Sentence examples for logical notion from inspiring English sources

The tenability of logicism been disputed on multiple grounds, the most prominent of which has been that the notion of membership fundamental to the theory of sets is not a logical notion but rather a symbol that must be added to first-order logic to formalize what is properly understood as a non-logical theory.

It was - like all the best ideas - a bright, logical notion.

Nock's refusal to accept any wisdom that can't be tested, including the seemingly logical notion that simply getting more suicidal people into treatment would solve the problem, has put him at odds with clinicians who believe their methods work and that questioning those could cost lives.

First, a legal definition is hindered by the logical notion that one is ascribed the status of being a political prisoner only after capture; prior to that, potential political prisoners may be considered dissidents, revolutionaries, social reformers, or radical thinkers, depending upon the nature of their activities and how their activities are interpreted.

For Chisholm, entailment is not a merely logical notion.

Deborah Rosen, for example, develops a "logical notion of the memory trace", distanced from the "scientific notions for which the logical notion provides only a philosophical underpinning" (1975, p. 3).

Instead, he defined the basic notions of "number", "successor" and "0" and proposed to show, with carefully chosen definitions of their basic notions in terms of logical notions, that those axioms could be derived from principles of logic alone.

It presents a system of symbolic logic and then turns to the foundations of mathematics to carry out the logicist project of defining mathematical notions in terms of logical notions and proving the fundamental axioms of mathematics as theorems of logic.

But bright, logical notions have their own pull.

There Russell argued that the whole of mathematics could be derived from a few simple axioms that made no use of specifically mathematical notions, such as number and square root, but were rather confined to purely logical notions, such as proposition and class.

All these interstratal one-many or many-one relations are then analyzed in terms of the logical notions of conjunction and disjunction (AND-relations versus OR-relations), of ordering (x precedes y in an AND-relationship, x is selected in preference to y in an OR-relationship), and the directionality ("upward" towards meaning, or "downward" towards sound).