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first_infinite_von_neumann_ordinal [2015/02/03 09:57] nikolaj |
first_infinite_von_neumann_ordinal [2015/02/03 09:57] nikolaj |
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| | @#55EE55: postulate | @#55EE55: $ m = \emptyset\ \lor\ \exists (k\in\omega_{\mathcal N}).\ m = {\mathrm{succ}}\ k $ | | | @#55EE55: postulate | @#55EE55: $ m = \emptyset\ \lor\ \exists (k\in\omega_{\mathcal N}).\ m = {\mathrm{succ}}\ k $ | | ||
| + | ----- | ||
| As is common, I'll also use the symbol $\mathbb N$ to denote the set theoretic object $\omega_{\mathcal N}$. | As is common, I'll also use the symbol $\mathbb N$ to denote the set theoretic object $\omega_{\mathcal N}$. | ||
| - | ----- | ||
| === Idea === | === Idea === | ||
| This is probably the most straightforward way to set up a countably infinite set. | This is probably the most straightforward way to set up a countably infinite set. | ||
