the.com/axiom
a truth so obvious it refuses to prove itself, and dares you to argue
means a statement accepted as self-evidently true, used as a starting point from which other truths are derived without itself needing proof
from From Greek 'axioma,' meaning 'that which is thought worthy or fit,' built on the verb 'axioun,' 'to deem worthy,' from 'axios,' 'worthy.' So an axiom is literally a proposition deemed worthy of belief on its own merit. It entered English in the 16th century by way of Latin, carried in particular by mathematicians and logicians who needed bedrock to build on — the worthy assumption you grant before the arguing begins.
- greek root
- means that which is thought worthy or fit
- euclid's gamble
- all geometry built on five unproven assumptions
- parallel rebel
- doubting one axiom birthed non-Euclidean geometry
- gödel's blow
- proved no axiom set can prove everything true
- choice drama
- one axiom split mathematicians into rival camps