Euclid's Elements

We are in -290, Euclid is writing down some obvious stuff, also called axioms by educated fools. Here goes my favorite. "Let it be granted that things which are equal to the same thing are equal to one another". Also by transitivity, the author of this gem was certainly an interesting fool. A fool trying to be consistent. Nowadays, we call these peculiar animals mathematicians. From there he plays with his definitions… I am writing this blah in Greece and can tell how much of nature he had to ignore to be consistent around the birth of civilization. These days we can do much better because Descartes 1596-1650 connected algebra and geometry so Gauss 1777-1855 + Riemann 1826-1866 (*) could finally build the tools to challenge Euclid’s ideas. Hilbert 1862-1943 followed playing with the infinite geometries out there (or inside here, Plato). Then Einstein 1879-1955 showed that the universe is non-Euclidean. In sequence, Gödel 1906-1978 showed that Euclid figured out the only way of constructing consistent arguments. They say this book has vast influences among our best thinkers and within civilization in a broad sense. But I didn't solve all the ancient problems within because it is okay to be incomplete. Quod Erat Faciendum (Q.E.F.). *Warning: in 2019 we are still missing the tools to do algebra with mathematicians.

Great book and excellent transaction! Thanks kindly!