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6. Mathematics / C. Sources of Mathematics / 3. Mathematical Nominalism

[denial of the real existence of mathematical objects]

5 ideas
Nominalism about mathematics is either reductionist, or fictionalist [Bostock]
Nominalism as based on application of numbers is no good, because there are too many applications [Bostock]
Nominalists try to only refer to physical objects, or language, or mental constructions [Field,H]
A nominalist can assert statements about mathematical objects, as being partly true [Yablo]
Maybe number statements can be paraphrased into quantifications plus identities [Tallant]