Understanding The Essential Dichotomy Underlying Mathematics Data Structures Math Foundations 185
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- We introduce the wonderful world of modular arithmetic, going back to the great C.F. Gauss. This allows us to find remainders ...
- A powerful approach to exploring big number arithmetic is to extend the notion of arithmetical operation. By considering ...
- In this video we look at ordered sets, or osets: the second of our organizing
- We are starting to appreciate the fundamental importance of the framework of Nat, the primitive natural numbers as the
- Now that we have a clear idea of what a (primitive) natural number is, how should we name them? And how should we organize ...
Detailed Analysis of The Essential Dichotomy Underlying Mathematics Data Structures Math Foundations 185
Here we go back to the first videos in this series and recast that discussion in a more solid direction by utilizing our understanding ... Addition, multiplication and exponentiation are just the first three arithmetical operations on a fascinating ladder of operations ... The role of "nothing" in
We give a short informal introduction to the Tropical calculus, which for us is a novel way of working with the algebra of sets and ...
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