Oh well, if they're all equivalent, please drop binary and substitute decimal in computer systems - no problem, right? They're all equivalent?
Every mathematical and logical system has pro's and con's. Why on earth otherwise are there these recurrent debates about the pro's and con's of using different logics and programming languages? But for God's sake you have to get over this EXTREME insularity. Maths is NOT real world reasoning - it is not the 90-odd percent of reasoning that humans do. AGI is about real world reasoning. If all you are capable of metacognitively is thinking about maths & logic reasoning, you cannot do AGI - and you can't even do *creative* maths & logic, because they spring from real world reasoning, too. (They will not help you reason about medical problems, for one.) From: Steve Richfield Sent: Tuesday, July 17, 2012 1:44 AM To: AGI Subject: Re: [agi] Real World/ Creative Reasoning - what no one gets about AGI Mike, You have apparently missed the basic idea of "mathematics". The idea is to represent something else in a way that it can be usefully manipulated. OF COURSE there are many ways of representing things, and so long as your mathematics matches your physical reality, they are ALL correct - which was your point. What you missed is that they are all the same in that they are translatable between each other and physical reality. The fact that there is an infinity of them is uninteresting, because all you need do is to simply pick one of them and stick with it. Continuing... On Mon, Jul 16, 2012 at 4:52 PM, Mike Tintner <[email protected]> wrote: 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. No, for any PARTICULAR (valid) mathematical system, there is only one or a small number of (true) solutions. First, there is no correct way of *numbering* the world - there are infinite possible numeral systems. So what?!!! Just pick one - any one. 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. I can sure say you are wrong in whatever system I picked. For example, 2 + 2 =? IV may be correct in Roman numerals, but if I am not using Roman numerals, it is simply WRONG. And the history of maths is the story of one supposedly "correct" numeral system and mathematical expression being replaced by another and another. If it provides an acceptable solution, it is "correct". There are many "correct" systems. At this point, you seem to start jumping to confusions by not seeing the semantic equivalence of seemingly different mathematical systems. Steve =============== 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 AGI | Archives | Modify Your Subscription AGI | Archives | Modify Your Subscription -- Full employment can be had with the stoke of a pen. Simply institute a six hour workday. That will easily create enough new jobs to bring back full employment. AGI | Archives | Modify Your Subscription AGI | Archives | Modify Your Subscription -- Full employment can be had with the stoke of a pen. Simply institute a six hour workday. That will easily create enough new jobs to bring back full employment. AGI | Archives | Modify Your Subscription ------------------------------------------- AGI Archives: https://www.listbox.com/member/archive/303/=now RSS Feed: https://www.listbox.com/member/archive/rss/303/21088071-c97d2393 Modify Your Subscription: https://www.listbox.com/member/?member_id=21088071&id_secret=21088071-2484a968 Powered by Listbox: http://www.listbox.com
