Sentence examples for that proofs from inspiring English sources

Working mathematicians generally ignore the possibility that proofs they are pursuing are impossible.

Ramanujan's mentor GH Hardy (Irons) is an atheist and rationalist, exasperated that this Indian prodigy cannot produce proofs for his work and, worse, is doubtful that proofs can explain the inexplicable.

In addition, Proclus also held that proofs by contradiction were not demonstrations "of the reasoned fact".

It is clear that proofs are obtained by apply the necessary manipulations in Example 16.

Meanwhile, it has become standard in many sub-fields in programming language that proofs must be machine-verified.

Also note that proofs in Sect. 4 require that the hyperbolic operators are formally self-adjoint.

"They responded in saying that proof was insufficient".

But the latest polling does not offer that proof.

Mad Madridista Tomás Roncero had declared that proof that Madrid were better.

So far, that proof hasn't emerged.

"Is that proof of anything?" Baraybar said.