Practice, Constraint, and Mathematical Concepts

Practice, Constraint, and Mathematical Concepts

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In this piece I articulate and defend a conception of mathematical practice and mathematical subject-matter, which is responsive both to a sensible pluralism concerning the connection between inferential practices and guiding interests, on the one hand, and to the objective content-determining structure of mathematical amina muaddi scarpe trasparenti concepts on the other.I begin by sketching a general characterization of practices themselves, and by specifying some of the unique features stickers logos dallas cowboys of mathematical practices.An examination of inferential pluralism follows, and some insights of pluralist arguments are retained.

But I argue further for the requirement of some form of mathematical realism, though the object-realism of the indispensability argument is assessed and rejected.My positive proposal argues for a form of concept-realism, which is established by what I call the "argument from constraint.".