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Countable set

A mathematical set is countable if either it is finite or it can be put in one to one correspondence with the set of natural numbers. Equivalently, a set is countable if there exists an injective function from it into the natural numbers; this means that each element in the set may be associated to a unique natural number, or that the elements of the set…

History, Formal overview & Definition

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Explore the main themes, entities and connections around Countable set. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

A note on terminology

Definition

History

Introduction

Formal overview

Minimal model of set theory is countable

Total orders

Advanced semantic analysis

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Map overview Semantic statistics

Countable set

Nodes58
Edges57
Triples16
Avg. degree1.97
Density0.034483
Components1

How this topic connects Entity context

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Countable set

Top relations

related to overview · 9
Countable set → As, By, Every, For, Furthermore, Similarly, Since, This, We
related to Total orders · 5
Countable set → Cannot, Countable, Other, The, Well-orders
see also · 2
Countable set → Aleph, Grand HotelUncountable

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

set displaystyle countable numbers infinite sets natural number mathbb finite countably elements integers theorem example uncountable element real bijection function

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Countable setrelated to overviewBy0.60section
Countable setrelated to overviewFor0.60section
Countable setrelated to overviewSince0.60section
Countable setrelated to overviewSimilarly0.60section
Countable setrelated to overviewAs0.60section
Countable setrelated to overviewWe0.60section
Countable setrelated to overviewThis0.60section
Countable setrelated to overviewEvery0.60section
Countable setrelated to overviewFurthermore0.60section
Countable setrelated to Total ordersCountable0.60section
Countable setrelated to Total ordersWell-orders0.60section
Countable setrelated to Total ordersThe0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

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    Min side: 3
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