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Reconsidering Natural Numbers and Arithmetical Expressions - Math Foundations 185

Insights into Mathematics via YouTube

Overview

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Explore the foundations of arithmetic with natural numbers in this 32-minute lecture. Delve into the subtle question of "What exactly is a natural number?" and examine the distinctions between primitive natural numbers, Hindu Arabic numerals, and arithmetical expressions. Challenge conventional notions about prime numbers and infinity, and discover a novel definition of primitive natural numbers using multiset theory. Learn why including zero as a natural number makes sense, departing from traditional views. Gain insights into the importance of careful examination of natural numbers and modern number theory for a deeper understanding of mathematical foundations.

Syllabus

Introduction
Natural numbers
Prime factorization
Euclids theorem
Tiers of natural numbers
Primitive natural numbers
Advantages of multiset natural numbers

Taught by

Insights into Mathematics

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