Definition: Set, Set Element, Empty Set (Cantor 1895)deleteeditadd to favorites[id:550]vote: last edited 2 months ago by bookofproofs Notation show notationA set is a combination of well-distinguishable, mathematical objects. Let \(X\) be a set. If an object \(x\) belongs to the set \(X\), it is called the element of \(X\) and written as \(x\in X\). We write \(x\notin X\), if \(x\) is not an element of the set \(X\). If \(X\) has no elements, then \(X\) is called the empty set and denoted by \(\emptyset\). What follows from what?This is (experimental) work in progress - if you miss an axiom, a definition, a theorem or a proof, if you find any inconsistencies you want to correct, or just know about a cool example or explanation you want to share with others, then join our team and help to improve this catalogue. Learn more about the axiomatic approach on BoP...Contribute to BoP: add a new Motivation add add a new Example add add a new Application add add a new Explanation add add a new Interpretation add add a new Corollary add add a new Algorithm add add a new Bibliography (Branch) add add a new Definition add add a new Comment (Branch) add |
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