The phrase "analysis of the proposition" is correct and usable in written English.
It can be used in contexts where you are discussing the examination or evaluation of a specific statement or argument.
Example: "The analysis of the proposition revealed several logical fallacies that needed to be addressed."
Alternatives: "examination of the statement" or "evaluation of the claim".
This approach is also evident in Valla's analysis of the proposition of which a syllogism or argument consists.
This was the case with his analysis of the proposition 'The Antichrist is not, but he will be'.
Having presented the theoretical background of the model, we are now in a position to conduct an empirical analysis of the proposition of balanced versus unbalanced growth strategies.
In this case, it might seem that the ordinary language statement is sufficiently vague that there is likely no one precise or unambiguous proposition that represents the "correct analysis" of the proposition.
For discussion, see Maurizio Ferriani, "Peirce's Analysis of the Proposition: Grammatical and Logical Aspects," in D. Buzzetti and M. Ferriani (eds).: 1987, Speculative Grammar, Universal Grammar and Philosophical Analysis of Language, John Benjamins, Amsterdam-Philadelphia. 23.
In his analysis of the proposition 'Socrates is not a chimera' he followed what he called 'the Parisian method', according to which the proposition is false because the term 'chimera' supposits for nothing, there being no real chimeras to which it can refer.
In the evaluation of the data, an extensive qualitative analysis of the propositions in the concept maps and statements in the questionnaire were made.
And yet there would seem to be no satisfactory analysis of this proposition on the assumption that 'a' names a contingent simple — no analysis, that is to say, that is both intrinsically plausible and compatible with Tractarian principles.
Despite conventional wisdom, comprehensive analysis of the value proposition for increasing vaccine thermostability has been lacking.
(PR, 52) {§6.5} a mathematical proof is an analysis of the mathematical proposition.
It pursues into the last recesses of analysis the proposition that the fundamental principle that should govern our politics is equality.
