The scope and method of logic as we know it today eminently reflect the ground-breaking developments of set theory and the logical foundations of mathematics at the turn of the 20th century. Unfortunately, little effort has been made to understand the idiosyncrasies of the philosophical context that led to these tremendous innovations in the 19thcentury beyond what is found in the works of mathematicians such as Frege, Hilbert, and Russell. This constitutes a monumental gap in our understanding of the central influences that shaped 19th-century thought, from Kant to Russell, and that helped to create the conditions in which analytic philosophy could emerge.
The aim of Logic from Kant to Russell is to document the development of logic in the works of 19th-century philosophers. It contains thirteen original essays written by authors from a broad range of backgrounds—intellectual historians, historians of idealism, philosophers of science, and historians of logic and analytic philosophy. These essays question the standard narratives of analytic philosophy’s past and address concerns that are relevant to the contemporary philosophical study of language, mind, and cognition. The book covers a broad range of influential thinkers in 19th-century philosophy and analytic philosophy, including Kant, Bolzano, Hegel, Herbart, Lotze, the British Algebraists and Idealists, Moore, Russell, the Neo-Kantians, and Frege.
"This book charts the rich and varied philosophical background against which mathematical logic developed." – Peter Simons, Trinity College Dublin
1. The Logicians of Kant’s School
2. Kant’s Excessive Tenderness for Things in the World, and Hegel’s Diatheism
3. Hegel’s Conception of Thinking in his Logics
4. Bolzano on Logic in Mathematics and Beyond
5. Laws of Thought and Laws of Logic after Kant
6. Platonism in Lotze and Frege
Nicholas F. Stang
7. Demystifying Cohen’s Logik
8. The Logic in Dedekind’s Logicism
9. What Russell Meant When He Called Moore a Logician
10. Sigwart, Russell and the Emergence of Scientific Philosophy
11. Kant and Formalism. Hilbert, Russell and Whitehead