Top News, Articles, and Interviews in Philosophy

Dedekind’s Map-theoretic Period

Philosophy News image
AbstractIn 1887–1894, Richard Dedekind explored a number of ideas within the project of placing mappings at the very center of pure mathematics. We review two such initiatives: the introduction in 1894 of groups into Galois theory intrinsically via field automorphisms, and a new attempt to define the continuum via maps from ℕ to ℕ (later called Baire space) in 1891. These represented the culmination of Dedekind’s efforts to reconceive pure mathematics within a theory of sets and maps and throw new light onto the nature of his structuralism and its specificity in relation to the work of other mathematicians.

Continue reading . . .

News source: Philosophia Mathematica Current Issue

blog comments powered by Disqus

Recent Books in Philosophy


Check out some of the latest books being published in philosophy
in various fields and disciplines.