But in 1879 two American mathematicians proved that only one-half of all possible initial arrangements, or about 10,000,000,000,000, admitted of a solution.
Williams was almost alone in his time in holding not only that the problem does admit of a solution, but in presenting a novel solution of his own.
Once one accepts that a "reality" predicate is needed to characterize ontological commitment, a puzzle about the logic of ontological commitment admits of a natural solution.
Frigg and Reiss argue that whether a model admits of analytic solution or not has no bearing on how it relates to the world.
To find a spacetime in which the philosophical problem posed by bifurcated supertasks admits of the simple solution that has just been mentioned, we will move from the flat spacetime of special relativity to the curved spacetimes of general relativity.
Early in the paper, Stone reveals the sort of person (and analyst) he is as he looks with a kind of sorrowing wonder at the flourishing psychoanalytic scene of New York in the nineteen-fifties (today wistfully referred to as "the heyday of psychoanalysis"), when "scarcely any human problem admits of solution other than psychoanalysis".
(Tappenden (1993) suggests a very similar three-valued approach which also appeals to context to explain the apparent truth of the universally quantified premise, but the use made of context here is subtly different from that of Kamp's and Soames'.) The conditional sorites also admits of solution.
There is then a paradox in the notion of perceiving an event as occurring after another, though one that perhaps admits of a straightforward solution.
You must agree that while we may want to stay the course, we simply can't, because the inner problems of Iraq do not admit of any solution other than the imposition of a new authoritarianism, the very thing we went to war to eliminate.
We show that a class of semidefinite programs (SDP) admits a solution that is a positive semidefinite matrix of rank at most r, where r is the rank of the matrix involved in the objective function of the SDP.
Some things, undoubtedly, were made justifiable which were not known as such at the common law; such, for example, as controversies between states as to boundary lines, and other questions admitting of judicial solution.
