Theoretical analysis delineates mathematical abstraction across Aristotle's speculative sciences, indicating that classical metaphysics clarifies modern dilemmas surrounding the arrow of time.
This paper will outline the relationship between mathematics and the other speculative sciences, especially metaphysics, focusing on the descriptions of Aristotle in Metaphysics VI (E) and XI (K), and on the ontological implications of mathematical abstraction. In particular, it will delineate the distinction between natural philosophy, mathematics, and metaphysics, and identify the kinds of questions proper to each. Finally, the paper will conclude with an application of Aristotle’s teaching on abstraction to the contemporary problem of the “arrow of time.”
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Andrew Younan (2026) studied this question.
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