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3 Brilliant Polymaths, and the Advice They Left Behind
Polymaths are people who have excelled in diverse pursuits, and several of those polymaths left us with some very practical advice on how to succeed.
Master of all trades, Jack of none.
The main problem of choosing what to do in life boils down to simple math: every hour you spend on one pursuit is one less spent on another. This problem is so paralyzing that some people never even choose. In the West, those who specialize in a singular craft or field hope that their capitalistic society will reward them as specialists—after all, would a wealthy executive pay huge fees to an attorney who dabbles in finance law? Not likely.
Polymaths are different. They manage to achieve mastery across multiple industries, arts, or fields of study. So what sets them apart? The willingness and drive to learn new things, writes Robert Twigger:
[T]he pessimistic assumption that learning somehow ‘stops’ when you leave school or university or hit thirty is at odds with the evidence. It appears that a great deal depends on the nucleus basalis, located in the basal forebrain. Among other things, this bit of the brain produces significant amounts of acetylcholine, a neurotransmitter that regulates the rate at which new connections are made between brain cells. This in turn dictates how readily we form memories of various kinds, and how strongly we retain them.
The key idea to becoming a more successful polymath is to try new things, as Twigger explains:
People as old as 90 who actively acquire new interests that involve learning retain their ability to learn. But if we stop taxing the nucleus basalis, it begins to dry up. In some older people it has been shown to contain no acetylcholine—they have been ‘switched off’ for so long the organ no longer functions. In extreme cases this is considered to be one factor in Alzheimers and other forms of dementia — treated, effectively at first, by artificially raising acetylcholine levels. But simply attempting new things seems to offer health benefits to people who aren’t suffering from Alzheimers. After only short periods of trying, the ability to make new connections develops. And it isn’t just about doing puzzles and crosswords; you really have to try and learn something new.
Here's a look at a few of history's most notable polymaths, and some of the practical advice they left along the way.
Aristotle (382 BC–322 BC)
Aristotle's status as one of humankind's greatest minds is evidenced in part by his monolithic nicknames: "the master" or, simply, "the philosopher." He was a polymath who made fundamental contributions to diverse fields of study, including logic, rhetoric, ethics, physics, story, poetry, government, metaphysics, geology and zoology.
It was in moral philosophy, however, that Aristotle gave some of his most practical advice. To live well, Aristotle argued, people should behave according to virtues that allow them to excel in many types of situations across time. Each virtue relates to a vice, which can either exist in deficiency or excess. Aristotle believed that we should strive to live a life of moderation, nurturing the virtues within ourselves and avoiding the vices on either extreme end.
More about Aristotle below:
Leonardo da Vinci (1452–1519)
The archetypal Renaissance Man, the list of Leonardo da Vinci’s accomplishments is staggering.
As an artist, he was the father of the High Renaissance style, having painted the 'Mona Lisa' and 'The Last Supper.' Applying observations he made in his scientific endeavors, da Vinci introduced the idea of painting with aerial perspective—that is, painting faraway objects less distinctly and with less vibrant colors.
Da Vinci was also particularly interested in anatomy. He used his skills as an artist to create the Vitruvian Man, a study on body proportion and an exemplar of the intersection of math and art common in the Renaissance era. To get an even better understanding of the human body, he would dissect cadavers in middle of the night, a practice which was eventually barred by the pope.
Da Vinci made contributions to many other fields: urban planning, mathematics, botany, astronomy, invention, history, sculpting and cartography. There are simply too many to note. Ultimately, his greatest achievement, perhaps, was making others feel bad about how little they had done with their lives. Still, da Vinci left us with some great advice on how to be successful, most of which comes from his journals.
Bertrand Russell (1872–1970)
British Philosopher, logician, mathematician, writer, historian, political activist and Nobel laureate Bertrand Russell made many contributions to the academic world, particularly within mathematical logic and analytic philosophy. His contributions in these fields—specifically his paradox and type theory—have been used in computer programming and beyond. But he's perhaps better known to the general public as a social critic, speaking with unflinching clarity on moral issues ranging from warfare to Jesus Christ.
In 1927, Russell gave a lecture titled Why I am not a Christian that would become a famous essay, influencing a new generation of religious critics. Russell received the Nobel Prize for Literature in 1950 "in recognition of his varied and significant writings in which he champions humanitarian ideals and freedom of thought."
A year later, Russell published this list of advice for an article titled 'The Best Answer to Fanaticism–Liberalism' in the New York Times Magazine.
1. Do not feel absolutely certain of anything.
2. Do not think it worth while to proceed by concealing evidence, for the evidence is sure to come to light.
3. Never try to discourage thinking for you are sure to succeed.
4. When you meet with opposition, even if it should be from your husband or your children, endeavor to overcome it by argument and not by authority, for a victory dependent upon authority is unreal and illusory.
5. Have no respect for the authority of others, for there are always contrary authorities to be found.
6. Do not use power to suppress opinions you think pernicious, for if you do the opinions will suppress you.
7. Do not fear to be eccentric in opinion, for every opinion now accepted was once eccentric.
8. Find more pleasure in intelligent dissent than in passive agreement, for, if you value intelligence as you should, the former implies a deeper agreement than the latter.
9. Be scrupulously truthful, even if the truth is inconvenient, for it is more inconvenient when you try to conceal it.
10. Do not feel envious of the happiness of those who live in a fool’s paradise, for only a fool will think that it is happiness.
What is human dignity? Here's a primer, told through 200 years of great essays, lectures, and novels.
- Human dignity means that each of our lives have an unimpeachable value simply because we are human, and therefore we are deserving of a baseline level of respect.
- That baseline requires more than the absence of violence, discrimination, and authoritarianism. It means giving individuals the freedom to pursue their own happiness and purpose.
- We look at incredible writings from the last 200 years that illustrate the push for human dignity in regards to slavery, equality, communism, free speech and education.
The inherent worth of all human beings<p>Human dignity is the inherent worth of each individual human being. Recognizing human dignity means respecting human beings' special value—value that sets us apart from other animals; value that is intrinsic and cannot be lost.</p> <p>Liberalism—the broad political philosophy that organizes society around liberty, justice, and equality—is rooted in the idea of human dignity. Liberalism assumes each of our lives, plans, and preferences have some unimpeachable value, not because of any objective evaluation or contribution to a greater good, but simply because they belong to a human being. We are human, and therefore deserving of a baseline level of respect. </p> <p>Because so many of us take human dignity for granted—just a fact of our humanness—it's usually only when someone's dignity is ignored or violated that we feel compelled to talk about it. </p> <p>But human dignity means more than the absence of violence, discrimination, and authoritarianism. It means giving individuals the freedom to pursue their own happiness and purpose—a freedom that can be hampered by restrictive social institutions or the tyranny of the majority. The liberal ideal of the good society is not just peaceful but also pluralistic: It is a society in which we respect others' right to think and live differently than we do.</p>
From the 19th century to today<p>With <a href="https://books.google.com/ngrams/graph?year_start=1800&year_end=2019&content=human+dignity&corpus=26&smoothing=3&direct_url=t1%3B%2Chuman%20dignity%3B%2Cc0" target="_blank" rel="noopener noreferrer">Google Books Ngram Viewer</a>, we can chart mentions of human dignity from 1800-2019.</p><img type="lazy-image" data-runner-src="https://assets.rebelmouse.io/eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpbWFnZSI6Imh0dHBzOi8vYXNzZXRzLnJibC5tcy8yNDg0ODU0My9vcmlnaW4ucG5nIiwiZXhwaXJlc19hdCI6MTY1MTUwMzE4MX0.bu0D_0uQuyNLyJjfRESNhu7twkJ5nxu8pQtfa1w3hZs/img.png?width=980" id="7ef38" class="rm-shortcode" data-rm-shortcode-id="9974c7bef3812fcb36858f325889e3c6" data-rm-shortcode-name="rebelmouse-image" />
American novelist, writer, playwright, poet, essayist and civil rights activist James Baldwin at his home in Saint-Paul-de-Vence, southern France, on November 6, 1979.
Credit: Ralph Gatti/AFP via Getty Images
The future of dignity<p>Around the world, people are still working toward the full and equal recognition of human dignity. Every year, new speeches and writings help us understand what dignity is—not only what it looks like when dignity is violated but also what it looks like when dignity is honored. In his posthumous essay, Congressman Lewis wrote, "When historians pick up their pens to write the story of the 21st century, let them say that it was your generation who laid down the heavy burdens of hate at last and that peace finally triumphed over violence, aggression and war."</p> <p>The more we talk about human dignity, the better we understand it. And the sooner we can make progress toward a shared vision of peace, freedom, and mutual respect for all. </p>
With just a few strategical tweaks, the Nazis could have won one of World War II's most decisive battles.
- The Battle of Britain is widely recognized as one of the most significant battles that occurred during World War II. It marked the first major victory of the Allied forces and shifted the tide of the war.
- Historians, however, have long debated the deciding factor in the British victory and German defeat.
- A new mathematical model took into account numerous alternative tactics that the German's could have made and found that just two tweaks stood between them and victory over Britain.
Two strategic blunders<p>Now, historians and mathematicians from York St. John University have collaborated to produce <a href="http://www-users.york.ac.uk/~nm15/bootstrapBoB%20AAMS.docx" target="_blank">a statistical model (docx download)</a> capable of calculating what the likely outcomes of the Battle of Britain would have been had the circumstances been different. </p><p>Would the German war effort have fared better had they not bombed Britain at all? What if Hitler had begun his bombing campaign earlier, even by just a few weeks? What if they had focused their targets on RAF airfields for the entire course of the battle? Using a statistical technique called weighted bootstrapping, the researchers studied these and other alternatives.</p><p>"The weighted bootstrap technique allowed us to model alternative campaigns in which the Luftwaffe prolongs or contracts the different phases of the battle and varies its targets," said co-author Dr. Jaime Wood in a <a href="https://www.york.ac.uk/news-and-events/news/2020/research/mathematicians-battle-britain-what-if-scenarios/" target="_blank">statement</a>. Based on the different strategic decisions that the German forces could have made, the researchers' model enabled them to predict the likelihood that the events of a given day of fighting would or would not occur.</p><p>"The Luftwaffe would only have been able to make the necessary bases in France available to launch an air attack on Britain in June at the earliest, so our alternative campaign brings forward the air campaign by three weeks," continued Wood. "We tested the impact of this and the other counterfactuals by varying the probabilities with which we choose individual days."</p><p>Ultimately, two strategic tweaks shifted the odds significantly towards the Germans' favor. Had the German forces started their campaign earlier in the year and had they consistently targeted RAF airfields, an Allied victory would have been extremely unlikely.</p><p>Say the odds of a British victory in the real-world Battle of Britain stood at 50-50 (there's no real way of knowing what the actual odds are, so we'll just have to select an arbitrary figure). If this were the case, changing the start date of the campaign and focusing only on airfields would have reduced British chances at victory to just 10 percent. Even if a British victory stood at 98 percent, these changes would have cut them down to just 34 percent.</p>
A tool for understanding history<p>This technique, said co-author Niall Mackay, "demonstrates just how finely-balanced the outcomes of some of the biggest moments of history were. Even when we use the actual days' events of the battle, make a small change of timing or emphasis to the arrangement of those days and things might have turned out very differently."</p><p>The researchers also claimed that their technique could be applied to other uncertain historical events. "Weighted bootstrapping can provide a natural and intuitive tool for historians to investigate unrealized possibilities, informing historical controversies and debates," said Mackay.</p><p>Using this technique, researchers can evaluate other what-ifs and gain insight into how differently influential events could have turned out if only the slightest things had changed. For now, at least, we can all be thankful that Hitler underestimated Britain's grit.</p>
A new study shows our planet is much closer to the supermassive black hole at the galaxy's center than previously estimated.
Arrows on this map show position and velocity data for the 224 objects utilized to model the Milky Way Galaxy. The solid black lines point to the positions of the spiral arms of the Galaxy. Colors reflect groups of objects that are part of the same arm, while the background is a simulation image.
Apple sold its first iPod in 2001, and six years later it introduced the iPhone, which ushered in a new era of personal technology.