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Ordinal arithmetic

In the mathematical field of set theory, ordinal arithmetic includes binary operations on ordinal numbers such as addition, multiplication, and exponentiation. Each can be defined in two different ways: either by constructing an explicit well-ordered set that represents the result of the operation or by using transfinite recursion. In addition to these…

Products, Addition & Natural operations

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Overview

Background

Addition

Properties

Multiplication

Exponentiation

Beyond exponentiation

Cantor normal form

Factorization into primes

Large countable ordinals

Natural operations

Nimber arithmetic

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Map overview Semantic statistics

Ordinal arithmetic

Nodes79
Edges78
Triples3
Avg. degree1.97
Density0.025316
Components1

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Important terminology

ordinal natural ordinals numbers form product addition multiplication cantor normal exponentiation operations sum order example finite number first αβ two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
additioninstance ofordinal arithmetic includes binary operations on ordinal numbers0.80text
multiplicationinstance ofordinal arithmetic includes binary operations on ordinal numbers0.80text
and exponentiationinstance ofordinal arithmetic includes binary operations on ordinal numbers0.80text

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