Sentence examples for need propositions from inspiring English sources

Induction of partial identities starts from a certain premise in disjunctive form A = B ·|· C ·|· D ·|· … ·|· P ·|· Q, and then we need propositions that ascribe a certain property to all individuals: B = BX, C = CX, …, Q = QX.

As a main tool, we need Proposition 1 of Kim [5].

For proving the results, we need Proposition 2.1 on monetary utility functions.

We need the propositions of averaged mappings and inverse strongly monotone mappings.

Due to his conception of logic, Bolzano was "in need" of propositions and ideas and therefore postulated that there are such genuinely logical objects.

As Mr Mockler says, the need for Proposition 111 arose only because of Proposition 98, and the need for 98 arose only because of 13.The unintended consequence of that overall bundle has been to invert the stated purpose of Proposition 98. Originally designed to be a floor under school financing, it has instead become a ceiling.

To see this we need another proposition.

I need some further proposition or propositions that will establish an appropriate link or connection between past and future, and take me from (1) to (2) using either demonstrative reasoning, concerning relations of ideas, or probable reasoning, concerning matters of fact.

Price tells us that a self-evident proposition is immediate, and needs no further proof, and goes on to say that self-evident propositions need only be understood to gain assent 1758/1969, 187).

Negation of a predicate in a proposition presupposes the existence of the subject of the proposition, whereas negation of the entire proposition need not rest on such a presupposition.

Different value propositions need to be marketed to different groups.