Sentence examples for a weaker principle from inspiring English sources

The problem with this justification is that it establishes a weaker principle than Strong Convexity.

Here we will focus on a weaker principle that addresses the kind of justification we can get from perceptual experiences: Epistemology-Mind Link8 If experiences sometimes deceive us, then experiences at best give us inferential justification for beliefs about the external world.

Those who wish to retain (2) may be consoled by the following observation: though substitutivity salve veritate of co-extensive open formulas fails for nearly all free logics, a related but weaker principle, the substitutivity salve veritate of co-comprehensive open formulas, is valid for positive free logics.

Thus, (LIV) amounts to the assumption that there is a finite number of generator properties, and the weaker principle (LIV*) to the assumption of positive probability, in any case of interest, that the number of relevant generator properties is finite.

The unrestricted principle of comprehension is then replaced by the weaker principle that for every condition there is a class the members of which are the individuals or sets that fulfill that condition.

This was first pointed out by Patrick Maher (2002), who noted that Joyce's justification in fact motivates the following weaker principle: Weak Convexity Suppose \(\mathfrak{I}\) is a legitimate inaccuracy measure.

The difference becomes important if proponents of the weaker principle also allow that syntactic rules may have context-dependent meanings.

In support of taking Descartes to be employing the weaker principle that includes the fourth condition, it could be pointed out that, at least at this early point in the Meditations, Descartes does have a reason for thinking that whatever is causally responsible for his "state of being," is not sufficiently "perfect" so as to have made that equipment reliable.

But this seems like a very weak principle: it seems likely that at least some other reason will frequently apply.

Based on a Hamilton's weak principle, this method provides a simple and efficient approach for predicting all possible fundamental and sub-periodic responses.

A weak maximum principle is presented along with an efficient computational algorithm for synthesizing the optimal policies.