the.com/paradox

a sentence so true it lies, so logical it breaks the rules that built it

means a statement or situation that seems to contradict itself yet may be true, or that defies intuition by holding two incompatible truths at once.

from From Greek 'paradoxon,' a thing contrary to expectation — built from 'para' (beside, beyond) and 'doxa' (opinion, belief). So at root a paradox is what stands 'beside belief,' just off to the side of what we expect to be true. It came into English through Latin in the 16th century.

liar's loop
This statement is false crashes every system of logic
Russell's blow
A paradox forced mathematics to rebuild its entire foundation
twin proof
Travel near lightspeed, return younger than your sibling
word origin
Greek for beyond belief, against opinion
useful break
Quantum particles exist in contradictory states until measured
for instance

grandfather paradox — time travel thought experiment where you kill your grandfather before your parent's birth, so you couldn't exist to travel back

liar's paradox — ancient logical puzzle: the statement 'this sentence is false' creates self-referential contradiction

zeno's dichotomy paradox — ancient greek paradox: to travel anywhere, you must first travel half the distance, then half of what remains, infinitely

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