Set Theory. An Open Introduction

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Page Notes

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Read Chapter 1 for some interesting background. Chapter 2 intro-duces basic notions like subsets, powersets, unions, intersections, pairs,tuples, Cartesian products. Chapter 3 is on relations (treated as sets).Chapter 4 is on functions. Chapter 5 is on the size of sets, countablevs uncountable sets, Cantor’s Theorem.At this stage in his book, Button is proceeding naively in our secondsense, with the promise that everything he does can be replicated inthe rigorously axiomatized theory he introduces later.Button writes, here as elsewhere, with very admirable clarity. So this is verywarmly recommended.

https://hyp.is/yjdLHCmkEe-r8yd-gibbvw/www.logicmatters.net/resources/pdfs/LogicStudyGuide.pdf

Highlights

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Read Chapter 1 for some interesting background. Chapter 2 intro-duces basic notions like subsets, powersets, unions, intersections, pairs,tuples, Cartesian products. Chapter 3 is on relations (treated as sets).Chapter 4 is on functions. Chapter 5 is on the size of sets, countablevs uncountable sets, Cantor’s Theorem.At this stage in his book, Button is proceeding naively in our secondsense, with the promise that everything he does can be replicated inthe rigorously axiomatized theory he introduces later.Button writes, here as elsewhere, with very admirable clarity. So this is verywarmly recommended.

https://hyp.is/yjdLHCmkEe-r8yd-gibbvw/www.logicmatters.net/resources/pdfs/LogicStudyGuide.pdf

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