Hi Stephen P. King  and Bruno,

Number would probably be under one of Kant's 
categories, "quantity".

昐ubstance (e.g., man, horse) 
昋uantity (e.g., four-foot, five-foot) 
昋uality (e.g., white, grammatical) 
昍elation (e.g., double, half) 
昉lace (e.g., in the Lyceum, in the market-place) 
旸ate (e.g., yesterday, last year) 
昉osture (e.g., is lying, is sitting) 
昐tate (e.g., has shoes on, has armor on) 
旳ction (e.g., cutting, burning) 
昉assion (e.g., being cut, being burned)

These are the a priori categories of a human mind
which Kant deduced as necessary for a human to
understand anything, derived from Kant's 
"transcendental" deduction. The term "transcendental"
is misleading, for Kant only transcended  from
the outside world to the human mind, not
above it.

However if they are a priori and make sense
to a human mind (are categories of understanding),
it would not seem unreasonable to assign them anthromorphically
to  cosmic mind such as the One or the supreme monad.

I have not studied these much and need to look further into it
as I cannot understand anything myselof without
the additional category of "examples" :-).




Roger Clough, [email protected] 
10/31/2012  
"Forever is a long time, especially near the end." -Woody Allen 


----- Receiving the following content -----  
From: Stephen P. King  
Receiver: everything-list  
Time: 2012-10-30, 17:03:47 
Subject: Re: Numbers in the Platonic Realm 


On 10/30/2012 3:05 PM, meekerdb wrote: 
>> [SPK] Unless multiple entities can agree that the sequence of symbols  
>> "17 is prime" is an indicator of some particular mathematical object  
>> and one of its particular properties, then how does "17 is prime"  
>> come to mean anything at all?  
> 
> I agree with that. But you're talking about the tokens "17 is prime"  
> not the concept that 17 is prime. Could not a person who grew up  
> alone on an island realize that 17 has no divisors, and he could even  
> invent a private language in which he could write down Peano's axioms. 

     Why are you using such trivial and parochial framing for abstract  
questions? Why the reference to single individuals? Did you not  
understand that I am claiming that meaningfulness requires at least the  
possibility of interaction between many entities such that each can  
evaluate the truth value of a proposition and thus can truthfully claim  
to have knowledge of true statements? 
     A person that grew and died on a desert island may have discovered  
for itself that 17 objects cannot be divided into equal subsets, but our  
statements about that are mere figemnts of our imagination as we could  
know nothing objective and non-imaginative at all about that person. We  
are imagining ourselves to have powers that we simply do not have. We  
are not omniscient voyeurs of Reality and there is not anything that is. 

--  
Onward! 

Stephen 


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