Rethinking geometrical exactness

作者：Panza Marco^*

来源：Historia Mathematica, 2011, 38(1): 42-95.

DOI：10.1016/j.hm.2010.09.001

• Euclid s plane geometry
• Early modern geometry
• Descartes s geometry

A crucial concern of early modern geometry was fixing appropriate norms for deciding whether some objects, procedures, or arguments should or should not be allowed into it According to Bos, this is the exactness concern I argue that Descartes's way of responding to this concern was to suggest an appropriate conservative extension of Euclid's plane geometry (EPG) In Section 2, 1 outline the exactness concern as, I think it appeared to Descartes In Section 3, 1 account for Descartes's views on exactness and for his attitude towards the most common sorts of constructions in classical geometry I also explain in which sense his geometry can be c

• 出版日期2011-2