# which is the maximal element of the set S={...}

• Feb 15th 2013, 12:14 PM
john27
which is the maximal element of the set S={...}
Hello !

which is the maximal element of the set S={ {1,2},{1,2,3},{3,4},{4,5}} which A<=B <=>\$A \subseteq B\$,

which is the maximal elements by zorns lemma ?????
• Feb 15th 2013, 01:08 PM
Plato
Re: which is the maximal element of the set S={...}
Quote:

Originally Posted by john27
Hello !

which is the maximal element of the set $S=\{ \{1,2\},\{1,2,3\},\{3,4\},\{4,5\}\}$ which $A\le B \iff A \subseteq B$,

which is the maximal elements by Zorn's lemma ?????

What is the definition of maximal element ?

How would we apply it here?