The other was the 'inflationary' approach, which posited entities corresponding to all statements, thus 'creating' or asserting the existence of things that (Berlin believed) didn't exist at all.
(A numerical sentence is a first-order sentence asserting the existence of some objects. For example, the numerical sentence that there exist at least two objects is: ∃x∃y(x ≠ y).) If van Inwagen is correct, it is indeterminate whether or not the relevant numerical sentence is true, in which case one of the constituent expressions—'∃', 'x', 'y', '~', '=' must be vague.
Erin and Abby, childhood friends, co-authored a book, "Ghosts from Our Past," asserting the existence of ghosts.
When the New Wave quoted Fuller or Hitchcock, they were both asserting the existence of a school and suggesting that it was cutting-edge.
He seemed deliberately to seek an antique religious aura, asserting the existence of moral absolutes in an era that doubted them.
It restricts that principle, however, in two ways: (1) Instead of asserting the existence of sets unconditionally, it can be applied only in conjunction with preexisting sets, and (2) only "definite" formulas may be used.
If the Axiom of Infinity is reformulated to assert the existence of Vω , then the ranks proved to exist as sets by Zermelo set theory are exactly those which appear in the natural model Vω+ω of this theory.
This shows that for a solid sphere there exists (in the sense that the axioms assert the existence of sets) a decomposition into a finite number of pieces that can be reassembled to produce a sphere with twice the radius of the original sphere.
Several studies have asserted the existence of a strong and complex genetic component.
To overcome this difficulty, implicit function theorem is firstly exploited to assert the existence of the continuous desired virtual controls.
In application to matters of ontology, realism is standardly applied to doctrines which assert the existence of entities of some problematic or controversial kind.
