Therefore (13) does not assert the existence of any "set-like" entity over and above the sets in the range of the quantifier ∀x.
Ironically, the best evidence for high CO2 is that we simply cannot explain what kept the Earth from freezing over during much of this time, when the sun shone less brightly than today, unless we assert the existence of a powerful greenhouse effect.
The same analysis of subtle markers has been used to assert the existence of a single prehistoric Adam, a human who had a subtle mutation in the Y chromosome whose descendants left their compatriots in Africa and populated the rest of the Earth, possibly then returning to Africa as well.
Atkinson, however, tied this goal to a need to assert the existence of a general shortage.
If has continuous derivatives, then one can assert the existence of a representation (2.2) with.
Finally, Luitzen Brouwer developed intuitionism, whose basic idea was that one cannot assert the existence of a mathematical object unless one can define a procedure for constructing it.
With an adjustment of the method of Lemma 3.1, we can assert the existence of a function (g_{2}in Y) such that (Delta _{2}(g_{2})=1).
For example, just as the principles in (P.12ξ,i) assert the existence of a minimal underlapper for any pair of suitably related entities, one may at this point want to assert the existence of a maximal overlapper, i.e., not a "sum" but a "product" of those entities.
Nor is it about some totality A: it asserts simply of each and every A that it is B. And although it does not directly assert the existence of A, it certainly presupposes it.
On the other hand, by the condition (i), and the fact that K is a compact convex subset of Y, we can apply Lemma 1.5, in this case that I = { 1 }, to assert the existence of a fixed point u ∗ ∈ D ( u ∗ ), we have Q ( u ∗ ) ∩ D ( u ∗ ) = ∅.
Why would a major figure in the U.S. intelligence community assert the existence of a major threat that requires the U.S. intelligence community to be given major new powers over an unprecedented human institution?
