Hi Bruno Marchal  

My responses are indicated with  ####s


----- Receiving the following content -----  
From: Bruno Marchal  
Receiver: everything-list  
Time: 2012-09-30, 13:58:19  
Subject: Re: Einstein and space  


Hi Roger Clough,  

I have regrouped my comments because they are related.  


On 30 Sep 2012, at 13:34, Roger Clough wrote:  

> Hi Stephen P. King  
>  
> With his relativity principle, Einstein showed us that  
> there is no such thing as space, because all distances  
> are relational, relative, not absolute.  

With comp there is clear sense in which there is not space, are there  
is only numbers (or lambda terms) and that they obey only two simple  
laws: addition and multiplication (resp. application and abstraction).  

Note that with Einstein, there is still an absolute space-time.  

### ROGER: That was a later view of his, apparently in his attempt to  
restore some absolute order to the universe and to disprove QM.  
But it was an imaginary universe in which this applied, with no  
gravitational fields and curved space. So not a general explanation. 

 >  
> The Michelson?orley experiment also proved that  
> there is no ether, there is absolutely nothing  
> there in what we call space.  

I agree, but there are little loopholes, perhaps. A friend of mine  
made his PhD on a plausible intepretation of Poincar? relativity  
theory, and points on the fact that such a theory can explain some of  
the "non covariance" of the Bohmian quantum mechanics (which is a many-  
world theory + particles having a necessary unknown initial conditions  
so that an added potential will guide the particle in "one" universe  
among those described by the universal quantum wave.  
I don't take this seriously, though.  

### ROGER: Interesting.  I myself, although in a joking manner, have said that  
the Michaelson-Morley experiment could be interpreted in two different ways:  

1) That there was no ether that earth was moving through due to the fact that 
the measured speed  of light is independent of direction,  
(which was the MM interpretation, ) 

or, as I jokingly suggested,  

2) That the earth was stationary as was the absolute ether.  
So no directionality would be seen (that was what they observed). 

> Photons simply  
> jump across space, their so-called waves are  
> simply mathematical constructions.  

In that case you will have to explain me how mathematical construction  
can go through two slits and interfere.  

### ROGER:  Quanta are different from particles. They don't move 
from A to B along particular paths through space (or even through space), they 
move 
through all possible mathematical paths - which is to say that they are 
everywhere at once-  
until one particular path is selected by a measurement (or selected by passing 
through slits).  
........... 
Note that intelligence requires the ability to select. Selection of a quantum 
path 
(collapse or reduction of the jungle of  brain wave paths) produces 
consciousness, according to Penrose et al. They call it orchestrated 
reduction. . 

>  
> Leibniz similarly said, in his own way, that  
> neither space nor time are substances.  
> They do not exist. They do exist, however,  
> when they join to become (extended) substances  
> appearing as spacetime.  

OK. (and comp plausible).  

other post:  
> Hi Stephen P. King  
>  
> Leibniz would not go along with epiphenomena because  
> the matter that materialists base their beliefs in  
> is not real, so it can't emanate consciousness.  

Comp "true" .  

>  
> Leibniz did not believe in matter in the same way that  
> atheists today do not believe in God.  

Comp "true" .  

>  
> And with good reason. Leibniz contended that not only matter,  
> but spacetime itself (or any extended substance) could not  
> real because extended substances are infinitely divisible.  

Space time itself is not "real" for a deeper reason.  

Why would the physical not be infinitely divisible and extensible,  
especially if "not real"?  

#### ROGER:  Objects  can be physical and also infinitely divisible, 
but L considered this infinite divisibility to disqualify  an object to be real 
because 
there's no end to the process, one wouldn't end up with something 
to refer  to.  
>  
> Personally. I substitute Heisenberg's uncertainty principle  
> as the basis for this view because the fundamental particles  
> are supposedly divisible.  

By definition an atom is not divisible, and the "atoms" today are the  
elementary particles. Not sure you can divide an electron or a Higgs  
boson.  
With comp particles might get the sme explanation as the physicist, as  
fixed points for some transformation in a universal group or universal  
symmetrical system.  
The simple groups, the exceptional groups, the Monster group can play  
some role there (I speculate).  
#### ROGER: You can split an atom because it has parts, reactors do that all of 
the time. 
of this particular point, Electrons and other fundamental particles do not have 
parts.  
You lost me with the rest of this comment, but that's OK. 


> Or one might substitute  
> Einstein's principle of the relativity of spacetime.  
> The uncertainties left with us by Heisenberg on  
> the small scale and Einstein on the large scale  
> ought to cause materialists to base their beliefs on  
> something less elusive than matter.  


I can't agree more. Matter is plausibly the last ether of physics.  
Provably so if comp is true, and if there is no flaw in UDA.  


OTHER POST  
> Hi Bruno Marchal  
>  
> I'm still trying to figure out how numbers and ideas fit  
> into Leibniz's metaphysics. Little is written about this issue,  
> so I have to rely on what Leibniz says otherwise about monads.  


OK. I will interpret your monad by "intensional number".  

let me be explicit on this. I fixe once and for all a universal  
system: I chose the programming language LISP. Actually, a subset of  
it: the programs LISP computing only (partial) functions from N to N,  
with some list representation of the numbers like (0), (S 0), (S S  
0), ...  

I enumerate in lexicographic way all the programs LISP. P_1, P_2,  
P_3, ...  

The ith partial computable functions phi_i is the one computed by P_i.  

I can place on N a new operation, written #, with a # b = phi_a(b),  
that is the result of the application of the ath program LISP, P_a, in  
the enumeration of all the program LISP above, on b.  

Then I define a number as being intensional when it occurs at the left  
of an expression like a # b.  

The choice of a universal system transforms each number into a  
(partial) function from N to N.  

A number u is universal if phi_u(a, b) = phi_a(b). u interprets or  
understands the program a and apply it to on b to give the result  
phi_a(b). a is the program, b is the data, and u is the computer. (a,  
b) here abbreviates some number coding the couple (a, b), to stay  
withe function having one argument (so u is a P_i, there is a  
universal program P_u).  

Universal is an intensional notion, it concerns the number playing the  
role of a name for the function. The left number in the (partial)  
operation #.  

#### ROGER:  Despisers of religion would do well to understand 
this point,  as follows: 

Numbers, like all beings in Platonia  are intensional and necessary, 
so are not contingent, as monads are. Thus, arithmetical theorems and proofs 
do not change with time, are always true or always false. Perfect, heavenly,  
eternal truths, as they say. Angelic. Life itself.  Free spirits. 
.................. 
Monads are intensional but are contingent, so they change (very rapidly) with 
time (like other 
inhabitants of Contingia). Monads are a bit corrupt like the rest of us.  
Although not perfect,  they tend to strive to be so, at least those  motivated  
by  
intellect (the principles of Platonia, so not entropic. Otherwise, those 
dominated by the  
lesser quality, passion, weaken. Entropic.  As they say, the wages of sin is 
death.  
Those less dominant monads are eaten or taken over by the stronger ones.  
It's a Darwinian jungle down here.  Crap happens. 

>  
>  
> Previously I noted that numbers could not be monads because  
> monads constantly change.  

They "change" relatively to universal numbers.  

The universal numbers in arithmetic constitutes a sort of INDRA NET,  
as all universal numbers reflects (can emulate, and does emulate, in  
the UD) all other universal numbers.  

Universal numbers introduce many relative dynamics in arithmetic.  

Given that "time is not real", this should not annoy you in any way.  


> Another argument against numbers  
> being monads is that all monads must be attached to corporeal  
> bodies.  

Ah?  

#### ROGER: By atttached I mean associated with. The association is permanent. 
Each monad is an individiaul with individual identity given by the corporeal 
body it is  
associated with. Its soul.  All corporeal bodies are different and unique. 



> So monads refer to objects in the (already) created world,  
> whose identities persist, while ideas and numbers are not  
> created objects.  

Hmm... They "emanate" from arithmetical truth, so OK.  

The problem is in the "(already)" created world.  
##### ROGER: To some extent there is continuous creation, 
such as the unfolding of subsequent generations of seed--> plant. 
seed----> plant,  etc. woman----> baby--> next generation, etc. 
within a particular plant. or woman. 
Yet, according to L, monads cannot be created or destroyed. 
Not to worry as there are  an infinite number of them.  

BRUNO: The existence of a "real physical world" is a badly express problem.  
All we can ask is that vast category of sharable dreams admits some  
(unique?) maximal consistent extension satisfying ... who? All  
universal numbers?  

### ROGER: This is too complex an issue to answer here in great detail..  
The ideas and numbers etc of Platonia can also inhabit the 
minds of men, and there is some limited sharing of ideas 
mentally, as well as some dim knowledge of the past 
and future. 


BRUNO:  I don't know. I mean, I cannot make sense of an "already created  
world", nor of objects in there.  

So my attempt to intepret monads by universal number fails, but in  
your definition here you are using concept which I attempt to explain,  
and so I cannot use them.  
####ROGER:  Right. Monads and numbers are two different animals, 
although the inhabitants of Platonia can be "thought" or "proved" 
in the minds of men-monads.. 


BRUNO:  But I refute your argument that numbers cannot change, as they do  
change all the time through their arithmetical relations with the  
universal numbers.  
##### ROGER: IMHO By not changing I meant that 1 can never change to 2, it must 
always be 1. 
that  numbers as numbers cannot change. However.... 
IMHO  Different numbers can be generated by different calculations, using 
different inputs, or at some different time, but the resulting numbers are 
particulars to that 
particular calculation.    And  to my mind at least, members of, or belonging 
to, 
Contingia in some fashion.  

>  
> While numbers and ideas cannot be monads, they have to  
> be are entities in the mind, feelings, and bodily aspects  
> of monads.  

Numbers get the two role, at least from the pov of the universal  
numbers. That's the beauty of it.  

##### ROGER:  ? 

> For Leibniz refers to the "intellect" of human  
> monads.  

BRUNO:  I refer to the "intellect" (terrestrial and divine) of the universal  
numbers, among mainly the L bian one (as the other are a bit too much  
mute on the interesting question).  

ROGER: IMHO  Again let me refer to  
a) Numbers themselves.  numbers as numbers themselves, and these do not change. 
  
3 is always 3.  
b) Calculated numbers.  But numbers resulting from calculations obviously can 
differ and change, depending on the type of calculation and varying inputs. 


> And similarly, numbers and ideas must be used  
> in the "fictional" construction of matter-- in the bodily  
> aspect of material monads, as well as the construction  
> of our bodies and brains.  

OK. But even truer at another level made possible by comp. As I try to  
illustrate. Arithmetic is full of life and dreams.  

Bruno  


http://iridia.ulb.ac.be/~marchal/  



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Roger Clough, rclo...@verizon.net
10/1/2012 
"Forever is a long time, especially near the end." -Woody Allen

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