|The trigonometric identities |
come from the Pythagorean theorem.
|You can write out the algebraic statements|
but a picture is worth a thousand words.
|Descartes is credited with uniting algebra and geometry. |
His work reflects the seemingly intractable
analytic-synthetic dichotomy of philosophers.
In truth, it should have erased the distinction
between the logically consistent and the empirically verifiable.
See the works of Gregory Browne on this blog here and here.
PREVIOUSLY ON NECESSARY FACTS
Pi in the Sky over Austin (2014)
World Peace Through Massive Retaliation
Anthropocene: A Bad Name for a Good Thing