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Hi All
I am reading Introduction to Mathematical Philosophy by Bertrand
Russell.
It says that Trasnfinite Ordinal multiplication is non commutative.
2*Omega is different from Omega * 2
so 2+2+2+............. = Omega
While Omega + Omega = 2.Omega>Omega
I see this a little bit fabricated! or let's say fixed.
Why?
Because I can sum number 2 Omega of times and result in 2.Omega, and on
the other hand
I also can sum Omega twice to result in Omega.
How?
To ease visualization of these ordinal summations let us use the unary
numeral system.
Zero = =Empty raw of stars
One = *
Two = **
Three = ***
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