All of math can be done without any words ... it just gets annoying to read

for instance, all math can be formalized in this sort of manner

http://www.cs.miami.edu/~tptp/MizarTPTP/TPTPProofs/arithm/arithm__t1_arithm

and the words in there like

v1_ordinal1(B)

could be replaced with

v1_1234(B)

or whatever, and it wouldn't make any difference...

ben



On Tue, Oct 28, 2008 at 2:10 PM, Mike Tintner <[EMAIL PROTECTED]>wrote:

>  Ben,
>
> What are the mathematical or logical signs for "normal number"/ "rational
> number"? My assumption would be that neither logic nor maths can be done
> without some language attached - such as the term "rational number" -  but
> I'm asking from extensive ignorance.
>
> Ben:yes
>
> MT:MW:"Pi is a normal number" is decidable by arithmetic
>
>
>> because each of the terms has meaning in arithmetic
>>
>> Can it be expressed in purely mathematical terms/signs without using
>> language?
>>
>>
>>
>>
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-- 
Ben Goertzel, PhD
CEO, Novamente LLC and Biomind LLC
Director of Research, SIAI
[EMAIL PROTECTED]

"A human being should be able to change a diaper, plan an invasion, butcher
a hog, conn a ship, design a building, write a sonnet, balance accounts,
build a wall, set a bone, comfort the dying, take orders, give orders,
cooperate, act alone, solve equations, analyze a new problem, pitch manure,
program a computer, cook a tasty meal, fight efficiently, die gallantly.
Specialization is for insects."  -- Robert Heinlein



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agi
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