In response to Meta-rationality
Comment author: Risto_Saarelma 26 October 2012 06:53:14AM 3 points [-]

A bit late to this, but I think I figured out what the basic problem here is: Robert Pirsig is an archer, while LW (and folk like Judea Pearl, Gary Drescher and Marcus Hutter) are building hot-air balloons. And we're talking about doing a Moon shot, building an artificial general intelligence, here.

Archers think that if they get their bowyery really good and train to shoot really, really well, they might eventually land an arrow on the Moon. Maybe they'll need to build some kind of ballista type thing that needs five people to draw, but archery is awesome at skewering all sorts of things, so it should definitely be the way to go.

Hot-air balloonists on the other hand are pretty sure bows and arrows aren't the way to go, despite balloons being a pretty recent invention while archery has been practiced for millennia and has a very distinguished pedigree of masters. Balloons seem to get you higher up than you can get things to go with any sort of throwing device, even one of those fancy newfangled trebuchet things. Sure, nobody has managed to land a balloon on the Moon either, despite decades of trying, so obviously we're still missing something important that nobody really has a good idea about.

But it does look like figuring out how stuff like balloons work and trying to think of something new along similar lines, instead of developing a really good archery style is the way to go if you want to actually land something on the Moon at some point.

Comment author: Tuukka_Virtaperko 08 January 2013 12:48:22PM *  0 points [-]

Would you find a space rocket to resemble either a balloon or an arrow, but not both?

I didn't imply something Pirsig wrote would, in and of itself, have much to do with artificial intelligence.

LessWrong is like a sieve, that only collects stuff that looks like I need it, but on a closer look I don't. You won't come until the table is already set. Fine.

Comment author: buybuydandavis 10 October 2012 06:13:13PM *  6 points [-]

The merit of this language is that it should allow you to converse about rationality with mysticists or religious people so that you both understand what you are talking about.

I think the most you can hope for is a model of rationality and irrationality that can model mysticists or religious people as well as rationalists. I don't think you can expect everyone to grok that model. That model may not be expressible in a mysticist's model of reality.

How can we differentiate the irrational from the rational, if we do not know what the irrational is?

Irrationality is just less instrumentally rational - less likely to win. You seem to have split rational and irrational into two categories, and I think this is just a methodological mistake. To understand and compare the two, you need to put both on the same scale, and then show how they have different measures on that scale.

Also, now that I look at more of your responses, it seems that you have your own highly developed theory, with your own highly developed language, and you're speaking that language to us. We don't speak your language. If you're going to try to talk to people in a new language, you need to start simple, like "this is a ball", so that we have some meaningful context from which to understand "I hit the ball."

Quickly thereafter, you have to demonstrate, and not just assert, some value to your language to motivate any readers you have to continue learning your language.

Comment author: Tuukka_Virtaperko 11 October 2012 08:58:21AM *  -1 points [-]

I think the most you can hope for is a model of rationality and irrationality that can model mysticists or religious people as well as rationalists. I don't think you can expect everyone to grok that model. That model may not be expressible in a mysticist's model of reality.

Agree. The Pirahã could not use my model because abstract concepts are banned in their culture. I read from New Scientist that white man tried to teach them numbers so that they wouldn't be cheated in trade so much, but upon getting some insight of what a number is, they refused to think that way. The analytic Metaphysics of Quality (my theory) would say that the Pirahã do not use transcendental language. They somehow know what it is and avoid it despite not having a name for it in their language. That language has only a few words.

The point is not to have everyone to grok at this model, but to use this model to explain reality. The differences between the concepts of "abstract" and "concrete" have been difficult to sort out by philosophers, but in this case the Pirahã behavior seems to be adequately explicable by using the concepts of "natural quality" and "transcendental quality" in the analytic Metaphysics of Quality.

Irrationality is just less instrumentally rational - less likely to win. You seem to have split rational and irrational into two categories, and I think this is just a methodological mistake. To understand and compare the two, you need to put both on the same scale, and then show how they have different measures on that scale.

Do you mean by "irrationality" something like a biased way of thinking whose existence can be objectively determined? I don't mean that by irrationality. I mean things whose existence has no rational justification, such as stream of consciousness. Things like dreams. If you are in a dream, and open your (working) wrist watch, and find out it contains coins instead of clockwork, and behave as if that were normal, there is no rational justification for you doing so - at least none that you know of while seeing the dream.

Also, now that I look at more of your responses, it seems that you have your own highly developed theory, with your own highly developed language, and you're speaking that language to us. We don't speak your language. If you're going to try to talk to people in a new language, you need to start simple, like "this is a ball", so that we have some meaningful context from which to understand "I hit the ball."

You're perfectly right. I'd like to go for the dialogue option, but obviously, if it's too exhausting for you because my point of view is too remote, nobody will participate. That's all I'm offering right now, though - dialogue. Maybe something else later, maybe not. I've had some fun already despite losing a lot of "karma".

The problem with simple examples is that, for example, I'd have to start a discussion on what is "useful". It seems to me the question is almost the same as "What is Quality?" The Metaphysics of Quality insists that Quality is undefinable. Although I've noticed some on LW have liked Pirsig's book Zen and the Art of Motorcycle Maintenance, it seems this would already cause a debate in its own right. I'd prefer not to get stuck on that debate and risk missing the chance of saying what I actually wanted to say.

If that discussion, however, is necessary, then I'd like to point out irrational behavior, that is, a somewhat uncritical habit of doing the first thing that pops into my mind, has been very useful for me. It has improved my efficiency in doing things I could rationally justify despite not actually performing the justification except rarely. If I am behaving that way - without keeping any justifications in my mind - I would say I am operating in the subjective or mystical continuum. When I do produce the justification, I do it in the objective or normative continuum by having either one of those emerge from the earlier subjective or mystical continuum via strong emergence. But I am not being rational before I have done this in spite of ending up with results that later appear rationally good.

EDIT: Moved this post here upon finding out that I can reply to this comment. This 10 minute lag is pretty inconvenient.

Comment author: Viliam_Bur 10 October 2012 03:58:45PM 3 points [-]

It seems to me the ID vs. evolution debate remains unresolved among the general public (in the USA) because neither side has managed to speak the same language as the other side.

If neither side accepts the other side's language as meaningful, why do you believe they would accept the new language?

Somehow related: http://xkcd.com/927/

Comment author: Tuukka_Virtaperko 11 October 2012 08:38:14AM *  0 points [-]

If neither side accepts the other side's language as meaningful, why do you believe they would accept the new language?

Somehow related: http://xkcd.com/927/

That's a very good point. Gonna give you +1 on that. The language, or type system, I am offering has the merit of no such type system being devised before. I stick to this unless proven wrong.

Academic philosophy has it's good sides. "Vagrant predicates" by Rescher are an impressive and pretty recent invention. I also like confirmation holism. But as far as I know, nobody has tried to do an ontology with the following features:

  • Is analytically defined
  • Explains both strong and weak emergence
  • Precision of conceptual differentiation can be expanded arbitrarily (in this case by splitting continua into a greater amount of levels)
  • Includes its own incompleteness as a non-well-formed set (Dynamic Quality)
  • Uses an assumption of symmetry to figure out the contents and structure of irrational ontological categories which are inherently unable to account for their structure, with no apparent problems

Once you grasp the scope of this theory I don't think you'll find a simpler theory to include all that meaningfully - but please do tell me if you do. I still think my theory is relatively simple when compared to quantum mechanics, except that it has a broad scope.

In any case, the point is that on a closer look it appears that my theory has no viable competition, hence, it is the first standard and not the 15th. No other ontology attempts to cover this broad a scope into a formal model.

In response to Meta-rationality
Comment author: Tuukka_Virtaperko 11 October 2012 08:17:07AM *  -2 points [-]

I can't reply to some of the comments, because they are below the threshold. Replies to downvoted comments are apparently "discouraged" but not banned, and I'm not on LW for any other reason than this, so let's give it a shot. I don't suppose I am simply required to not reply to a critical post about my own work.

First of all, thanks for the replies, and I no longer feel bad for the about -35 "karma" points I received. I could have tried to write some sort of a general introduction to you, but I've attempted to write them earlier, and I've found dialogue to be a better way. The book I wrote is a general introduction, but it's 140 pages long. Furthermore, my published wouldn't want me to give it away for free, and the style isn't very fitting to LessWrong. I'd perhaps hape to write another book and publish it for free as a series of LessWrong articles.

Mitchell_Porter said:

Tuukka's system looks like a case study in how a handful of potentially valid insights can be buried under a structure made of wordplay (multiple uses of "irrational"); networks of concepts in which formal structures are artificially repeated but the actual relations between concepts are fatally vague (his big flowchart); and a severe misuse of mathematical objects and propositions in an attempt to be rigorous.

The contents of the normative and objective continua are relatively easily processed by an average LW user. The objective continuum consists of dialectic (classical quality) about sensory input. Sensory input is categorized as it is categorized in Maslow's hierarchy of needs. I know there is some criticism of Maslow's theory, but can be accept it as a starting point? "Lower needs" includes homeostasis, eating, sex, excretion and such. "Higher needs" includes reputation, respect, intimacy and such. "Deliberation" includes Maslow's "self-actuation", that is, problem solving, creativity, learning and such. Sense-data is not included in Maslow's theory, but it could be assumed that humans have a need to have sensory experiences, and that this need is so easy to satisfy that it did not occur to Maslow to include it as the lowest need of his hierarchy.

The normative continuum is similarily split to a dialectic portion and a "sensory" portion. That is to say, a central thesis of the work is that there are some kind of mathematical intuitions that are not language, but that are used to operate in the domain of pure math and logic. In order to demonstrate that "mathematical intuitions" really do exist, let us consider the case of a synesthetic savant, who is able to evaluate numbers according to how they "feel", and use this feeling to determine whether the number is a prime. The "feeling" is sense-data, but the correlation between the feeling and primality is some other kind of non-lingual intuition.

If synesthetic primality checks exist, it follows that mathematical ability is not entirely based on language. Synesthetic primality checks do exist for some people, and not for others. However, I believe we all experience mathematical intuitions - for most, the experiences are just not as clear as they are for synesthetic savants. If the existence of mathematical intuition is denied, synesthetic primality checks are claimed impossible due to mere metaphysical skepticism in spite of lots of evidence that they do exist and produce strikingly accurate results.

Does this make sense? If so, I can continue.

Mitchell_Porter also said:

Occasionally you get someone who constructs their system in the awareness that it's a product of their own mind and not just an objective depiction of the facts as they were found

I'm aware of that. Objectivity is just one continuum in the theory.

Having written his sequel to Pirsig he now needs to outgrow that act as soon as possible, and acquire some genuine expertise in an intersubjectively recognized domain, so that he has people to talk with and not just talk at.

I'm not exactly in trouble. I have a publisher and I have people to talk with. I can talk with a mathematician I know and on LilaSquad. But given that Pirsig's legacy appears to be continental philosophy, nobody on LilaSquad can help me improve the formal approach even though some are interested of it. I can talk about everything else with them. Likewise, the mathematician is only interested of the formal structure of the theory and perhaps slightly of the normative continuum, but not of anything else. I wouldn't say I have something to prove or that I need something in particular. I'm mostly just interested to find out how you will react to this.

What I was picking up on in Tuukka's statement was that the irrationals are uncountable whereas the rationals are countable. So the rationals have the cardinality of a set of discrete combinatorial structures, like possible sentences in a language, whereas the irrationals have the cardinality of a true continuum, like a set of possible experiences, if you imagined qualia to be genuinely real-valued properties and e.g. the visual field to be a manifold in the topological sense. It would be a way of saying "descriptions are countable in number, experiences are uncountable".

Something to that effect. This is another reason why I like talking with people. They express things I've thought about with a different wording. I could never make progress just stuck in my head.

I'd say the irrational continua do not have fixed notions of truth and falsehood. If something is "true" now, there is no guarantee it will persist as a rule in the future. There are no proof methods of methods of justification. In a sense, the notions of truth and falsehood are so distorted in the irrational continua that they hardly qualify as truth or falsehood - even if the Bible, operating in the subjective continuum, would proclaim that it's "the truth" that Jesus is the Christ.

Mitchell asked:

Incidentally, would I be correct in guessing that Robert Pirsig never replied to you?

As far as I know, the letter was never delivered to Pirsig. The insiders of MoQ-Discuss said their mailing list is strictly for discussing Pirsig's thoughts, not any derivative work. The only active member of Lila Squad who I presume to have Pirsig's e-mail address said Pirsig doesn't understand the Metaphysics of Quality himself anymore. It seemed pointless to press the issue that the letter be delivered to him. When the book is out, I can that to him via his publisher and hope he'll receive it. The letter wasn't even very good - the book is better.

I thought Pirsig might want to help me with development of the theory, but it turned out I didn't require his help. Now I only hope he'll enjoy reading the book.

In response to Meta-rationality
Comment author: Tuukka_Virtaperko 10 October 2012 02:14:46PM *  -3 points [-]

The foundations of rationality, as LW knows it, are not defined with logical rigour. Are you adamant this is not a problem?

http://lesswrong.com/lw/31/what_do_we_mean_by_rationality/ says:

We are not here to argue the meaning of a word, not even if that word is "rationality". The point of attaching sequences of letters to particular concepts is to let two people communicate - to help transport thoughts from one mind to another. You cannot change reality, or prove the thought, by manipulating which meanings go with which words.

I don't think it's very helpful to oppose a logical definition for a certain language that would allow you to do this. As it is, you currently have no logical definition. You have this:

Epistemic rationality: believing, and updating on evidence, so as to systematically improve the correspondence between your map and the territory. The art of obtaining beliefs that correspond to reality as closely as possible. This correspondence is commonly termed "truth" or "accuracy", and we're happy to call it that.

Instrumental rationality: achieving your values. Not necessarily "your values" in the sense of being selfish values or unshared values: "your values" means anything you care about. The art of choosing actions that steer the future toward outcomes ranked higher in your preferences. On LW we sometimes refer to this as "winning".

That is not a language with a formalized type system. If you oppose a formalized type system, even if it were for the advancement of your purely practical goal, why? Wikipedia says:

A type system associates a type with each computed value. By examining the flow of these values, a type system attempts to ensure or prove that no type errors can occur. The particular type system in question determines exactly what constitutes a type error, but in general the aim is to prevent operations expecting a certain kind of value from being used with values for which that operation does not make sense (logic errors); memory errors will also be prevented.

What in a type system is undesirable to you? The "snake oil that cures lung cancer" - I'm pretty sure you've heard about that one - is a value whose type is irrational. If you may use natural language to declare that value as irrational, why do you oppose using a type system for doing the same thing?

Comment author: novalis 10 October 2012 04:02:48AM 1 point [-]

I didn't vote on this article, as it happens.

This post is another one of the ones I was talking about. I wasn't really paying attention to where in the sequences anything was (it's been so long since I read them that they're all blurred together in my mind).

There are certainly strong arguments against the meaningfulness of coincidence (and I think the heuristics and biases program does address some of when and why people think coincidences are meaningful).

In response to comment by novalis on Meta-rationality
Comment author: Tuukka_Virtaperko 10 October 2012 01:49:43PM -1 points [-]

The page says:

But this doesn't answer the legitimate philosophical dilemma: If every belief must be justified, and those justifications in turn must be justified, then how is the infinite recursion terminated?

I do not assume that every belief must be justified, except possibly within rationality.

Do the arguments against the meaningfulness of coincidence state that coincidences do not exist?

In response to Meta-rationality
Comment author: metatroll 10 October 2012 03:33:50AM 6 points [-]

Must ... not ... respond ...

In response to comment by metatroll on Meta-rationality
Comment author: Tuukka_Virtaperko 10 October 2012 01:35:37PM *  -1 points [-]

If you respond to that letter, I will not engage in conversation, because the letter is a badly written outdated progress report of my work. The work is now done, it will be published as a book, and I already have a publisher. If you want to know when the book comes out, you might want to join this Facebook community.

In response to Meta-rationality
Comment author: buybuydandavis 10 October 2012 04:00:39AM *  5 points [-]

As luck would have it, I always land on the following page when I start typing "less..." in my browser. http://lesswrong.com/lw/31/what_do_we_mean_by_rationality/

I find it useful consider epistemic rationality a subtype of instrumental rationality, and identify other types of instrumental rationality such as social rationality.

EDIT: I went on about this recently in: http://lesswrong.com/lw/eqn/the_useful_idea_of_truth/7jyn

Comment author: Tuukka_Virtaperko 10 October 2012 01:25:03PM -3 points [-]

Yudkowsky says:

So if you understand what concept we are generally getting at with this word "rationality", and with the sub-terms "epistemic rationality" and "instrumental rationality", we have communicated: we have accomplished everything there is to accomplish by talking about how to define "rationality". What's left to discuss is not what meaning to attach to the syllables "ra-tio-na-li-ty"; what's left to discuss is what is a good way to think.

With that said, you should be aware that many of us will regard as controversial - at the very least - any construal of "rationality" that makes it non-normative:

For example, if you say, "The rational belief is X, but the true belief is Y" then you are probably using the word "rational" in a way that means something other than what most of us have in mind. (E.g. some of us expect "rationality" to be consistent under reflection - "rationally" looking at the evidence, and "rationally" considering how your mind processes the evidence, shouldn't lead to two different conclusions.) Similarly, if you find yourself saying "The rational thing to do is X, but the right thing to do is Y" then you are almost certainly using one of the words "rational" or "right" in a way that a huge chunk of readers won't agree with.

A normative belief in rationality is, as far as I can tell, not possible for someone who does not have a clear concpetion of what rationality is. I am trying to present tools for forming such a conception. The theory I am presenting is, most accurately, a rationally constructed language, not a prescriptive theory on whether it is moral to be rational. The merit of this language is that it should allow you to converse about rationality with mysticists or religious people so that you both understand what you are talking about. It seems to me the ID vs. evolution debate remains unresolved among the general public (in the USA) because neither side has managed to speak the same language as the other side. My language is not formally defined in the sense of being a formal language, but it has formally defined ontological types.

In response to Meta-rationality
Comment author: gwern 10 October 2012 03:37:18AM 6 points [-]

How much interest is there for such a metatheory?

None, unless you have compelling credentials, formal theorems, or empirical results so discussion is not wasted space & breath. Philosophers have been doing 'meta-rationality' forever... anytime they discuss epistemology or other standard topics.

In response to comment by gwern on Meta-rationality
Comment author: Tuukka_Virtaperko 10 October 2012 01:14:55PM *  -6 points [-]

Well I do. The following Venn diagram describes the basic concepts of the theory. As far as we are being rational, classical quality means references and romantic quality means referents. The referents are sense-data, and the references are language. You may ignore the rest of the graph for now.

The following directed graph expresses an overview of the categories the metatheory is about. Note how some of the categories are rational, and others are irrational. The different categories are created by using two binary variables. One of them denotes whether the category is internalistic or externalistic, and another one whether it is rational or irrational. The arrows denote set membership. I like to think of it as "strong emergence", but formally it suffices to say it is set membership. In the theory, these categories are called continua.

Instead of using the graph we could define these relationships with formal logic. Let us denote a continuum by so that k denotes external metaspace and l denotes rationality.

Each continuum can be split into an arbitrary amount of levels. The four continuums also form reciprocal continuum pairs, which means that the referents of each continuum are the same as the referents of some other continuum, but this continuum orders the references to those referents differently. Ordering of references is modeled as subsethood in the following directed acyclic graph:

Note that in the graph I have split each continuum into four levels. This is arbitrary. The following formula defines m levels.

That is the structure of the theory. Now, as for theorems, what kind of theorems would you like? I've already arrived at the conclusion that knowledge by description consists of members of the rational continua, and knowledge by acquaintance (aka. gnosis) consists of members of the irrational continua. But that is mainstream philosophy. Maybe you would be more interested of a formal model of "maps" and "territories", as these concepts are used frequently by you. Yudkowsky says:

Of course, it is a severe error to say that a phenomenon is precise or vague, a case of what Jaynes calls the Mind Projection Fallacy (Jaynes 1996). Precision or vagueness is a property of maps, not territories. Rather we should ask if the price in the supermarket stays constant or shifts about. A hypothesis of the "vague" sort is a good description of a price that shifts about. A precise map will suit a constant territory.

In the LW lingo, continua are "maps" and romantic quality is the "territory". Maps that form reciprocal pairs are maps about the same territory, but the projection is different - compare it to polar coordinates as opposed to rectangular coordinates. Two maps that do not form reciprocal pairs are about different territories. The different territories could could be called natural and transcendental. Insofar as we are being rational, the former is the domain of empirical science, the latter the domain of pure maths.

The merit of this theory is that irrational things, which are called subjective or mystical, are defined in relation to rational things. The ontology of irrational things is constructed by ordering the references to the referents oppositely than they are ordered in the ontology of rational things. You can see the inversion of order from the latter graph. As you can see, subjective references consist of various kinds of beliefs, and mystical references consist of various kinds of synchronicities. These are irrational, which roughly means that no argument suffices to justify their existence, but their existence is obvious.

How do you like it?

Comment author: novalis 10 October 2012 03:28:29AM 0 points [-]

Sorry, I meant that that series of posts addresses the justification issue, if somewhat informally.

In response to comment by novalis on Meta-rationality
Comment author: Tuukka_Virtaperko 10 October 2012 03:38:15AM *  -4 points [-]

Do you mean the sequence "Map and Territory"? I don't find it to include a comprehensive and well-defined taxonomy of ways of being rational and irrational. I was investigating whether I should present a certain theory here. Does this -4 mean you don't want it?

Insofar as LW is interested of irrationality, it seems interested of some kind of pseudo-irrationality: reasoning mistakes whose existence is affirmed by resorting to rational argumentation. I call that pseudo-irrationality, because its existence is affirmed rationally instead of irrationally.

I am talking about the kind of irrationality whose existence can be observed, but cannot be argued for, because it is obvious. Examples of such forms of irrationality include synchronicities. An example of a synchronicity would be you talking about a bee, and a bee appearing in the room. There is no rational reason (ostensibly) why these two events would happen simultaneously, and it could rightly be deemed a coincidence. But how does it exist as a coincidence? If we notice it, it exists as something we pay attention to, but is there any way we could be more specific about this?

If we could categorize such irrationally existing things comprehensively, we would have a clearer grasp on what is the rationality that we are advocating. We would know what that rationality is not.

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