(Roughly, the idea is to begin with the sum as it would exist if every element of the set were a definite part of it, and then calculate the actual degree of existence of the sum as a function of the degree to which each element of the set is actually part of it).
Van Inwagen (1990: 228) takes this to be a rather obvious consequence of the approach, but N. Smith (2005: 399ff) goes further and provides a detailed analysis of how one can calculate the degree to which a given non-empty set of things has a sum, i.e., the degree of existence of the sum.
The best of these stories confirm Bolaño's ideal of literature as a voyage to the zero degree of human existence, to the abyss, as Baudelaire, another of his heroes, would call it, where we lose the self in order to find it again.
The traditional readings of the Tractatus accepted, with varying degrees of discomfort, the existence of that which is unsayable, that which cannot be put into words, the nonsensical.
The captain of this quixotic craft, mourning a lost mistress, methodically keeps himself semi-inebriated; the boat's mechanic is a silent Indian; and the pilot's "features, gestures, voice, and other personal traits have been carried to so perfect a degree of non-existence that they can never stay in our memories".
The results of numerical simulations for the two-degree-of-freedom nonlinear equation exhibit the existence of the period, multi-period and chaotic responses with the variation of the excitations, which demonstrate that those motions appear alternately.
Indeed, on the way to a final device, a whole series of specification/artifact pairs of varying degrees of abstractness come into existence.
By using various methods and techniques, such as polar coordinates, the method of upper and lower solutions and coincidence degree theory and a series of existence results of nontrivial solutions for the Duffing-type equations such as (1.3) have been obtained; we refer to [5 11] and references therein.
The existence of degrees of excavation difficulty allows us to specify the needs of mechanisms for earthworks.
