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Tag Archive for: set theory

micro3

Why Mathematics Defines Numbers and Functions as Sets

January 3, 2016
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Direct answer: Standard mathematics defines numbers, functions, and other objects as sets because the 19th-century collapse of certainty in Euclidean geometry…
https://www.physicsforums.com/insights/wp-content/uploads/2018/01/micro3.png 135 240 Micromass https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Micromass2016-01-03 22:00:302026-07-31 12:05:45Why Mathematics Defines Numbers and Functions as Sets
cardinalnumbers

Cardinal and Ordinal Numbers: An Informal Introduction

September 13, 2015
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1 Comment
Cardinal numbers measure the size of a set, including infinite sets, while ordinal numbers describe the structure of a well-ordered set. Every set can…
https://www.physicsforums.com/insights/wp-content/uploads/2015/09/cardinal.png 135 240 Micromass https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Micromass2015-09-13 03:47:202026-07-31 11:55:56Cardinal and Ordinal Numbers: An Informal Introduction
micro1

Well-Formed Formulas in Set Theory: WFFs Explained Clearly

January 4, 2015
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0 Comments
What Is a Well-Formed Formula in Set Theory? A well-formed formula (wff) in set theory is a string of symbols built strictly from the alphabet of set…
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