0 1 0 3 2 4 6 1 7 8 9 7 9 97 7 8 82 2 8 9 8 7 77 2 7 777777777777777777772 779 89 98 8 8 2 3 B 5 1 2A C C C CD C C 1 B E F E F Are all real numbers computable G E 1 B F G B 2 4 2 6 H 8 9 8 8 3 I J G 7 8 I 2 K B IB C H 7 8 8 B I B C 2 2 2 2 IJ 1 L H H I J2 G 7 8 2 K 7 2 K 4 H 0 0 6 H B B I J 7 8 2 K M H 4 G I 7 8 2 7 7 2 6 B I B B I B B L H H 5 B 2 8 7 B B B 7 B 8 2 N B 2 CAI A 8 7 7 8 B 7 I J BI J I BA C I CDD K B 9 1 B A K 8 2 H B B 6 3 0 1 C O H 2 B 3 B P C Q H 4 G 0 1 2 3 4 5 6 7 I M 4 H 7 H L E 1 P 1 F 2 C 2 B B B C 7 2 C 78 7 2 C 8 87 78 8 2 7 2 7 7 7 8 7 2 7 2 C 77777777777777777777772 7 8 9 79 97 989 7 8 7 2 2 7 2 ConfuseL C0 C1 C2 C3 C4 C5 8 7 7 8 5 if dk 6 Ck 6 otherwise 2 C2 7 C0 C1 C2 C3 C3 8 C4 C4 C0 C1 C2 C3 7 C4 5 if dk 6 6 otherwise 2 5 if dk 6 Ck 7 8 6 otherwise Ck 5 if dk 6 6 otherwise 7 2 2 7 C3 Ck C5 7 2 C2 8 7 C0 7 C1 2 2 C1 C0 7 7 ConfuseL C0 7 8 C2 C3 C4 7 2 5 if dk 6 Ck C4 C1 6 otherwise The set of reals is uncountable 7 2 2 6 C C H 9 Hold it Why can t the same argument be used to show that is uncountable I B 2 K R 5 5 2 B I C J The argument works the same for until the punchline CONFUSEL is not necessarily rational so there is no contradiction from the fact that it is missing B 10 5 L 1 6 H C L 1 6 1 6 6 H 1 1 1 6 3 G G S S 11 S S S J6 K J 1 1 0 1 2 J K J 6 K 1 I JB S B K B B K I 1 1 G 1 1 1 0 1 2 Are there any more infinities 0 Let S k k J6K J 6K J6K 4 N S 1 1 J K J 6 K J K J 6K J6 K N 6 J K J K 6 In fact the same argument can be used to show that no single infinity is big enough to count the number of infinities 12 0 1 2 was L 1 M E L L 1 F B H H 13
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