- #1

Mentallic

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## Main Question or Discussion Point

First came the natural counting numbers.

Second came all integers, positive, negative and 0.

Third came the rationals.

At this point I would've thought that would be all. All the holes in the number plane would've been filled by using infinitesimally closer rationals.

Fourth came the irrationals and now the number plane has been completely filled.

How was it known that there were holes in the plane? I guess my common sense is defying logic...

Second came all integers, positive, negative and 0.

Third came the rationals.

At this point I would've thought that would be all. All the holes in the number plane would've been filled by using infinitesimally closer rationals.

Fourth came the irrationals and now the number plane has been completely filled.

How was it known that there were holes in the plane? I guess my common sense is defying logic...