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I offer three objections to mathematical and moral realism, according to which we know, respectively, that some mathematical and moral statements correspond to mathematical and moral facts in the abstract world. I also offer three objections to mathematical and moral fictionalism, according to which there are no mathematical and moral facts, respectively, and hence no mathematical and moral statements are true. I argue that mathematical inferentialism avoids the three objections to mathematical realism and the three objections to mathematical fictionalism, and that moral functionalism avoids the three objections to moral realism and the three objections to moral fictionalism.

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Does Mathematical Realism Help Moral Realism?

  • 章节

  • 发表日期：

    2025年

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  • Seungbae Park

摘要

I offer three objections to mathematical and moral realism, according to which we know, respectively, that some mathematical and moral statements correspond to mathematical and moral facts in the abstract world. I also offer three objections to mathematical and moral fictionalism, according to which there are no mathematical and moral facts, respectively, and hence no mathematical and moral statements are true. I argue that mathematical inferentialism avoids the three objections to mathematical realism and the three objections to mathematical fictionalism, and that moral functionalism avoids the three objections to moral realism and the three objections to moral fictionalism.