God, Beauty, and Mathematics | Prof. Alexander Pruss
May 3, 2019
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Prof. Alexander Pruss discusses the certainty of mathematics, compares Plato's abstract world with deflationary views, explores beauty in mathematics linked to theology, examines the influence of God on objectivity and logic, and talks about the preference for simpler theories in science.
Mathematics balances certainty and ambiguity, lacking clarity on its objects.
Philosophical theories of Platonism and deflationary theories shape views on mathematics.
God's role in creating a mathematically beautiful universe is discussed, linking math to theology.
Deep dives
The Uniqueness of Mathematics
Mathematics is described as a field that balances between being the most certain and least controversial area of human knowledge, yet also one of the most enigmatic. Unlike other sciences where the subject matter is clearer, mathematics lacks a distinct understanding of its objects. Despite this ambiguity, mathematics maintains its near certainty and uncontroversial nature, standing the test of time with minor corrections over millennia.
Philosophical Theories of Mathematics
The podcast delves into two philosophical theories about the nature of mathematics: Platonism and deflationary theories. Platonism, traced back to Plato, suggests that abstract objects like numbers exist independently and concretely, while deflationary theories seek to simplify mathematics by focusing on logical foundations and proofs without delving into the reality of mathematical entities.
The Beauty of Mathematics
The beauty of mathematics is explored through the lens of elegance and simplicity in theories, formulas, and proofs. From visually striking fractals to logically elegant theorems like the infinitude of prime numbers, mathematics encompasses beauty at multiple levels. The podcast also delves into the subjective perception of beauty in mathematics, highlighting the aesthetic appeal and profound insights derived from math's beauty.
God's Role in Mathematics
The discussion delves into the role of God in mathematics, suggesting that the beauty and utility of mathematical concepts could be attributed to God's choice in creating a world that aligns with mathematical elegance. The podcast considers the interplay between the beauty of mathematics and its practical application in describing the universe, hinting at a deeper connection between mathematical beauty and the foundational principles governing the cosmos.
Controversies in Mathematics and Science
The podcast addresses controversies in mathematics and science, exploring the implications of simpler theories preferred by scientists and the challenge of incorporating theological perspectives into discussions on mathematical realism and nominalism. Insights are shared on fostering a nuanced understanding of complex mathematical theories and their intersection with theological and philosophical viewpoints.
This lecture was given at MIT on Friday, March 15th, 2019. For more info on upcoming TI events, visit: thomisticinstitute.org/events-1.
About the speaker:
Alexander Pruss has doctorates both in philosophy and mathematics, and is currently Professor of Philosophy at Baylor University. His books include The Principle of Sufficient Reason: A Reassessment (Cambridge University Press), One Body: An Essay in Christian Sexual Ethics (Notre Dame University Press), and Actuality, Possibility and Worlds (Continuum). His research areas include metaphysics, philosophy of religion, Christian ethics, philosophy of mathematics and formal epistemology.
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