Insights into Mathematics | Introducing (finally!) Box Arithmetic | Math Foundations 237 | N J Wildberger @njwildberger | Uploaded 1 year ago | Updated 1 hour ago
Box Arithmetic is a new way of understanding what arithmetic, and much of associated mathematics, is actually truly about. The most important new understandings are that 1) the most powerful data structure for foundational work is not a set, and is not a list, but is rather a multiset, or mset: where elements are unordered and repetitions are allowed and 2) that the particle / anti particle duality famously discovered by Paul Dirac in 20th century physics has a deep and remarkable analog in the foundations of arithmetic. When we put these two together, we get Box Arithmetic.

Here we give an overview of how we propose to reconsider the developments arising from mset arithmetic in the light of this powerful box / anti box duality.

I would especially like to thank my Patreon supporters for their generous support over the years! Your help and encouragement has propelled me forwards in more ways than you think.


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