Hi Stephen P. King  

Although well-founded, solipsism still remains a psychological theory,
a fact, if you will. As such, it belongs to the contingent world, not the 
world of necessary reason. There may be beings to which it does not hold. 
Mystics claim to have merged with the mind of God. Or perhaps
some day a proof against it may be found.

Roger Clough, rclo...@verizon.net 
11/3/2012  
"Forever is a long time, especially near the end." -Woody Allen 


----- Receiving the following content -----  
From: Stephen P. King  
Receiver: everything-list  
Time: 2012-11-03, 08:00:10 
Subject: Re: (mathematical) solipsism 


On 11/3/2012 5:39 AM, Bruno Marchal wrote: 

[SPK] In the absence of a means to determine some property, it is incoherent 
and sometimes inconsistent to claim that the property has some particular value 
and the absence of all other possible values.  


In math this is called (mathematical) solipsism. 


Dear Bruno, 

    How is it solipsism? Solipsism is: "Solipsism is the philosophical idea 
that only one's own mind is sure to exist. The term comes from the Latin solus 
(alone) and ipse (self). Solipsism as an epistemological position holds that 
knowledge of anything outside one's own mind is unsure. The external world and 
other minds cannot be known, and might not exist outside the mind. As a 
metaphysical position, solipsism goes further to the conclusion that the world 
and other minds do not exist."   

    My point is that numbers, by your notion of AR, are solipsistic as there is 
literally nothing other than the numbers. I reject AR because of this! Numbers 
alone cannot do what you propose. 

    This post argues similar to my point: 
http://mathforum.org/kb/message.jspa?messageID=5944965 

"Conventional solipsism is a logical philosophy whose underlying views 
apply equally to mathematical philosophies of neopythagoreanism and 
neoplatonism as well as mathematical realism and empiricism generally. 

The well established philosophical principle of solipsism is that only 
the individual is or can be demonstrated to exist. But the problem is 
that if this principle were actually demonstrably true it would also 
make it false because the "truth" established would ipso facto make 
the principle beyond control of any individual. 

Nobody really thinks solipsism is true. But the difficulty is no one 
can prove or disprove the concept because no one can prove the 
foundations of truth in absolute, necessary, and universal terms." 


    This article 
http://digitalcommons.macalester.edu/cgi/viewcontent.cgi?article=1020&context=philo
 argues against the claim that Intuitionism is solipsistic. I reject 
Intuitionism as a singular coherent theory of mathematics, but I do accept it 
as a member of the pantheon of "interpretations" of mathematics. 

--  
Onward! 

Stephen

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