Sentence examples for exists a present from inspiring English sources

Yet surely the utterance is not barred from counting as an assertion, and surely the speaker, if she falsely believes that there exists a present king of France, can believe that he is wise.

By appealing to analysis (1′′), it follows that there is a way to deny (1) without being committed to the existence of a present King of France, namely by changing the scope of the negation operator and thereby accepting that "It is not the case that there exists a present King of France who is bald" is true.

There exists a finitely presented group with undecidable word problem that belongs to the variety ({mathcal A}_p^2{mathcal A}cap mathcal {ZN}_3mathcal {A}).

By (iv) above, there exists a finitely presented group (F) and a perfect normal subgroup (P) of (F) such that (F/P) is isomorphic to (E).

For any prime (p), there exists a finitely presented soluble group G with centre ((C_p)^{ infty )}), an infinite direct sum of cyclic groups of order (p) (see [103], as well as [104, Lemma 4.14]).

For every recursive function g(n) there exists a finitely presented residually finite solvable group G of class 3 such that the Dehn function of G is bigger than g(n).

For every recursive set of natural numbers X and every recursive function g(n) there exists a finitely presented residually finite semigroup S such that the depth function of S is bigger than g(n).

One of our main results is the following theorem (an immediate corollary of Theorem 4.21 below): For every recursive set of natural numbers X there exists a finitely presented residually finite solvable group G of class 3 such that the word problem in G is as hard as the membership problem in X.

(vi) For any (n ge 1) and any rational polyhedral subset (P) of (mathbf S ^{n-1}), there exists a finitely presented group (G) with (S G) approx mathbf S ^{n-1}) and a homeomorphism (p^* : mathbf S ^{n-1} longrightarrow S G)) such that (Sigma ^1(G) = p^* (S G) backslash P)).  .

For every recursive set of natural numbers X and every recursive function g(n) there exists a finitely presented residually finite solvable of class 3 group G such that the word problem in G is as hard as the membership problem in X and polynomially reduces to it; the Dehn function G is bigger than g(n).

For every recursive set of natural numbers X and every recursive function g(n) there exists a finitely presented residually finite semigroup S such that the word problem in S is as hard as the membership problem in X and polynomially reduces to it; the Dehn function S is bigger than g(n).