Theories of Everything with Curt Jaimungal

Norman Wildberger: Why Infinity Is a Mathematical Mistake

Feb 9, 2022
Guest
Norman Wildberger
Norman Wildberger, a professor of pure mathematics from the University of New South Wales and the mind behind Insights into Mathematics, dives deep into the concept of infinity. He challenges traditional views, arguing that infinity cannot be 'done' and critiques its role in physics and mathematical computations. The discussion also touches on the limitations of real numbers, the inherent complexities of circle computation, and the need for rethinking foundational mathematical concepts. Wildberger advocates for a more grounded approach, emphasizing clarity in understanding and teaching mathematics.
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INSIGHT

Physics and Approximations

  • Wildberger suggests physicists are not affected by his views because they use finite approximations.
  • He also promotes Rational Trigonometry, which avoids square roots and focuses on quadrances.
INSIGHT

Rational Trigonometry's Goals

  • Wildberger's Rational Trigonometry aims for universal applicability across different number systems and quadratic forms.
  • It seeks to unify affine and projective geometry, naturally leading to hyperbolic geometry.
ANECDOTE

Rational Trigonometry Adoption

  • Rational Trigonometry is not widely adopted yet, but Wildberger believes in its potential.
  • He's also engaged in other projects, like algebraic calculus, which contribute to his overall approach.
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