![]() 30 Days Hath November: The Ancient Magic (and Modern Math) of 60 By Heath Shive “Thirty days hath September/April, June, and November/All the rest have thirty-one/Except February.” As a poem, this stinks. As a way to remember numbers, it’s helpful. Math doesn’t have to be profound, poetic, or even comprehensible. Math only needs to be helpful. As science author Brian Clegg writes in his book Are Numbers Real?: “Math, in the end, provides nothing more or less than a set of rules that are used to get from a starting point to an outcome.” And if we have problems with numbers today, imagine what it was like for humanity in the Bronze Age?! How did the ancients get along with numbers? They used the magic of the number 60! And we still do today, sometimes. To the math! The Magic of 60 The modern metric system is brilliantly based on the number 10. And yet in Bronze Age Babylon, the base number used was 60. Why? The number 10 makes sense (10 fingers, 10 toes, etc), right? But 10 is awful for fractions. In the year 2000 B.C., you do not need fractions. Fractions are so abstract, and the real world uses whole numbers. Ancient merchants didn’t sell 1/3 of a camel or 2/7 of a jug of wine. And yet they still needed to be able to divide things up. So they used 60. The number 10 is divisible only by 1, 2, 5, and 10. But the number 60 can be divided by 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. So 60 is just so much more useful! And ancient Babylon did use it. Twelve months to a year. Each month has 30 days. A total of 360 days. Hey, you say, there are 364.25 days in a year! That’s right! That is why ancient calendars threw in extra days with intercalation (or epagomenal days in Ancient Egypt). Where Is the 60? We see 60-base numbers pop up in strange ways: ancient pantheons had 12 gods, 12 signs to a zodiac, 12 tribes in Ancient Israel, 12 apostles, 12 months a year, 30 days a month, 4 seasons, 24 hours in a day, 60 minutes an hour, etc. But you say: Hey, I see more 12 than 60! That’s right. You would almost believe that the number system was based on 12. But no. The number 12 is just the most common (and most accessible for the illiterate) factor of 60! The ancient world used 60 in other ways, especially with money. The talent was a large denomination of money used by Babylonians, Sumerians, and Hebrews. Originally, a talent was divided into 60 minas, and each mina was divided into 60 shekels. Jesus was betrayed by Judas for “30 pieces of silver,” or 30 shekels. And of course, November still has 30 days. Conclusion No one ever invented geometry, algebra, or calculus for fun. Math in all its forms and numeric glory must - in the end - serve a purpose. And after a while, 60 wasn’t useful anymore and was left behind. Ten is the new base number for our society. But back when there was no such thing as a calculator, abacus, slide rule, algebra, or geometry – not even a public school system to teach fundamentals – the number 60 was the world’s math teacher. LIKE SCHOLARFOX ON FACEBOOK! Source: Clegg, Brian. Are Numbers Real? The Uncanny Relationship of Mathematics and the Physical World. St. Martin’s Press, 2016. ![]() How to Brainwash Turkeys…and Maybe Humans Too? By Heath Shive Robert Cialdini wrote what is quite possibly the most influential book in modern psychology, entitled Influence. In its first chapter, Cialdini describes an experiment made by the pioneering ethologist M.W. Fox. Fox noticed that mother turkeys can either care for their young - or they can ignore them. A turkey’s mothering is triggered by the “cheep-cheep” sound of chicks. The more “cheep-cheep,” the more love. Fox used a stuffed weasel (or European polecat) in an experiment. Turkeys and weasels are natural enemies. But Fox found that if a stuffed polecat played the “cheep-cheep” sounds of baby turkeys, then the turkey not only approached a stuffed weasel, but even gathered the stuffed weasel beneath her! When the “cheep-cheep” sound ended, then the mother turkey would attack! We might think it’s inferior that a turkey is so simply programmed. But are humans any different? Do we honestly “think” about all of our actions? To the science! The Norm of Reciprocity If I give you a gift, you feel compelled to give me something in return. A study by Dennis Regan published 1971 illustrates this. Two male students were surveyed for their “aesthetic judgments.” However one of the students was an accomplice - who intentionally either made himself likable or unlikable. After five minutes, sometimes the accomplice would leave and come back with two Cokes…offering the other Coke to the other student. At the end of the study, the accomplice asked the real student if he would like to buy some raffle tickets. The results showed that when the accomplice gave the other student a Coke, he sold nearly twice as many tickets compared with no Coke – whether the accomplice was likable or not! The Endowment Effect You automatically ascribe more value to anything you perceive as “yours.” It’s called the endowment effect. In a 1989 paper, economist Jack Knetsch asked one group of students to choose between a coffee mug and a chocolate bar. Of these students, 44 percent wanted the chocolate bar, 56 percent wanted mug. In other words, the items were roughly equal in perceived value. Knetsch gave a second group only coffee mugs, but they could exchange for chocolate bars later if they wanted. He gave a third group only chocolate bars, but they could exchange for mugs later. About half of the students should have traded the items, right? No! Only 11 percent of the mug-owning students wanted to trade, and only 10 percent of chocolate bar-owning students wanted to exchange for mugs. The vast majority of students didn’t want to part with what they had now that they had (“owned”) it! The Peak-End Rule We judge an experience based on how it ends! Barry Schwartz – author of the fantastic book The Paradox of Choice - cites a lab study where participants were asked to listen to two terribly loud noises. The first noise was awful, but lasted only 8 seconds. The second noise was the same as the first and also lasted 8 seconds…but it was followed by another 8 seconds of unpleasant noise that wasn’t as loud. The vast majority of the participants chose the second noise – despite the fact that it had all the noise of the first, and was twice as long (16 seconds vs. 8 seconds). Conclusion Your mom always told you to think before you act. But “thinking” is a long and deliberate process. Our brain is guided primarily by instincts (shortcuts to decision-making) that are written on our DNA. Whoever knows your instincts knows the “buttons” in your mind. Much of modern advertising and political propaganda is trying to bypass our thinking to control us by instinct. But knowing that there’s a trap is the first step in avoiding it. Mind your thoughts! LIKE SCHOLARFOX ON FACEBOOK! Sources: Cialdini, Robert. Influence: The Psychology of Persuasion. Rev.ed. Collins, 2007. Knetsch, Jack L., "The Endowment Effect and Evidence of Nonreversible Indifference Curves," American Economic Review, 1989, 79, 1277-1284. Regan, D. T. (1971). Effects of a favor and liking on compliance. Journal of Experimental Social Psychology, 7, 627-639. Schwartz, Barry. The Paradox of Choice - Why More Is Less. New York: Harper Perennial, 2004. ![]() Canada’s Stone Cold Success with Immigration By Heath Shive Natives versus newcomers! It’s an ancient dynamic. Immigration usually meant invasion, in the Old Days. And in the Modern Age, some still feel that way, all over the world. But one country found “the sweet spot.” Canada. Jonathon Tepperman wrote a book entitled The Fix: How Nations Survive and Thrive in a World of Decline. In the book, Tepperman uses Canada’s immigration policy as an example to the world. But he is not shy about why Canada adopted its policy – which had a lot less to do with political enlightenment and much more to do with cold, hard political engineering. To the fix! A Cold Truth of the Great White North More than a half century ago, Canada was experiencing economic growth, but it had problems filling the jobs. At that time, Canada was economically healthy, but politically the nation seemed to be falling apart. The separatist movement for an independent Quebec was stronger than ever. And regionally, Canadians were affiliating almost as strongly with their American neighbors – “Nova Scotians with New Englanders, Manitobans with Minnesotans, Alberta cowboys with Montana ranchers” – as they did with fellow Canadians. To solve the shortage of labor in the country, Canada formally abandoned ethnicity as a basis for evaluating immigrants in 1962 – becoming the becoming the first country in the world to do so! But the audacious Prime Minister Pierre Trudeau went a few steps farther with a new super-charged immigration policy. Trudeau thought that immigrants were key to Canada’s future…and unity. Unity…by immigrants? How? Immigrants – once integrated – were more likely to identify with the central government, and greater national identity meant a weaker regional identity (e.g., a separatist Quebecois). And a large flow of immigrants meant a much needed population surge for the 2nd-largest country on earth! But… There’s a Catch “Open arms” did not mean “open border.” Immigration was given a greater governmental focus, but that meant greater stringency for a greater number of regulations. Only certain immigrants would be let in. As Tepperman writes, “Henceforth, all independent applicants for residency – regardless of birthplace or race – would be assessed by assigning them points on the basis of nine criteria, such as education, age, fluency in English or French, and whether or not their skills fit Canada’s economic needs.” Only immigrants who were fluent, educated, and skilled were allowed. No fluency in English or French? No skills? Criminal record? Stay out. Even in Canada, there's no "free lunch." In a speech in October 1971, Trudeau promised that his government would support all cultures – small or strong. But immigrants had to demonstrate “a desire and effort…to contribute to Canada.” Conclusion National integration did not have to mean cultural assimilation – and thus cultural pluralism is born. And in Canada, it works great. Tepperman mentions that, today, over 20 percent of Canada’s citizens are foreign-born – more than twice the number in the United States. (Note: Only 6% of Canada's immigrants are undocumented, whereas around 1/3 of America's immigrants are undocumented. This is the result more of geographic isolation than utopian success.) Canada's policy was not about being “nice.” This was a practical and successful way to make Canada bigger and better than ever by making sure that the better and stronger immigrants went north…instead of somewhere else. LIKE SCHOLARFOX ON FACEBOOK! Source: Tepperman, Jonathon. The Fix: How Nations Survive and Thrive in a World in Decline. Tim Duggan Books, 2016. ![]() War: The Beneficial History of Conquest(?) By Heath Shive The only constants in life are death and taxes. And nothing quite blends these two constants better than war. War is always expensive (and thus needs taxes) and always lethal (and thus requires death). There seem to be 2 dominant emotions about war. War is either a grotesque evil or a glorious expression of ideals. But is war good for anything? And according to nationally renowned history professor Ian Morris, the answer is yes – as long as the war accomplishes one thing. What thing is that? To the history of war! Savage Past, Peaceful Present In the 1990s, anthropologist Lawrence Keeley (author of War Before Civilization) showed that the Stone Age societies that still existed in the 20th century were shockingly violent. Feuding and raiding typically carried off 1 person in 10 or even 1 in 5. Ian Morris cites that by most estimates 10 to 20 percent of all people living in Stone Age societies died at the hands of other humans! Primitive humanity was ultraviolent! Ian Morris makes this comparison. After World War Two, between 1950 and 1974, just 1 Scandinavian in 5,000 and 1 Briton in 4,000 died violently, and while the American homicide rate – 1 in 700 – remained higher than Europe’s, it had still fallen 50 percent since the 1930s. How did humanity decrease its violent death rate by 99% over the course of a few thousand years?!! The answer: War. Conquest Is Good? Ian Morris wrote the fascinating book War! What Is It Good For? The book is over 400 pages long, so it’s hard to summarize his theory in a blog article. But here it is. In the ancient past, humanity was comprised of hundreds of tribes – each with a territory defined by a border. Since war is overwhelming fought along borders against external foes, the more borders that exist the greater the number of wars. But a funny thing happens when your tribe is conquered by an empire! Your tiny wars stop, the tribes are overwhelmed by a new over-arching political identity, tranquility is enforced, and the society becomes more prosperous. Historical Examples The Romans were militant and aggressive, but after the Romans conquered your smaller state, you were part of the empire. The Romans conquered you…then protected you. War moved away from you to the new border and peace followed – the Pax Romana. In ancient China, there was the classical period of the Seven Warring States. All of these States were conquered by the Han Dynasty, which imposed peace and created a Pax Sinica (Morris’ words). Once India was a jumble of dozens of competing rajah states. Then the British Raj conquered the entire subcontinent. Death rituals from suttee to thuggee were abolished. Following the last War of Indian Independence (or Sepoy Mutiny, depending on whom you ask), the subcontinent had 80 non-war years – time enough to form a comprehensive national identity. The British Empire disintegrated…but India did not, and remains one united nation to this day. The Roman Empire, the Han dynasty, and the British Raj were no paradise – but they were considerably less violent than their predecessors. Conclusion This is Morris’ theory: War only becomes a net positive if it results in the expansion of the nation-state. So according to Morris' theory, any war or conflict that does not expand the nation-state is a loss. Death and taxes are a constant. It's bad enough to lose tax revenue to war. To lose the lives of your people too... LIKE SCHOLARFOX ON FACEBOOK! Sources: Morris, Ian. War! What Is It Good For? : Conflict and the Progress of Civilization from Primates to Robots. Farrar, Straus and Giroux, 2014. Keeley, Lawrence. War Before Civilization: The Myth of the Peaceful Savage. Oxford University Press (New York), 1996. ![]() Seduction Victims: The 18 Types from Robert Greene’s “The Art of Seduction” By H. Shive As the saying goes, it takes two to tango. There cannot be seducers without the seduced. Robert Greene - the same author who gave us the 9 Types of Seducers - wrote another list of the 18 Types of Seduction Victims. Do you see yourself somewhere on the list? Be careful! The 18 Types of Seduction Victims
Conclusion Robert Greene wrote of what he called the “Victim Theory” of seduction: “Nobody in this world feels whole and complete. We all sense some gap…When we fall in love, it is often with someone who seems to fill that gap. The process is usually unconscious and depends on luck…But the seducer does not leave such things to chance.” Seducers will not wait for luck. They will make their own luck. They will chase you, hunt you, and ravish you. That’s exactly what some people want! Even if you are a victim, can you honestly say that you went unwillingly into their arms? LIKE SCHOLARFOX ON FACEBOOK! Sources: Greene, Robert. The Art of Seduction. Penguin Books, 2003. ![]() Canned Pumpkin is NOT Canned Squash: The Science By H. Shive Every year, someone thinks there is a pumpkin-conspiracy - like this article from Mental Floss entitled "Canned Pumpkin Isn't Actually Canned Pumpkin." It's not true. So don't attach paranoia to a pumpkin pie just yet. To the science! Pumpkin Aren't Squash Because Jack-o-Lanterns Aren’t Zucchinis! Did you know that the classic orange pumpkin and the zucchini...are the same plant? They're both members of the species Cucurbita pepo! But we don't call jack-o-lanterns "carved zucchinis," do we? And we don't cry about a great zucchini-conspiracy, do we? Canned pumpkin is primarily made with the Dickinson pumpkin. Libby’s brand of canned pumpkin is made exclusively of a variety of Dickinson pumpkin. That’s because the Dickinson pumpkin is the best tasting pumpkin. Pumpkin pies in the United States are overwhelmingly made from this cultivar. Here’s the Science The Dickinson pumpkin and the butternut squash are both members of the same species, Cucurbita moschata. But that doesn't mean that they are both squashes! Need another example? Broccoli, cabbage, and brussel sprouts are all members of the same species, Brassica oleracea. But we don't say that sauerkraut is made of broccoli, and we don't say that cole slaw is made from brussel sprouts! The Dickinson pumpkin is a pumpkin! Just because its species has the butternut squash doesn't make the Dickinson pumpkin a squash...anymore than a jack-o-lantern is really a zucchini...or a cabbage is really a broccoli. Conclusion In 2012, American Studies Professor Cindy Ott wrote an exhaustive book entitled Pumpkins: The Curious History of an American Icon - which details how the pumpkin went from poor people's food to an autumn idol of Americana. Ott tells us that after the Civil War, some southerners thought the pumpkin pie was part of a Yankee conspiracy to corrupt Southern culture! There was no conspiracy then...and there isn't one now. Honestly, do you want there to be? With all the outrage in American society today - constant outrage from every side - don't we all just want pumpkin pie to be honest, American, and delicious? LIKE SCHOLARFOX ON FACEBOOK! Sources: Ott, Cindy. Pumpkins: The Curious History of an American Icon. University of Washington Press, 2012. |
AuthorHello! My name is Heath Shive, content manager at ScholarFox. I'll be the author of most of the blog posts. I'm a former geologist and currently a freelance writer. The world is complex and seemingly crazy. Good! Because when you love to learn, you'll never be bored. Archives
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