PhilosophyIdeas.com Database     |     Current Total Ideas: 22,967     |     home     |     back

Ideas from 'The Architecture of Mathematics' by Nicholas Bourbaki [1950], by Theme Structure

green numbers give full details    |     back to texts     |     unexpand this idea

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
10190 From the axiomatic point of view, mathematics is a storehouse of abstract structures
                        Full Idea: From the axiomatic point of view, mathematics appears as a storehouse of abstract forms - the mathematical structures.
                        From: Nicholas Bourbaki (The Architecture of Mathematics [1950], 221-32), quoted by Fraser MacBride - Review of Chihara's 'Structural Acc of Maths' p.79
                        A reaction: This seems to be the culmination of the structuralist view that developed from Dedekind and Hilbert, and was further developed by philosophers in the 1990s.