Re: [agi] How should an AGI ponder about mathematics

2007-04-24 Thread Mike Tintner
@v2.listbox.com Sent: Tuesday, April 24, 2007 2:48 AM Subject: RE: [agi] How should an AGI ponder about mathematics 1. They will probably create more problems than they fix... as usual. But they should be able to assist man with his issues. Kind of like machines did. 2. You would have

RE: [agi] How should an AGI ponder about mathematics

2007-04-24 Thread Eric B. Ramsay
The more problematic issue is what happens if you non-destructively up-load your mind? What do you do with the original which still considers itself you? The up-load also considers itself you and may suggest a bullet. Matt Mahoney [EMAIL PROTECTED] wrote: --- John G. Rose wrote: A baby AGI

Re: [agi] How should an AGI ponder about mathematics

2007-04-24 Thread Eugen Leitl
On Tue, Apr 24, 2007 at 07:09:22AM -0700, Eric B. Ramsay wrote: The more problematic issue is what happens if you non-destructively up-load your mind? What do you do with the original which still It's a theoretical problem for any of us on this list. Nondestructive scans require medical

Re: [agi] How should an AGI ponder about mathematics

2007-04-24 Thread Eric B. Ramsay
Your twin example is not a good choice. The upload will consider itself to have a claim on the contents of your life - financial resources for example. Eugen Leitl [EMAIL PROTECTED] wrote: On Tue, Apr 24, 2007 at 07:09:22AM -0700, Eric B. Ramsay wrote: The more problematic issue is what

Re: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread Matt Mahoney
--- Lukasz Stafiniak [EMAIL PROTECTED] wrote: On 4/23/07, Matt Mahoney [EMAIL PROTECTED] wrote: Ontic looks like an interesting and elegant formalism, but I don't see how it would help an AGI learn mathematics. We are not yet at the point where we can solve word problems like if I pay

RE: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread John G. Rose
Hi, Adding some thoughts on AGI math - If the AGI or a sub processor of the AGI is allotted time to sleep or idle process it could lazily postulate and construct theorems with spare CPU cycles (cores are cheap nowadays), put things together and use those theorems to further test the processing of

Re: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread J. Storrs Hall, PhD.
On Monday 23 April 2007 10:03, Matt Mahoney wrote: ... The brain is a billion times slower per step, has only about 7 words of short term memory, ... For some appropriate meaning of word -- I'd suggest that frame might be more useful in thinking about what's going on. One of Miller's magical

Re: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread Lukasz Stafiniak
On 4/23/07, John G. Rose [EMAIL PROTECTED] wrote: Hi, Adding some thoughts on AGI math - If the AGI or a sub processor of the AGI is allotted time to sleep or idle process it could lazily postulate and construct theorems with spare CPU cycles (cores are cheap nowadays), put things together and

Re: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread Lukasz Stafiniak
On 4/23/07, J. Storrs Hall, PhD. [EMAIL PROTECTED] wrote: We really are pigs in space when it comes to discrete symbol manipulation such as arithmetic or logic. It's actually harder (mentally) to do a multiplication step such as 8*7=56 than to catch a Frisbee -- and I claim I've learnt

Re: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread Matt Mahoney
--- Lukasz Stafiniak [EMAIL PROTECTED] wrote: Perhaps CIC is simply too impractical. Probably. Deriving multiplication from zero and S() is like computing m*n using: for (i=0; im; ++i) for (j=0; jn; ++j) ++answer; We don't expect children to derive arithmetic from axioms. We

Re: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread J. Storrs Hall, PhD.
On Monday 23 April 2007 15:40, Lukasz Stafiniak wrote: ... An AGI working with bigger numbers had better discovered binary numbers. Could an AGI do it? Could it discover rational numbers? (It would initially believe that irrational numbers do not exist, as early Pythagoreans have believed.)

Re: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread Samantha  Atkins
On Apr 23, 2007, at 2:05 PM, J. Storrs Hall, PhD. wrote: On Monday 23 April 2007 15:40, Lukasz Stafiniak wrote: ... An AGI working with bigger numbers had better discovered binary numbers. Could an AGI do it? Could it discover rational numbers? (It would initially believe that irrational

RE: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread John G. Rose
A baby AGI has immense advantage. It's starting (life?) after billions of years of evolution and thousands of years of civilization. A 5 YO child can't float all languages, all science, all mathematics, all recorded history, all encyclopedia, etc. in sub-millisecond RAM and be able to

Re: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread Mike Tintner
John: Our brains are good I mean they are us but aren't they just biological blobs of goop that are half-assed excuses for intelligence? I mean why are AGI's coming about anyway? Is it because our brains are awesome and fulfill all of our needs? No. We need to be uploaded otherwise we

RE: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread Matt Mahoney
--- John G. Rose [EMAIL PROTECTED] wrote: A baby AGI has immense advantage. It's starting (life?) after billions of years of evolution and thousands of years of civilization. A 5 YO child can't float all languages, all science, all mathematics, all recorded history, all encyclopedia, etc.

Re: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread J. Storrs Hall, PhD.
He who refuses to do arithmetic is doomed to talk nonsense. - John McCarthy We're talking about relative numbers here. Suppose you had an AI algorithm that was exactly as good as the one the human brain uses. In fact, let's suppose you had one that was two orders of magnitude better,

Re: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread J. Storrs Hall, PhD.
Hmmm. Design a combinational logic circuit that has inputs a, b, and c, and outputs not(a), not(b), and not(c) -- its function is just 3 paralleled inverters. But, while you may use as many AND and OR gates as you like, you may only use at most two NOT gates. Josh On Monday 23 April 2007

Re: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread J. Storrs Hall, PhD.
On Monday 23 April 2007 19:45, Matt Mahoney wrote: ... How do you distinguish between consciousness (sense of self) and the programmed belief in consciousness, free will, and fear of death that all animals possess because it confers a survival advantage? A distinction without a difference, I

RE: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread John G. Rose
1. They will probably create more problems than they fix... as usual. But they should be able to assist man with his issues. Kind of like machines did. 2. You would have to imagine an ideal pure intelligence and bridge the gap somewhat. 1.What are your AGI's going to do with their

RE: [agi] How should an AGI ponder about mathematics

2007-04-23 Thread John G. Rose
From biological conception to old age the mind changes quite a bit already. Consciousness, sense of self, free will - all illusions. Fear of death - if the mind agent lost it perhaps it would choose to terminate unless something else supported its intent to keep running From: Matt

Re: [agi] How should an AGI ponder about mathematics

2007-04-22 Thread J. Storrs Hall, PhD.
Look also at Ontic: http://lambda-the-ultimate.org/classic/message6641.html http://ttic.uchicago.edu/%7Edmcallester/ontic-spec.ps http://www.cs.cmu.edu/afs/cs/project/ai-repository/ai/areas/kr/systems/ontic/0.html http://citeseer.ist.psu.edu/witty95ontic.html Josh On Saturday 21 April 2007

Re: [agi] How should an AGI ponder about mathematics

2007-04-22 Thread Matt Mahoney
Ontic looks like an interesting and elegant formalism, but I don't see how it would help an AGI learn mathematics. We are not yet at the point where we can solve word problems like if I pay for a $4.95 item with a $10 bill, how much change should I get back? Never mind the harder problem of

Re: [agi] How should an AGI ponder about mathematics

2007-04-22 Thread Lukasz Stafiniak
On 4/23/07, Matt Mahoney [EMAIL PROTECTED] wrote: Ontic looks like an interesting and elegant formalism, but I don't see how it would help an AGI learn mathematics. We are not yet at the point where we can solve word problems like if I pay for a $4.95 item with a $10 bill, how much change

Re: [agi] How should an AGI ponder about mathematics

2007-04-21 Thread Matt Mahoney
--- Lukasz Stafiniak [EMAIL PROTECTED] wrote: How should an AGI think about formal mathematical ideas? I think the hard problem is in learning how to apply it. For example, suppose you say to an AGI, Bob and Alice shared a $100 prize. How much did Bob receive? Mathematically, it is simple,

Re: [agi] How should an AGI ponder about mathematics

2007-04-21 Thread Benjamin Goertzel
Well Matt, there's not only one hard problem! NL understanding is hard, but theorem-proving is hard too, and narrow-AI approaches have not succeeded at proving nontrivial theorems except in very constrained domains... I happen to think that both can be solved by the same sort of architecture,

Re: [agi] How should an AGI ponder about mathematics

2007-04-21 Thread Lukasz Stafiniak
On 4/22/07, Benjamin Goertzel [EMAIL PROTECTED] wrote: Well Matt, there's not only one hard problem! NL understanding is hard, but theorem-proving is hard too, and narrow-AI approaches have not succeeded at proving nontrivial theorems except in very constrained domains... Verification of

Re: [agi] How should an AGI ponder about mathematics

2007-04-21 Thread Lukasz Stafiniak
On 4/22/07, Benjamin Goertzel [EMAIL PROTECTED] wrote: Well Matt, there's not only one hard problem! NL understanding is hard, but theorem-proving is hard too, and narrow-AI approaches have not succeeded at proving nontrivial theorems except in very constrained domains... I happen to think