Tasuta kohaletoimetamine tellimustele üle 29 €
  • check 10+ miljonit raamatut
  • check Uued tooted iga päev
  • check Meid usaldab üle 1 miljoni kliendi
  • check Hea hind ja allahindlused
  • check Tarne üle kogu Euroopa

Well-ordering Theorem: Function (Mathematics), Property (Philosophy) -

inglise keel
2026-03-20
117,44 € 195,73 €

-40% koodiga BOOKS

Meie tarnija laos

Saadetis 15-21 tööpäeva jooksul

30-päevane tagastamisõigus

High Quality Content by WIKIPEDIA articles! In Mathematics, the well-ordering theorem states that every set can be well-ordered. A set X is well-ordered if every non-empty subset of X has a least element under the given ordering. This is also known as Zermelo's theorem and is equivalent to the Axiom of Choice. Ernst Zermelo introduced the Axiom of Choice as an "unobjectionable logical principle" to prove th ... Täielik kirjeldus

Võib-olla meeldib sulle ka

Kirjeldus

High Quality Content by WIKIPEDIA articles! In Mathematics, the well-ordering theorem states that every set can be well-ordered. A set X is well-ordered if every non-empty subset of X has a least element under the given ordering. This is also known as Zermelo's theorem and is equivalent to the Axiom of Choice. Ernst Zermelo introduced the Axiom of Choice as an "unobjectionable logical principle" to prove the well-ordering theorem. This is important because it makes every set susceptible to the powerful technique of transfinite induction. The well-ordering theorem has consequences that may seem paradoxical, such as the Banach-Tarski paradox. Georg Cantor considered the well-ordering theorem to be a "fundamental principle of thought." Most mathematicians however find it difficult to visualize a well-ordering of, for example, the set R of real numbers. In 1904, Gyula K¿nig claimed to have proven that such a well-ordering cannot exist. A few weeks later, though, Felix Hausdorff found a mistake in the proof.

Lisateave

Kirjastaja OmniScriptum
Väljalaskeaasta 2026
Kaanetüüp Pehme kaanega
EAN 9786131184505
Kirjuta oma arvustus
Te vaatate: Well-ordering Theorem: Function (Mathematics), Property (Philosophy)
Teie hinnang:

Goodreads'i arvustused

117,44 € 195,73 €