This strategy clearly shows that Brouwer's operative explanation of the meaning of A → B was a version of clause (H3) of the Proof Interpretation as formulated in the Introduction, if we understand "proof" in that clause as "demonstration".
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A direct proof for this scenario may be impossible; however, if the mechanisms of cellular growth arrest at distant sites are better understood, indirect proof could come from therapeutic intervention by keeping the cells in check and thereby reducing metastasis.
Basic research methods and statistics were taught in order to ensure that students understood scientific proofs.
Likewise, "Even John can understand this proof" is true when John can understand this proof, but inappropriate when John is a world-class logician.
But it made many mathematicians uneasy; they worried about computer bugs and wondered how they could check or understand a "proof" they could not see.
In his spare time, he reads mathematics textbooks ("a sort of Mount Everest achievement would be to understand the proof of Fermat's last theorem," he said) and programs computers.
To help understand the proof, we provide an example here.
On the stand, the defendant was unable adequately to recite the Lord's Prayer, understood to be proof of guilt.
This complaint falls far short, as Quine well understood, of a proof that Carnap's appeal to analyticity was doomed.
