Updates for 2019

This is a brief update to let you know that I’m still alive. I appreciate the inquiries.

I considered writing a question-and-answer section here, but it was completely insufferable. Needless to say: I haven’t been writing, now I am. I had to spend some time remembering first. Feel free to ask questions in the comment section. I’ll answer them. I’d also appreciate suggestions, by which I mean things I promised to write and didn’t and/or whatever else you’re interested in.

The rest of this is housekeeping.

I replaced the list of history books with a Top Posts & Introduction section, because it felt like there needed to be a directory of some kind. Feel free to offer suggestions or critiques of what I chose to put there.

The history itself was moved to a side-blog, Tauromachy. There are only a few posts there – you’ll notice it stops at around the same time this one does – but I’ll be picking that back up, too. I was waiting to announce it until there were more posts (I did post it on the patreon feed, just not publicly). It will be much shorter pieces, mostly just updates on books. Broadly, the interest is still in forcing myself to actually read the history I should read. More granular interests are 1) historiography and philosophy of history, 2) the history of mathematics as applied to social phenomena.

Samzdat writing plans:

I’m going to finish the Plato series, though it may take some detours. I wasn’t satisfied by the explanation of valuation at the heart of modern policy. Given that this blog is entirely about valuation, that’s a problem. At some point after that I’m going to return to the main mathematics series. I started that prematurely, and the tempo wasn’t correct.

The scraps posts were a good idea I didn’t stick with. That was foolish. I’m bringing them back.

The best book I’ve read lately is Stone Tools in Human Evolution. Other contenders are The Passions and the Interests, and some of the essays in Statistical Models and Causal Inference (e.g. here).

The blog will continue now. Ask or suggest below.

Love and Happiness

irving finkel

You’ve got to be very careful if you don’t know where you are going, because you might not get there.
-Yogi Berra

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The previous essay was inescapably dense, the abstract territory was by nature abstract, the subject matter happened to be the entire past year of this blog. I think the technical language of the past blog was necessary, but it’s a good habit to try to parse things more carefully, and a few readers have asked me to do so. Moving slowly and picking at specific claims:

We care more about “love” than we care about “the number of desks in Montana with gum stuck to the bottom.” Here’s your question, it’s so basic you want to avoid it, but avoiding it is the entire problem: why?

“Words don’t have set meanings” isn’t anything close to an original thought, but it’s very easy to forget. If you bother to read [anything], you’ll find a shocking number of people coming to terms with that fact. I won’t be able to write anything better than SSC’s The Categories Were Made For Man, so I’ll just link that. Keeping that in mind: Properly speaking, you mean one specific thing called love, it may have a material correlate, may have an action associated, whatever. All that means that whatever is “valuable” there isn’t the word itself, nor another group’s definition of the word, but [this specific definition of love]. The question is this: how do you study that?

I generally dislike the phrase “presumption of objectivity,” because a) the stronger form applies to 16 year olds and almost no one else, and b) the weaker form isn’t a very interesting observation. Overconfidence is bad, sure, but certain types of knowledge are more or less accurate, and some might even be truer. All of the really interesting parts of epistemology come from trying to figure out how that is possible without objectivity, not blankly stating that objectivity don’t real. I think of this as the equivalent of yelling about hypocrisy without ever putting forth a positive platform, but your mileage might vary with that metaphor.

Still. Presumption of objectivity is a problem, but it’s a problem in a particular way. Everyone knows that presuming an end will color the entire study, and about 5% of academics even try to avoid that. Fewer people recognize that assuming a certain method of studying something does the same thing. One reason I prefer the language of “paradigms” for philosophy is that paradigms imply a methodology, and methodology is where this sets in. Different philosophical schools have different standards of evidence – falsifiability for the Popperians, apodicticity for the Aristotelians – that imply what you can know about a thing. In turn, this is going to change the meaning of the concept being investigated. You can’t investigate the same “God” under Popper that you can under Aquinas, but the God of Aquinas is much more important to people.

Show, don’t tell, let me give you a basic example. Continue reading “Love and Happiness”

Slightly less than truths. IV-V.

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continued from here. note: this is doing a lot of groundwork, so it’s pretty dense.

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Philosophy may or may not be useless, I say we showed the opposite. Why?

Book IV:

And Adeimantus interrupted and said, “What would your apology be, Socrates, if someone were to say that you’re hardly making these men happy, and further, that it’s their own fault – they to whom the city in truth belongs but who enjoy nothing good from the city as do others, who possess lands, and build fine big houses, and possess all the accessories that go along with these things, and make private sacrifices to gods, and entertain foreigners, and, of course, also acquire what you were just talking about, gold and silver and all that’s conventionally held to belong to men who are going to be blessed? But, he would say, they look exactly like mercenary auxiliaries who sit in the city and do nothing but keep watch.”

“Yes,” I said, “and besides they do it for food alone; they get no wages beyond the food, as do the rest. So, if they should wish to make a private trip away from home, it won’t even be possible for them, or give gifts to lady companions, or make expenditures wherever else they happen to wish, such as those made by the men reputed to be happy. You leave these things and a throng of others like them out of the accusation.”

“Well,” he said, “let them too be part of the accusation.”

“You ask what our apology will then be?”

“Yes.”

“Making our way by the same road,” I said, “I suppose we’ll find what has to be said. We’ll say that it wouldn’t be surprising if these men, as they are, are also happiest. However, in founding the city we are not looking to the exceptional happiness of any one group among us but, as far as possible, that of the city as a whole. We supposed we would find justice most in such a city, and injustice, in its tum, in the worst-governed one, and taking a careful look at them, we would judge what we’ve been seeking for so long. Now then, we suppose we’re fashioning the happy city – a whole city, not setting apart a happy few and putting them in it…”

A) The comedic timing here is gold.

B) Socrates responds with two distinct arguments. “It wouldn’t be surprising if they were the happiest (because you have no idea what happiness is), but anyway we only designed this city for justice (so why are you trying to change the design?).” I’m going to focus on the latter (design), but the former (happiness) will be important for everything here on out.

C) Question: what is the ultimate purpose of the noble lie? “To raise the guardians to protect the city.” What’s the point of the guardians? “To make the city function.” What’s the point of the city functioning? “To obey its rulers.” What’s the import of the rulers? “Only they craft and enforce the city’s customs.” Fine, why do we need those customs? “So that the guardians can be educated into guarding the city.” Yeah, but why do we need them to guard the city? “So that it can function safely.” For what? “Sorry, isn’t it obvious? For justice.”

But we defined justice as the city functioning. Continue reading “Slightly less than truths. IV-V.”

Two

on the book of samuel and samizdats

Prado_-_Los_Desastres_de_la_Guerra_-_No._77_-_Que_se_rompe_la_cuerda

a late introduction

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I haven’t been writing much lately. Like many people I waffle between open hostility and absolutely crushing sadness re: Earth and its artifacts. I write better when hostile, but hostility requires an enemy, and the hopelessness of it all brought on whatever it is that other writers have other metaphors for. I tend to say “the feeling of humidity in a dry climate,” and  I trust that people who know what that means know what that means. A few readers noted it in the nihilism article, they were right. I gather this has been going around, I hope you’re all doing well. Still, it’s either break out or there’s a decent chance that I’m never going to update again. Forgive the introduction while I try to jump-start this blog again, I need to remind myself what I care about. There are many new readers since the last one, and they ask good questions, and I have thoughts and answers to write. Besides, they keep asking about the name.

Sam[]zdat is a pun on the Soviet samizdat and Sam’s data (/sæmz/ in Common Yank). The Sam in question is the prophet Samuel. The data in question is the Book of Samuel. It may as well just be called “blog,” because the name is a description of writing on the internet. Accordingly, this is less about resolving anything than just trying to draw out a couple of images.

Early Israelites were governed by judges – highly localized, tasked with interpretation of law and dispute, without the political power of neighboring kingdoms. This lead to local abuses (Samuel installs his unfit sons), but it didn’t threaten the entire people. Still, the dangers piled up, and the abuses piled up, and a kingdom serves for glory that the regional council does not. They tell God to give them a king.

The Host of Hosts makes clear what will happen:

10 Samuel told all the words of the Lord to the people who were asking him for a king. 11 He said, “This is what the king who will reign over you will claim as his rights: He will take your sons and make them serve with his chariots and horses, and they will run in front of his chariots. 12 Some he will assign to be commanders of thousands and commanders of fifties, and others to plow his ground and reap his harvest, and still others to make weapons of war and equipment for his chariots. 13 He will take your daughters to be perfumers and cooks and bakers. 14 He will take the best of your fields and vineyards and olive groves and give them to his attendants. 15 He will take a tenth of your grain and of your vintage and give it to his officials and attendants. 16 Your male and female servants and the best of your cattle and donkeys he will take for his own use. 17 He will take a tenth of your flocks, and you yourselves will become his slaves. 18 When that day comes, you will cry out for relief from the king you have chosen, but the Lord will not answer you in that day.”

19 But the people refused to listen to Samuel. “No!” they said. “We want a king over us.”

As a side note, most of human psychology – at least the interesting parts – can be found in that passage. Continue reading “Two”

Democracy Scales Are Still Bad, and Four Panicked Suggestions

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related to: Enter a search term, e.g. “democracy” and Everything is Going According to Plan

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The last essay I wrote can be summed up in a sentence: measurement won’t tell you anything unless you know what you’re measuring and why you’re measuring it. This seems obvious and reasonable, which is why it invariably attracts criticism.

There are two bad responses and one good:

“We teach this in 101, you’re not saying anything new.” On the contrary, I’d have no reason to write any of this without the catastrophe of modern academia. Anyone remotely invested in the advancement of human knowledge and/or the use of that knowledge should be screaming right now.

“It’s the fault of media.” This is partially true, inasmuch as the media picks and chooses and can’t read a study to save its life, but even a good review of the evidence would be bad because the evidence is bad.

The more interesting, approximating a comment so as not to put anyone on blast: “Numbers – even imperfect approximations of qualitative judgments – are still a helpful tool for making judgments. For instance, APGAR scores rely on some degree of qualitative opinion enumerated, but they have a definite use and it would be bad to lose them. You’re overplaying your hand by attacking them as inherently bad.”

Normally I’d  just reply to the comment, but I have a feeling I’ll be using these democracy essays going forward and I want to get it clear. Continue reading “Democracy Scales Are Still Bad, and Four Panicked Suggestions”

Enter a search term, e.g. “democracy”

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The Economist: Democracy continues its disturbing retreat

The US has been classified as a “flawed democracy” by the Economist Intelligence Unit (EIU)’s Democracy Index for the second year in a row. First, in 2016 (study released 2017), and now 2017 (released 2018). I’m going to privilege year under study and call the first the 2016 report and the second the 2017 report.

The global picture and a bonus briefer on our shortcomings:

Almost one-half (49.3%) of the world’s population lives in a democracy of some sort, although only 4.5% reside in a “full democracy”, down from 8.9% in 2015 as a result of the US being demoted from a “full democracy” to a “flawed democracy” in 2016 (see Democracy Index 2017 by regime type, page 2). Around one-third of the world’s population lives under authoritarian rule, with a large share being in China.

Here’s the report (pdf), methodology at the bottom. The Economist Intelligence Unit’s Democracy Index scores countries between 1-10 based on five factors: electoral process and pluralism; civil liberties; the functioning of government; political participation; and political culture.

You might wonder how one measures any of that, and you would be right to, and I have nothing to offer you but confusion. Apparently, the EIU uses both “public opinion polls” and “experts.” Since I cannot find any information on the specific experts – the website gives me all analysts, the editor of the report, and no further information – I’m guessing this means “some suits + World Values Survey.” No, I am not joking:

A crucial, differentiating aspect of our measure is that, in addition to experts’ assessments, we use, where available, public-opinion surveys—mainly the World Values Survey.

Here’s how countries are scored:
10-8 =  Full democracy.
8-6 = Flawed Democracy.
6-4 = Hybrid Regime.
4-rekt = Authoritarian.

In 2016 the US dropped into the “flawed democracy” category, and this trend continues. You might wonder “dropped how” and the answer is .02 democracies, because as of 2017 we’re a 7.98. No, I have no idea what that means either. According to the report, we’d been teetering on the edge for a while due to low confidence in institutions, and that finally pushed us over.

This is presumably a worrying trend or something, although I have no idea what it’s a trend of. Still, it’s a relatively minor fall with many causes and we should probably keep our heads cool. It’s worth noting that if we were downgraded due to trust in the system, inaccurately reporting that the US government is no longer democratic probably isn’t the best way to rectify that.

These are the best democracies in the world — and the US barely makes the list

America falls short of being a full democracy for second year running, report finds

And, finally, from Democracy Dies in Darkness itself:

U.S. democracy is in grave danger, a new Economist report warns Continue reading “Enter a search term, e.g. “democracy””

Everything is Going According to Plan

on nihilism

transfigurations7

note: this is very long.

You taught me language, and my profit on ’t
Is I know how to curse. The red plague rid you
For learning me your language!
-Caliban, The Tempest

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Their ideals had begun to turn on them.

If you want to be a philosopher about it, the problem is being vs. becoming, Heraclitus’ Fire and Flux vs. Parmenides’ Oneness and Rest. Plato unites these, so the story goes. This isn’t exactly true, but it’s close enough: the very highest things are Being, so eternal, and the very top of that is the Form of the Good. The lower things of this world are becoming – shadows in the cave – but they partake in Being via the forms. Man has two natures – flesh and soul – flesh is becoming and soul is being. The best human life, then, is one that partakes in the eternal, and especially in the form of the good. Normally, this is just called “Truth.” It’s important that this work in a particular way: if there is no access to being, then all our knowledge is shadow and wind. This worked out very well for us for a time, truth was a fine friend, it even gave us a God or two for when the nights were particularly nocturnal.

Then the first problem: Truth unsettles everything around it. Empiricism is a very effective way to pursue our ideals, and it pursues them right off a cliff. Turns out there is no metaphysical ground, atoms in a void, many worlds in the multiverse and the You in each of them is terrified and confused. Theoretically, you were supposed to find a sobering and harmonious universe. What you find is a teenage goth’s wildest fantasies: there is no heaven, there is no God, there is no meaning, morality is arbitrary, justice is the will of the stronger, humans are self-deceiving moral monsters, fuck it, I’ll be a gnat next life. But you can’t just lie, that’s still wrong for poorly understood reasons, we can’t go back.

We want a reason to exist, so that’s a bummer, but not really the end of the world. I guess you can just mope or something, Siouxsie was pretty cool. So you Phil 101: “Humans determine their own meaning.” Blatantly untrue if you’ve talked to one, but I understand the significance of the words. It’s a subjective phenomenon, we are subjects, maybe meaning [static and wails]. I don’t even disagree, I just don’t think you understand. Not only did you not make that choice, it’s not even the right one. “How wondrous to exist and Sisyphus really digging the struggle,” is no meaning at all, it’s too abstract, it’s both flabby and hollow at once, it’s only possible for a weakling to raise it because it’s so empty. Everyone wants “good things” and is quite sure that “good things” are rather important. Does that help us coordinate for the specific goods we want?

Here’s your second problem: Truth unsettles itself. What truth does find doesn’t look much like its first mandate. Not only are there no Platonic Forms, there’s nothing that even resembles objective truth. The human mind evolved to lie to itself, to interpret according to experience, but even checking experience against experience is merely the best approximation of a human experience. It may be our best interpretation, but scientific truth is just an interpretation conditioned by the creature experiencing it. No, sadly, there aren’t better ones. Trust me, I’ve looked. Without Platonism you’re screwed for the deep deep grounding. This should change something maybe, if there’s no moral purpose and Truth is just an interpretation then why not discard it for happiness? Deepak Chopra seems like he has a pleasant outlook – I imagine it’s much like thought thinking itself through a lukewarm bath. That it’s “wrong” is no count against it if you can’t justify your own truths, but you still can’t seem to lie to yourself.

Good instinct. But also why silent black screen, slow rise of a single note, cigarette-voice: Their ideals had begun to turn on them.

Here’s your third problem: it is hard to be a creature of becoming that understands being. We judge ourselves by unrealistic standards. “Understands.” Now you know that’s a ridiculous problem to have, an artifact of evolution, just some cave-man shit. Does that make it go away? It’s the thought of it that hurts, not its reality. Zeus isn’t real either but it’s the reason you understand why Homer made Zeus judge: “Of all the living creatures, man is the most wretched.” You are a creature that has some notion of ephemerality, some desire to be more-than-that, and finally the knowledge that this is impossible. Eat up. Continue reading “Everything is Going According to Plan”

In which there are ghosts

Plato is hard, so let’s shitpost about art.

allmonsters

relatedThe Guardian’s Inferno and Notes on Values

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Plato is hard, so let’s shitpost about art.

SSC writes a response to The Good Guy/Bad Guy Myth by Catherine Nichols. Nichols’  piece claims that good vs. evil stories are distinctly modern, older tales were more ambiguous, this was a causal factor for modern nationalism and subsequent atrocities.

On one hand, I don’t want to look a gift-horse in the mouth. I’m in favor of Old Books, they are indeed complex, thanks for the backup. Nichols’ underlying premise is worthwhile: a) Myths and epics and fairy-tales have a moral complexity and ambiguity we casually ignore; b) There has been a genuine shift in values, and while Christianity was part of it, the after-effects of the industrial revolution are much more relevant for our current society.

On the other, I agree with Scott’s criticisms. The historical argument presented is wild. The Spanish conquered most of the Americas between the 16th and 17th centuries under the pretense of moral ineptitude and evil among the natives. They had to be forced into enlightenment, which meant murder, torture, and slavery. Bartoleme de las Casas is considered more rhetorical than accurate, but he says some true things. Here’s his book A Short Account of the Destruction of the Indies: there’s a lot about feeding people to dogs and slaughtering children for fun, sometimes both at once.

Then again, maybe the Spanish were just early adopters. Pierre Menard (PDF) or Miguel Cervantes wrote a book about simplistic values in literature causing illusory political actions way back in 1604:

And so, having completed these preparations, he did not wish to wait any longer to put his thought into effect, impelled by the great need in the world that he believed was caused by his delay, for there were evils to undo, wrongs to right, injustices to correct, abuses to ameliorate, and offenses to rectify. And one morning before dawn on a hot day in July, without informing a single person of his intentions, and without anyone seeing him, he armed himself with all his armor and mounted Rocinante, wearing his poorly constructed helmet, and he grasped his shield and took up his lance and through the side door of a corral he rode out into the countryside with great joy and delight at seeing how easily he had given a beginning to his virtuous desire.

The Aeon piece is factually incorrect, its timing is screwy, fine. That’s not my problem.  The essay set off a very particular panic point for me.

In making the case that we have a simplistic good/evil binary, it set up its own – nationalist/liberal, politically bad/politically good, whatever you want to call it. Nazi references rule everything, it was not subtle. It argues against art as a tool for training moral values – which I happen to agree with – but makes it, instead, a political tool. Not that she wants that, because she doesn’t, but that it can do that, and thus that art which does such a thing is bad art.

In other words: it uses a political reason to brand certain types of art as “bad.” Continue reading “In which there are ghosts”

Platonism without Plato

alphaville1.PNG

coming from here

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Pythagoras assigned cyclical motions to the planets. Circles are eternal, and thus the motion most suited for the motions of the heavens. This essay is about circles, as well, albeit the more homely human kind. It’s about racing so far in one direction that you wind up back at the get-go.

All theories have assumptions, all assumptions lead to their own conclusions. Inconsistency is not bad for the sin of pride, it’s bad because it makes you wreck yourself in conversations. Worse is inconsistency with power for reasons that are too obvious to lay out, [Goya etching here], etc.

This blog has recently been focused on the epistemology of mathematics. It has interesting and far-reaching consequences, but it’s often ignored as meaningless specialist nonsense and/or ivory tower shit.

Those consequences are the real interest, and I’ve explicitly stated that the end is modern phenomenology. But to get to [anything modern] you need Kant, to get to Kant you need Hume, to get to Hume you need Idealism, to get Idealism you need Plato.

Platonism (in math) is, essentially, the position that mathematical objects are real. They are as “out there” as a planet is “out there” (just not in space-time, spoiler alert). Because it’s hard to really precise this, here’s (hilariously) an entire appendix of people defining it.

Naive versions of Platonism are astoundingly common when it comes to the epistemology of mathematics. These aren’t “wrong” per se, they just lead to consequences counter to what we tend to want. I’m pretty sure this is because mathematics is secure enough that it’s the very last metaphysical “thing” we want to deny. The denial also leads to tricky questions about the physical sciences, i.e. the point of this series. Thus, we’re a lot more willing to grant ontological primacy to mathematics than we are to, say, “beauty” or “virtue.”

But also: Plato himself is a necessary nightmare to talk about. He’s a great example of why one should read primary sources, because “platonism” is historically sideways. This is bad enough that I have to write two separate articles. This one is on “Platonism.” The next will be on Plato.

When we talk about Platonism now, we’re not actually talking about a 4th century BC philosophical school. We’re talking about a 20th century one. Godel absolutely stomped the early analytic schools, and everyone wandered in a daze looking for a new position. Kind of, this is bad history, don’t @ me. I’m not going to get into that because [long] and [besides the point], but it’s consistent that Godel himself was a devoted Platonist.

It’s quite popular, so note that any criticisms I make will 100% have objections and counter-arguments. Platonism is the plurality position by this survey (PDF) of philosophers. (Q: Abstract objects: Platonism or nominalism? Results: Abstract objects: Platonism 39.3%; nominalism 37.7%; other 23.0%.) Since it says “abstract objects” rather than “mathematical objects”, that probably confounds full-blooded Platonism (“all abstract concepts exist”) with mathematical Platonism (“at least mathematical objects exist”), but I’ve yet to meet someone who thought that the abstract concept “beauty” is real but numbers are not. In other words, that 39.3% almost certainly covers all mathematical Platonists.

If I get around to talking about the analytics (way later), I’m going to have to return to Platonism, i.e. this is incomplete. I’m much more interested in arguments mustered for naturalism on Platonic grounds, both as a personal preference and for subsequent articles. Less in arguing for or against Platonism than in showing some of the consequences, and for those we basically assume it’s true. After all, this series begins with the question: “Why does math work in reality?” and Platonism is an answer to that question. It works because math is real, it doesn’t matter how frail the human mind is, somehow we frailed our way into the Truth of the World, take it and run.

Still, there’s a reason that a shocking number of otherwise-impartial descriptions of modern platonists use phrases like “bite the bullet” to describe their admissions. The consequences of the argument are wild, and for that one actually can turn back to Plato. It matters less whether he himself believed it than it does that he develops some of the results and, even if ironically, these went on to have some super weird consequences.

You might ask why start with Platonism, then. Long story short: [history] happened, modern Platonism is enough like what pre-modern philosophers were responding to that it’s basically fine. There was a long historical bit here, but it’s been banished to an appendix for taking up space without moving the argument forward.

I’ve praised the virtues of careful philosophical argumentation. In an act of stunning hypocrisy, I will now write a very reckless article about Plato and Platonism.

This is because I want to. Continue reading “Platonism without Plato”

On a Particularly Difficult Question

haxan1
coming from here

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Let’s start this with an obvious question: “Why are you so concerned with math?”

It has to be answered for any description to make sense. Looking back, it does appear that my interest is just because of Kant’s interest. No, and:

It’s not good that our root instinct is a lazy Cartesian skepticism, but it does make my job easier. That was something earlier writers had to inflict; it being the default lets us move quicker.

Ask a college kid what Truth capital T is and they’ve already absorbed the right lessons: truth is a construct determined by your culture’s valuations and epistemic suppositions, therefore we’ll never be able to actually arrive at the Truth. “It’s subjective.” Moreover, logic is dependent on language, which is dependent on culture; reason needs categories to manipulate, which are dependent on [relative thing]; trying to interpret the empirical world is a problem because you can never step outside yourself, data isn’t “there,” it must be uncovered, hence the flaws of naive science.

I say this like I’m mocking the arguments, but I do really mean this is the correct way to start. Not only are we in the cave, that cave is in a metacave. Don’t trust yourself to trust the outside world, reason splinters out of a bunch of psychological flaws and biases, inner fickledom influences outer fickledom, there is a great gnashing of teeth.

Nietzsche, who I will quote this once and then avoid until [distant post]:

Once upon a time, in some out of the way corner of that universe which is dispersed into numberless twinkling solar systems, there was a star upon which clever beasts invented knowing. That was the most arrogant and mendacious minute of “world history,” but nevertheless, it was only a minute. After nature had drawn a few breaths, the star cooled and congealed, and the clever beasts had to die.

One might invent such a fable, and yet he still would not have adequately illustrated how miserable, how shadowy and transient, how aimless and arbitrary the human intellect looks within nature.

We should be extremely skeptical that the human intellect can touch on anything True, much less even vaguely functional. I do mean that as a starting point: get as deep into skepticism as you can, or else what follows won’t be as baffling as it should be.

If human reason were worth a damn, there would be no question about the status of math. Only in light of its complete and total vapidity do we realize how baffling it is that Leibniz can think about geometry real hard, Maxwell can apply that hard thinking, and now we have computers. Continue reading “On a Particularly Difficult Question”

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