*Any* compositions of monads is a monad.

On Tuesday, May 7, 2013 7:15:27 AM UTC-4, yanniru wrote:
>
> Monads within composite monads. How can you discuss Leibniz without 
> mention of composite monads
>
> In addition, Indras Pearls were known before the time of Leibniz
>
>
> On Tue, May 7, 2013 at 7:09 AM, Roger Clough <rcl...@verizon.net<javascript:>
> > wrote:
>
>>  Monads within monads within monads-- matter, strings and atomic structure   
>>   
>>
>>
>> First I'm going to have to take you, searchlight in hand, through    
>> the darkest, most difficult topic in Leibniz's philosophy, which     
>> is difficult for beginners, especially if they're materialists.   
>> The dark passageway is what Leibniz means by "substance"    
>> and "monad". Leibniz sometimes refers  to substance as if it    
>> were  a description of a physical object, but these both only    
>> apply to mental entities.    
>>
>> Leibniz  developed his idealistic theory of monads before anything was known 
>>    
>>
>> about atomic physics, so, although being aware of the possibility from the   
>>  
>>
>> ancient Greeks, he did not include atoms specifically in his theory.   
>> Instead, he used Aristotle's concept of substance, but allowed it to   
>> be continually changing. In place of physical atoms, he based his philosophy 
>>
>> on the corresponding mental quantity, the monad. 
>> Without going into great detail, Leibniz used an atom of mind, 
>> the monad,  
>>
>> Leibniz began by asking, in the tradition of Descartes, if there might 
>> be any 
>> fundamental quantity, anything certain, on which he could base his 
>> philosophy.   
>> He found that everything in spacetime could be divided  an infinite 
>> number of 
>> times, so that the fundamental quantity must not be physical. Today we 
>> know that
>> there may be a size limit, the atom or fundamental particles, but one 
>> cannot
>> isolate these, due to the Heisenberg Uncertainty principle.  Here I use
>> isolatability instead of infinite divisibility to dismiss anything 
>> physical
>> (anything in spacetime) as being fundamental. That includes space and
>> time, which are infinitely divisible. Also, there are arguments
>> by others such as Paul Davis that matter is not fundamental.
>>
>> Next then we ask whether mind has fundamental units
>> on which to build a philosophy. If you recall the double aspect
>> theory of mind, you can see that parts of the brain, while
>> not being fundamental, possess fundamental functions,
>> such as units of memory, or visual or sensory motor functions.
>> So it appears that mind, a mental substance, can be divided up 
>> into fundamental or logical wholes or concepts. 
>> Leibniz then used these units of mind or monads as the
>> fundamental "mental atoms" of existence. 
>>  
>> A monad then is a complete concept, a whole. a simple substance
>> of one part. A monad may and probably does have variations within,    
>> but it is a whole, constantly changing entity 
>> which, being so, does not have a     
>> boundary within, as long as we assess the whole as a single function.
>> Thus man as a monad contains a brain as a monad which contains
>> neurons as monads. Note that, although each of these monads
>> is physically within the others, the monads are to be classed
>> as functions within functions, and may not be directly related to
>> the physical monads.
>>  
>> A piece of matter would mentally consist of a monad for the whole,
>> inside of which (here both mentally and physically) are a huge 
>> number of monads for the atoms. Then if we look further, we 
>> might have within the atom monad, monads for its subparticles 
>> such as electrons, protons and neutrons. Similary each
>> atom is made up of strings. I would suspect that the various modes
>> of vibration would be further monads inside the basic atom
>> monad. Higher frequency strings inside lower frequency strings.
>>  
>> If we look at this abstractly, as on a spreadsheet,  we see that
>> the universe can be characterized topically, as monads within
>> monads, depending on how finely we focus our vision.
>>  
>>  
>>  
>>  
>>  
>>  
>>
>>
>> Dr. Roger Clough NIST (ret.) 5/7/2013     
>> See my Leibniz site at    
>> http://team.academia.edu/RogerClough
>>
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>
>

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