All language is incomplete, so intuitionistic logic treats it as partial construct. "It's not NOT snowing" is no reason to say it's snowing.
Though, Intuitionism isn't the only or necessarily the best way to accomplish this.
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What I'm really trying to get at is, there's a fine distinction to be made about how we're using language; what we're trying to claim.
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The extent to which we're talking about "the real" vs constructed linguistic relations.
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The meaning is up to social convention, but it's not like we expect social convention to get it right.
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