If semantic facts about mathematical language can entail ontological conclusions, then the dispute between platonism and fictionalism cannot be characterized as purely ontological without remainder.

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Entail(In logical reasoning and argumentation): To logically follow or guarantee as a necessary consequence; if something is true, what does it force to also be true?
Ontological: "Ontological" refers to questions about what actually exists or is real. It's concerned with the fundamental nature of being—asking "What kinds of things are there?" rather than "How do we know about them?" For example, an ontological question might be whether numbers, ideas, or God actually exist as real things, or if they're just human inventions.
Semantic facts(what classical semantics posits): Facts about what words and sentences actually mean or refer to in the world.
Without remainder(describing complete explanation): Completely and totally, with nothing left over or unexplained.
fictionalism (mathematical fictionalism)

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