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This is quite distinct from the proof by similarity of triangles, which is conjectured to be the proof that Pythagoras used.
They cried fraud, though without proof.
They are accusations without proof.
That suffices without proof or evidence.
We give it without proof.
Traditional religions require belief without proof.
CALM Conjecture: a proof and a refutation.
Although it was crucial to the growth of the field of topology, Poincaré's conjecture resisted proof for a century.
We present a partial proof of (3.1) (see Lemma 3.1, below) and leave as a conjecture the proof of (3.2).
We conjecture (but have no proof) that for every initial trajectory of A there are some, and generically many, multiple ball continuations.
Kelvin conjectured that his solution was the best possible one, although he offered no mathematical proof.
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