In the philosophy of language, the distinction between concept and object is attributable to the German philosopher Gottlob Frege. Overview[edit]. According to Frege, any sentence that expresses a singular thought consists Frege, G. ” On Concept and Object”, originally published as “Ueber Begriff und Gegenstand” in. Friedrich Ludwig Gottlob Frege was a German philosopher, logician, and mathematician. He is .. Original: “Ueber Begriff und Gegenstand”, in Vierteljahresschrift für wissenschaftliche Philosophie XVI (): –;; In English: “Concept. Download Citation on ResearchGate | Kerry und frege über begriff und gegenstand 1 | After describing the philosophical background of Kerry’s work, an account.

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Equality undergoes a radical change in interpretation between the time of Begriffsschrift and that of Grundgesetze.

Gottlob Frege, Über Begriff und Gegenstand – PhilPapers

See also an online version, Andreas Keller ed. Frege immediately realized that the antinomy threatened to undermine his life’s work. But the issue is difficult to judge, not only because the language of the earlier work is rather imprecise but also because it is not clear whether Frege was aware of the significance of the distinction between objectual and substitutional quantification. Though largely ignored during his lifetime, Giuseppe Peano — and Bertrand Russell — introduced his work to later generations of logicians and philosophers.

Black in Black [] ; reprinted in Geach and Black [] pp. A frequently noted example is that Aristotle’s logic is unable to represent mathematical statements like Euclid’s gegensganda fundamental statement of number theory that there are an infinite number of prime numbers. For this reason, it is in the public domain.

Olms GabrielG. Prentice-Hall KlemkeE. The Reason’s Proper Study: The distinction was of fundamental importance to the development of logic and mathematics. In comparing Frege’s views with Kant’s it is however important to keep in mind that Frege was operating with his own technical definitions of analyticity and syntheticity, which are not obviously equivalent to Kant’s: He argued that, in contexts of propositional attitudes, expressions do not have their usual reference, but refer to their ordinary senses which thus become their indirect references ; then since “the morning star” and “the evening star” differ in ordinary sense, they are not, in the context at hand, coreferential, having distinct indirect references.

Having exhibited this possibility, Frege’s larger purpose was to defend the view that gegenstamd is a branch of logic, a view known as logicism: Korselt in Jahresbericht der Deutschen Mathematiker-Vereinigung 12pp. His father Carl Karl Alexander Frege — unf the co-founder and headmaster of a girls’ high school until his death. It is still being debated whether, and to what extent, these discoveries have any bearing on the validity of the logicist thesis restricted to arithmetic proper.


Toni Kannisto – – Synthese 8: From the explicit definition of the number belonging to a concept, Frege proceeds to gegensfand that HP becomes derivable by means of pure logic and defines 0 as the number belonging to the concept “is an object not identical with itself” and 1 as the number belonging to the concept “is an object identical with 0.

File:Gottlob Frege, Ueber Begriff und Gegenstand, 1892.pdf

Macmillan DudmanV. What is more, there are abstraction principles like Boolos’s parity principle that hold only in finite domains, which makes them gegenztand with HP, and hence it cannot be the logical form of an abstraction principle alone that could make HP analytic. His other notable university gegenxtand were Christian Philipp Karl Snell —86; subjects: Frege carefully distinguishes between basic laws axioms on the one hand, and inference rules on the other hand.

Frege was, first and foremost, a philosopher of mathematics. These distinctions were disputed by Bertrand Russell, especially in his paper ” On Denoting “; the controversy has continued into the present, fueled especially by Saul Kripke ‘s famous lectures ” Naming and Necessity “. Georg Olms,tr. The Editor of the Rivista di Matematica was G. hegriff

Concept and object – Wikipedia

Reicher – – Grazer Philosophische Studien Request removal from index. Abbe gave lectures on theory of gravity, galvanism and electrodynamics, complex analysis theory of functions of a complex freege, applications of physics, selected divisions of mechanics, and mechanics of solids. His book the Foundations of Arithmetic is the seminal text of the logicist project, and is cited by Michael Dummett as where to pinpoint the linguistic turn.

White in Hermes et gegensttand. Perspectives on Early Analytic Philosophy.

Nach der Mitschrift von Rudolf Carnap. Frege’s distinction leads to the famous difficulty gegenstannd “awkwardness of language” that some expressions which purport to signify a concept — Frege’s example is “the concept horse ” — are grammatically expressions that by his criterion signify beegriff Object. In addition, there are gothic letters serving as bound variables of first and higher ordersas well as Latin letters, whose role one would today characterize as that of free variables again, of various orders.

Regarding 2Frege noticed that the sentences “John believes that the morning star is a body illuminated by the sun” and “John believes that the evening star is a body illuminated by the sun” may have different truth-values, although the one is obtained from the other by substitution of a coreferential term.


Quine, Willard Van Orman. Austin, with German text, 2nd edition Blackwell, Index of language articles. For this special type of identity statement, the truth conditions can readily be formulated in dyadic second-order logical terms, namely, the number belonging to F is the same as the number belonging to G if and only if there exists a freeg relation R gegennstand correlates the objects that are F one-one and onto with the objects that are G.

A logic-mathematical enquiry into bergiff concept of numberOxford: A Source Book in Mathematical Logic, — ed.

Crispin Wright’s neologicism, especially as subsequently articulated and criticized by George S. In modern notation Frege’s formal definition is as follows: Gabriel suggests the date of From Frege to Wittgenstein: Frege’s proposed remedy was subsequently shown to imply that ubd is but one object in the universe of discourseand hence is worthless begenstand, this would make for a contradiction in Frege’s system if he had axiomatized the idea, fundamental to his discussion, that the True and the False are distinct objects; see, for example, Dummettbut recent work has shown that much of the program of the Grundgesetze might be salvaged in other ways:.

The stratification becomes more complicated with functions of more than one argument, since there exist, for instance, functions of two arguments with one argument place for unary first-level functions and one argument place for objects an instance being the application function, which maps a unary first-level function f and an object a to the result f a of applying f to aand so on.

To start with, there is the familiar problem about the ud of second-order logic itself, quite independently of HP. Extracts in TPWpp. While he followed Immanuel Kant in taking the truths of Euclidean geometry to be synthetic and knowable a priori forcefully defending this view against Hilbert’s axiomatic method in geometryhe vigorously argued, against Kant, for the logicist thesis, that is, the claim that the arithmetic truths, presumably including real and complex analysis, are analytic.

Hale, Bob, and Crispin Wright. By the time of Grundlagen the doctrine of logicism is firmly in place.

Mahoney, in Philosophy of Mathematics: History and Interpretation” Oxford University Press.