Wednesday, February 12, 2014

A point

A point, says Euclid, is that which has no part. What is the analogous definition for a "point" made in an argument or a line of reasoning?

These thoughts crossed my mind while reading How to Read a Book on the airplane this afternoon and reading Euclid's definition for the first time. It's one of those books you read where you start to make connection after connection with the other unsettled stuff knocking around your skull until you realized you've been staring out the airplane window for the last 10 minutes.

When I think of a "point" in an argument, I think of an element of the structure of the discourse rather than a zero-dimensional something which has no part except when for two special "points:" the point where you start and the point you are trying reach.

Do these points exist without the line of reasoning that connects them?

Testing MathJax