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Blogs about: Naive Set Theory

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ZFC and ETCS: Elementary Theory of the Category of Sets41 comments

Todd Trimble wrote 1 year ago: This is a post on “foundations of mathematics” (eek!). I was motivated to write it while … more →

Tags: Naive Set Theory, Category Theory, categorical set theory, zfc

Rational And Irrational Numbers

range wrote 1 year ago: Rational Numbers In mathematics, a rational number is a number which can be expressed as a ratio of … more →

Tags: Education, mathematics, Math, Rational, irrational, numbers, Real Numbers, test, Question

Nai

range wrote 1 year ago: I used this partially to write my post. I also used my class notes. … more →

Tags: mathematics, Asides, Set Theory, Proof, Theorem

Section 5 - Complements and Powers

Vishal Lama wrote 2 years ago: The difference between sets and , also known as the relative complement of in , is the set defined b … more →

Tags: Exposition, Math Topics, Naive Set Theory, Paul Halmos, axiom of powers, Complements, power-set, principle of duality

Section 4 - Unions and Intersections

Vishal Lama wrote 2 years ago: We are now ready to discuss a couple of familiar set theoretic operations: unions and intersections. … more →

Tags: Exposition, Math Topics, Naive Set Theory, Intersections, axiom of unions, Paul Halmo

Section 3 - Unordered Pairs

Vishal Lama wrote 2 years ago: After postulating a couple of important axioms in the previous two sections, we now arrive at a coup … more →

Tags: Exposition, Math Topics, Naive Set Theory, empty set, Paul Halmos, Axiom of pairing, Singleton

Section 2 - The Axiom of Specification

Vishal Lama wrote 2 years ago: The axiom of extension (discussed in Section 1) is unique in the sense that it postulates the existe … more →

Tags: Exposition, Math Topics, Naive Set Theory, Paul Halmos, Axiom of Specification, universe, russell's paradox, Aussonderungsaxiom

Section 1 - The Axiom of Extension

Vishal Lama wrote 2 years ago: We encounter sets, or if we prefer, collections of objects, everyday in our lives. A herd of cattle, … more →

Tags: Exposition, Math Topics, Naive Set Theory, Axiom of Extension, Paul Halmo

Naive Set Theory (Paul Halmos)

Vishal Lama wrote 2 years ago:   I have just started reading Paul R. Halmos’ classic text Naive Set Theory, and I intend to bl … more →

Tags: Exposition, Math Topics, Naive Set Theory, Paul Halmo


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