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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: 2^ALEPH_0 > ALEPH_0
Replies: 16   Last Post: Aug 19, 2012 10:47 PM

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Graham Cooper

Posts: 4,061
Registered: 5/20/10
2^ALEPH_0 > ALEPH_0
Posted: Aug 17, 2012 6:56 PM
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there are 2^ALEPH_0 many Reals!
there are 2X2X2X2.... many Reals!

SOOO MUCH MORE than 1+1+1+1... Nats!
2X2X2X2... > 1+1+1+1...

That's proven in Set Theory! And Calculus proves it!
In FIRST ORDER LOGIC!

ALL(f):N->R EXIST(r):R ALL(n):N f(n)=/=r
LOOK! 1ST ORDER LOGIC!

2X2X2X2... is SOOOO MUCH BIGGER than 1+1+1+1...
~sci.mathemagica

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