What, Steve, you're expressing here is the deeply ingrained power of rational 
"correct", monistic thinking. That's why I was no doubt excessively aggressive 
in tackling it.

There is no "correct" answer to X+Y=5 - and that's allowing for its use of 
variables.

The reasoning that I applied to 2+2=  applies equally here.

First, there is no correct way of *numbering* the world - there are infinite 
possible numeral systems.

So in answering your problem, I can switch to alternative numeral systems if I 
choose, as I did with 2+2.  You can't say I'm "wrong" - "right" and "wrong" are 
matters of convention - unless you happen to think you're God almighty - and it 
still won't do you any good.

And the history of maths is the story of one supposedly "correct" numeral 
system and mathematical expression being replaced by another and another.

The fundamental metaphysics of this is that we live in a multivious world - 
where there are ultimately 

a) a web of infinite causes of any effect
b) a web of infinite consequences for any effect
c) a web of potentially infinite ways to depict any objects  (and numbers are a 
form of depcition)
d) a web of potentially infinite ways to compare objects

No one of these is "correct."  Any explanation you may offer for a given effect 
may be more or less true or false, but it will not be "THE truth."

In public discourse, rational, monistic thinking still largely reigns - people 
are continually saying " this is the right thing to do" -  a budget of 1.2% 
growth in expenditure is the "right" thing to do - the right way to promote 
growth. It's baloney. There are potentially infinite ways to stimulate the 
economy.

"Right-thinking", "rationality" is an extremely limited form of intelligence. 
Someone who can only come up with one answer to a problem, when there are 
potentially infinite answers is v. limited. 

As soon as you move outside of the artificial systems of logic, maths and 
computation, into the realms of real world reasoning, the notion of "correct" 
thinking becomes absurd.

The idea that there is one correct story - one correct version of Romeo & 
Juliet, or history of the causes of the last econ. crisis, or one correct 
explanation of the birth of computers, or life story of Steve Richfield - is 
just a joke.  One correct portrait of Obama?

In all forms of real world reasoning and activity, there are always multiple 
conflicting approaches to every problem.

There is no such thing as a "right" essay - on science, history, geography, 
art, philosophy, politics - or any subject in the curriculum.

To be a real world reasoner, you have to be able to come up with multiple 
approaches to any problem, not just one.






From: Steve Richfield 
Sent: Tuesday, July 17, 2012 12:18 AM
To: AGI 
Subject: Re: [agi] Real World/ Creative Reasoning - what no one gets about AGI


Mike,


On Sun, Jul 15, 2012 at 9:09 AM, Mike Tintner <[email protected]> wrote:

  Steve,

  There are infinite solutions to 2+2 = 

Actually, the "correct" answer is a request for clarification. By the time my 
kids were ~6 they learned to, when asked questions like "what is 2 + 2" to 
respond with "2 what?, plus two what?". 

Most common questions that people ask are incredibly vague and presumptive, 
which leaves the problem you indicated. No, there are NOT an infinite number of 
"solutions" to well-understood problems, when a "solution" is a statement of 
all possible conditions that satisfy the constraints. For example, what is the 
solution to:

X + Y = 5

Obviously, X = 5 - Y

Depending on Y, X could be almost anything. The solution is like this - what is 
needed to satisfy the conditions - which may be VARIABLE.

Steve
===============


  4, FOUR, QUATRE, 1111, 6-2, 7-1,  ....  ,  llll  [lines],    4.2345 real 
apples ..  IV, (and so on in other numeral systems), and so on ad infinitum.

  (And the above is not playing around or superficial - there are plenty of 
existing real problems where it is necessary to find an alternative to 4)

  There are infinite solutions to every problem.

  If you care to take **any real world problem,** in any field, I am quite 
happy to examine it and show you that there are infinite solutions. What is the 
right temperature for the body? There is no right temperature. There are 
self-evidently many temperatures which have pros and cons - and since the 
reality is that there is no such thing as a constant temperature, but only a 
series of fluctuating temperatures, (wh. will presumably also vary for 
different parts of the body) - there are infinite temperatures.

  All this is not a matter of opinion - if you care to persist with 
psychological monism, you are saying something that is demonstrably and 
endlessly falsifiable.

  And you truly do not get it -

  we do not want a robot that can pick up an object in an entirely fictional 
"right" way - that's the kind of industrial narrow AI robot we already have -  
we want an AGI robot that can pick up objects in an endless variety of ways - 
like you, only better, ideally.

  Not a robot that can make one right journey to a given goal, but an endless 
variety of journeys, including ever new and better ways. (What's the "right" 
way to tour the US or downtown Las Vegas? If you think there's one you are not 
living in the real world).

  Not a machine that can write one description of a scene, but an endless range 
of descriptions - as human writers do..

  Not a machine that can write one program for an activity, but an endless 
range of programs - because that's what is possible and happens in the real 
world of real programs.

  You are living mentally in the equivalent of a Flat world in relation to AGI. 
So are most AGI-ers.

  Self-evidently, if you think about it, an AGI machine is one that can produce 
an endless diversity of solutions to any problem - not one.

  (And the irony is that not even in maths or logic is there one right solution 
to problems, there are endless potential numeral systems and logics).


  From: Steve Richfield 
  Sent: Sunday, July 15, 2012 4:13 PM
  To: AGI 
  Subject: Re: [agi] Real World/ Creative Reasoning - what no one gets about AGI


  Mike,


  On Sun, Jul 15, 2012 at 7:30 AM, Mike Tintner <[email protected]> 
wrote:

    The mathematics here is slightly out. 

    In the real world, there are actually infinite solutions to any given 
problem, not one.

  Not really. Excluding irrelevant variables, arbitrary ordering, etc., and 
utilizing iterative and recursive representation, real-world problems usually 
have a relatively small number of solutions. My point (and I think Ben's 
points) here is that that solutions must be at a high enough level for 
finite-sized machines (like us) to deal with the "details". Ben is trying to do 
this his way (with narrow AGI) and I am trying to do it my way (with high-level 
representation). What do YOU suggest?

    In the rational realm which exists only in artificial mental and physical 
worlds, people act as if there is one, but this is purely a **convention.**

    The solution  to a mathematical problem  like 2 +2 = ? of "4" is only one 
of an infinity of possible solutions to that problem. To say "4" is "right" is 
purely a convention, not an absolute truth.

    Modern maths, not to mention the entire history of maths,  agrees with this 
- we've been through this here quite a lot - you couldn't have paid attention.

    If you think there is only one solution to anything,

  I don't. What is the square root of 4? Of course, it is +/- 2. Is that one 
solution or two? It all depends on your REPRESENTATION. I suspect that the 
representations in our own heads are quite high level.

    you are, philosophically speaking, extremely narrow-minded, 
narrow-AI-minded, and not the kind of creative, resourceful, resilient person 
who can always come up with new solutions to problems - both at a specific and 
at a general, metacognitive level.

  Now that you have demonstrated your complete lack of social skills, not to 
mention your lack of understanding the distinction between multiple solutions 
and single solutions with high-level representation... 

    AGI's are not machines that get the "right" solution. Those are narrow AI's.

    AGI's are and will be creative machines that can endlessly produce new 
solutions to any given problem, - endlessly give you new ideas.

  A MUCH higher level than your thinking is a machine that produces seemingly 
(to us) many solutions simultaneously through high-level representation. 

    You are still buried in narrow AI.

  No, you are still buried in narrow AGI. 

    In the real world, in science, technology, arts, history and the entire 
economy there are not "right" solutions - the ipad isn't the "right" solution 
to a tablet. There isn't a "right" AGI project. There are "good-and-bad" 
solutions with pro's and con's, which are more or less profitable and useful.

    This is a psychologically pluralist world - but our culture hasn't yet 
fully made the transition, although it's happening relentlessly. We've become 
culturally pluralist but not yet psychologically pluralist. You and narrow AI 
are rigid, psychological monists.

    Shape up, open your mind, broaden your horizons, become a flexible thinker 
- and completely rethink your approach to AGI.

  You should check out your assumptions before letting loose with the flames.

  Regardless of how good your thoughts might be, jumping on people simply cuts 
you out of the conversations.

  Steve


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