Lecture 1(B): Sets and n-tuples

Prof. Mark Walker, University of Arizona
Sets vs. n-tuples. Does order matter? Is repetition OK? Includes finite, non-numerical examples.

[cormackjackson]

Another great video. I can't help but feel that @1:10 ish you make a really key point, but but only in passing. That many of the common sets we know, like the set of vectors in say R3, can (or is) actually defined in terms of n-tuples of the set R1.

[Edit] Just discovered you do build on this idea in Lecture 2B roughly 10 mins in. You're always a step ahead!

[yamatanoorochi]

19:45 haha, perfectly fine since it illustrates that they're opposites!

[angelmendez-rivera]

I think a more accurate description would to be to say that, for n-tuples, order matters, and repetition matters, while for sets, order does not matter, and repetition does not matter, because {1, 2} is the same set as {2, 1}, and both sets are the same set as {1, 1, 2}. In betwwen n-tuples and sets, there are multisets, for which repetition does matter, but not order. So {1, 2} is a different multiset than {1, 1, 2}, but {1, 1, 2} is the same multiset as {1, 2, 1}.

[RARa]

very slow and easy phase...easy to understand. I like it

[revolutionarydefeatism]

I have an off topic question: are you really write from right to left on the glass?