Re: Transfinite Ordinal Multiplication

On Sun, 30 Apr 2006, zuhair wrote:

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

No. Multiplication isn't communative.

2 * omega_0 = omega_0 < omega_0 + omega_0 = omega_0 * 2

I see this a little bit fabricated! or let's say fixed.

2^omega_0 = omega_0 < omega_1 = aleph_1 <= |2|^aleph_0 = |2|^|omega_0|

Why?

Ordinal exponentation.

.

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