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Laws and Orders
#12
GFR Wrote:@Ivars: In other words, we should also have (if these operations ... exist):
2[-1]2 = 4 (minusation) !! and
2[w]2 = 4 (omegation) where w (omega .. !) is the first infinite, coutable, ordinal number.

The hypothetical cases of 2[ i]2 = 4, as well as of 2[0.5]2 = 2[1.5] = 2[2.5]2 = 4, should be supported by more serious considerations. However, ... why not??!! We shall see. Smile

GFR

Do I really have to read about those ordinals? They sound scary.With what purpose? I think numbers have fine structure, is it explained by these ordinals?

What about i [ i] i ? Value and meaning? Related to :

0[0]0
1[1]1
2[2]2
3[3]3
4[4]4

x[x]x

i[ i]i

z[z]z

q[q]q where q is quaternion...

I think I know what is "imagination" . It is , even if I know you will say it can not be , related to ordering/enumeration in time. As opposed and complementing to ordering in space, or dimension(s) represented by real hyperoperations.

I have to think what then it means when applied to various bases and simple cases.

Ivars
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Messages In This Thread
Laws and Orders - by GFR - 04/23/2008, 09:17 AM
RE: Laws and Orders - by andydude - 04/23/2008, 11:44 AM
RE: Laws and Orders - by Ivars - 04/24/2008, 06:39 AM
RE: Laws and Orders - by GFR - 04/24/2008, 09:38 AM
RE: Laws and Orders - by Ivars - 04/24/2008, 06:24 PM
RE: Laws and Orders - by GFR - 04/25/2008, 04:40 PM
RE: Laws and Orders - by Ivars - 04/25/2008, 08:24 PM
RE: Laws and Orders - by bo198214 - 04/26/2008, 10:43 PM
RE: Laws and Orders - by GFR - 04/27/2008, 12:50 AM
RE: Laws and Orders - by bo198214 - 04/27/2008, 10:56 AM
RE: Laws and Orders - by GFR - 04/27/2008, 10:18 PM
RE: Laws and Orders - by GFR - 05/02/2008, 09:47 PM
RE: Laws and Orders - by Ivars - 05/20/2008, 07:08 PM
RE: Laws and Orders - by Ivars - 05/25/2008, 03:10 PM

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