more from Michèle Friend

Single Idea 8700

[catalogued under 6. Mathematics / B. Foundations for Mathematics / 6. Mathematical Structuralism / d. Platonist structuralism]

Full Idea

In the 'in re' version of mathematical structuralism, pattern-spotting is the process of abstraction.

Clarification

For 'in re' structuralism, see Idea 8699

Gist of Idea

'In re' structuralism says that the process of abstraction is pattern-spotting

Source

Michèle Friend (Introducing the Philosophy of Mathematics [2007], 4.4)

Book Reference

Friend,Michèle: 'Introducing the Philosophy of Mathematics' [Acumen 2007], p.91


A Reaction

This might work for non-mathematical abstraction as well, if we are allowed to spot patterns within sensual experience, and patterns within abstractions. Properties are causal patterns in the world? No - properties cause patterns.