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NAT is closed under addition and commutative, associative
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Classroom Contents
A Multiset Approach to Arithmetic - Math Foundations
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- 1 Introduction and history of multiset development
- 2 A multiset mset is an unordered collection allowing repetitions
- 3 A natural number NAT is an mset of zeroes
- 4 A polynumber is an mset of natural numbers
- 5 A multinumber is an mset of polynumbers
- 6 Addition of msets
- 7 NAT is closed under addition and commutative, associative
- 8 Multinumbers are also closed under addition
- 9 Multiplication of msets of msets
- 10 Each "type domain" is closed under addition and multiplication
- 11 The meaning of "poly"
- 12 Distinction of mset and list
- 13 Mathematics as a topic in computer science
