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If the truth conditions of counterfactuals are understood in terms of possible worlds, it is easy to see how beliefs about what is observable entail commitments to the existence of such worlds.
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Likewise, if bound first-order variables are assumed to range over sets (as they do in set theory), a commitment to the existence of these sets is incurred.
German leaders find it very difficult to criticize Israel because of the responsibility Germany bears for the Holocaust and their commitment to the existence of the state of Israel.
Because the aim of science is to achieve correct predictions about observables, there is no need to assume the extra risks involved in commitment to the existence of unobservables.
So how can a commitment to the existence of fusions be ontologically innocent?
So, it is the nominalist's burden to show how to interpret mathematics without the commitment to the existence of mathematical objects.
Since they carry no commitment to the existence of A, the judgement 'The Loch Ness monster lives in Scotland' can be true on such an interpretation.
Plato agrees: he regards a commitment to the existence of propositions as evidence of Platonism, acceptance of the claim that abstract objects (and plenty of them) genuinely exist.
The core idea at stake in debates over reduction is that commitment to the existence of the reduced properties should constitute no ontological commitment 'over and above' commitment to the reducing properties.
After all, a framework to interpret the use of mathematics in science is provided, and in terms of this framework the application of mathematics can be accommodated without the commitment to the existence of the corresponding objects.
It may be that descriptions of experience like this involve a commitment to the existence of things outside the experience; but surely it is possible to describe experience without this commitment?
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com