The phrase "a proposition may be" is correct and usable in written English.
It can be used when discussing the potential nature or characteristics of a proposition in a philosophical, mathematical, or logical context.
Example: "In logic, a proposition may be true or false, but not both at the same time."
Alternatives: "a statement could be" or "an assertion might be".
Although a proposition may be evident to one person but not to another, it could not be self-evident to one person, but not to another.
Now suppose that in intuitionistic logic, a proposition may be true (p holds), false (¬p holds), or have a third truth value (p′ holds).
Now if X is a set of propositions then its elements may be assigned their degree of truth, which may be "absolutely true," "absolutely false" or some intermediate truth degree: a proposition may be more true than another proposition.
And, evidently, on either type of A-theory a proposition may be true at one time, but not true at another, depending on what facts exist at the time.
Realism about truth involves acceptance of the principle of bivalence (according to which every proposition is either true or false) and the principle of transcendence (which says that a proposition may be true even though it cannot be known to be true).
Such a proposition may be most relevant to populations undergoing the most rapid socioeconomic development, such as Asia.
There he speaks of the universe as an "old Two-face…of which any proposition may be affirmed or denied" (CW3: 144).
As different possibilities are live in different conversational settings, a different proposition may be expressed by "If A, B" in different conversational settings.
A single proposition may be true with respect to one circumstance of evaluation and false with respect another.
A false proposition may be made either worse or better by strengthening (~w is the same distance from the Truth as ~h; h&r&~w is better than ~w while ~h&~r&~w is worse).
Given the distinction between (A) having reason to think a certain proposition is true, and (B) having reason to induce belief in that proposition, taking steps to generate belief in a certain proposition may be the rational thing to do, even if that proposition lacks sufficient evidential support.
