On each site involved in the execution of the composite operation, a local reference monitor is in charge of checking the validity of the proofs of authorization used for each elementary operation.
Traditionally, for nonfeminist philosophers, the tendency to assimilate questions about religion to questions about "belief in the existence of God" has led down a slippery slope that transformed philosophical reflection about religion into reflection on the existence of God, the rationality of belief, the validity of the proofs, and the coherence of the divine attributes.
So, the onus is in the verification of results, whether produced by machine or man, and checking them by independent parties (where of course the effort may well use automated checkers) should increase the confidence on the validity of the proofs.
When a new mathematical conjecture is proven, there may be initial debate as to the validity of the proof but upon community validation, the debate ends.
Popper's emphasis on refutation and denial of the validity of scientific proof (in contrast to mathematical proof) stems from his obsession with general theories.
If we consider the presence of noise in (1), the addition of the term to of (2) will destruct the validity of theoretical proof in [1].
Notice that in the proof of Proposition 1, we can loose our condition for the lower bound λ r ≥2ε to≥2γ 1 to λ r ≥2ε th≥2γ r without affecting the validity of the proof.
It needs to flow from one statement to the other, with support for each statement, so that there is no reason to doubt the validity of your proof.
Although he does not deny the validity of a posteriori proofs of the existence of God, he affirms that an a priori method is more satisfactory because it sets off from the idea of being, the foundation of his philosophy, and argues to the necessity of God's existence.
At year's end the jury remained out on the validity of the new proof.
