Can a tuple contain elements such as objects, set or tuples themselves. And in a Cartesian product of a set of tuples and some other set, shouldn't the resulting set contain tuples containing tuples? (From its definition: ${\displaystyle A\times B=\{(a,b)\mid a\in A\ {\mbox{ and }}\ b\in B\}}$; if $a$ or $b$ is a tuple)
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Hi, welcome to Math SE. You may also find this question to be of interest. – J.G. Dec 27 '23 at 18:27
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A two component Cartesian product is definitely different from a multi-component one. But many authors do not honer the difference and assume everything to be flatten in a canonical way.
As an example, say you've got three presents for Christmas, call them A, B and C. They can be packed in various ways, A, B together, C separate, or, each separate, or, A with a package containing B, C.
Each way, all presents are there but packed in different ways.
Gyro Gearloose
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