Overweening Generalist

Showing posts with label fuzzy logic. Show all posts
Showing posts with label fuzzy logic. Show all posts

Friday, May 23, 2014

Western Academic Logic Has Broken Through! (Maybe?)

"An increasing number of logicians are coming to think that Aristotelian logic is inadequate." - Graham Priest, in a 2014 article I link to below.

Albert Einstein was asked to contribute an essay on Bertrand Russell for a compendium on Lord R, and  it eventually appeared in Volume V of The Library of Living Philosophers, edited by P.A. Schilpp, 1944. In "Remarks On Bertrand Russell's Theory of Knowledge," Einstein said he immediately said yes when asked to write on Bertie, because, though he didn't enjoy a lot of contemporary scientific writers, he'd spent "innumerable happy hours" reading Russell, and the only writer he enjoyed more was Thorstein Veblen (who, incidentally, forecasted the obvious state of academia today, but in 1899!). Then Einstein realized he had a lot of cramming to do: he'd limited himself to physics, and had embarked on Russell's turf, which Einstein found "slippery." It seems clear from the outset that Einstein is dubious about Russell's field - logic - and how it undergirds mathematics and (maybe?) all knowledge.



The key questions for Einstein are: "What knowledge is pure thought able to supply independent of sense perception? Is there any such knowledge? If not, what precisely is the relation between our knowledge and the raw materials furnished by sense impressions?" Einstein's essay was published in 1944.

My experience with reading on various logics is sketchy. I'm not of a logical bent temperamentally - I tend to think Rhetoric has more dramatic and personal effects, socially -  and yet I find any forays into Boolean thought, logic trees, Aristotle, informal fallacies, logical paradoxes, and how number theory fuses with logic? It's all delightful: I always cop an intellectual buzz if I get deep enough to "get lost"in it. Reading logic books feels a lot like reading linguistic books: I get to the point where all I can see in my mind's eye is absurdities, Cheshire Cats smiles floating before my eyes, the worm ouroburos eating its own tail, the seemingly surrealistic glint of reading a book about how words work, which uses words itself. A world filled with Dali-esque melting watches. For starters.

On a certain level, I think logic is bunk, or tends to the buncombe. And yet, it underpins all our advanced technology, including this thing I'm using right now to get my points across, so we must take It seriously. I think logic works fantastically well at very small levels, like logic gates in circuitry. I'm not sure it works all that well when describing society or as an approximation of the language of everyday living in the Cosmic Goof. Ahhh...but maybe I'm not reading the right type of logic? Or: how am I defining logic?

Every thought, even unconscious thought, can and has been modeled as the logic of neurons firing in a massive parallelism, involving ion channels, action potentials, axons and dendritic spines, all-or-nothing events, and, occurring in the synaptic clefts: the constant release and re-uptaking of neurotransmitting chemical messengers. I'm fascinated by the neuro-logic that does all this and creates circuits of perceptual frames commonly called metaphors, but I (logically) digress...



A pretty cool article in one of my favorite online magazines, Aeon, recently ran an essay by a philosopher named Graham Priest, and it's called "Beyond True and False,"and in it Priest argues that Western logicians, who have long dismissed Buddhist logic as mumbo-jumbo and "mysticism" have come around to an appreciation of it. The 2nd CE Mahayana Buddhist thinker Nagarjuna had insisted that "things derive their nature by mutual independence and are nothing in themselves." Any "thing" is empty, and yet it exists. We can only talk about a thing's "nature" when we include it in a field of other things. If you grok this immediately, you're the sort of person I love to party with.

Priest was one of the developers of something called plurivalent logic in the 1980s, and he asserts that neither he nor his colleagues knew anything about Mahayana Buddhist logic at the time...but their thinking had arrived at a very similar place. It's a breezy essay and delivered the reading-about-logic goods enough for me to get "high" off it. Try it, if you haven't already. It combines Buddhism and databases; what's not to like?

So, for Aristotle, there was only True or False, although I think Aristotle is more complicated than Priest lays him out here. The weird thing about Aristotle, as I continue to read him: his uber-famous book on Logic seems less nuanced about "reality" than his long, compendious and damned amazing book on Metaphysics. In his Logic, there is the Principle of Non-Contradiction (PNC) and the Principle of the Excluded Middle (PEM), which never made sense to me, irregardless the many modes I used to wrap my neurons around it. Methinks THC and CBD tend to dissolve PEM, PDQ.



Nagarjuna was working with the 600-plus year Buddhistic system of the catuskoti, or the logic of "four corners." Some statements are True, some False, just like Aristotle (it's highly unlikely Nagarjuna read Aristotle). But: Buddhistic logic had two more values: some statements are Both True and False; the fourth value was: some statements are Neither True nor False. Aristotle had actually briefly addressed the idea that a statement could be Both True and False, as if it were relatively trivial: these had to do with statements about future events. These statements violated his Principle of Non-Contradiction, so he seems to have wanted it to seem trivial.

Bertrand Russell, along with Alfred North Whitehead, had tried to use logical set theory to firmly put mathematics on a solid foundation. Indeed, the set of all sets is a member of itself; the set of all cats is not a cat, so it's not a member of the set of cats. (By the way: I find set theory a sure buzz, not unlike one small toke of very potent weed; your mileage may vary.) The problem of statements that were self-referential proved Russell's and Whitehead's undoing. Remember the Barber Paradox? Or simply the hilariously vexing problem of this sentence?:

                                            This statement is false.

So yea: let's apply Aristotle's PNC to the set of all the sets that are not members of themselves.

Well, okay, after awhile my head explodes; my consciousness becomes pixillated and then spontaneously rearranges into a collage of shards of paisleys and encaustic purples and pinks. I like it.

Back to Priest's essay: I didn't know about Relevant Logic from the 1960s, which presaged Priest's and his colleagues' Plurivalent Logic. I hadn't known about the 1905 logical proof about ordinal numbers and the limit of noun phrases in a language with a finite vocabulary, from the Hungarian Julius Konig (worth a buzz all by itself). What a cool article.

When Priest tells us that Nagarjuna said that language frames our conventional "reality" but "beneath" this is ultimate reality that we can experience only in special states - such as meditation - but we can't say anything about this "ultimate reality" because it's ineffable and that saying anything about it puts us back into conventional "reality" (<-----I have made it a practice to put quotes around the word "reality" to draw attention to the fierce contentiousness of the term)...Dude! This guy was saying this in the 2nd century of the Common Era.

So the high point (and I do mean "high") of Priest's essay was the discussion about two different ineffable "realities": 1.) the "real" one
                                2.) the "nominal" one; the one where we use language to talk about how wild and transcendent our experience was of the ineffable.

Let us apply good ol' Aristotle's PNC to the above? If it's "ineffable" we can't say anything, period, right? It contradicts itself.

Or maybe: I say all we can say is what we can say, along with lots of hand waving and gestures and hopping up and down, dancing. Jumping outside these particular logic systems (or "Jootsing" as Douglas Hofstadter coined it: jumping outside of the system) into another logical system, let us say that, under the "game rules" of Nagarjuna and Aristotle, we can speak of anything, even the "ineffable." The problem is, we might find ourselves in a straightjacket on the way to the Funny Farm. Either that or find we've obtained disciples, so may as well go for the big bucks with a New Religion.



It turns out that when you convert a logical function (which only relates to ONE other thing, such as your biological father) to relational ones (which can derive any number of outputs), you can arrive at a Six-Value Relational Logic - Priest and Co's Plurivalent Logic. In this system, statements can be:

1. True
2. False
3. True and False (EX: "Both crows and horses can fly." Or better: "This is a sentence that has twenty-three words in it.")
4. Neither True nor False
5. Ineffable
6. Both True and Ineffable (Konig's thing, as shown in the article.)

Furthermore, with relations, these values become fuzzified. Indeed, my Generalist's approach to understandings of logical systems sees Plurivalent Logic as almost the same as Fuzzy Logic, developed by Lofti Zadeh around the same time Priest and Co were doing their thang.

By the way: has anyone found a value that is Both False and Ineffable? If so, I implore urgently: send it to me via Angels and/or quantum encryption, or a secret, coded message in tomorrow's crossword puzzle. Muchas gracias.

Western Counterculture Intellects Were Ahead of the Academics? Maybe?
Jeez! I like Priest for his wowee-gee presentation of developments in academic logic in the 20th century, but fer crissakes Priest!: read Gregory Bateson's work from the 1960s and 70s: he was pushing for a logic of relations then. And Robert Anton Wilson was telling his dope-smoking intellectual readers about multivalent logics in the 1960s: Von Neumann's quantum logic of "maybe" as a third value beyond Aristotle's True and False. RAW also turned the present writer (OG) onto Anatole Rapoport's four valued logic of True, False, Indeterminate, and Meaningless. RAW also showed how Korzybski, by 1933, had developed an Infinite-Valued Logic in which we must use our wits to assign probabilities to the veridicality of statements. RAW even promulgated the logic of "Sri Syadasti," in the serious-joke religion of Discordianism, which was developed in the 1960s. Note the many-valued stoner logic there! It seems to anticipate Priest and Co's 1980s Plurivalent Logic by at least a decade. (Could it have secretly influenced the academics?) Timothy Leary developed, in the early 1970s, a type of neuro-logic that was embedded in a system of phenomenological "circuits" in human minds that developed according to genes, accidents, habits, learning, the culture a person was born into, the language they used, their education, and their openness to novelty. These counterculture thinkers noted and cited a plethora of examples on non- and anti-Aristotelian thinking that had run through world cultures, running back to Taoism and the I Ching.

So: I've seen this many times before. The longtime academic seems to either not know, or knows but pretends to not know, that things are muddied once they survey the vast historical mindscape outside their Ivory Towers. I've seen it so often I expect it. Or hell: maybe Priest is at best oblivious. Or worse: dismissive. At least Priest admits Aristotle's bivalent logic has major problems and that 1800 years ago a non-Westerner was prefiguring the thought systems that he and his friends thought they were inventing. And also, Priest is right: seemingly "pure" thought-systems in logic and math later on prove to be surprisingly useful in the workaday world in the sensual, sensory, existential, phenomenological space-time continuum.

Works Consulted:
- "The Logic of Buddhist Philosophy," by Graham Priest, Aeon.
- cool interview of Graham Priest by Richard Marshall. Priest seems pretty cool for an academic.
-The Fringes of Reason: A Whole Earth Catalog: "Beyond True and False: A Sneaky Quiz With Subversive Commentary," by Robert Anton Wilson, pp.170-173. For Generalists interested in multivalent logics, this piece complements Graham Priest's piece on Buddhist philosophy, above.
-Ideas and Opinions, Albert Einstein. "Remarks On Bertrand Russell's Theory of Knowledge," pp.18-24
-The Chinese Written Character As A Medium For Poetry, by Ernest Fenollosa and Ezra Pound (1936)
-Steps To An Ecology of Mind, by Gregory Bateson
-Godel, Escher, Bach, by Douglas Hofstadter
-Laws of Form, by G. Spencer Brown
-Fuzzy Thinking: The New Science of Fuzzy Logic, by Bart Kosko
-Prometheus Rising, By Robert Anton Wilson, esp. pp.217-252

Wednesday, April 4, 2012

Nick Bostrom, Simulations, Modal Logic and Imagination, Featuring Sufis, Sir Martin Rees, Threats To Human Existence, and a Possible Reason to Quit Worrying

In doing a worried backstroke through articles and book chapters on catastrophic scenarios, I happened upon a recent interview with a Transhumanist who I think is one of the brightest of the bright, Nick Bostrom. He argues that we're underestimating the risk of human extinction. You know: Fun Stuff.

I admit I'm bored by the Mayan calendar talk. I've never been a Christian, so I never took all the Left Behind books seriously. I spent maybe five minutes with one from the series in my hands, leafing through it, gawking at the prose like a rubbernecker at the site of a particularly gruesome highway accident. (Supposedly the series has sold 35 million copies.) The economic disaster stuff is, to quote Wordsworth slightly out of context, too much with me. I lack the ironic distance. I have plenty of ironic distance when I read/listen/watch Glenn Beck, Rush Limbaugh, Rick Santorum, Michelle Bachmann, etc...but they're ultimately beastly boring to me. I check 'em out to see how bad "conservative" discourse can get. (O! True conservatives where art thou?)

Ya wanna know what really gets me going when I want that adrenal buzz of worry, fear, or paranoia? The idea that we'll get Artificial Intelligence going to super-human levels and it'll really do us some harm. I don't know where my Ironic Distance is - or if I have one at all - when I contemplate this kind of stuff, and I think that's why it "works" for me.

Bostrom, in the long article I linked to above talks about "anthropogenic" Existential Risks. It turns out Bostrom is one of the more interesting thinkers on Existential Risk out there. Later in the 21st century, it's possible we could be wiped out by malignantly intentional attacks or "simple" human error arising from hair-raisingly advanced technologies on advanced molecular nanotechnology, synthetic biology, or nuclear weapons. (How dull global warming, ocean acidification and collapse of ecosystems seem now in the face of such sexy existential megadeath killers!)

We could reach a stasis in which there's a permanent upper class that keeps everyone under control using surveillance and psychologically manipulating pharmaceuticals. A "global totalitarian dystopia," a "permanently stable tyranny." Designer pathogens are rapidly becoming a very real possibility. You can find the 1918 flu virus details online now; with rapid advances in sequencing and lab techniques becoming cheaper and easier to use...I can feel my heart rate speed up already.

And oh yes: non-anthropogenic risks are out there, too: supervolcanoes, asteroid impacts, and something I'd never heard of until Bostrom put me straight: "vacuum decay in space."

I'm reminded of Sir Martin Rees's book from 2003, Our Final Hour. Sir Martin estimates a 50/50 chance humanity makes it to 2100. Here's Rees talking for 6 minutes on this delightful theme, from last November:

In the Bostrom article, it seems that most of the Experts assessing existential risk are slightly more optimistic than Sir Martin: they seem to be somewhere around 10%-20% chance we'll not make it to 2100. Here's a Silicon Valley rich guy - Rick Schwall - who's worried about existential risk, just to add more people to our party...

Anyway, I thought it slightly ironic that a Transhumanist is arguing that we should make existential risk a priority over present human suffering. But Bostrom has very rational reasons: if we care about people in space - in other words, on the other side of the globe -  simply because they're humans like us, then we ought to consider humans in time as well as space. They're still human, even if they haven't been born yet.

                                 One of my favorite living philosophers, Nick Bostrom, born 1973


The Sim Stuff From Bostrom
What a stimulating thinker Bostrom is, and never more than when he talks of his "Simulation Argument." (<------You can spend months studying this site and all the places it leads you!) This argument has a very long pedigree, but Bostrom's form was what took me, and note that Bostrom's logical chops are stellar:

One of the three propositions seems very highly likely true:

1.) Almost, or all civilizations like ours go extinct before reaching technological maturity. Technological maturity is defined as something like Ray Kurzweil's or Hans Moravec's wettest dreams: Artificial Intelligence carried to a profound degree, solving the death problem, end of economic scarcity, etc. This proposition has been written alternately thus: No civilization will reach a level of technological maturity to the point where they can simulate reality that is so detailed so that "that reality" could be mistaken as "reality."

2.) Almost all technologically mature civilizations (on any possible planet) lose interest in creating ancestor simulations, which are computer simulations so dizzyingly complex and nuanced that the simulated minds would be conscious, or believe they're conscious. Sophisticated beings so profoundly adept at technological manipulation aren't interested/don't do simulations of reality for ancestors. If these beings DO do these simulations, they don't do many, for varying reasons having to do with wanting to use computational power for other things, or due to ethical objections about keeping simulated beings captive, etc.

3.) We're almost certainly living in a simulation. Now. You and me and everyone we know, our entire history and world, possibly.

One of these three is almost certainly true, and Bostrom has a preponderance of math (that I can't follow) to argue that Number 3 is most likely: we're living in a simulated reality. Does this allay your anxieties about the future? Recently we read that Ten Billion Earth-Like Planets May Exist in Our Galaxy. That's just our crummy little galaxy. There are billions of other galaxies. And then there's the multiverse: an infinite number of universes.

But I'm getting ahead of myself. We already have The Sims and many other technologies that suggest we ourselves are moving (with logarithmically accelerated speed due to Moore's Law and other factors) into a world in which we are simulating other realities and beings. Can we make them take-for-granted their world and assume that "Of course we're conscious entities!"?

Now: these advanced beings who may be simulating Us could be "here," because we don't know we're simulated. Or they could be Elsewhere. Does it matter at this point? And what's that goo on your computer screen? Did I just blow your mind?

Bostrom says it's possible that what you're in now is a "basement level of physical reality." But if any technologically mature civilization that hasn't succumbed to Existential Risk (I should've been capitalizing that term from the get-go: much more dramatic and befitting its own idea), and they DO do what we're already doing now in this reality, then they probably will run millions of simulations, because they can. The sheer number of simulations outnumbers the non-simulated worlds that we may encounter, so it's probable that we're living in a simulation. Here's a funny popular take on Bostrom's idea, from the NYT.

Okay, okay: I've seen some good guerrilla ontology in my day, but this one's way up there. If you're heard the Bostrom argument and either say maybe, yes we're living in a simulated reality and what of it?, or I see his points but refute him thus, or whatever, then you're seeing the Matrix for what it really is. Errr...right? Anyway, I guess if it's most likely (aside from certain named-biases Bostrom is quite frank about) that we're a simulation, why worry about anything? Oh yea: that whole discomfort and death thing. No matter how unreal we and our world "is,"or "are," it still seems too real to wish away. "Reality is that which, when you stop believing in it, it doesn't go away," to paraphrase Philip K. Dick, who knew a thing or three about simulations and irreality. (See below)

Still: we must admit that even if we're a very detailed computer simulation, it makes for wonderful novels and films that constitute a simulation inside a simulation...ummm...eh?

Idea: try spending a week constantly reminding yourself that your world and everything in it is being played out in some unimaginably complex hypermetasupercomputer program. Note if and how your perception of "reality" changes after seven days, and report your findings in the comments section. (I've done this exercize: It tended to sharpen my sense of irony, and really brought out the highlights in bold relief when I noted myself or someone else taking a relatively trivial thing a tad too seriously, but your results may differ wildly.)

Oh: another reason to worry about Existential Risk: we might not make it to the point where we can develop - reach technological maturation as a species - to do simulations of other beings...even though we might be a simulation ourselves. Uhh...I think? (Wha?)

I mentioned and linked to the idea that this is a very old notion, even older than Plato's Cave parable. It's like Chuang-Tzu saying he woke up remembering his dream that he was a butterfly, but then questioning if he was not really a butterfly dreaming he was a man. Or the counterculture intellectual Alan Watts, who, when asked, "What is life like after death?" And Watts quickly responded, "How do you know you're not dead already?"

Of course, this notion of fine-grained simulated realities that humans take "for real" is a favorite among science fiction writers. Philip K. Dick is the foremost example, using this idea as far back as the mid-late 1950s. See this list of books that use simulated realities and note how often PKD shows up.

[For readers of Wilson and Shea's 805 page Illuminatus! Trilogy, think of this theme of simulation and the Writer of that book?]

al-Ghazali the sufi intellectual and mystic, argued against Aristotle, who said the world had no end. Ghazali thought time was bounded and he developed an argument for many possible worlds, but that this one was the best one, because Allah is so great. I'm simplifying here, but in not only sufi but Hindu and Buddhist cosmology we see variations of these ideas appear. Other sufis were on board with many worlds, also...

The Many-Worlds Hypothesis (Everett-Wheeler-Graham) interpretation in quantum mechanics appeared in Unistat in the 1950s. 

In the 1970s in Unistat, in another area of the academy, logician David Lewis developed Modal Logic in such a way that (get this): Every possible world exists, is a concrete entity, that every world is set apart causally and in space/time from every other one, and that our world is one of those worlds. The only "special" aspect of the world we live in now is that we're in it. In logic, this is called the "indexicality of actuality."

I can go on and on with this stuff, because it's difficult to find good LSD these days, and I've found I can simulate a trip by reading wiggy academic books on logic, sufi theology, quantum mechanics, and philosophy like Nick Bostrom's. I don't trust that dude selling magic mushrooms in the park; give me my dog-eared copy of Berger and Luckmann's The Social Construction of Reality or Nick Herbert's Quantum Reality instead. Just as good, and if things get too weirded-out, I can go for a walk.

I guess what I really wanted to do was to attempt to reassure you: no matter how Bad Things Get, you can always tell yourself, "It's not a big deal. I'm just playing out in some simulation run by some Being from a civilization that evaded its moment of Existential Risk." If it works for you, you can thank me later, no matter how fake I am.

Hey, that's what the OG is here for!

I watched about 12 "We're living in a simulation" dealios on You Tube. Some of them are pretty good, but are marred by stentorian voice-over, too-intrusive Carmina Burana-like music, or other little annoyances. I have chosen two videos in case anyone...well, in case.


Two good-looking philosophy students rap about Bostrom's idea. I liked the down-to-earthiness of them.



Morgan Freeman narrates a science channel episode that uses "God" as the Simulator. The CalTech scientist never mentions Bostrom; I don't know to what extent he's influenced by him or what. I liked this because of the illustration of our own ability to simulate virtual experiences, which eventually blur into "reality," or seem to:

Friday, June 3, 2011

Aristotle: OR: Now That It's June I "May" As Well Talk About Logic

Okay, the blog topic contains an atrocious pun (hanging's too good for me; I should be drawn and quoted!), and it's not even funny. Speaking for myself, I didn't laff. May-June? That's all I have? Yes, but the other part is the non-sequitur. It being the month of June now has nothing to do with talking about logic, which I don't need to explain. (If you do need it explained, please hit that little "next blog" button up there, see it?)

I will not go on about Aristotle's excluded middle and what a drag it's been. It rawked when he came up with it, but what sort of scholastic jerkwad is STILL enamored of it? (Freud might say something about potty training?) Hey: we've got multivalued logics and it's high time we use them; they allow you to use your brain for "fun and profit" as one of our dearly departed ones was wont to write.

The natural world does not seem to come readily parse-able into either True of False. The Game Rules of arithmetic and a few other Games seem to fit the True/False and Yes/No world, but T/F seems to extend not far beyond the schoolyard. Or to be generous, the handball court.

True/False with no possibility of anything betwixt? We ought to be suspicious of such tidiness.

If we assume a logical formalism of some sort operating in the world, does it only operate when we are looking for it, or are logical operations always already ongoing? Or did we just make up all the different forms of logic and apply them when it seems pragmatic? If I say I'm about to flip this coin and it will turn up tails, and it turns up heads, my prediction was "false." But what about the moment when it's spinning in the air? I like to say it's in a third-value state of logic: "maybe." This all seems to relate to the Heisenberg and Schrodinger problems...
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About formal statements: it seems wise to admit a four-value system of logic (at least four!). Some astronomers and astrophysicists think it highly likely that, before the sun goes supernova in about another six billion years, that any humanoid-level of life would likely die off due to a large collision with an asteroid or a big comet. At this moment, how about the value of "indeterminate"? We will likely learn more and more about whether - and WHEN! - this moves from the indeterminate to the "true." And then there are a few schemes already cooked up about how to make the True turn into a False, but we've veered off track...which, coincidentally, is what we hope to make the asteroid do.

Here's an innaresting one:

"The theory of evolution is true."

Okay, I say oh hell yes: True!...but: it's a theory. It's constantly being improved upon, too. Was it "less true" when Darwin and Wallace floated it out there for public consumption? Darwin didn't know about Mendelian genetics. Hardcore, big-time evolution scientists pre-1950 didn't know what structure DNA had...and recently RNA has seen its stock soar, while DNA comparatively has taken a bath. What about the new epigenetics? On and on...evolution seems to become "truer" every year...but is it the "same" evolution that Darwin talked about? A difference in part or kind? Will some new theory come along that encompasses neo-Darwinism but contains a big enough twist that we see it as Something New? If so, it then doesn't make evolution "false," just as Einstein's Relativity didn't render Newton false.

Let us rejoice in theories that seem so robust that they are merely always Subject To Revision. (Personally, I would give a good earnest hearing to the non-fundamentalist monotheist who wants to argue that Evolution is "indeterminate," though.)

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True/False/Indeterminate and..."Meaningless"? If you are in Unistat these days, turn on right wing radio or watch Fox "News" on TV and you'll soon hear some formalist-sounding statement such as "America is the greatest country that God ever blessed the world with." (A loathsome a-hole named Sean Hannity has made many statements that are isomorphic to this one.) I know of no possible way to evaluate a statement like this (unless it's an exclusive Game Rule only for know-nothings and fascists?), so I deem it "Meaningless."

"My religion is the one true one; all the others are false." - Game Rule or Meaningless? (Or both, depending on where you stand/who's saying it?)

"I lent my Being to that girl with a penis so our non-nitrogen-containing air could radicalize the dead people." Sounds Meaningless to me, or the ranting of a schizophrenic. Let's go with Meaningless.

A line from the Monty Python troupe that has stuck with me ever since I first heard it:

"My hovercraft is full of eels." Sounds insane and meaningless - and sorta poetic - but on second glance qualifies as a truth claim, and seems best evaluated as "maybe" until you collapse the state vector and go check out the guy's hovercraft for eels, at which point it becomes either True or False....or does it?

What might "full" mean here? Two eels? Fourteen? Twenty-three? Forty-two? "Full" seems entirely subjective, so we might have to ask clarification before trotting down to the docks.

[Please feel free to put a formally Meaningless statement in the comment section below. "'Twas brillig among the slithy toves" and Chomsky's "Colorless green ideas sleep furiously," are already taken.]

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"The writer of the blog you are reading right now is a robot made of silicon, rubber, wiring, metal, and sundry parts." True? False? Indeterminate? Meaningless? Please explain your answer.

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Robert Anton Wilson, who either inspired or was inspired by or helped to write the Bible of the Discordian Society, liked to recite the seven-value logic of "Sri Syadasti":

Now it gets good, so I need to quote it at length, from the Good Book:

"All statements are true in some sense, false in some sense, meaningless in some sense, true and false in some sense, true and meaningless in some sense, false and meaningless in some sense, and true and false and meaningless in some sense." - p. 00040, Principia Discordia: Or How I Found Goddess and What I Did to Her When I Found Her.


And all teachings of this Wisdom school fit all seven values of that logic, too. Think of the entire Sri Syadasti as subject to itself! (I think we have an Infinite Regress! Bingo!) NB: it seems to be a logic that is ABOUT logic. Does this qualify as a meta-logic? It has been said by humans wiser than I that, if you repeat the Sri Syadasti every day of your life, you will attain enlightenment...in some sense.
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Moving up from seven values, there seems an infinite-value logic in Alfred Korzybski's work, and, seemingly related, the newer fuzzy logic(s). Of this last I grokked in its fullness (but not the math) Bart Kosko's Fuzzy Thinking: The New Science of Fuzzy Logic and Dan McNeill's and Paul Freilberger's Fuzzy Logic but they only really served to dry-roast my brain, although fun. Please don't quiz me on that stuff if you corner me at a beer-bash.
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Sometimes, when time constrains, we seem to existentially find ourselves forced to choose between two things. The point is, it's our choice. If you want to haul "logic" into it, go right ahead and do so. I rather see most of these as something along the line of "real-world dilemmas." Let me give an example or three.

The American baseball player Yogi Berra once gave this sage advice: "When you come to a fork in the road, take it." Wise words, indeed. Let us bow our heads and meditate on that for a brief moment...

Okay, enough. Moving along...

Recently I read a marvelous book of aphorisms by Nassim Nicholas Taleb, The Bed of Procrustes. He's writing about the current state of political affairs: 


"In politics, we face the choice between warmongering, nation-state loving, big-business agents on the one hand; and risk-blind, top-down, epistemic arrogant big servants of large employers on the other hand. But we have a choice." (p.92)


I find this oddly comforting. Not that it's not true. I think it sorta "is" true. (According to my own Game Rules!) But what comforts me is that someone is saying it.


A third, from Woody Allen's essay, My Speech To The Graduates - timely, and it begins thus:


"More than any other time in history, mankind faces a crossroads. One path leads to despair and utter hopelessness. The other, to total extinction. Let us pray we have the wisdom to choose correctly." (found on p.57 of Side Effects)


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I hope I have gone some way (or is it "ways"?) here in taking a bit of the wind out of Aristotle's sails. (Ezra Pound called him "Harry's Bottle," but then again the State locked up 'Ol Ez for 12 years, so that proves nothing.)

Well, I see we're almost out of time again, and I can go on and on with logic until Daddy comes home, but I will stop here because it's almost time for Daddy now. (?)

Please read pages 1897-3063 in your text for tomorrow and we'll see you then!