Sentence examples for sets of premises from inspiring English sources

This idea has been generalized by considering arbitrary preference relations between models of sets of premises.

The difference between lΛ and gΛ lies in the consequences they allow to draw from nonempty sets of premises.

Observe that such a P will be adequate for deductions from arbitrary sets of premises (of cardinality ≤ κ) in the sense of §2.

The political arrangements of the Republic are entailed by, and are consistent with, many different sets of premises, some of which are mutually inconsistent.

"Stream of Thought:Search, Selection, and Content Preservation in Reasoning" Abstract: Reasoning is central to much human cognition, but theories of reasoning are typically focused on immediate transitions such as inferring particular conclusions from sets of premises.

Thus, if we can show that a given language is not (weakly) κ-compact, then there can be no deductive system for it with deductions of length < κ adequate for deductions from arbitrary sets of premises (of cardinality ≤ κ).

Suppose, that is, you have a set of premises and a putative conclusion.

But most of the protesters are working from a much different set of premises.

As one set of premises are assumed, the other becomes problematic.

Reasoning consists of the derivation of inferences or conclusions from a set of premises by means of the application of logical rules or laws.

A set of premises preferentially entails A if and only if A is true in all the models that preferentially satisfy the premises.