Juni Alonzo Church, Frege Gottlob. Der Gedanke. Beiträge zur Philosophie des deutschen Idealismus, vol. 1 no. 2, pp. 58–Frege Gottlob. Friedrich Ludwig Gottlob Frege was a German philosopher, logician, and mathematician. He is .. “Der Gedanke: Eine logische Untersuchung” (“The Thought: A Logical Inquiry”), in Beiträge zur Philosophie des Deutschen Idealismus I: 58– After his retirement in , Frege moved to Bad Kleinen, near Wismar, and managed to publish a number of important articles, “Der Gedanke” (“The Thought “.

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Frege, Gottlob | Internet Encyclopedia of Philosophy

Translated by Eike-Henner W. The Development of Logic. The former he called the reference Bedeutung of the expression, and the latter was called the sense Sinn of the expression. He argues instead that expressions such as “4 x 2” and “11 – 3” can be understood as standing for one and the same thing, the number eight, but that this single entity is determined or presented differently by the two expressions.

Exposition of the System. Harvard University Frrge HermesH. By continuing to use this website, you agree to their use. His father, Karl Alexander Frege, and his mother, Auguste Bialloblotzsky Frege, both worked at a girl’s private school founded in part by Karl.


Sources were checked, errors were eliminated, and frebe numbers were added whenever possible. Dudman in Dudman [] Translation by T. However, while the volume was already in the publication process, Frege received a letter from Bertrand Russell, informing him that it was possible to prove a contradiction in the logical system of the first volume of the G rundgesetzewhich included a naive calculus for classes.

Rather, it flanks terms for tedanke to form a term for a truth-value. Gottlob Frege – – Philosophical Review 59 2: In an attempt to explicate the notion further, Frege gives a tentative catalog of things truth — which for the sake of discussion he assumes is a property — may be predicated of: Philosophical Library SalmonN.


Only purely logical and the hybrid logical-psychological thinking that can ‘aim at’ thoughts 57 ; only these other types of thinking ‘can give us epistemic access to those objective entities that are ontologically independent from us and that guarantee us knowledge’ 58; compare This article has no associated abstract.

These expressions are incomplete in the sense that they contain an “empty space”, which, when filled, yields either a complex name referring to an object, or a complete proposition.

Though informative in its own right, it does not gexanke up for the omission of any substantive discussion of the arguably much more formative influence that post-Kantianism had upon Frege’s conception of thinking and its relation to cognition and knowledge. Review of Philosophie der Arithmetikby Edmund Husserl. Kaal in McGuinness [] p.

Hinstorff,the first section of which dealt with the structure and logic of language. Don’t have an account? Frege’s conditional is not, like the modern connective, something that flanks statements to form a statement. Indeed, Frege’s “firsts” in logic are almost too numerous to list.

Frege’s commitment to the sufficiency of the power of thinking to generate genuine logical, arithmetical knowledge on its own that places him by his own lights in such stark opposition to the Kantian tradition’s commitment to the necessity of combining thinking with some other sort of mental activity viz.

Many of the philosophical doctrines of the mature Frege have parallels in Lotze; it has been the subject of scholarly debate whether or not there was a direct influence on Frege’s views arising from his attending Lotze’s lectures. Frege’s “conceptual notation” however can represent such inferences.

The signs themselves, independently of what they mean, are unimportant.

Northwestern University Press, The situation may appear somewhat different in the case of grammatical predicates. Science Logic and Mathematics. Some of Frege’s most brilliant work came in providing definitions of the natural numbers in his logical language, and in proving some of their properties therein.


One of Frege’s stated purposes was to isolate genuinely logical principles of inference, so that in the proper representation of mathematical proof, one would at no point appeal to “intuition”.

The crucial case of the law may be formulated in modern notation as follows. It is to say that there is a one-one mapping between the objects that instantiate F and the objects instantiating Gi.

Gottlob Frege (1848—1925)

Fill in your details below or click an icon to log in: However, because the senses of these expressions are different–in 1 the object is presented the same way twice, freege in 2 it is presented in two different ways–it is informative to learn of 2. Conversely, there does not seem to be anything prohibiting a mind whose thinking is not ‘purely logical’ in the authors’ sense of also having representations occurring in the mind, from engaging with thoughts that are ‘purely logical’ in the sense of being solely about the subject-matter of logic.

Bertrand Russell, just when the printing of this volume was nearing its completion. This maturation of Frege’s semantic and philosophical views lead to changes in his logical language, forcing him to abandon an almost completed draft of his work in logic and the foundations of mathematics. As we shall see belowFrege was also committed to other logical entities such as senses and thoughts.

Garavaso and Vassallo seem to align the domain of the purely logical with thinking that grasps thoughts alone, as opposed to the other items sensations, feege, feelings, etc associated with consciousness.