Sentence examples for provable by from inspiring English sources

Graham last spoke with Memo on the phone in approximately 1997.'' Mr. Heredia testified that Mr. Graham strongly encouraged some of his athletes to take performance-enhancing drugs and had personal contact with him, provable by photographs.

Hume was greatly impressed by the recent news that nature operated according to laws provable by repeated experiment; he must have feared that the uncritical acceptance of Biblical miracles put at risk our ability to distinguish truth from falsehood.

Is the IVT for functions in an O-minimal structure on the reals provable by visual means?

It is provable by the infrared spectroscopy of CdSe powders obtained by evaporation of the colloidal solution of xylene.

It is to be noted that AC1 and CAC for finite collections of sets are both provable (by induction) in the usual set theories.

Also note that neither is ¬Con(P) provable, by the consistency of P and the fact, now known as Löb's theorem, that P ⊢ Prov implies P ⊢ φ.

Some TB cases could have also been clinically diagnosed and recorded in the ClinSurv HIV Cohort (yet was not provable case-by-case), because these TB cases are also mandatorily notified within the German TB surveillance.

But why should a → b, if it has not yet been proved, become provable just by establishing ¬a? (Johansson asked this in a letter to Heyting of September 23 , 1935 [28 the matter will be discussed in a future update of this entry).

And I am not doubting Tryon's description how or if this happened, but as I said, I am trying to focus only on provable facts by publication.

Thus, we give an alternative NP-completeness proof and, more importantly, we are able to solve large instances of this problem in reasonable computation time to provable optimality by an ILP approach for the transformed problem.

The difference between the two notions of provability: "provable in a given formal system S" and provability by any correct means — manifests itself as a consequence of Gödel's Second Incompleteness Theorem, as follows.