Sentence examples for in terms of proposition from inspiring English sources

In terms of Proposition 2.1, we remark that if and for any then the solution of (HIE) exists and is unique in (3.71).

In terms of Proposition 3.4, we know that u, u ˆ ∈ ⋂ n = 1 ∞ Fix ( S n ) ∩ Γ. Meantime, according to Proposition 3.3(i), we also know that there exist both lim n → ∞ ∥ x n − u ∥ and lim n → ∞ ∥ x n − u ˆ ∥.

This transformation stands for internal structures of representations in terms of propositions.

For Bolzano, the use of genuine sentential forms is just a convenient linguistic procedure yielding results which can be interpreted in terms of propositions.

Putting the case in terms of propositions rather than facts, such a case, in his view, is one 'in which the truth of a proposition depends on its subject matter and vice versa' (2005: 22).

(A version of this type of reconstruction was first presented by Arthur Prior (Prior 1955).) The Epictetus passage suggests that the argument was presented in terms of propositions and their modalities, and so will the reconstruction.

8. Strictly speaking, Brouwer there considers not correctness and absurdity of propositions as such but of properties of a mathematical system; later (1949C, 1245 1981A, 12), he gives the argument directly in terms of propositions (which he there, somewhat unfortunately, calls "assertions").

A dialetheia is a sentence, A, such that both it and its negation, ¬A, are true (we shall talk of sentences throughout this entry; but one could run the definition in terms of propositions, statements, or whatever one takes as one's favourite truth-bearer: this would make little difference in the context).

Many emotions are specified in terms of propositions: one can't be angry with someone unless one believes that person guilty of some offense; one can't be envious unless one believes that someone else has something good in her possession.

\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\square $$\end{document □ We rewrite now the characterization provided by the previous proposition in terms of triples (Proposition 5) and clusters (Proposition 6).

But the argument in question cannot be set out in terms of the proposition that, we can suppose, does in this case represent one's total evidence namely, the proposition that there is a pen in my pocket since that proposition is not entailed by \(\negt G\).