Frege and Russell are often linked, as the founders of twentieth-century analytic philosophy. Besides this historical, retrospective, connection, there are also important similarities in doctrine between them. Each was a logician, whose work in logic was closely integrated with his work in philosophy; each held that philosophical problems can be clarified and, in some cases, solved, by means of logic. (This view that the technical and the philosophical are not distinct is characteristic of one clear line of thought in twentieth-century analytic philosophy.) Each argued for, and tried to prove, logicism, the thesis that arithmetic can be reduced to logic, and is thus no more than logic in disguise. Each was strongly opposed to psychologism; each believed in a 'third realm', neither physical nor mental, which provides the subject matter for objective judgements about abstract matters. (In Frege's case, however, it is perhaps unclear just what this belief comes to.) In particular, each believed that our declarative sentences have an objective content, independent of human action - that, as Frege puts it, there is not my Pythagorean theorem and your Pythagorean theorem but the Pythagorean theorem, independent of both of us, and timelessly true. (Russell to some extent backs away from this view after 1906, as we shall see; the shift, however, has relatively little effect on the issues I shall be discussing in this essay.
...MoreBook Ricketts, Tom; Potter, Michael D. (2010) The Cambridge Companion to Frege.
Similar Citations
Article
John Woods;
(2021)
What did Frege take Russell to have proved?
(/isis/citation/CBB858610340/)
Article
Roy, Jean-Michel;
(2014)
“ There is no such thing as philosophic logic ”: Le problème de l'exception wittgensteinienne
(/isis/citation/CBB001551990/)
Article
Korhonen, Anssi;
(2012)
Logic as a Science and Logic as a Theory: Remarks on Frege, Russell and the Logocentric Predicament
(/isis/citation/CBB001214125/)
Book
Ricketts, Tom;
Potter, Michael D.;
(2010)
The Cambridge Companion to Frege
(/isis/citation/CBB001211647/)
Article
Mark Textor;
(2021)
Saying Something about a Concept: Frege on Statements of Number
(/isis/citation/CBB227044624/)
Chapter
Goldfarb, Warren;
(2010)
Frege's Conception of Logic
(/isis/citation/CBB001211649/)
Book
Künne, Wolfgang;
(2010)
Die Philosophische Logik Gottlob Freges: ein Kommentar; mit den Texten des Vorworts zu Grundgesetze der Arithmetik und der Logischen Untersuchungen I--IV
(/isis/citation/CBB001210615/)
Book
Linsky, Bernard;
(2011)
The Evolution of Principia Mathematica: Bertrand Russell's Manuscripts and Notes for the Second Edition
(/isis/citation/CBB001221112/)
Book
Gandon, Sébastien;
(2012)
Russell's Unknown Logicism: A Study in the History and Philosophy of Mathematics
(/isis/citation/CBB001201203/)
Book
Grattan-Guiness, I.;
(2000)
Search for Mathematical Roots, 1870-1940: Logics, Set Theories and the Foundations of Mathematics from Cantor Through Russell to Gödel
(/isis/citation/CBB000102346/)
Article
Jan Vrhovski;
(2021)
On Infinitesimals and Indefinitely Cut Wooden Sticks: A Chinese Debate on ‘Mathematical Logic’ and Russell’s Introduction to Mathematical Philosophy from 1925
(/isis/citation/CBB635980926/)
Chapter
Beaney, Michael;
(2006)
Frege and the Role of Historical Elucidation: Methodology and the Foundations of Mathematics
(/isis/citation/CBB000800117/)
Article
Kraal, Anders;
(2013)
The Emergence of Logical Formalization in the Philosophy of Religion: Genesis, Crisis, and Rehabilitation
(/isis/citation/CBB001213917/)
Chapter
Sandu, Gabriel;
Aho, Tuomo;
(2009)
Logic and Semantics in the Twentieth Century
(/isis/citation/CBB001210354/)
Article
Heis, Jeremy;
(2010)
“Critical Philosophy Begins at the Very Point Where Logistic Leaves Off”: Cassirer's Response to Frege and Russell
(/isis/citation/CBB001034595/)
Chapter
Lenci, Alessandro;
Sandu, Gabriel;
(2009)
Logic and Linguistics in the Twentieth Century
(/isis/citation/CBB001210357/)
Essay Review
Klement, Kevin C.;
(2007--2008)
A New Century in the Life of a Paradox
(/isis/citation/CBB001567033/)
Chapter
Weiner, Joan;
(2010)
Understanding Frege's Project
(/isis/citation/CBB001211648/)
Book
Heijenoort, Jean van;
(2002)
From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931
(/isis/citation/CBB000201415/)
Article
Reck, Erich H.;
(2013)
Frege, Dedekind, and the Origins of Logicism
(/isis/citation/CBB001212886/)
Be the first to comment!