15893 | Cantor's theory concerns collections which can be counted, using the ordinals [Cantor, by Lavine] |
18174 | Cantor extended ordinals into the transfinite, and they can thus measure infinite cardinalities [Cantor, by Maddy] |
10034 | The number of natural numbers is not a natural number [Frege, by George/Velleman] |
14143 | ω names the whole series, or the generating relation of the series of ordinal numbers [Russell] |
15915 | Ordinals are basic to Cantor's transfinite, to count the sets [Lavine] |
15917 | Paradox: the class of all ordinals is well-ordered, so must have an ordinal as type - giving a bigger ordinal [Lavine] |
8662 | The first limit ordinal is omega (greater, but without predecessor), and the second is twice-omega [Friend] |
8663 | Raising omega to successive powers of omega reveal an infinity of infinities [Friend] |