Mathematics is an essential component of the traditional liberal arts. From their inception in Greek thought, the liberal arts included arithmetic and geometry. In the medieval grouping of the seven liberal arts into trivium and quadrivium, the latter four were considered intrinsically mathematical in nature. The Greeks and medieval schoolmen considered mathematics as a propadeutic for higher studies. The abstraction, formality, and rigor of mathematical reasoning instill in the student habits of logic, precision, clarity, and patience. The study of mathematical objects disposes the student to the existence of immaterial forms.
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