Set theory (nonfiction): Difference between revisions
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[[File: | [[File:Venn_A_intersect_B.svg|thumb|The [[Venn diagram (nonfiction)|Venn diagrams]] is a well-known expression of set theory.]]'''Set theory''' is the branch of [[Mathematics (nonfiction)|mathematics]] that studies sets, which informally are collections of mathematical objects. | ||
Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. | Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. | ||
The | The modern study of set theory was initiated by [[Georg Cantor (nonfiction)|Georg Cantor]] and [[Richard Dedekind (nonfiction)|Richard Dedekind]] in the 1870s. | ||
After the discovery of paradoxes in naive set theory, numerous axiom systems were proposed in the early twentieth century, of which the Zermelo–Fraenkel axioms, with the [[Axiom of choice (nonfiction)|axiom of choice]], are the best-known. | |||
After the discovery of paradoxes in naive set theory, numerous axiom systems were proposed in the early twentieth century, of which the Zermelo–Fraenkel axioms, with the axiom of choice, are the best-known | |||
Contemporary research into set theory includes a diverse collection of topics, ranging from the structure of the real number line to the study of the consistency of large cardinals. | Contemporary research into set theory includes a diverse collection of topics, ranging from the structure of the real number line to the study of the consistency of large cardinals. | ||
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== In the News == | == In the News == | ||
<gallery | <gallery> | ||
File:Cantor set 4 iterations.svg.png|link=Cantor set (nonfiction)|[[Cantor set (nonfiction)|Cantor set]] fundamental to detecting and preventing [[crimes against mathematical constants]], according to recent survey of [[Mathematics|mathematicians]]. | |||
File:John Venn computing diagram.jpg|link=John Venn|[[John Venn]] gathers his thoughts, groups them into logical categories. | File:John Venn computing diagram.jpg|link=John Venn|[[John Venn]] gathers his thoughts, groups them into logical categories. | ||
File:William_Blake_-_Sconfitta_-_Frontispiece_to_The_Song_of_Los.jpg|Writer/sorceror [[Roger Zelazny]] (working with artist [[William Blake]]) conjures a [[Venn diagram]] against an unnamed [[Demon (nonfiction)| | File:William_Blake_-_Sconfitta_-_Frontispiece_to_The_Song_of_Los.jpg|Writer/sorceror [[Roger Zelazny]] (working with artist [[William Blake]]) conjures a [[Venn diagram]] against an unnamed [[Demon (nonfiction)|Demon]]. | ||
File:Georg Cantor 1894.png|link=Georg Cantor (nonfiction)|[[Georg Cantor (nonfiction)|Georg Cantor]] suffers for his genius, deserves better, say Set theory. | |||
File:Georg Cantor 1894.png|link=Georg Cantor (nonfiction)|[[Georg Cantor (nonfiction)|Georg Cantor]] suffers for his genius, deserves better. | |||
</gallery> | </gallery> | ||
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== Nonfiction cross-reference == | == Nonfiction cross-reference == | ||
* [[Axiom of choice (nonfiction)]] | |||
* [[Georg Cantor (nonfiction)]] | * [[Georg Cantor (nonfiction)]] | ||
* [[Graph theory (nonfiction)]] | |||
* [[Mathematician (nonfiction)]] | * [[Mathematician (nonfiction)]] | ||
* [[Mathematics (nonfiction)]] | * [[Mathematics (nonfiction)]] | ||
* [[Naive set theory (nonfiction)]] | |||
* [[Set-builder notation (nonfiction)]] | |||
* [[Uncountable set (nonfiction)]] | |||
External links: | External links: | ||
Latest revision as of 09:18, 5 January 2019
The Venn diagrams is a well-known expression of set theory.
Set theory is the branch of mathematics that studies sets, which informally are collections of mathematical objects.
Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics.
The modern study of set theory was initiated by Georg Cantor and Richard Dedekind in the 1870s.
After the discovery of paradoxes in naive set theory, numerous axiom systems were proposed in the early twentieth century, of which the Zermelo–Fraenkel axioms, with the axiom of choice, are the best-known.
Contemporary research into set theory includes a diverse collection of topics, ranging from the structure of the real number line to the study of the consistency of large cardinals.
In the News
Cantor set fundamental to detecting and preventing crimes against mathematical constants, according to recent survey of mathematicians.
John Venn gathers his thoughts, groups them into logical categories.
Writer/sorceror Roger Zelazny (working with artist William Blake) conjures a Venn diagram against an unnamed Demon.
Georg Cantor suffers for his genius, deserves better, say Set theory.
Fiction cross-reference
Nonfiction cross-reference
- Axiom of choice (nonfiction)
- Georg Cantor (nonfiction)
- Graph theory (nonfiction)
- Mathematician (nonfiction)
- Mathematics (nonfiction)
- Naive set theory (nonfiction)
- Set-builder notation (nonfiction)
- Uncountable set (nonfiction)
External links:
- Set theory @ Wikipedia