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It is not the case that A sentence can be 'strictly speaking untrue' as a literal assertion yet still express a true proposition under a paraphrase that eliminates abstract reference.
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Reasons For
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1.
If a sentence is 'strictly speaking untrue,' it cannot simultaneously express a true proposition—truth-value is not variable based on reformulation; paraphrase invokes different content.
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2.
Paraphrase always involves interpretation and potential meaning-shift. Claiming elimination of abstract reference achieves the 'same truth' presumes the paraphrase is faithful without independent justification.
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3.
This framework allows any false claim to be deemed 'true under paraphrase,' collapsing the distinction between truth and utility, and threatening to make truth-claims metaphysically weightless.
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Reasons Against
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Reason against
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1.
Nominalist paraphrases successfully convert abstract claims (e.g., 'numbers exist') into concrete ones ('it's useful to quantify over numerals') without loss of truth-value.
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2.
Ordinary language often compresses complex concrete facts into abstract-sounding forms for communicative efficiency, suggesting the abstract phrasing masks rather than contradicts underlying truth.
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3.
If two sentences express identical empirical consequences and conceptual content, rejecting one as 'untrue' while accepting its paraphrase is merely verbal, not substantive.
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