Field's fictionalism demonstrates that classical mathematics can be conservatively dispensed with for physical applications, so preserving 'current mathematical practice' is not a decisive philosophical constraint.
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Philosophical constraint(as a factor some philosophers consider important but Field's view challenges)
A requirement or limitation that philosophers think should guide how we answer a question or develop a theory.
Physical applications(as the practical uses that would still work without mathematics)
Using mathematics or theories to solve real-world problems in science, engineering, and physics.
fictionalism(Response to the platonist singular term argument)
The view that sentences entailing the existence of properties or relations are not literally true because no such things exist, though they may still be used colloquially to make essentially accurate claims about the world