Hi, I am trying to work through ordered triples and quadruples, and I want to make sure I am on the right track.(adsbygoogle = window.adsbygoogle || []).push({});

Given Kuratowski's set-theoretic definition of ordered pairs: <x,y> = df {{x},{x,y}} it seems that the definition of <a, b, c> = df <<a, b>, c> would be <a, b, c> = df{{a}, {a, b}, {c}}

However, I am not certain of this and have done a ton of reading to try to guide my answer, but still haven't arrived at any definite conclusion.

Any insight would be greatly appreciated. Especially because I need to figure out how to prove that <<a, b>, c> ≠ <a, <b, c>>. Thanks!

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# Set-Theoretic Notation Kuratowski

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