Define the basic concept of ordered pair using only unordered sets. Here is the problem: Given...

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Define the basic concept of "ordered pair" using only unordered sets. Here is the problem: Given arbitrary sets a and b, define the ordered pair (a, b) using only the symbols { and } and, (i.e. the comma), as well as, of course, a and b. Whatever your definition is, it is essential that it allow one to distinguish what is in the first coordinate and what is in the second, no matter what the sets a and b actually are. So, for example, (a, b) does not work as a definition of (a, b) because sets are inherently unordered: since (a, b) and (b, a) have the same elements, they are the same set. In other words, you can't tell which element is supposed to come first. 1. Solve the problem. 2. Explain why your solution actually works, as precisely and completely as you can. Define the basic concept of "ordered pair" using only unordered sets. Here is the problem: Given arbitrary sets a and b, define the ordered pair (a, b) using only the symbols { and } and, (i.e. the comma), as well as, of course, a and b. Whatever your definition is, it is essential that it allow one to distinguish what is in the first coordinate and what is in the second, no matter what the sets a and b actually are. So, for example, (a, b) does not work as a definition of (a, b) because sets are inherently unordered: since (a, b) and (b, a) have the same elements, they are the same set. In other words, you can't tell which element is supposed to come first. 1. Solve the problem. 2. Explain why your solution actually works, as precisely and completely as you can.

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Definition of an ordered pair using unordered sets We can define an ordered pair a b as the set a a ... View the full answer