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<div style="position:fixed;left:0;top:0">
[[File:coinslot.png|link=]]
</div>
<div style="top: 300px; left: 0px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 600px; left: 0px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 900px; left: 0px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 1200px; left: 0px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 0px; left: 400px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 300px; left: 400px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 600px; left: 400px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 900px; left: 400px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 1200px; left: 400px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 0px; left: 800px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 300px; left: 800px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 600px; left: 800px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 900px; left: 800px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 1200px; left: 800px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 0px; left: 1200px; position: fixed; float: left;">
[[File:Cobson.png|link=]]
</div>
<div style="top: 300px; left: 1200px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 600px; left: 1200px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 900px; left: 1200px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 1200px; left: 1200px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
The powerset of a set \(X\), denoted \(\mathcal{P}(X)\), is the collection of all subsets of \(X\). It is easy to see that, for \(X\) finite, the powerset of \(X\) has cardinality \(2^{|X|}\), and the same fact holds when \(X\) is infinite, although this is because cardinal arithmetic was defined to have that behaviour.
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