How dice changed over 2k years to be more fair (2018)
sciencedaily.com
sciencedaily.com
Going by the principal that people in the past weren’t dumb, just different, and had less access to information, I’m not convinced by the conclusion “they didn’t understand the odds, it was up to the gods”.
That may be true for Joe Legionary losing his pay every week over dice, but you can bet your ass that the guy running the game, who probably supplied the dice and maybe even made them had a very good idea of how unfair they were.
We do see development in ideas over time, but this is separate to the idea that if we don’t understand what they were doing then it must have been religion. Arguments to religion are a classic trope in archaeology. Although this doesn’t explicitly mention that this is the case, I think it’s worth pointing out that people would have known that all dice were fair, but some were fairer than others.
Of course, he was trying to be provocative, but I took issue with the presumption of universality. When I wrote to remind him that Plato briefly discussed atheists in The Laws, implying that atheism among young adults was common, though invariably transitioning to adherence to the local faith as they grew older and wiser[1], he replied with, "Oh, yeah, I forgot."
[1] Of course, there's multiple ways to interpret Plato's argument, including 1) older, wiser people came to see the truth of the existence of the gods and 2) older, wiser people came to see the usefulness of shared belief in the gods, regardless of the actual existence of the gods.
https://webcache.googleusercontent.com/search?q=cache:xy3Gbf...
> There is no current evidence of his present existence, but to deny that he existed in his Grecian heyday we need to assume that there was no good evidence for his existence available to the ancient Greeks. We have no reason to make this assumption.
I would certainly be very surprised if the ancient Greeks had found a widely-used, accepted and accessible proof for the existence of (a) god, and no one of the classic philosophers even mentioned it in passing.
https://slatestarcodex.com/2020/06/01/book-review-origin-of-...
It's an interesting hypothesis, but seems roughly as valid as Erich von Däniken's Chariots of the Gods?, that is, not valid at all. Were there any validity to the claim at all, we should be able to find supporting evidence in, say, the brain function of lower primates. It ain't there.
Being an "atheist" then may not have meant the same thing as what being an atheist now means:
* https://en.wikipedia.org/wiki/Atheism#Classical_antiquity
Aristotle for one did not believe in the traditional pantheon that we associate with Ancient Greece, but certainly did believe in the Unmoved Mover; or, probably more actually label Unactualized Actualizer:
* https://tofspot.blogspot.com/2014/07/first-way-some-backgrou...
* https://tofspot.blogspot.com/2014/08/first-way-moving-tale.h...
IIRC, the relevant portions I had in mind are Book 10 of The Laws. It seems the translation I read that uses atheist literally I only have in hard copy in a box somewhere (I only have The Republic in both hard copy and Kindle format[1]), so can't quickly identify the specific paragraph and provide a reference to other online translations (and the original Greek). But here's an example excerpt from Book 10 at http://classics.mit.edu/Plato/laws.10.x.html that makes the meaning clear:
> For do but mark the effect of their words: when you and I argue for the existence of the Gods, and produce the sun, moon, stars, and earth, claiming for them a divine being, if we would listen to the aforesaid philosophers we should say that they are earth and stones only, which can have no care at all of human affairs, and that all religion is a cooking up of words and a make-believe.
Also, to reiterate smogcutter's point, in the absence of counterveiling evidence, we should assume that our meaning of atheism (the concept, not necessarily the literal term) and of similar beliefs along the spectrum of divinity and mysticism are substantially similar to their meaning at any previous point in time, modulo the finer details, implications, etc. There is scant evidence that basic concepts are gatewayed or shaped by language or cultural context; at best the evidence only shows that language and culture work at the margins, modulating significance, popularity, etc.[2] More generally, we have a tendency to dehumanize and belittle people that we cannot identify with or only understand in caricature, and people from antiquity and earlier are perfect examples of such people. When we have the wherewithal to recognize the situation, our default, baseline assumption should be that one person's experience is the same as any other's, at least in the broad strokes.
We should of course be open to contrary evidence, and restrained in how we extrapolate. But in this particular case of the existence and import of atheism, there isn't any, AFAIK. What evidence there is bolsters the argument that the concept not only existed but was substantially similar, regardless of popularity. Even if you don't take the literature at face value, it strains credulity to believe people could conceptualize abstractions so close but that nobody could arrive at the idea that a) gods don't exist without b) substituting gods with some other mystical component instead of being contented with the unknown. Undoubtedly many, perhaps most--including Socrates and Plato--did perform the substitution, but surely some did not. Today you don't get published for the absence of any answer; you get published for providing firm, provocative answers. I'd bet the same was similar back then--nobody copied a scroll that says, "The gods don't exist. Full stop." You get copied for saying, "The gods don't exist. Instead, the universe was created by [insert provocative theory]."
FWIW, I don't identify as either atheist or agnostic. I took my adolescent Catholic confirmation vows with eyes wide open, including the understanding that it would always be a struggle to maintain them and to maintain a distinction between my analytical, empirically-grounded beliefs (and non-beliefs); my culturally American beliefs about equality, fairness, and respect for diversity; and my mystical beliefs and practices. But that in no way means I can't or don't fully understand or appreciate modern atheism and its implications and benefits. It doesn't even mean I can't believe in it, in the sense of applying it practically. So, for example, that Socrates was a devout worshipper isn't particularly persuasive on the question of whether Socrates could or did conceptualize of an atheism as we understand it. What's persuasive is that in making arguments that walk like a duck and quack like a duck, he may have had in mind a duck. Applying something like smogcutter's principle: if I can hold onto and apply a complex, multifaceted, and seemingly contradictory set of beliefs and concepts, the most intellectually honest and morally humane presumption is that Socrates, Plato, and others could, as well.
[1] Searching for "atheist" in Harold Bloom's translation of The Republic returns a hit for footnote 6 of Book IV: "The charge of studying the heavens was a serious one; astronomers tended to be atheists and were accused of so being. They gave mechanical accounts of the movements of the heavens, denied that the Sun and the Moon are gods, etc. They sought out what should be left inviolate. In the accusation of Socrates heavy weight was given to the allegation that he studied the heavens; it is not casual that this speech is presented as an apology." Bloom is a controversial figure, and I'm not trying to use this footnote as evidence for usage in The Laws--that context speaks for itself, IMO. I'm just pasting this here because, at the very least, it shows that there are alternative interpretations of the extant material than those cited in the Wikipedia article you mentioned. And in any event, arguing that atheism was a broader and more imprecise label in antiquity is different and far less dubious than arguing that the stricter concept the label implies today was non-existent back then. The certitude in the cited scholarship strikes me as denigrating. It's one thing to emphasis and appreciate cultural diversity, especially as a way to avoid biased analysis, but when it implies an intellectual or cognitive constraint alarm bells should ring.
[2] See, e.g., the Sapir-Whorf hypothesis and associated research. AFAICT, the weight of evidence is substantially against the original, strong hypothesis. The supporting research is thin and weak, if not debunked entirely. It only seems to survive in a substantially weaker form--the dynamic exists, but not in a way that justifies the original thesis that language gateways critical concepts.
At least in my country, where lottery is quite a big event especially in Christmas (almost everyone plays at that date, even if they don't play during the rest of the year), most people without a STEM background tend to believe things like lottery numbers starting with 0 being more unlikely to win, odd numbers being better than even numbers, or numbers that have already won being more likely (or unlikely) to win. They also queue to buy tickets at places that gave a big prize, thinking that they have a better chance to win (and funnily, since lots of tickets are bought at those places, it becomes a pseudo-self-fulfilling prophecy - they don't really have a better chance, of course, but those specific places keep pumping out prizes year after year due to the volume of tickets sold).
I don't think those beliefs of our era are much more advanced that just attributing it to "the gods".
https://journals.sagepub.com/doi/full/10.1177/17456916187742...
For example people not understanding that Trump's chances of getting elected were actually pretty good in 2016. FiveThirtyEight consistently showed that he had at roughly 25% chance (i.e. 1-in-4):
* https://projects.fivethirtyeight.com/2016-election-forecast/
I don't know about other people, but I wouldn't want to play Russian roulette with those odds. It should also be noted that Clinton did win the popular vote, it's just that ~70K of the votes were in the "wrong places" so Trump won the electoral college:
* https://en.wikipedia.org/wiki/United_States_presidential_ele...
I guess it depends on how good 'very good' is. We can be certain that gamblers did in fact misprice various things - after all, Pascal and much of the early work on probability theory was motivated by differences among gamblers about what payoffs were correct (eg 'the problem of the points'), and there are examples of very important things like lotteries or life insurance or annuities being mispriced (eg how Voltaire made his fortune).
> When dice reappear around 1100 they are predominantly in the "primes" configuration, where opposite numbers tally to prime numbers (1-2; 3-4; 5-6)
Does this have really anything to do with primes? It looks like they simply chose sequential numbers.
https://www.reddit.com/r/askscience/comments/4t4o3a/do_the_h...
https://books.google.ch/books?id=pGRsCQAAQBAJ&pg=PA258&lpg=P...
Nevertheless, the role of geometry in probability became clear to me when I read about Fano Planes and their role in winning Transylvania lottery [0,1].
[0] https://en.wikipedia.org/wiki/Transylvania_lottery [1] https://en.wikipedia.org/wiki/Fano_plane
Indian four-sided dice:
https://averweij.web.cern.ch/averweij/india.htm
Two-sided dice (cowry shells) for Indian Pachisi- they are terrible!
https://joyofplaying.wordpress.com/play-by-rules/164-2/
More binary dice for the Royal Game of Ur:
How dark these ages weren't. I'm always a bit sad to see such an obviously polemical term used to describe the period.
I’ve always been curious as I studied the Classics (Greece and Rome) and then European History (which in American high schools is 1400AD+).
I have no insight into that intermediate period.
> As the accomplishments of the era came to be better understood in the 19th and 20th centuries, scholars began restricting the "Dark Ages" appellation to the Early Middle Ages (c. 5th–10th century),[6][7][8] and now scholars also reject its usage in this period.[9] The majority of modern scholars avoid the term altogether due to its negative connotations, finding it misleading and inaccurate.
Relevant excerpts:
> The term employs traditional light-versus-darkness imagery to contrast the era's "darkness" (lack of records) with earlier and later periods of "light" (abundance of records)
> As the accomplishments of the era came to be better understood in the 19th and 20th centuries, scholars began restricting the "Dark Ages" appellation to the Early Middle Ages (c. 5th–10th century),[6][7][8] and now scholars also reject its usage in this period.[9] The majority of modern scholars avoid the term altogether due to its negative connotations, finding it misleading and inaccurate.
Apparently recently there's an aversion to using terms like "dark ages", because they imply the period between antiquity and the renaissance was poorly recorded or objectively worse, and historians shouldn't make value judgements, they should just accurately account for what happened in any given period.
I do get that, and I'm no expert, but... It sure seems to me like things were a whole lot objectively worse during the dark ages. Literacy, trade and all kinds of other objectively good things were replaced by more or less complete chaos, constant fighting between countless warlords, plagues...
Like yes the large empires of antiquity did their own share of fighting and other bad things but regular people within any given empire seem to have had better lives than more or less anyone during the dark ages.
Would love to be corrected because I love learning about history!
We know a lot happened in those times but very little detail - e.g. the location of Brunanburh
It was actually an interesting time to be in Asia around then.
John Green does an excellent "Crash Course History" video on the topic if you're interested.
I guess "The Dark Ages" evoked a more universal idea that there was no progress anywhere while the "Warring States" period is understood to be more local.
But personally, I was bringing to light arguments I've heard against calling it the Dark Ages.
Don't have a personal axe to grind either way.
At the other end of the spectrum of historical imbecilities is the idea that nothing interesting happened between the fall of Rome and the Renaissance, which is horse shit of a different nature. The 1200s, right before the black death were an obvious peak of European civilization. They invented all manner of things, started the Cathedral schools, invented the scientific method, made amazing, great and beautiful art, the population of the continent was never larger (until 1840s/industrialization basically) and there was all manner of trade, literature, territorial expansion (reconquest of Iberia, Christianization of the North) and so on. Noticing this makes many people buttmad, I guess because it's so .... Christian. They like to think it's a straight line from Galileo to smug yutz New York Times columnists I suppose.
Most people's views of history is pretty cartoonish; even educated people, and the cartoon they carry around is generally a basket of political ideological nonsense.
Some people see something fashionable about rejecting this term because relativism is 'in' these days, but it's perfectly fitting considering the reality. Some times are bright. Some are dark.
Western culture comes from the Western Roman Empire.
In the end, the modern name of "Byzantine" seems to be misplaced - these people were the Romans.
And in Italy that's not the Dark Age, it's Medioevo / Middle Age. No negative connotation in the name even if it's felt as a slump (I'm from Italy) compared to the Roman Empire period and the centuries from 1200 when Italy became again one of the centers of the world. Then the discovery of the Americas didn't play well with being in the center of the Mediterranean Sea.
Both of them can be unfair. Assuming rolling high is better, when 1 and 2 are opposite each other, those faces could be slightly smaller and therefore have a smaller chance of landing on them. This is especially easy with hand-made dice, which are bound to be somewhat irregular.
With "sevens", 1, 2, and 3 meet in a single point. If that point is somehow heavier than the opposite point, you're more likely to roll 4, 5 or 6.
I think I'd actually consider the "primes" arrangement to be superior to the modern one. No idea why that switch was ever made.