On Ramsey’s reason to amend Principia Mathematica’s logicism and Wittgenstein’s reaction (2021)
In the Foundations of Mathematics (1925), Ramsey attempted to amend Principia Mathematica’s logicism to meet serious objections raised against it. While Ramsey’s paper is well known, some questions concerning Ramsey’s motivations to write it and its reception still remain. This paper considers these questions afresh. First, an account is provided for why Ramsey decided to work on his paper instead of simply accepting Wittgenstein’s account of mathematics as presented in the Tractatus. Secondly, evidence is given supporting that Wittgenstein was not moved by Ramsey’s objection against the Tractarian account of arithmetic, and a suggestion is made to explain why Wittgenstein reconsidered Ramsey’s account in the early thirties on several occasions. Finally, a reading is formulated to understand the basis on which Wittgenstein argues against Ramsey’s definition of identity in his 1927 letter to Ramsey.
...MoreSimilar Citations
Chapter
Goldfarb, Warren;
(2010)
Frege's Conception of Logic
(/isis/citation/CBB001211649/)
Article
Alessio Persichetti;
(2021)
The later Wittgenstein’s guide to contradictions
(/isis/citation/CBB312904403/)
Article
Ramsey, Frank Plumpton;
(2007)
Truth and Simplicity
(/isis/citation/CBB000831440/)
Article
Hana, Daesuk;
(2010)
Wittgenstein and the Real Numbers
(/isis/citation/CBB001210976/)
Article
Sayward, Charles;
(2005)
Steiner versus Wittgenstein: Remarks on Differing Views of Mathematical Truth
(/isis/citation/CBB000933620/)
Chapter
Diamond, Cora;
(2010)
Inheriting from Frege: The Work of Reception, as Wittgenstein Did It
(/isis/citation/CBB001211660/)
Article
Thomas McNally;
(2016)
More Than a Feeling: Wittgenstein and William James on Love and Other Emotions
(/isis/citation/CBB108623002/)
Book
Williams, Meredith;
(1999)
Wittgenstein, mind, and meaning: Toward a social conception of mind
(/isis/citation/CBB000111954/)
Book
de Ceglia, Francesco Paolo;
(1999)
De Natantibus: Una Disputa ai Confini tra Filosofia e Matematica nella Toscana Medicea (1611-1615)
(/isis/citation/CBB000100280/)
Article
Lampert, Timm;
(2003)
Psychophysical and Tractarian Analysis
(/isis/citation/CBB000502675/)
Book
José L. Zalabardo;
(2015)
Representation and Reality in Wittgenstein's Tractatus
(/isis/citation/CBB726782024/)
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
Susanna Zellini;
(2018)
Wittgenstein, Mach e il senso comune
(/isis/citation/CBB902592785/)
Essay Review
Nordmann, Alfred;
(2002)
Another New Wittgenstein: The Scientific and Engineering Background of the Tractatus
(/isis/citation/CBB000502666/)
Book
Halais, Emmanuel;
(2007)
Wittgenstein et l'énigme de l'existence: la forme et l'expression
(/isis/citation/CBB000772822/)
Book
Stern, David G.;
(2004)
Wittgenstein's Philosophical Investigations: An Introduction
(/isis/citation/CBB000550812/)
Article
Toti Rigatelli, Laura;
(2010)
Un'amicizia: Ludwig Wittgenstein e Bertrand Russell
(/isis/citation/CBB001033802/)
Article
Puchner, Martin;
(2005)
Doing Logic with a Hammer: Wittgenstein's Tractatus and the Polemics of Logical Positivism
(/isis/citation/CBB000601015/)
Book
Sterrett, Susan G.;
(2006)
Wittgenstein Flies a Kite: A Story of Models of Wings and Models of the World
(/isis/citation/CBB000931082/)
Article
Hamilton, Kelly Ann;
(2002)
Darstellungen in The Principles of Mechanics and the Tractatus: The Representation of Objects in Relation in Hertz and Wittgenstein
(/isis/citation/CBB000502650/)
Be the first to comment!