Peirce said nothing about the reasons for and merits of his departure from the traditional semantic assumption of existence.
If we consider now the space, then the assumption of existence of a -convergent subsequence for every sequence in can be removed and we can state the following result.
Observe that if our base relation is (11), then the LS-BLMP can be characterized by the joint survival function specified by (12), without the assumption of existence of hazard gradient vector R(x 1,x 2) as in Theorem 2. Applying the Sklar's theorem to (12), one can obtain the survival copula corresponding to the class (mathcal {L}(mathbf {x};mathbf {a})), see Pinto and Kolev (2015a).
The assumption of local existence implies that there exists a (i-i -solution X 0 ( t ) on [ c Z, c Z + δ ), δ > 0. Defi-i -solution = { Z 0 ( t ) for t ∈ [ t 0, c Z ], X 0 ( t ) for t ∈ [ c Z, c Z + δ ).
The assumption of local existence implies that there exists a (i -solution X 0 ( t ) on [ c Z, c Z + δ ), δ > 0. Defi -solution ) = { Z 0 ( t ) for t ∈ [ t 0, c Z ], X 0 ( t ) fon t ∈ [ c Z, c Z + δ ].
But everything indicates that their existence not only cannot be disproved, but in fact the assumption of their existence is a very reasonable axiom of set theory.
In a letter to Borel, Hadamard makes it clear that the opposition in question is really that between the assumption of the existence of an object which is fully described, and of the existence of an object which is not fully described (see Hadamard et al. 1905, esp. 262).
Then we compute the Malkin bifurcation function associated to this integral operator and we provide conditions under which the well-known assumption of the existence of a simple zero of the Malkin bifurcation function guarantees the existence of the branch.
Without the assumption of the existence of lower and upper solution and the monotonic properties of f ( t, x ), we obtain not only the existence and uniqueness of solutions for the problems, but also we establish iterative schemes for uniformly approximating the solutions.
A fundamental concept in Buddhist metaphysics is the assumption of the existence of dharmas, cosmic factors and events that combine momentarily under the influence of a person's past deeds to form a person's life flux, which he considers his personality and career.
Now, we give a result under the assumption of the existence of a lower solution.
