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Statements as Propositions


I posit, with regard to truth, propositions (which I assume to be synonous with statements, for our purposes) can be assigned the values:
-true or false
-determinate or inderterminate
-undetermined

A statement that is determinate is exclusively true or false. An indeterminate statement is neither true nor false. An undetermined statement may or may not be either true or false. It may also be possible for some or all propositions to be necessarily or accidentally underdetermined, such that they can possess all the aforementioned properties (to speak loosely and without reference to metaphysics), at least when treating the set of all possible (rational?) translations or translation schemes (assuming such a set may be actualized at once).

The questions, then, are as follows. Can you think of any other possible values with respect to truth which may pertain to propositions? Do you agree with my above position? Any general thoughts?

I know a few of you who sometimes peruse this site have an interest in philosophy, so, having read this, your silence is not an acceptable response. Get to typing.

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