Thursday Throughputs: Captains in Ships Columbus Edition
[ThTh1] There was, as has become custom, a bit of a foofaraw around Columbus Day this year. I’m not going to wade into the debate over whether he should be honored or not. But I did want to comment on one thing: Columbus did not prove that the world was round.
That the Earth is at least circular if not spherical is something that educated people — as Columbus was — had known for thousands of years. Ancient astronomers around the world figured out that a lunar eclipse happened when the Earth’s shadow moved over the Sun. Since the shadow was circular, that meant the Earth was too. And sailors had long known that objects sank over the horizon which implied a curved Earth.
The Greeks, in particular, focused on the idea of the Earth being a sphere because it was an ideal geometric solid and it fit in with their idea of an ideal geometric universe — one with the Earth in the center and the stars, Sun and planets embedded in giant crystalline spheres that enclosed it. Eratosthones then went out and actually proved it and correctly calculated the size of the Earth with an elegantly beautiful experiment. I’ve linked this video before but it’s always worth another look.
This was all well-known to educated people in Columbus’ day, who particularly revered the ancient Greeks. The idea that people thought the Earth was flat mostly comes not from history but from Washington Irving’s rather fanciful biography of Columbus. People didn’t think Columbus was nuts because the Earth was flat; they thought he was nuts because … well, Columbus was nuts.
The reason few were willing to sail westward to Asia was not because they were afraid of falling off the Earth but because it was too far away. Cartographers and sailors knew that Japan was so far away from Europe that no ship could carry enough provisions to make the journey. Anyone who tried would die of starvation or scurvy before they got there (as indeed, two previous Moorish expeditions had). Columbus, through mathematical errors and some rather disingenuous geometrical arguments, claimed the world was much smaller, Asia much larger and Japan therefore much closer than anyone thought. He estimated that the Canary Islands and the Indies were three times closer than they actually were. He wasn’t a brilliant genius who realized the Earth was round; he was an Atlantic Ocean Truther.
For ten years, he tried to convince anyone who would listen of his laughably wrong ideas. Finally, the Spanish crown decided to throw a bit of money at him because, I guess, you only live once.
By all rights, that should have been the last anyone heard of Christopher Columbus. But while sailing to his presumed doom, he stumbled onto a continent that had previously been known only to a few Vikings, possibly some Polynesians, maybe some Siberians and … oh, yeah, the approximately 60 million people who lived there. There’s some debate over whether Columbus knew he’d found a new continent or was still convinced he was in Asia. He wasn’t exactly operating on all cylinders by that point. But whatever he thought, the rest of Europe consulted their correct charts and realized that this continent occupied a spot in the world that was previously thought to be just ocean. And the race to conquer it was on.
In short, Columbus didn’t prove the world was round. What he proved was that sometimes being lucky is more important than being right. He was absolutely 100% wrong in his assertions. But he was a good enough sailor and a determined enough lunatic that he was able to expose a giant blind spot in the collective knowledge of the Old World. That’s not nothing, even it’s not quite what Washington Irving said it was.
[ThTh2] And speaking of classical astronomy, I noticed this tweet recently:
they’re changing the zodiac dates on y’all? How you feel about this!? 👀 pic.twitter.com/V5T15SugwD
— SirWilliamChillin’™️ (@will6foot5) October 8, 2021
Astrology is based on the idea that aspects of your personality and life can be determined by what constellation the Sun was in at the moment of your birth. For example, I’m a Taurus which means that the Sun being in that constellation at the moment of my birth is one of the reasons why I’m stubborn and reliable.
The problem is … the dates we use for astrological signs are based on where the Sun was a couple of thousand years ago. The Earth wobbles on its axis — what we call precession — every 26,000 years. So the constellation that the Sun is in on any particular date changes. In astrology, Taurus goes from April 20 to May 20. But the Sun is actually in Taurus from May 16 to June 15. And that division is rather arbitrary. The path of the Sun technically includes the constellation Ophiuchus.
Look, believe what you want to believe. I’m not particularly eager to be an Aries. But as an astronomer — not an astrologer — I have to admit that’s what I am. Technically.
[ThTh3] I tried to ignore the hype. But dammit … seeing one of the original Star Trek crew get into space, even if only for a few minutes, was something I had to watch. Shatner seemed overwhelmed by the experience, struggling to express what the trip made him feel. But his overall sentiment is something I have heard over and over again from astronauts: they wish everyone could get to experience it at least once.
[ThTh4] Lucy should launch in the next few days.
You've asked. Here's the answer. YES! Our #LucyMission WILL go into the sky with diamonds. The L'TES instrument, which will take temperature measurements of the Trojan asteroids, has a 1-mm-thick diamond disk that serves as a beam splitter💎https://t.co/aByOesyXtd
📸: @SESEASU pic.twitter.com/KWDMoRxncu— NASA Solar System (@NASASolarSystem) October 13, 2021
[ThTh5] Apparently, now that Berenson has been banned from Twitter, there are people still willing to spread his disinformation. The tweet is classic Berenson. They cite a table of raw data without noting the caveats within. And they ignore the other table that has systematic data showing the the vaccine is effective in preventing infection. Again, I will leave you to decide if this is stupidity or deliberate misinformation.
Here is a Twitter thread that has more comprehensive information on vaccine effectiveness. It has also gotten a fraction of the attention the lie has.
[ThTh6] Is it aliens? No. But it’s something unknown and therefore cool.
[ThTh7] Wow.
Good morning! Here’s a picture of the moon I took using two telescopes and 50,000 raw images stacked. pic.twitter.com/VttctYkSvY
— Andrew McCarthy (@AJamesMcCarthy) October 10, 2021
[ThTh8] Speaking of COVID-19, more research is showing just how critical ventilation is. And it turns out, as we thought, COVID is way more likely to cause heart problems than the vaccine.
[ThTh9] The first malaria vaccine has been approved. This could save millions.
[ThTh10] Holding out for the system that does Stayin’ Alive.
1/ Hey @coldplay , is it too late for a duet on your upcoming album #MusicOfTheSpheres? We have a tip: the TOI-178 system which boasts six exoplanets. Five of them are locked in a rare rhythm as they move in their orbits, as illustrated in this video. pic.twitter.com/PMuz1jMmFN
— ESO (@ESO) October 6, 2021
[ThTh11] And we’re still not done with spaceflight this week. DART will launch next month and take the first steps toward a real planetary defense. And BepiColumbo made its first pass of Mercury this week. Getting spacecraft to Mercury is surprisingly hard because you are effectively going downhill in the Sun’s gravity well. A bit too fast and you’ll go plunging right into that big ball of fire. So you circle around and slowly catch up to it. BepiColombo should finally achieve Mercury orbit in four years.
ThTh5: Okay, but what is actually going on in that table? There’s a footnote that says, “Interpretation of the case rates in vaccinated and unvaccinated population is particularly susceptible to changes in denominators
and should be interpreted with extra caution,” but what exactly does that mean? What changes in denominators are there, and how do they explain these results?
I’m pretty sure vaccination doesn’t increase risk of infection, but I can’t think of a good explanation for this.Report
Heavily vaccinated pops tend to be those most at risk (healthcare workers, etc.) and the vaccinated are much more likely to be tested — both as a routine part of their job and because their much more alert to this sort of thing. The studies in Table 1 test systematically.Report
ThTh8: There was a recent study in mice showing that injecting the mRNA vaccines directly into the bloodstream can cause myocarditis, and there’s speculation that accidentally hitting a vein could be what’s causing it in humans.
If so, this could be prevented by aspiration (pulling out on the syringe plunger to see if blood comes out), which up until now has explicitly not been recommended.Report
ThTh1: seems fitting to me now, that a guy who was in some ways “anti science of the time” (where people KNEW the earth was round but a westward route to Asia would take too long) insisted on his way, finally got it, managed to survive, and then some 450 years later was taught in primary school as a brave hero contrarian……I mean, maybe this is how we got into the mess we’re in now.Report
That parallel occurred to me as well.Report
We love an plucky underdog story more than we love a story about an idiot who got lucky.Report
The plucky underdogs we thought we were were just the lucky idiots we were along the way, or something….Report
This is an even better story: Columbus knew about the Americas and used “sail West to Asia” as a cover story for “discovering” them. His real goal was to find a place for Jews to live far away from the endemic persecutions of Europe.
It’s nonsense from beginning to end, of course, but a great story.Report
ThTh5, and ThTh9: Republican Jim Jordan has declared opposition to ALL vaccine mandates.
Anti-vax hysteria is becoming the mainstream position for Republicans.Report
Okay. Classical Astrology.
I have a theory about this. It’s a map/territory problem.
Once upon a time, the majority of civilization all lived in more or less the same place more or less and more or less every year was the same as every other year… and how food impacts personality and the first few months of life outside of the womb either being swaddled from the cold or allowed to kick free in the warm sunlight would result in various personality traits. A mother who ate a great deal of ripe fruit during the first trimester and had a baby who spent the first month swaddled but after that was allowed to kick around would have these traits… and a mother who ate salted meat and preserved foods during the first trimester and went on to have a kid who had his earliest days wrapped up for warmth followed by months of being wrapped up for warmth would have an entirely different personality.
“But what about”
I’m not saying that there aren’t and wouldn’t be exceptions. Of course there would be. But there may have been enough there to generate broad-brush stereotypes.Report
So it’s not “I’m needy and emotional because I’m a Pisces,” it’s “I’m needy and emotional because my mom was starved of sunlight for a bunch of the time she was carrying me.”
It’s still woo, but it’s more PLAUSIBLE woo….Report
The fault, dear Brutus, is not in our stars, but in ourselves, that we are getting less Vitamin D than we did 5 months ago.Report
Ever since you first shared this, the premise has fascinated me.
It isn’t entirely unlike Gladwell (I think it’s Gladwell?) look at why hockey players tend to have birthdays in certain months: it’s not because better players are born in those months but because having birthdays at certain times was advantageous in terms of the teams they were put on, the practice and development they got, etc.Report
Yeah. You’ve got tons of kids in your class. I’d guess that 1/12th of them have birthdays in March and another 1/12th of them have birthdays in October.
Have you noticed any trends of differences between the two (otherwise pretty identical) groups of kids?Report
The kids born in December are less happy because they tend to get screwed on birthday presents.Report
My birthday falls right around Thanksgiving. I got screwed twice — once on the birthday present because, “Well, we’re giving him something for Christmas soon,” and once on the Christmas present because “Well, we just gave him a birthday present.”Report
The ones born in July never get to experience bringing in cupcakes for the whole class.Report
The GenX kids, certainly. The Millenial kids, perhaps. The GenZ kids, though, got to celebrate their “half-birthdays” so many of them actually DO get to experience this.Report
HALF BIRTHDAYS?!?!? NO WONDER WE’RE GOING TO HELL IN A HANDBASKETReport
*lights a torch and hands Jay another one*Report
I’m very, very, close to starting my sixth decade, and I did get a “half birthday” small present (*)
I tell you, it’s not kids these days. We boomers messed up western civilization
And being a November kid, I got to:
1 – Get screwed in birthday/Christmas presents, a lot.
2 – Start college at 16 🙂 (**)
(*) like an additional, large, comic book
(**) I guess there’s something about us November/December kids being precocious 🙂Report
It’s like the participation trophy of birthdays.Report
Oh man, you’re asking the wrong guy. I’m terrible at remembering birthdays.
I would also guess the broader trends that might have inspired astrology millenia ago have been muted now that we have things like climate control and year-round access to most foods and (in America, at least) most people don’t live lives that are dramatically dictated by the seasons.
But since most schools have grades with 12-month age bands, we definitely see how age alone is a huge factor. It isn’t EVERYTHING because development is wonky BUT a kid who is 6 months older than another when you’re talking about kids who are 24-36 months old… well… that one kid has been alive for like, 20% longer than the other! How the hell can that not show up in some meaningful ways?Report
Oh, I want to say that pretty much everything except for Vitamin D has been wiped off the board since at, at the latest, the 70’s.
And given the amount of time spent inside, that’s probably been neutralized as well.Report
I saw this the other day. The tl;duc* is this; starch is an important food item. We get the vast bulk of our starch from plants. Plants take a while to grow, and the amount of usable starch that we get from any given plant is a fraction of the biomass. Growing such plants also requires a considerable amount of arable land and fresh water.
To date, creating consumable starch without plants hasn’t been feasible.
China says they have a new process, one that uses catalytic reactions to create food-grade starch, and also has the added benefit of consuming CO2. The starch process begins with the creation of methanol. I’m pretty sure I talked about this before, a few years back. So we know how to pull CO2 out of the atmosphere and lock it into methanol, but then what do we do with the methanol? This is the question the Chinese Academy is answering.
Anyway, they still have to figure out how to build an industrial bio-reactor that would kick this stuff out by the ton, but it’s a pretty important breakthrough.Report
Damn, that is amazing!Report
There are processes that can turn methanol into ethanol as well.
Going through this process first would allow for multiple disposal methods.Report
None of which locks away the CO2. We eat the food-grade starch, but eventually dump the carbon back into the atmosphere as CO2. Ditto for ethanol used, for example, to power an ICE: the carbon still ends up as CO2 released back into the atmosphere.Report
Use it as rocket fuel, but only the *RETURN* rocket fuel.
Easy peasy.Report
More seriously, if we’re locking it away, we need a way to figure out how to turn it into a solid.
Planting 10 billion trees might help, a little. But we need to turn it into something that would make a durable cube.Report
Well, we can eat food grade starch, or pressure form it into cubes and lock it away in an underground vault. Of course, we can do the same with sodium-bicarbonate.
It’s more a case of, if we are making starch in a bio-reactor, we aren’t generating CO2 from Ag processes (tractors, etc.).Report
It’s so earthshaking it takes my breath away*. Even if it’s energy intensive that isn’t necessarily a problem as we have some places on earth that have enormous energy resources but no easy way to transport it elsewhere. Severing the link between acreage and food production would be a paradigm shift.
*If a way can be found to do it economically.Report
(I was making a beer joke.)Report
Doh, I blame that I’m not a beer drinker.Report
I’m less enthusiastic. If it can be used for efficient carbon capture, great. But starch is just empty calories. No micronutrients and no protein. If you’re starving it’s better than nothing, but I certainly wouldn’t want to make it a staple of my diet.Report
My guess is that you can blend it with other nutrients into a food product that becomes a dietary supplement, or emergency food, or the like.
Would you try to feed a population on it? Probably not.
Could it be shelf stable and easily transportable to areas suffering famine or other natural disaster? Probably.
Another option is to supplement animal feed (so less acreage is needed for growing animal feed).
Or maybe we just make lots of kids paste with it.Report
Once eaten, it ceases to be captured.
I wonder if it would stand up to the elements. If not, we’re probably going to have to cube it and bury it.Report
Calories that don’t require acreage are calories that don’t require additional CO2 to be burned.Report
I suppose we could feed it to the insects that we’re going to be making burgers out of.Report
Starch is important for dry-cleaning shirts, too.Report
[ThTh10] This is such a clever way to illustrate orbital resonance.
On a related note, I recently discovered this Twitter account and it’s my new favorite thing: https://twitter.com/ThreeBodyBot
As a diffeqs nerd, this was really fascinating. I wonder if, had 18-19th century people had computers, would they have given up the search for a closed-form and/or analytical solution earlier? Watching these unfold, it seems kind of obvious that no analytical function is going to describe these trajectories.Report
OK, that’s fun!
We still haven’t given up on closed form solutions, I mean, the Millennium Prize is a thing.
But yeah, parallel computing has taken a lot of the urgency away from that.Report
Well, you’re a fluids guy, right? So yeah, y’all need a lot of computing power. For simple n-body problems, particularly for uniform spherical bodies, it’s really trivial from a computation standpoint — unless N equals like 10^10 or something silly.
I have an neat text on orbital dynamics that covers non-spherical bodies. It’s really interesting. It turns out that to make it computationally tractable, they introduce “gravitational moments” as corrections in the diffeqs, similar in spirit to the “dipole moments” and “multipole moments” used in electrodynamics. This really only works for “sphereoids,” where the moments are low degree. I doubt it would help much for small non-symmetric objects. Anyway, by adding moments, you can explain tidal locking and things like that.
Regarding fully non-symmetric objects, it seems very few dynamics texts cover them, so naturally they are the most interesting.
Anyway, diffeqs — cool stuff.Report
Yep, love my diffy-Qs. And yeah, my workstation that I use just for development and testing is 40 cores (not 20 cores hyper-threading, 40 actual cores).
The actual work clusters for the big problems are orders of magnitude bigger.Report
That’s quite a few cores 🙂Report
Current project is modeling gas turbines, I can keep all 40 cores busy even on the simple cases.Report
We had a joint-design course recently where the instructor complained about everyone just throwing everything into FEM these days and increasing the mesh density to near-infinity.
His contention was that doing this works, and for complicated joints it’s actually faster than working out the analytical solution, but you can’t look at a FEM and say “okay what happens if we use bigger bolts, more bolts, different placement, more or fewer washers…” the way that you can with an equation.Report
How long ago was that course?
Past 10 years or so, we’ve gotten really good at incorporating Design of Experiments / Design Studies into simulations. Like, wicked fast plowing through design iterations where you can easily use bigger bolts, different placement, etc. (although in my field it’s something like swapping out a blade, or part of a wing, or an inlet, etc.).
And part of that is because we’ve realized that the quality of the mesh can matter a lot more than the density. So sure, you can mesh down to the molecular level, or you can put better intelligence into your meshing algorithms and have it optimize the mesh.
We even have algorithms that can optimize the mesh mid solution, so if the solution starts to show that an area with a dense mesh isn’t developing anything interesting, the algorithm will pause the iterations, and decrease the density in that area (and vice versa if something interesting is happening and more density is needed to resolve it).
As for DOE, once the solvers got smarter CAD, and/or learned how to integrate with CAD tools, they could block up the CAD and the associated mesh so that when something is switched out, only that bit is re-meshed (if it wasn’t already meshed ahead of time and just waiting to be swapped in).
One of the most powerful tools we introduced a few years back was overset mesh, where you would mesh a whole domain, then mesh a smaller domain around your part, and then you can have your part moving through the larger domain. We have a very cool simulation of two F1 cars (one overtaking the other) on a track, with each car having their own overset mesh, and modeling the airflow as they passed.Report
“How long ago was that course?”
Last week?
You’re not wrong that in practice it would probably be done by “pres butan to go plz” but if you want engineers instead of button-pushers then they need to understand what a joint is doing and what changes will make it work better, instead of spending two weeks optimizing fastener placement to sub-mil precision when the real answer is “don’t use titanium bolts”.Report
I guess it depends on what question you are trying to answer.
First off, let me start by re-iterating that computers are really good at performing repetitive tasks, and can do that to very quickly solve problems and produce answers. And those answers can be very very right, or very very wrong. The computer doesn’t know or care.
So if your approach to engineering is “pres butan to go plz”, and your engineers don’t understand the problem they are trying to solve, they are not going to get good answers to their problems.
So for the engineers who complain about button pushers, I ask, is that truly how you see engineering being done today? Because, you know, this is my field, and very few engineers can be gainfully employed as button pushers for very long* (that’s what we have interns for!), so if that is what you think, perhaps you’ve been out of the trenches for too long. Additionally, I took quite a few computational physics courses (CFD/FEM/Validating models/etc.) in college, and the instructors in every single one drove home to fact that even the best models are only as good as their inputs, and the button pusher is obligated to understand when the output looks fishy and why.
As for your original point – what is the question you are trying to answer? Are you trying to figure out how much load that complicated joint is under? Then FEM is probably the way to go, because the analytical solution would take too long to hammer out and validate. Once your have that FEM model, and a good idea of the stresses, then looking at the shear modulus of your standard bolt, and deciding Titanium is the way to go doesn’t need a FEM model.
But, if you have no idea what kind of joint you need, or you are trying to find the strongest joint that lets you minimize cost or weight, then a FEM design study is a really good idea.
*This was a big part of why I left the Lazy B, because junior engineers were being relegated to button pushers, and the senior engineers couldn’t be bothered to mentor anyone. The place is suffering serious brain drain.Report
Reading posts like this makes me wish I’d gone to university. Granted, I’ve done pretty well in software, despite being self taught. But still, I suspect I’d have made a really good mechanical engineer — or something like that. Maybe even fluids! It seems so deeply fascinating. However, unlike CompSci, it’s not really the sort of thing you can get into without university.Report
Sure you can, just study for and pass the PE exam – boom, you are an engineer!Report
Sounds easy 🙂Report
I guess I was just ahead of my time back in the 70s when the optimization prof would be handing back homework and complain, “And Mike, of course, simply beat the problem to death with a computer.”
Other students would have preferred to beat the problem to death with a computer, but had not arranged for an unlimited (for the day) supply of CPU cycles.Report
“Instead of carrying the rock, he put it in a cart and, get this, didn’t even pull the cart himself but had a horse do it!”
The only problem is when you end up in the wrong “London”.Report
Granted, part of the purpose of the class was to learn some of the clever ways to turn what looked like a hard problem into something much simpler. I learned that too, and got my first job at Bell Labs when, during part of the interview at the Labs, I applied such a trick and handed the interviewer a solution to a problem he had been struggling with for some months.
But hours are always in short supply in graduate school, and sometimes taking 15 minutes to code up a brute force search and letting it run for a few hours is personally optimal. Especially since I had arranged a nearly (for then) limitless supply of machine time.Report
ThTh1 – A throwaway example in the Summa Theologica (1265): “For the astronomer and the physicist both may prove the same conclusion: that the earth, for instance, is round: the astronomer by means of mathematics (i.e. abstracting from matter), but the physicist by means of matter itself.”
Dante had his character in the Divine Comedy (1320) travel downward through Hell, and get disoriented once he passed through the middle of the earth, because gravity was pulling him in the wrong direction. They came out on the other side of the earth and remarked about how the sun was 12 hours off and the star patterns were different.Report
[ThTh9] — Malaria is caused by a parasite, so this is a vaccine against parasites?
Setting aside malaria itself (and if it’s even 50% effective for a year at a time, that’s twice as effective as the next best solution — bed nettings, so we’re talking a MASSIVE improvement in health and human happiness), that’s pretty amazing right there.
So doubly ground breaking — hopefully a massive blow against a pernicious cause of much human misery, and a tool to fight a whole raft of other similar problems.Report
The parasite is a single-cell organism that has a life cycle with several forms. The form that is transmitted from mosquitos to humans is carried by bloodstream to the liver where it infects a specific type of cell. The vaccine leads to production of antibodies that attach to that particular form and blocks its ability to enter the liver cells, so it can’t produce the form that really messes us up.Report
[ThTh2] The weird (to me) resurgence of astrology as a thing that people talk about in public without fear of being laughed at feels bad. It’s especially popular with my wife’s students. I don’t know if it’s an ornament (like two people talking about a sports team or literature in passionate and nearly concrete terms) or genuine belief. The former, while aesthetically yucky, is far, far less worrisome than the latter.
Odd note, unlike other anti-materialist conspiracy theories about the world (tradcaths, meyers-briggs, etc), astrology appears to be almost entirely consumed and propagated by women? I know a few dudes who are into astrology, but by that I mean two. Tradcaths are much more diverse (for a single sectarian group, I mean) and lord knows the I’m a TCYB ROFL (and this is why I’m a complete prat and you have to excuse it, as the sequencing tends to go) seems to be evenly distributed among men and women.Report
It always had a place on the puzzles and comics page of newspapers & magazines. People have always talked about it in fun, or pretending like it’s only in fun. As for women, come on, why is it that women would be more likely to think about body changes based on planetary movement?Report
I think I’ve mentioned this before, but while I’ve heard the story about how Columbus incorrectly disputed the consensus view on the circumference of the Earth, I’ve never heard how his apparently successful return from the Indies affected the consensus.
Did a bunch of people say, “Well, I’ll be. That crazy bastard was right after all!” and accept his estimate as correct, or did they immediately realize that he’d run into some previously unknown islands in the middle of the Atlantic Ocean?Report
Nope, it didn’t. Basically because there were land masses significantly south of where it was known the Asian land mass ended, they concluded, correctly and very quickly, that this was a totally different place. And they called it America, for the guy that showed this was nothing like Asia, Amerigo Vespucci.
Sailors didn’t have a way to accurately measure longitude until the XVIII Century, but they’ve been measuring latitude very accurately for several centuries by then.Report
Yeah, but Vespucci didn’t do that until several years later, right? What happened in the intervening 5-10 years? On his first two voyages, Columbus just went to Cuba and Hispanolia, which lie roughly between Taiwan and the Philippines in terms of latitude. It wasn’t until his third voyage that he reached the South American mainland.Report
It’s unclear exactly who discovered or found out what and when. Vespucci claimed later in his life that he did understand they were exploring a New World by 1497/98 but many quasi contemporaries writing a couple of decades later believed Vespucci himself forged some documents later in his life to claim the primacy.of the “discovery” of the New World.
But by 1501, when the coast of Brazil all the to Rio de Janeiro was explored it was very clear that this was not the Asia everyone knew about. Besides being in the wrong side of the equator, this land was significantly less inhabited and vastly less developed that what Asia was known to be, with animals and plants that were not what the explorers expected.
Asia was far from Europe, but not unknown. People knew people that knew people that had been there. They had an expectation of what they would find in Asia, and that was nowhere to be seen (finding the Mexican valley and Andean civilizations were still decades in the future) Even Columbus claimed that he had only reached some islands west of Asia, like the Canary or the Azores islands were with respect to Europe, and not Asia itself.Report