Re: Kuratowski Ordered Pair

Hero wrote:

So it is impossible, to define an ordered pair with set-theory only.

Congratulations.

Do not be disappointed in getting few responses to this.

Hamilton introduced this concept of ordered pairs into math:
Theory of conjugate functions, or algebraic couples; with a
preliminary and elementary essay on algebra as the science of pure
time
http://www.maths.tcd.ie/pub/HistMath/People/Hamilton/Couples.html

So we have to lift the ban of time in math.

Sir William Rowan Hamilton (1805-1865), theory 1834
Georg Ferdinand Ludwig Philipp Cantor (1845 - 1918)

So ordered pairs were _defined_ before Cantor and set theory were even
born. Thanks for revealing this fact, Hero!

Han de Bruijn

.

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