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Why this is not a correct definition for ordered triple? (I know that the correct definition is Kuratowski's definition)

for any $a,b,c$ : $<a,b,c> = \{ \{a\}, \{a, b\}, \{a, b, c\} \}$

At the first time I saw the definition of ordered pair I thougt this is correct but according to kuratowski's definition it is not and I don't know why.

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  • $\begingroup$ @MauroALLEGRANZA Oh I couldn't find it. Now what can I do with this post? $\endgroup$ – siaVash Feb 22 at 15:14
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This definition is not good because that way we would get that $(1,2,2)=(1,2,1)$. We don't want that to happen.

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