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Topic: CANTORS INFINITY .... An Infinite Sum of Conditional Statements!
Replies: 0

 Graham Cooper Posts: 4,495 Registered: 5/20/10
CANTORS INFINITY .... An Infinite Sum of Conditional Statements!
Posted: May 9, 2013 2:49 PM

A new kid goes to school each day but on the way
to the lunch canteen a Bully stops him like so:

[MONDAY]
BULLY: I'm thinking of a number from 1 - 10
KID : 7 ?

BULLY : NO! It was 8! [takes lunch money]

[TUESDAY]
BULLY: I'm thinking of a number from 1 - 10
KID : 5 ?

BULLY : NO! It was 6! [takes lunch money]

[WEDNESDAY]
BULLY: I'm thinking of a number from 1 - 10
KID : 1 ?

BULLY : NO! It was 2! [takes lunch money]

[THURSDAY]
BULLY: I'm thinking of a number from 1 - 10
KID : 3 ?

BULLY : NO! It was 4! [takes lunch money]

[FRIDAY]
BULLY: I'm thinking of a number from 1 - 10
KID : 9 ?

BULLY : NO! It was 10! [takes lunch money]

--------------

this is EXACTLY the same method used by CANTOR
to construct BIGGER THAN INFINITE SETS!

| R | > | INFINITE LIST |

EVERY UNIVERSITY TEACHES THIS!

and every time someone points this out to the Maths Faculty
they go home from Uni minus their lunch money !

--------------

Herc

--
CANTORS POWERSET PROOF
| CARDINALITY | > | INFINITY |

IF SET1 has 1 - then MYSET skips 1
or
IF SET1 skips 1 - then MYSET has 1

AND
IF SET2 has 2 - then MYSET skips 2
or
IF SET2 skips 2 - then MYSET has 2

AND
IF SET3 has 3 - then MYSET skips 3
or
IF SET3 skips 3 - then MYSET has 3

AND
IF SET4 has 4 - then MYSET skips 4
or
IF SET4 skips 4 - then MYSET has 4
...