Some genuine semanticpresuppositions fail the contradiction test, suggesting cancellability is neither necessary nor sufficient for distinguishing semantic from pragmatic content.
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necessary and sufficient conditions(in philosophical analysis)
A 'necessary' condition is something that must be true for something else to happen; a 'sufficient' condition is something that guarantees it will happen. This phrase describes what must be true (and what's enough) for a definition to apply.
semantic content(Cappelen and Lepore's literalist/minimalist framework)
Propositions determined solely by conventions of meaning, precisification, disambiguation, and reference fixing — not by pragmatic inference.