The reason for this rests in the fact that the sort of proof, employed in Lemma 3 below, fails to work without assuming that q* is continuous up to an at most countable set of points, something that is implied in the monotonicity constraint when q turns out to be a scalar.
"That brings into the picture the sort of proof of concept that these drugs can cause cognitive disturbances in juvenile animals," Dr. Rappaport said.
An early version of such an argument can be found in Augustine and the Neo-Platonic tradition, but the canonical presentations of this sort of "possibility proof" are in Leibniz's Monadology (1714) and, much more elaborately, in Kant's book-length treatise called The Only Possible Basis for a Demonstration of the Existence of God (1763).
On the other hand, some philosophers have been dissatisfied with this sort of "existential proof" and have argued instead that all talk that seems to involve explicit or implicit reference to or quantification over events can be paraphrased so as to avoid the commitment.
For us, this is a sort of proof not only that our new wave is important, but that we have succeeded in setting up an event significant enough that Lincoln Center wants our public to go there".
For now, we just have to assume this is a sort of proof of concept — along with the fun little fox walking guy the company trotted out that had shades of a certain Johnny coyoteoicoyoteyote.
No word on how much the app wItl cost or if anyone – and I mayn anyone – will buy it.
This sort of study provides proof-of-principle that the functional anatomy of epilepsy can be characterized in single subjects.
Putin's spokesman, Dmitry Peskov, told journalists: "At this point they need to either stop talking about this or finally present some sort of proof".
The set of valid Σ-1-2 sentences in the language of equality is also computably isomorphic to the full V², but this fact requires a different sort of proof.
