## Day 16: Platonic mathematical philosophy and education

### Summary

Platonism and mathematics.

Why did Plato give a prominent place to mathematics?

What kind(s) of mathematics did Plato consider important?

The Platonic mathematical curriculum from *The Republic*.

The nature of mathematical knowledge.

The nature of mathematical 'existence'.

Mathematical ideals and ideal forms.

What is a triangle?

Is mathematics true?

What do 'is' and 'true' mean here?

### Reading

'Plato,' *DSB*. (On the Reference shelves)

J. Fauvel and J. Gray, *The History of Mathematics,* 2E
Plato.
(On reserve)

On to Day 17.

Up to Ancient
and
Classical Mathematics

Last modified: 17 October 2005
Duncan
J.
Melville

Comments to dmelville@stlawu.edu