show Context)
Citation Context ...be named. (See Anderson 1984, p.375.) 5b Frege-Strawson A Frege-Strawson approach to definite descriptions is one where improper descriptions have no designation (at least, not in the universe 36 See =-=Suppes, 1960-=-, §2.5, pp.33 ff. 37 As we remaked earlier, it can also be seen as a development of the Frege-Strawson theory.228 F. J. Pelletier and B. Linsky of objects), and sentences containing such descriptions... |

65 | Introduction to Logical Theory - Strawson - 1952 |

51 | Grundgesetze der Arithmetik, Begriffschriftlich Abgeleitet, Viena (1893/1903 - Frege |

50 | Quantifying in - Kaplan - 1969 |

36 | Frege’s Philosophy of Mathematics - Dummett - 1991 |

34 | Logic: Techniques of formal reasoning - Kalish, Montague - 1964 |

24 | The interpretation of Frege’s philosophy - Dummett - 1981 |

20 | Mathematical logic - Schoenfield - 1967 |

17 |
A formulation of the logic of sense and denotation
- Church
- 1951
(Show Context)
Citation Context ... by this formal trick, the two types of theory are very different: in one theory we have meaninglessness while in the other we have truth and falsity. Alonzo Church’s “Logic of Sense and Denotation” (=-=Church 1951-=-) may be seen, from one point of view, as formalizing the Frege-Hilbert account. 37 Though it does not include constants as Church originally presented the theory, the logic can be supplemented with a... |

17 | Existence & Description in Formal Logic - Scott - 1967 |

14 | Mathematical logic: Revised edition - Quine - 1979 |

9 | The Foundations of Frege’s Logic - Tichy - 1988 |

8 | Frege: Making Sense - Beaney - 1996 |

7 |
General Intensional Logic
- Anderson
- 1984
(Show Context)
Citation Context ...that the sense denotes! Thus descriptions for individuals (or senses) can only be introduced when guaranteed a denotation, even though senses that don’t denote objects can nevertheless be named. (See =-=Anderson 1984-=-, p.375.) 5b Frege-Strawson A Frege-Strawson approach to definite descriptions is one where improper descriptions have no designation (at least, not in the universe 36 See Suppes, 1960, §2.5, pp.33 ff... |

7 | 1893) Grundgesetze der Arithmetik, begriffsschriftlich abgeleitet - Frege |

5 |
Meaning and Necessity. 2 nd Edition
- Carnap
- 1956
(Show Context)
Citation Context ...ames. Before ‘the negative square root of 4’ is admitted to the language as a name, it must be proved that it is proper. (This is the sort of procedure pursued by Hilbert & Bernays 1934, according to =-=Carnap 1956-=-, p.35. And for this reason we call it the ‘Frege-Hilbert’ theory.) A difficulty with this method is that it makes well-formedness be a consequence of provability or of some factual truth. Before we k... |

5 | Quantifying In.” Synthese 19 - Kaplan - 1969 |

4 | The Foundations of Frege’s Logic, Walter de Gruyter - Tichy - 1988 |

3 | Frege and the Logic of Sense and Reference - Klement |

3 |
Strict Fregean Free Logic
- Lehmann
- 1994
(Show Context)
Citation Context ... have been in vogue for free logics, where some names lack a denotation in the domain, and can be equally well applied to the case of definite descriptions. (See Lambert & van Fraassen 1967; see also =-=Lehmann 1994-=- for a variant.) In a Frege-Strawson semantics, the interpretation in a model of all simple names is either some element of D or else D itself. We will use 〚φ〛 to mean the semantic value of φ in the i... |

3 | 2001) “Free Logic: A Fifty-Year Past and Open Future - Morscher, Simons |

2 | Logic: Techniques of Formal Reasoning. 2 nd Edition - Kalish, Montague, et al. - 1980 |

2 | On Free Description Theory” Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 13 - Lambert, Fraassen - 1967 |

1 | 2nd Ed.) as The Foundations of Arithmetic. A logic-mathematical enquiry into the concept of number - Austin - 1953 |

1 | as The Basic Laws of Arithmetic: Exposition of the System - Furth - 1964 |

1 |
Gottlob Frege: Werk und Wirkung
- Gabriel, Dathe
- 2001
(Show Context)
Citation Context ...al Law), which is not merely a proposed law but also a discussion of its justification, was found in the archives of the politician Clemens von Delbrück (1856-1921), and dates from probably 1918 (see =-=Gabriel & Dathe, 2001-=-, pp. 185296). In this document Frege remarks that, while it was all right for the Americans and English to follow the heresy of the French égalité in allowing women the right to vote, “we Germans thi... |

1 | Frege’s “Vorschläge für ein Wahlgesetz”, 297313. is Frege’s Theory of Descriptions? 249 - Mentis - 1944 |

1 | Remarks on Identity and Description in First-Order Axiom Systems - Hailperin - 1954 |

1 |
What is Russell’s Theory of Descriptions?” in D. Pears Bertrand Russell: A Collection of Critical Essays
- Kaplan
- 1972
(Show Context)
Citation Context ...a denotation but nonetheless have a sense. A somewhat different direction is taken by “free logics”, which in general allow singular terms not to 5 The name ‘Frege-Strawson’ for this theory is due to =-=Kaplan, 1972-=-, thinking of Strawson (1950, 1952).What is Frege’s Theory of Descriptions? 205 denote anything in the domain, thereby making (some) sentences containing these be truth-valueless. (See Lambert & van ... |

1 |
Russell’s Notes on Frege for Appendix A of The Principles of Mathematics”. Russell: The Journal of Bertrand Russell Studies, n.s
- Linsky
- 2004
(Show Context)
Citation Context ...onfusion that would be brought on by using ‘nominatum’, ‘reference’, and ’meaning’ for Bedeutung, and ‘meaning’ or ‘sense’ for Sinn. We got this idea from Russell’s practice in his reading notes (see =-=Linsky 2004-=-). Otherwise we generally follow Black’s translation of “ Über Sinn und Bedeutung” (in the 3rd Edition), Furth’s translation of Grundgesetze, and Austin’s tranlsation of Grundlagen. 195196 F. J. Pell... |

1 | On Denoting”, Mind 14: 479–493. Reprinted in The Collected Papers of Bertrand Russell, Vol.IV: Foundations of Logic 1903-05 - Russell - 1905 |

1 | Review of Meinong and Others, Untersuchungen zur Gegenstandstheorie und Psychologie”, Mind 14 - Russell - 1905 |

1 |
Gottlob Frege: Werk und Wirkung. Mentis: Paderborn. Frege’s “Vorschläge für ein Wahlgesetz” is on
- Gabriel, Dathe
- 2001
(Show Context)
Citation Context ...al Law), which is not merely a proposed law but also a discussion of its justification, was found in the archives of the politician Clemens von Delbrück (1856-1921), and dates from probably 1918 (see =-=Gabriel & Dathe, 2001-=-, pp. 185-296). In this document Frege remarks that, while it was all right for the Americans and English to follow the heresy of the French égalité in allowing women the right to vote, “we Germans th... |

1 |
Strict Fregean Free Logic” Journal of Philosophical Logic 23: 307-336. [MK
- Lehmann
- 1994
(Show Context)
Citation Context ...en by “free logics”, which in general allow singular terms not to denote anything in the domain, thereby making (some) sentences containing these be truth-valueless. (See Lambert & van Fraassen 1967, =-=Lehmann 1994-=-, Moscher & Simons 2001). In these latter theories, there is a restriction on the rules of inference that govern (especially) the quantifiers and the identity sign, so as to make them accord with this... |

1 | Descriptions (Cambridge Mass - Neale - 1990 |

1 | On Denoting”, Mind 14: 479-493. Reprinted in R. Harnish Basic Topics - Russell - 1905 |

1 |
Axiomatic Set Theory,Van
- Suppes
- 1960
(Show Context)
Citation Context ...nd falsity. Alonzo Church’s “Logic of Sense and Denotation” (Church 1951) may be seen, from one point of view, as formalizing the Frege-Hilbert account. 26 Though it does not include constants 25 See =-=Suppes, 1960-=-, §2.5, pp.33 ff.p.25 as Church originally presented the theory, the logic can be supplemented with an expression naming the sense of the definite description ‘the f’, where nothing or more than one ... |