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# Blog

## Rationalism versus empiricism

## Cultural reception of geometry in early modern Europe

## Maker’s knowledge: early modern philosophical interpretations of geometry

## “Let it have been drawn”: the role of diagrams in geometry

## Why construct?

## Created equal: Euclid’s Postulates 1-4

## That which has no part: Euclid’s definitions

## What makes a good axiom?

## Consequentia mirabilis: the dream of reduction to logic

## Read Euclid backwards: history and purpose of Pythagorean Theorem