Sentence examples for restricted comprehension from inspiring English sources

The limitation of size conception motivates other axioms better (such as the restricted comprehension axiom).

Suppose, then, that we count individual identity properties like being identical to A as nuclear properties, those properties entering the range of Parsons's restricted comprehension principle.

In what remains of this section, I survey these problems and distinguish different versions of Meinongianism in terms of the devices employed to develop a restricted comprehension principle for objects that avoids them.

Whereas Parsons distinguishes different kinds of properties, restricting the comprehension principle to only nuclear properties in the hope of thereby avoiding the problems plaguing the naive comprehension principle, Zalta distinguishes two different modes of having a property for the same effect.

On the other hand, there have been many suggestions for restricting the Comprehension Principle for Concepts.

One simple solution is to restrict the comprehension principle to total conditions.

Restricting the comprehension principle to the properties encoded also promises to avoid the other threats of contradiction presented above.

Indeed, concerning naïve comprehension, it is known since the seventies (Malitz 1976) and the eighties (Weydert 1988, Forti and Hinnion 1989) that there exist nice topological models of extensionality and non-uniform naïve comprehension restricted to generalized positivity conditions.

Given the inconsistency of unrestricted comprehension, the objective becomes to find a way to restrict either the comprehension principle itself or the underlying logical principles to regain a consistent theory, that is, a set theory that will not be trivialised by Russell's paradox.

Further, the comprehension axiom is restricted so that the condition defining a set of a type of order n can contain parameters only of types with order ≤ n and quantifiers only over types with order < n.

The special axioms vary, but the basis normally includes the principle of extensionality and some restricted form of the principle of comprehension, or some elements from which these can be deduced.