Motivation: Usage of Ordered Tuples In Other Mathematical Disciplines

(related to Part: Relations)

We will see soon that, inside the set theory, relations and functions are ordered $n$-tuples. But the concept of ordered $n$-tuples is used in many other mathematical disciplines to define key concepts there, for instance:

These connections to other mathematical disciplines and that they use the language of set theory to define their key concepts, is the main reason, why set theory is today considered the foundation of modern mathematics.

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