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ThetaOfQuicksandFun [2012-01-08 07:02:16 +0000 UTC]

Numbers are an amazing thing to play with. There are many ways to make large numbers but it is altimatly bassed on counting very small numbers, often no larger than 10 or 20 it is just what are you counting. There are different things you can count but because of this there are probably only a dozen or so paradigms of counting.

Paradigm 1. Counting regular numbers like 1, 2, 3, .... like up to 10 or so but counting actual numbers.

Paradigm 2. Counting zeros like counting to 10 this ways leads to ten billion and even to 20 leads to 10^20 or so.

Paradigm 3. Counting Tetration levels or exponent layers, counting to ten this way leads to 10^10^10^10^10^10^10^10^10^10 let alone counting alittle further with this.

Paradigm 4. Counting up arrows in notation, this is not quite simply counting notation levels but that would be part of it, this would probably still not go much further than 10.

Paradigm 5. Counting notations of notations. So Exponentiation, Tetration, Pentation and Hexation and so on are notation levels, them being like 3, 4, 5, and 6 but what if you had a notation level so high that it needed an exponent to represent it and then Tetration, Pentation and higher levels. Then the number of notation representative layers became so higher that they needs a third kind of Exponent and so on for higher and higher notation types untill this was ten or so layers.

Paradigm 6. Taking these ten or so notation layers from the previous paradigm and have so many of these layers that they need an Exponent a Tetration, Pentation and so on but what was just done at the beginning of paradigm 5 with a regular series of notation and what was just done here with representative notations of notation layers are counted as just 2, now take this patturn of 2 and instead of just 2 have so many of these that they need and Exponent and further chain of notations. Now count what was just done at the begginging of this paradigm and what was just done as two levels and complete this into a final series of notations.

Paradigm 7. Take the so far patturn of the first 6 paradigms and expand it to 10 times the amount so far in the same path.

Paradigm 8. Take the patturn of the lat 7 paradigms and expand it to, expand it to 10 or so times as much as was.

Paradigm 9. Take the first 8 paradigms and expand them to, expand them to, expand them to 10 times as much as they were at the beggining.

Paradigm 10. Take the patturn of the first 9 paradigms and {Expand them to, Expand them to, Expand them to...............Expand them to.......Expand them to} 10 times as much as was done before or even alittle over that recursion or number.

You could even have more paradigms but this is proofe that almost all counting is based on the root decible system even when in abstract numbers, thanks you for this.

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penngregory [2008-07-08 13:38:05 +0000 UTC]

very cool again - you have a great gallery here

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