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This thread is great and the Fermi Paradox is a legit fascinating thing. I read a great book on it last year: If the Universe Is Teeming with Aliens ... WHERE IS EVERYBODY?: Fifty Solutions to the Fermi Paradox and the Problem of Extraterrestrial Life The book covers a whole bunch of potential solutions to the Fermi Paradox from the super trivial (God is real and it only made humans) to the more complex (we live in the equivalent of the boonies of the galaxy) to the meta-physical (reality is simulated). Personally I think it's either that the universe is simulated, that space is really, really big and we just aren't close enough, or that we currently lack the method of communicating with other species and they don't care enough to use our methods to talk to us. The Great Filter is a rather scary prospect though and every time we find indications of life on other planets my heart sinks. At this point the only Great Filter candidate in the past is probably the development of eukaryotic life or the development of general, human-level intelligence. Everything else seems fairly common. And if the Great Filter hypothesis is correct, it's more likely it's in our future than our past which...isn't very reassuring. Anyway, go read that book I linked if you wanna learn about the Fermi Paradox. Also when I get some more time I'll write an effort posts about Our Mathematical Universe which had a very, very good explanation of known science about the Universe's formation and a pretty good hypothesis on how things fundamentally work that's a bit mind-blowing. edit: for those unfamiliar the Great Filter postulates that there is a "filtering" event that prevents most life from colonizing nearby places. Basically there's a process for making a space-faring civilization which is roughly: 1. Have the right star system (including organics and potentially habitable planets) 2. Star system must create reproductive molecules (e.g., RNA) 3. Simple (prokaryotic) single-cell life must be created 4. Simple life must evolve into complex (eukaryotic) single-cell life 5. Complex life must evolve to use sexual reproduction 6. Multi-cell life must evolve from sexually reproducing single-cell eukaryotic life 7. Tool-using animals with big brains must come into existence 8. Tool-using animals must make it to where humans are now 9. Colonization explosion happens If the Great Filter exists in steps 1-7 it means it's very likely that humans are alone. However if it's in steps 8 or 9 that's very, very bad for continued human existence. At this point the only early steps that look unlikely are 4 and maybe 7. edit 2: And for those not familiar with the Fermi Paradox, here it is laid out in the Drake Equation. The Drake equation is: N = R ∗ fp * ne * fl * fi * fc * L where: N = the number of civilizations in our galaxy with which communication might be possible (i.e. which are on our current past light cone); and R∗ = the average rate of star formation in our galaxy fp = the fraction of those stars that have planets ne = the average number of planets that can potentially support life per star that has planets fl = the fraction of planets that could support life that actually develop life at some point fi = the fraction of planets with life that actually go on to develop intelligent life (civilizations) fc = the fraction of civilizations that develop a technology that releases detectable signs of their existence into space L = the length of time for which such civilizations release detectable signals into space If you do out the math based on what we know, N should be a very, very high number and yet right now our observed N is 1 (us). So if that's the case one of the numbers here must be spectacularly low and it's unlikely its R, fp, or ne just based on what we've discovered in the last 20+ years. Which means you need at least one very low number for the equation to work out and some of them being low (e.g. fc) implies that humans are extremely likely to destroy themselves. The "good" news is that L is most likely the value that's really, really low as we already have seen our civilization move away from releasing detectable signals into space as things like terrestrial radio/TV are being deprecated. axeil fucked around with this message at 17:31 on Nov 29, 2018 |
# ¿ Nov 29, 2018 17:10 |
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# ¿ May 11, 2024 07:00 |
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Haystack posted:Every single alien civilization has lived and died in its own home system. Even if FTL travel were possible (which it almost certainly is not), the resource costs of operating in space are too high. Gravity wells are a bitch, to say nothing of the radiation. What about von Neumann probes? https://en.wikipedia.org/wiki/Self-replicating_spacecraft#Von_Neumann_probes Why don't we see them? You'd only need 1 civilization around our tech level in the galaxy to decide to make them for us to likely see evidence of their existence.
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# ¿ Nov 29, 2018 17:29 |
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feedmyleg posted:As just some idiot on the internet, I've found the idea quite compelling that as the universe expands, the distance between galaxies increases at such a speed that it makes even near-light speed travel between systems prohibitively difficult. I believe I picked up this idea from a Kurzgesagt video on YouTube, but is there anything more to this? There is more "space" in between everything in the universe in general as time goes on but on a local scale you have our galaxy generally occupying the same space and things are still moving toward us (e.g. the Andromeda galaxy) even as the universe on average moves away from us. The constant expansion of the universe is a good reason why everything will end up very cold and lonely in a trillion years, but I don't think it's a good explanation for why we're so lonely now.
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# ¿ Nov 29, 2018 17:33 |
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A Wheezy Steampunk posted:This is an older article but I share it whenever this topic comes up because it's a good summary of the various outcomes of the Great Filter: Yeah that Wait But Why article is good and it's before the author completely lost his marbles talking about cryo-freezing his head and how Elon Musk is our savior. I'd be interested in reading that 2nd bit you talk about as it sounds interesting and lines up with the theory that you need a star of at least the 3rd generation to generate life because you need heavier elements.
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# ¿ Nov 29, 2018 17:36 |
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Adar posted:Here's a horror movie type take on it: It's from reddit but there's a great short story on this premise from a few years back. https://www.reddit.com/r/nosleep/comments/2j3nxz/radio_silence/ quote:36,400,000. That is the expected number of intelligent civilizations in our galaxy, according to Drake’s famous equation. For the last 78 years, we had been broadcasting everything about us – our radio, our television, our history, our greatest discoveries – to the rest of the galaxy. We had been shouting our existence at the top of our lungs to the rest of the universe, wondering if we were alone. 36 million civilizations, yet in almost a century of listening, we hadn’t heard a thing. We were alone. There being no signals from intelligent life because the Reapers from Mass Effect are real is a distinct and terrifying possibility.
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# ¿ Nov 29, 2018 20:50 |
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thegalagakid posted:Berserker, I didn't know about this one. Thanks! The Berserker theory is an interesting one and sort of ties into the one example above. Any time a species gets relativistic flight, the Berserkers show up and destroy them because they possess the ultimate weapon: throwing a stone at a civilization at near the speed of light. Just the ability to do it means that whoever is first sets up Berserkers to defend themselves from some more violent upstart trying to conquer the galaxy. Or if the first are conquerors themselves, to ensure their supremacy. Solaris 2.0 posted:I always figured a "hive-mind" like species could conquer space. There would be no factions, no intra-conflict, no individuality or wants or need, and with that an effective use of resources to keep the home-planet sustainable (no civilization killing climate change). Not to get all Ray Kurzweil on everyone, but I could see humans developing a hive consciousness. We already are highly connected because of the internet and if you jammed everyone's phone into their brain and turned the technology up to 11, I could see some sort of collective consciousness establish itself. No individual would be able to perceive it, but everyone's actions could be subtlety coordinated. It'd be weird and alien but your hand/liver/etc doesn't realize it's part of your overall body and this collective consciousness would work similarly. axeil fucked around with this message at 21:59 on Nov 29, 2018 |
# ¿ Nov 29, 2018 21:56 |
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A Wheezy Steampunk posted:Found it after more searching! Here's the summary: https://www.technologyreview.com/s/513781/moores-law-and-the-origin-of-life/ and the original: https://arxiv.org/abs/1304.3381. I did have some of the details wrong, it wasn't before the universe formed, it was before the Earth formed: This is interesting but my main objection is how do they know the data actually fits a linear regression? What if it's some sort of weird exponential thing that doesn't model easily? And what if each step has varying levels of difficulty in "doubling"? That they got a result that seems implausible (life should have sprung into existence before the earth's existence) makes me question their methods. Owlofcreamcheese posted:Again though, if berserkers are everywhere why doesn't the fermi paradox apply to "if berserkers are everywhere, why don't we see them"? if not seeing things is possible than we solved the fermi paradox without berserkers. We aren't looking correctly perhaps? Berserkers solve the issue around "if there are millions of civilizations why did none of them try to colonize space?" If you admit that there are likely lots of civilizations out there, the chance that none of them tried to make probes or other things we would see evidence of is very small. But if Berserkers exist then they kill off every civilization that tries to explore or communicate.
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# ¿ Nov 29, 2018 22:10 |
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DrSunshine posted:Which are the top 10 best moons in the Solar System? 1. Luna because it is an absolute unit relative to the planet it orbits and we actually went there 2. Ganymede because it is also enormous 3. Titan because it's the only one anyone remembers that orbits Saturn 4. Io because volcanoes 5. Phobos because it had a bunch of levels in the original DOOM 6. Europa because it's got water and we were told we can't go there in 2001 A Space Odyssey 7. Charon because it's almost as big as Pluto but no one cares about it. It's so big the orbital point between Charon and Pluto is outside Pluto 8. S/2018 J 1 because it was discovered this year (it orbits Jupiter and is only 1 KM around) 9. Miranda because it's the only notable moon around Uranus 10. Trition because Neptunian representation Sorry Venus + Mercury for not being cool enough to have moons. Also Pluto is a planet don't @ me. axeil fucked around with this message at 22:37 on Nov 29, 2018 |
# ¿ Nov 29, 2018 22:33 |
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Failson posted:Using this thread as an excuse to refresh my space knowledge,and I found a bad infographic while googling the fastest man made object: I read a pretty interesting thing a bit back that Venus might be a more workable 2nd Earth than Mars, provided we live in essentially a space station. Venus has Earth-like atmospheric pressure and temperature a few miles up and you wouldn't need a spacesuit, just something to provide oxygen, unlike Mars where it's basically a vacuum and terraforming isn't real technology right now. axeil fucked around with this message at 00:59 on Nov 30, 2018 |
# ¿ Nov 30, 2018 00:55 |
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Owlofcreamcheese posted:People only like spooky visions of the bad future, if you ever name anything nice happening it gets written off as nonsense (by you for example) so instead of sending normal bacteria we will only send bacteria where the most conserved regions of the DNA are genetically altered to include the entire text of fountainhead. twist ending: this already happened and we are the end-result of Earth being life-seeded.
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# ¿ Nov 30, 2018 01:00 |
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The Butcher posted:Sometimes I think too hard about fundamental physics poo poo and get all bothered by it before dumping it from my brain and getting drunk and watching hockey or whatever. This is from a bit back but I'm waiting for some code to run so I figure I'll give a quick synopsis of a cool book I read that attempts to answer this, Our Mathematical Universe. https://www.amazon.com/Our-Mathematical-Universe-Ultimate-Reality/dp/0307599809 It's written by a Swedish-American cosmologist named Max Tegmark and is divided into 2 sections, the first covering basically everything we know and setting things up for the 2nd section which is wild theorizing and may or may not be provable, but is an interesting idea. In the first bit he outlines all the physical features of our universe and how odd it is but describes a framework for 3 "types" of muli-verses, based on our current scientific understanding. He uses a lot more detail but to summarize: 1) Our actual Universe, aka the level where you describe initial conditions (Level 1) Consider our observable universe. Since light can only travel so far and move so fast our understanding of the universe is limited to what we can observe. Right now that's about 83,000,000,000 light years across. However if we all shifted say, 5 light years in any direction, we'd still only be able to see 83 Gly, but the last 5 light years of that would be slightly different from what we can see right here on earth. If we move further, we just find that different parts of the universe are visible and that space is truly infinite. Which is really neat! But the real neat part comes next. Because of quantum mechanics there are only so many possible positions an area of space can take. That is, if you have a 1x1x1 square of space, there's a limit on the different ways you can arrange matter in it. It's a very, very high limit but a limit nonetheless. If you move far enough over in space, you might find the exact same arrangement since the number of arrangements is limited and a 1 cubic meter space is pretty small. Similarly, there's a cap on the positions all the quantum particles in our ~83 Gly observable universe can take and if we know that the space in the universe is infinite, it means there's effectively copies of our observable universe everywhere, you just need to move "far enough". So there's a parallel you reading this post somewhere. It's interesting but kind of trivial if you think about it. 2) Cosmic Inflation, aka the level where you describe fundamental physical constants (Level 2) This was the part that I enjoyed the most as it explained what exactly the Big Bang was. There's a level "above" our universe where the Big Bang originated as a singularity that suddenly experienced cosmic inflation. But our little singularity wasn't special or unique and there are an infinite number of them "next door". The interesting thing about them is that they all can take on different values for fundamental physical constants like gravity, electro-magnetism, nuclear forces, etc. The only reason things are the way they are here is because the inflationary bubble we are in happened to have these constants set the way they are and those happen to be the ones that can produce intelligent life. The cosmic bubble next door where atoms can't form isn't the one we're in because we need atoms for life. We can't travel to these or necessarily observe them because matter acts fundamentally different from how it does here. 3) Quantum Many Worlds, aka the level where you describe what quantum branch you're on (Level 3) This took a long time in his book to setup but the tl;dr is that Many Worlds is the right interpretation for quantum mechanics and it forms another multiverse that contains our particular version of Level 1 and Level 2. Even though this is another level "above" level 2, it functionally acts just like Level 1 since we can never go to Level 2 multiverses because matter stops working right (and if matter does work the same as here it's just another way of describing Level 1) This is all again, based pretty solidly on current scientific understanding. I think cosmic inflation as a theory may be a bit new or controversial but the other areas are not. However, the author still had one nagging question in the back of his mind, namely: Why Does Math Work to Describe All Of These? When you think about it, it's a bit odd as we've discarded nearly everything we've ever used to describe reality to replace it with another tool. But we've never done that to math...why? Additionally, we keep finding new ways of describing the world but those just lead to more and more questions. It's the "turtles all the way" down problem where it things just keep iterating further and further and getting more and more abstract. Tegmark's conclusion, which again, he spends half of the book describing and defending is that there is a 4th tier of multiverse above everything. He theorizes that the ultimate laws of the multiverse, reality, etc. are that everything is just a physical manifestation of the concepts as described by mathematics. The "real" reality is just that everything's all numbers...literally. That is, the physical universe is not merely described by mathematics, but is mathematics (specifically, a mathematical structure). Mathematical existence equals physical existence, and all structures that exist mathematically exist physically as well. Which is weird as gently caress and I still can't quite describe it as well as he can. It basically is radical neo-Platonicism but he makes a fairly good case for why even if you don't agree with it, you probably can't rule it out. There's a wikipedia article on it if you're curious https://en.wikipedia.org/wiki/Mathematical_universe_hypothesis I figured people itt would like the book and be interested by it because the author's an actual scientist and does a good job of summarizing all of human knowledge about the cosmos circa the early 2010s and goes much more in depth about things than I have seen elsewhere. Plus his radical neo-Platonic model is something people might want to debate and discuss because there is literally no way to prove an argument about it right or wrong as we lack evidence, but you can still poke some good logical holes in it. So what does everyone think?
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# ¿ Dec 3, 2018 22:02 |
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physeter posted:Your posts have a bunch of sciency words and fantasy nonsense, and you still experience yourself as an intellectual, and not as a bunch of unsubstantiated childish ideas wrapped in noisy meat. I don't think OOCC is arguing ants have a conscious hive mind, but rather that even though ants are individual organisms when they're grouped together they behave in ways that accomplish large, organized tasks. By that logic though, humanity has a hive mind which...I'm not actually as opposed to arguing as I thought I would be.
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# ¿ Dec 3, 2018 22:20 |
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LtStorm posted:But what are you describing with your basic rear end, fundamental math? Abstract math may be a universal language, but reducing it down doesn't yield the rules of the universe. Absence of proof is not proof of absence though. Thanks for the 1+1=2 proof though, that's the story I always tell when people assume that abstract math is really easy. Even proving trivial stuff is maddeningly complex, much less when you get into things like real analysis. What Tegmark's book is getting at is even if the models and language around certain theorems change, they still at their core will describe a mathematical relationship. E=mc^2 is a theory that describes the conservation of mass and energy, but that it can be described as a mathematical equation (along with pretty much every fundamental theorem about the Universe's operation) is notable. It's very curious that, despite every other tool we've had for measurement and description eventually being out-classed or proven inaccurate, math/logic still always works. That you can definitely prove that, given a certain set of axioms, 1+1 must equal 2 is a pretty curious thing. Maybe the axioms are different in different multiverse planes (although the basic mathematical axioms are really, really basic), but if the mathematical axioms don't hold I don't think there's any real way for us to describe or understand the multiverse. For reference, when I say "basic mathematical axioms" I'm referring to the Zermelo-Fraenkel set. This is the most "basic" mathematical set that avoids annoying paradoxes and logical holes. https://en.wikipedia.org/wiki/Zermelo%E2%80%93Fraenkel_set_theory Here are the axioms of that set. Keep in mind that when I say "set" that is a very abstract thing. A set can be something like "addition" or "the real numbers". This is just me quoting wikipedia. quote:1. Two sets are equal (are the same set) if they have the same elements. For the set theorists/abstracts mathematicians out there, 9. is functionally equivalent to the axiom of choice. If you use this as your "set" for mathematics you can prove everything that we currently understand in math. When Tegmark says that math is the multiverse, he's saying there's a way to boil this list of axioms down further and further so there is no language operating on it, it's all just pure logic. There are still issues here, namely that there are some mathematical things that exist outside this set. The response I'd have to that is that there may be a set that is defined differently than this one that allows you to bring in those stragglers...which ties into the main problem I think people have with this hypothesis: it violates Gödel's Incompleteness Theorems. Simply put, the Incompleteness Theorems show that it's impossible to find a set of axioms that are complete and consistent that describe all mathematics (and derivatively, the Universe as a whole). I'll let wikipedia explain what the theorems are: https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems#Second_incompleteness_theorem quote:
This is why things like the halting problem exist. Simply put, the halting problem is a computer science problem where you cannot write a program that universally determines if a program will halt or run forever. It seems like this would be easy to determine, but if you think about loops and conditionals, just because the program hasn't halted doesn't mean it won't halt somewhere down the line. There's been a lot of discussion on this problem and it's tangential to what I'm arguing here so I'll stop there. So for Tegmark's radical neo-platonic view of the Universe to work, you have to somehow fix the issues caused by Gödel's Incompleteness Theorems. And here is what he argues to get around it. And once again I'm quoting from Wikipedia https://en.wikipedia.org/wiki/Mathematical_universe_hypothesis quote:Tegmark's response in[10] (sec VI.A.1) is to offer a new hypothesis "that only Gödel-complete (fully decidable) mathematical structures have physical existence. This drastically shrinks the Level IV multiverse, essentially placing an upper limit on complexity, and may have the attractive side effect of explaining the relative simplicity of our universe." Tegmark goes on to note that although conventional theories in physics are Gödel-undecidable, the actual mathematical structure describing our world could still be Gödel-complete, and "could in principle contain observers capable of thinking about Gödel-incomplete mathematics, just as finite-state digital computers can prove certain theorems about Gödel-incomplete formal systems like Peano arithmetic." In[3] (sec. VII) he gives a more detailed response, proposing as an alternative to MUH the more restricted "Computable Universe Hypothesis" (CUH) which only includes mathematical structures that are simple enough that Gödel's theorem does not require them to contain any undecidable or uncomputable theorems. Tegmark admits that this approach faces "serious challenges", including (a) it excludes much of the mathematical landscape; (b) the measure on the space of allowed theories may itself be uncomputable; and (c) "virtually all historically successful theories of physics violate the CUH". I can't really carry his argument any further than just quoting his response to the criticism because I don't have a strong enough background in this stuff to argue intelligently beyond quoting others so unfortunately I'll have to end it there. It does feel very clever though and I feel like he's being a bit too clever here with his solution. tl;dr: there are issues caused by a radical neo-platonic look at the universe, mainly caused by Gödel's Incompleteness Theorems. There might be a solution to that problem where the universe is only made of fully decidable mathematical structures having physical existence. This may or may not be a sufficient rebuttal. Disclaimer: I didn't really deeply study set theory during my math degree (I focused on statistics and number theory) so I may have misstated some things here. I also haven't done formal, abstract math in almost 10 years so I may have also made some mistakes in logic or describing things. Apologies. I also used wikipedia as a source because I don't have my formal logic books easily accessible and I wanted to try and make this argument without getting too far into formal logic to explain what I was going on about. And if you got to the bottom of this post, thanks for reading! Hope it was interesting. edit: silence_kit posted:This view sounds a lot like what the wikipedia page on the philosophy of mathematics calls 'mathematical realism' or 'mathematical platonism'. I suspect that these kinds of views are not very popular on this message board. Probably the average D&D poster is more inclined towards 'mathematical anti-realism' or 'mathematical formalism'. To address this, I don't think you can rebut neo-platonism by saying "I don't think it's a very popular view itt". You don't even have proof it isn't very popular, much less an argument for why something unpopular is wrong. zoux posted:I'm going to preface this by saying that obviously climate change is the greatest threat facing humanity today, that it will already lead to hundreds of millions suffering and dying, and if unchecked will lead to the death of billions and the vast majority of all humans. I am in no way trying to deny or downplay the threat of anthropogenic climate change to our species. Even if it doesn't cause human extinction, catastrophic climate change may be a "frisbee on the roof" scenario. You need fossil fuels to bootstrap yourself into better forms of energy use (solar/hydro/nuclear/etc), however if society completely collapses due to climate change even if the Earth is able to right itself and return things to balance the fossil fuels that would be accessible by any surviving humans would be locked up in a way where you need fossil fuels to reach them. You also can't use alternate power sources because you lack the fossil fuels needed to jumpstart nuclear power plant construction, solar panel manufacture, etc. Thus, you can't have a 2nd industrial revolution because the fuel isn't there and as a result no one ends up founding the Human Galactic Empire because we're all stuck on a desert planet, assuming we also don't all die from the calamity. So even if humans were to survive we might all be stuck here in pre-industrial age societies and technologies. And this might be a thing that happens to every society to ever spring into existence where they harness fossil fuels, use them all up, and before they can transition into space faring they unleash catastrophic climate change from fossil fuel use and permanently knock themselves back to a technological level where space travel is impossible. axeil fucked around with this message at 18:04 on Dec 4, 2018 |
# ¿ Dec 4, 2018 17:44 |
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The Butcher posted:Tegmark's book is a very good read, thanks for the recommend thread. I'm learning a lot of poo poo! Oh good! I'm glad you're liking it. Let us know what you think as you go along, I know I'd be interesting in reading some posts about your feel on things and you can probably do a good job of filling in the blanks on what I originally posted in my review. Hungry posted:I'm only half-joking when I say that's an incredibly bad idea but not for the reasons you're arguing. Is this a controversial opinion? I thought the consensus was that Active-SETI was too risky to consider (and yet we still sent the Aricebo message...) The probability of the berserkers/apex predators existing is low, but if they do they'll almost certainly wipe us out. Best not to advertise our position. LtStorm posted:I feel I was being kind. It's really easy to reject his or her argument out of hand the moment he or she starts talking about fields of research not "pulling their practical weight" and how all funding should be going to research with immediate tangible benefits. A great example of this basic research is something I can talk about at detail, Number Theory. For those not in the know, number theory is a branch of math that studies the integers. Sounds fairly simple, but it's maddeningly complex with all kind of weird freaky questions. Because it's all about integers, unlike most abstract math, the questions are fairly intuitive to explain, even if their answers are complex. Some good examples of unsolved or famous number theory problems are: -Can every even integer greater than 2 can be expressed as the sum of two primes? (aka the Goldbach Conjecture, so far proven up to 4 x 10^18, but not proven generally) https://en.wikipedia.org/wiki/Goldbach%27s_conjecture -Are there infinitely many perfect numbers (an integer that's the sum of its divisors. 6 is a perfect number (1 + 2 + 3 = 6) https://en.wikipedia.org/wiki/Perfect_number -Does 4/n = 1/x + 1/y + 1/z have a positive integer solution for every integer n ≥ 2? https://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Straus_conjecture And most famously, Fermat's last theorem that states for any n>2 a^n + b^n = c^n does not have an integer solution. https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem This historically was just stuff mathematicians messed around with. It wasn't thought to have any real application... And then we discovered cryptography. See, cryptography works because multiplication is weird. It's very easy to multiply 2 numbers to get an answer, but it's very, very hard to get the divisors of 2 numbers out of a single number. You basically have to logically guess. This is why it's more difficult to teach kids division than multiplication, from a computer science perspective integer factorization is in a much harder class of problems than integer multiplication. Number theory has long been obsessed with primes and factorization because of this weirdness, with composite (non-prime) numbers whose divisors are themselves prime being especially interesting. These are numbers that instead of being prime and only having 1 as a divisor, they have 2 sets of divisors, with both sets being prime. It's trivial, but 4 is a one of these numbers as it's divisible by only 1 and 2, both of which are prime. Okay so what? Well let's take an example. I'll take 2 co-prime numbers and multiply them together to give an answer. In this case the answer is 10. What are my 2 numbers? This is trivial as the answer is 2 and 5. However, if we think of a much more difficult example where instead of a 2-digit number I pick say a 100 digit number, figuring out the 2 co-primes is basically impossible. Thus, if we say that one of the co-primes is a secret message, and the other a decrypter, we have a system for transmitting coded messages out in the open, with the 100 digit number the message. There's no way to decipher it without one of the divisors and so long as our 100 digit number is truly made of 2 co-prime numbers we're in the clear. This is literally how at a conceptual level every encryption system in computers works. And this was all just a weird hobbyist area of math, but without it the modern internet wouldn't exist because we'd have no way to communicate securely, and yet Number Theory as a discipline goes back the 1600s, 300+ years before it would have any real world application. To bring it back home, there could be some weird esoteric area of science or math that appears completely useless to everyone that could be invaluable in the future. We have no way of predicting what that is, so we research everything. If you want to read more here's an article on number theory and unsolved problems in math, both which are interesting reads. https://en.wikipedia.org/wiki/Number_theory https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Number_theory edit: i really love talking about abstract math again, it's so cool. abstract math is basically solving puzzles for a field of study. if people have more questions about stuff feel free to ask itt. i'll try and answer as best as i can axeil fucked around with this message at 05:50 on Dec 6, 2018 |
# ¿ Dec 6, 2018 05:11 |
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twodot posted:This is totally false. Factorization is hard, multiplication and division are basically identical. Teaching kids division is not any harder than teaching multiplication. Especially given modern techniques for teaching multiplication are "memorize it, and if you didn't memorize the answer start to add the numbers" and teaching division is "reverse recall the table we made you memorize, and if you didn't memorize the answer start to subtract the numbers.". You could use non-memorization methods for multiplication and division it would just be slow for the same reasons. Factorization is division where you can only have integer results. Multiplying 2 integers together is easy. Dividing a number so that the result is 2 integers is hard. silence_kit posted:A lot of basic research isn't really a cornerstone for anything though, and is kind of navel gazing. Take finding the Higgs Boson, for example. We now know that we have the Higgs Boson (well, I guess we've always had it), but after finding it, nothing really has changed. The Higgs Boson doesn't really inform or matter to anybody outside of the insular world of high energy physics. Do you have a rebuttal for my post on number theory and cryptography? edit: additionally the GPS network only works because of relativity. Computers only work because of our understanding of quantum mechanics. I'm real curious to see you try and argue your way out of this one, because your position is completely untenable and I have a hard time believing you're not just trolling. axeil fucked around with this message at 14:42 on Dec 6, 2018 |
# ¿ Dec 6, 2018 14:37 |
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twodot posted:Again completely wrong. Multiplying two numbers 8 * 2 = 16. Dividing two numbers 16 / 2 = 8. These are the same complexity, multiplication isn't weird, division isn't harder than multiplication or requires guess work. Factorizing a number, the factors of 16 are 1, 2, 4, 8, 16. Factorization is a totally different (and harder) task from division. It's amusing how angry you're getting about a simple difference in definition and not understanding what I'm saying. Last time I'll try and explain. If we're dealing with numbers that are created from multiplying prime numbers together, then yes, division and factorization are functionally the same thing. You're picking really trivial examples and rolling your eyes at me, but if we're talking about how you divide 239,812,851,035,039 into 2 integers then you're doing division because there are only 2 factors that aren't trivial. Count Roland posted:I also think the Rare Earth hypothesis is absurd and frankly narcissistic. We don't know how life developed, and we barely know what sorts of planets are common or rare, but no Earth is a special butterfly. these hypothetical planets are super interesting, thanks for sharing! the world 1000 years after catastrophic climate change is pretty sobering. I also liked the one with the poles on ocean It's analog, both poles on land is a pretty hellish planet though and the author talks about how if you have to have global warming or global cooling (not that either are good), warming is probably the better one because it at least doesn't dry everything out. axeil fucked around with this message at 18:30 on Dec 7, 2018 |
# ¿ Dec 7, 2018 17:37 |
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my dad posted:Besides, the foul xeno may or may not see you as an existential threat, but trying to kill them and failing, which the attempt probably would, guarantees they will see you as an existential threat. Civilizations aren't individuals. There's no "headshot" unless you can blow up their star somehow, and that's where we start talking about space magic. This is an interesting thought and makes me think of that one SCP where we accidentally genocide an alien species by accidental contamination with microbes. We then try and help and accidentally sterilize the whole species because we don't completely understand their biology. This then causes them to try to exterminate humanity with a variety of different mechanisms. Maybe the reason no one talks to each other is because everyone's afraid of visitors coming and giving everyone Space AIDS? Even if that's not the case, I think things could very quickly go south when it comes to inter-species relations because of how alien we will be to each other. We struggle today with inter-cultural dialog and understanding, it's going to be much more difficult communicating with an entity/group where we have nothing in common. Here's the relevant excerpt, it makes for a good little short story. http://www.scp-wiki.net/scp-1322 quote:08.1952 Anomaly discovered.
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# ¿ Dec 11, 2018 17:11 |
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BardoTheConsumer posted:I dont think this works? Our bacteria and viruses evolved to infect us, specifically, in the same way as we evolved to need a particular set of fats and proteins. Alien life could maybe outcompete native life, but the idea that an earth virus would have the apparatus necessary to infect an alien species seems... far fetched. Bacteria are more likely, but even they evolved a certain way, with certain sugars as their primary food, which an alien body likely wouldnt contain. Oh hm, I didn't think of that. There are some cross-species diseases (rabies) on Earth but they're not very common compared to the cold/flu.
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# ¿ Dec 11, 2018 21:22 |
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# ¿ May 11, 2024 07:00 |
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squirrelzipper posted:I didn’t know this and also this is perhaps my favorite thing I’ve learned on SA. Also I’m glad they can’t get drunk they’re already really dumb. And yet they're all nothing compared to Graham's Number. https://en.wikipedia.org/wiki/Graham%27s_number They had to invent new forms of mathematical notation just to write it out. It is so large a standard decimal representation of it would not fit in the universe. When you finally start wrapping your mind around it and realize that Graham's Number / Infinity still rounds to 0 you get to realize just how big infinity is. Wait But Why also did a good write-up on it, back before the author went off the deep end on Musk worship. https://waitbutwhy.com/2014/11/1000000-grahams-number.html Scientific American also has a good write-up on it. https://blogs.scientificamerican.com/roots-of-unity/grahame28099s-number-is-too-big-for-me-to-tell-you-how-big-it-is/
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# ¿ Dec 13, 2018 16:51 |