The Great Math Mystery (2015) FULL SPECIAL | NOVA | PBS America
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- Опубліковано 27 вер 2024
- Explore math's astonishing power across the centuries. Join astrophysicist and writer Mario Livio to follow math from Pythagoras to Einstein and beyond, all leading to the ultimate riddle: Is math an invention or a discovery?
First Broadcast Date: June 23, 2015
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I stopped watching traditional Televison and now you tube is my permanent home thanks to productions like these
Me too.
I also watch and listen in bed and sometimes go to sleep but carry on listening, and occasionally I imagine/dream that I am present in the discussions, and even try to participate but get very irritated because everyone seems to ignore me!
This wasn't made for UA-cam it was made for cable TV in the U.S. and franchised to channels all over the World
@jim23mac Yes but you find it here. Turn on TV and what do you get...
I call it sponging.. soaking up information that sparks your interest.. UA-cam allows you to target what you view.. the box just zombifies you.. feeds you crap.. is trying to caroul the way you think and live.. its for the sheeple.
SAME HERE .
"Concepts are invented while relations are discovered."
You know, that description of the nature of mathematics makes the most sense to me.
um, er, relations are imagined concepts too!.... it's all in the mind; mathematics is not reality, it is, like Galileo said, a (human) language for talking about the universe. And, like any language, you can use it to talk sense or bulldust. For example, quantum mechanics is a load of crup, even if it sounds plausible if you don't think about it too much...
PBS NOVA, it doesn't get any better than this!
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Imagine all these historical math geniuses being with us today? They would be so in their element.
Not really. A lot of them were religious zealots and consumed with beliefs which they tried to use Math to show evidence for. Not all, but many of them were foolish that way.
20:05 Yes, everything in this universe is discovered, not invented.
Like when we say Newton’s Laws of Motion, but in reality it is Newton’s DISCOVERED laws of Motion.
it is not clear why all mathematical knowledge does not get discovered instantly. may be there can be a design of brain that does discover all maths immediately. after all knowledge is not a physical process, and therefore there is no inherent time required, unlike the setting of cement.
@@akhil999in What do you mean by saying "knowledge is not a physical process"? What else could it possibly be?
Not A Maths Personal But Its Significance Is Exciting. Enjoying From The Caribbean 🇻🇨
Someone need to make Pla-to. A modeling clay that come pre-formed in the shapes of Platonic solids.
@@NewMessage Idiot level comment.
Thanks!
Things moved so fast leading to Relativity theory and long enigma of quantum physics.We the brave new world are unraveling it all
Reality bends to mathematics.
Stop the background music it's not necessary and really distracting!
well done
beautiful! thank you
Brilliant channel 💯 🙏
Brilliant in relation to your level of understanding, elementary for a lot of other people.
@@pauls3075 wow! you smart! so intelligence, so culture!
There is logic, math is all around us. We discovered it. Quantum is of a different level. It has to be logic, not ghostly.
I stick to my rule, which is `when I`m reading maths and finding it easy I`m doing something wrong !`
We count following a base 10 system. If we counted by say a base 11 system, is there an analagous Fibronacci series ?
No doubt. Try it .... e.g. 5 + 8 = 12 (base 11)
adam is an excellent engineer i loved seeing him in the perserverance rover doc
Realy I like this video
That bass player tho khhh
Well now I want pie.
When you get there, you at the beginning.😊
Math is emergent from the underlying dynamical system. Just like all macro properties and patterns.
Mathematics is a language we use to describe nature. It's a cultural construct. Mathematics follows nature, not vice-versa.
It is not a cultural construct, but it is a language. The mesmerizing issue discussed in the video is why there is such complete compliance between the complicated abstract language and the real world
@@genehawkridge1919 The very thing it is not - is a 'cultural construct'.
I combined 3 algebraic rules to decipher the Ishango Bone, although it could have been done without. We naturally see clusters of the same, and that may be considered the 'counting factor' we have.
@@AUSTRALIANAMADE I think I've spotted a weirdo.
@@Tinker1950 The problem with math is you. And people like you.
@@Tinker1950 Why would you write that? Are you an adult bully, who wants purpose. I'll give you one. Learn to count before you discredit.
@@AUSTRALIANAMADE
Quod erat demonstrandum may well be applicable here.
However, as an informed science graduate my counting and mathematical skills are adequate.
But why my remark you ask. Well, firstly you write in that self-aggrandising style typical of the online partially knowledged. You provide no explanation of what you write, it is after all, essentially unknown to most.
Next, the Ishango bone(s) have been assessed and led to a very small number of theses - conjecture rather than proof of concept is all that can be offered.
However, you attempt to imply or claim a solution to the conundrum of the bones - but no attempt to link to your published achievement. Considering the great age of the bones, I'm sure the specialities of archaeology and anthropology not to mention, history and to a lesser extent, mathematics would be agog with your claims.
On a more realistic, common sense footing, I don't think UA-cam is the accepted forum for making ground-breaking claims - not unless you lack insight and academic training of course.
@@AUSTRALIANAMADE seems I hit the nail on the head.
Oh, and by the way, 'counting' is hardly an intellectual exercise, well not for most people.
I love Pi Apple Pie, Steak Pie, Chicken Pie.....LOL!
It's phi- pie- phay
Harmonic series is the only perfect musical scale.
This was posted previously.
if we do finally discover an improved or novel system of mathematics that can predict everything, is that the final proof that the world is entirely deterministic and free will is an illusion?
In Physics, maths is used to model facts discovered by observation or experiment. Any mathematical model is temporarily the most accurate we have, not necessarily the final model (which we may be incapable of discovering). Gravity, for example, went from Newtonian to Einstein's General relativity. Of course mathematical models are, therefore, effective - that's why they were designed. An ineffective model is of little or no use.
That is almost completely wrong. Most of the present day physics was inferred purely from mathematics and then confirmed by experiment
This was great but WHY oh WHY the irritating music all the way through? It's already interesting enough, you don't have to sugar coat it or "sex it up".
The Pi was discussed, what puzzles me about Pi is its value goes beyond infinite. Its imprecise and yet wherever it appears, the answer comes about as precise and finite.
I wish all the physical constants were listed, such as, Avogadro´s number, g the gravitational
constant or Plank´s constant - these where do they come from and why are they constant?
Its weird and defies all sense of reality. The phenomenon of Orbitals, electrons are a mush
of probability and yet they can only jump in precise steps. Are my neurons real or sticky
probabilities. Does Math arise from our consciousness rather than just a concept in our brain.
Math is the creation of "logically rigorous" structures(*) (mathematical
theories). Those "logically rigorous structures" are created using our
capacity of thinking in a "logically rigorous" way. The "logically
rigorous" way of thinking is a kind of "conceptual thinking". What we
(humanity) discovered, is that humans using "logically rigorous"
thinking will agree (almost always) in the validity (or not) of the
"logical structures", and based in the same assumptions (hypothesis)
would agree on (and independently reach) the same conclusions.
In mathematics, we make "assumptions" (hypothesis for a single theorem,
axioms for an entire theory) and then make deductions based on those
assumptions. The (initial) assumptions are INVENTED, but what is deduced
based on those "assumptions" is DISCOVERED (what we "discover" is that
those assumptions logically imply what is deduced).
What we (humans) have "discovered" is that if our "assumptions" correspond
to reality (empirical facts), what follows from these assumptions in
a logically rigorous manner (that is, the mathematical structure we can
build based on those assumptions) also corresponds to reality (empirical
facts). In that consists the "Unreasonable Effectiveness of Math".
So, the math that, given the assumptions, we build based only in our mind
(but checked against other human minds), will correspond to reality (if
the assumptions correspond), why ?? Because of EVOLUTION, our "logically
rigorous" thinking evolved as a "tool" to help us to create mental models
of our environment (the "realm" of reality more immediate to our survival),
models that help us to better foresee, adapt and manipulate our environment.
BUT, our logical thinking evolved to be "effective" in our "environment"
(our limited "realm" of reality). It does NOT need to be "effective" for
other "realms" of reality very different (alien) from our environment or
very complex. For instance, chaotic systems, or consciousness, can be very
complex for our capacities. A realm like Quantum Physics begins to be very
anti-intuitive, but still within the limits of our logical thinking.
Realms beyond Quantum are not guaranteed to be within the reach of our
logical thinking. But we have to try, only trying we can know how far
we can reach in our knowledge. What is out of the reach of our logical
thinking is out of our reach (in terms of knowledge), at least while our
logic thinking does not evolve (if it evolves to reach new realms of
reality it will probably not be "biological" evolution but maybe AI).
(*) A "logically rigorous" structure is a set of well defined statements
(with their values of truth) that are logically related thru rigorous
demonstrations. A demonstration is a logically rigorous inference (deduction)
of the value of truth (True or False) of a statement based in the value of
truth of other statements (hypothesis). A well defined mathematical theory
has a series of statements assumed to be true (axioms) and a set of
statements whose value of truth is inferred (deduced) from the axioms
thru demonstrations (usually involving long "chains" of demonstrations).
(Demonstrations form part of theorems (a theorem has hypotheses, thesis
and a demonstration of the thesis based in the hypotheses).
It is much simpler than that. What puzzles us is that our universe is so complex (to us), that it follows very complicated rules and patterns described by Mathematics. But it does. So we look into the mathematical problems and say ... what the hell?
Every system, event, process, which in terms of its behavior is to some extent consistent, consequent, - i.e., quasi, if the causes are the same, the effect is the same -, has its own internal, innate mathematics. This is also true for random events, but there this rule needs to be formulated more precisely. That mathematics exists et all, proves that the universe is rather consequent. At least we have no reason to assume otherwise. The fact that we create mathematical models proves that we believe in the universe. But we also need to know that the universe has no obligation to reciprocate our trust. The fact that we create mathematical models proves that we trust the consistency of the universe. But we also need to know that the universe has no obligation to reciprocate our trust.
The phenomenon's own mathematics must be discovered by us. I think mathematics is given by nature, but we have to discover it. Even the most ingenious, mathematical models are discoveries. The absolute randomness, which has no distribution function, has no mathematics. There is nothing to explore there. The mathematics that we will only discover in the future already exists today, even before. A good question is from when and for how long certain mathematical regularities have existed and to what depth they can be discovered. For example, did the mathematics of the prime numbers exist in the state of the Big Bang? etc.
On the other hand, it is thought-provoking, that it's possible to develop beautiful mathematical theories that have nothing to do with the reality, or we do not yet know if they have. I would classify this in the category of works of art, since one can also paint a beautiful picture, even of a landscape does not exist anywhere. Why can't we talk about a branch of art whose subject is a surprisingly witty mathematical theory? It does have an aesthetic value, or even more.
Fibonnacci sequence is a sequence of growth, ultimately derived from the basic operation of cell division. 1 turns into 2; then 1+2 = 3 and so on. It's not a mystery.
I feel the NOVA I watched as a child was far more sophisticated than the NOVA today. I was expecting to gain insight into the question. Instead, I watched a primer on this magical thing that exists called maths as if NOVA wanted to demonstrate there's this thing called maths in reality. What's next? NOVA gonna try to tell us the world is round?
I did very well in mathematics in university. Often I encountered calculations involving lots of sin() and cos() functions. They always simplified down. Now I wish I had just used some change of coordinates. It would have made the paper much simpler.
BSIE 1-5N
And He made man in his own image. Male and female created He them. So we CREATE and our CREATOR uses Mathematics also.
This is a great mystery. Excellent introduction. Goodness, Truth and Beauty . Good fun too. The mystery of evil is something far, far short of this perfection.
⭕🪧🪡
7.30 You can draw a circle with the radius or diameter equal to the spacing between those parallel lines and equal to the length of this needle. The circle has all these angles, all 360 degrees, and minutes and seconds. The needle can fall at any of those angles onto these lines or between them., so it seems to have quite a lot in common with the circle which you can draw.
Can't choose quality. Damn it's as blur as can be...
Pi is MORE Than dismal rounded circle 💡
Pi *Surrounds *Up *Down * Sides💡
Mc Pi *Brings💡
Pi Type Makes *Mass
*Volume💡
ThankYoU@e٦💡
what new ideas about mathematics did you learn?
Need info so answer it please
The language of proportions
this thing started ok but by the end it's weird.
mathematics were not invented by humans per say but we formulated it with our own numbers and measure system.
the maths were there we just made up a way to express them so we could understand the relation between quantity, shapes, volume etc...
we saw those repeating patterns in nature and found ways to mimic them and use them for our own growth.
no matter if you can count or not, when you see in a tree only 1 apple and the other tree beside it has more than one, you've done math without knowing, the numbers are just more precise in measuring exactly how much more is in quantity than just 1.
vocalization and visualization, created the needs for precision and we invented words, letters and rules to use them, we've had many many measure system that were less precise than now like imperial compared to metric, but metric is based on the size of earth and although more precise to the scale of the universe it's not useful unless we make some equations to make it fit all together, we still have many discoveries to make to be able to find a universal measuring system that make physics easier to understand and calculate.
the fact that we use mathematics to recreate some natural phenomenon prove that mathematics are not a human invention but the symbols we use are
Fibonacci series was mentioned by Indian rishis before 2500 years. They didn’t even mentioned this, there is much more advanced knowledge is stored in indian numerology. They mentioned Pythagoras, he got all his knowledge from further east and those theorems are mentioned in Vedic texts which were written way before Pythagorus. Rishis have answered all the questions mentioned in this documentary, but the human arrogance is stopping them to accept.
18,912
Human brains think in sequences, comparing things and their properties and amounts. So math wasn't invented or discovered. It's natural
Could do without background noise.
You feel, in the course of this great video, the reluctance to acknowledge the obvious: human consciousness is part of nature, a product of evolution, and mathematical relationships in nature are thus also part of human consciousness, it is all a holistic continuum. So, math is a discovery of existing relationships in reality - inside and outside of us - but the language of math is a human creation.
This reluctance is something typical Western: to see the human mind and the human being as separate from nature.
all these scientific technological advances yet we are no further forward in explaining conciouscness than we were 2,500 years ago, bizarre to say the least
Read Bhagavad Gita and Srimad Bhagavatam, or Sri Isopanishad.
I understand your point though, today's "science is completely materialistic.
_Is math an invention or a discovery?_ The only reasonable answer is "Both". If it must be one or the other, then the better answer has to be "Discovered". The idea that prime numbers aren't prime UNLESS there are humans present who understand what "prime" means strikes me as ridiculous. Therefore math cannot be simply "invented". In the absence of human sentience, math still exists. Math is (partly) a description of reality. If reality exists, so does math. Only Wrong math can be invented!
Human and human minds are part of the universe and reality. It would be very odd if our minds works in a different way the universe does. Unfortunately the video doesn’t conjecture that, talking about minds as outside the world, as usual
Lucas number are more better than Fibonacci number.
👍
@topquark22
Mathematically proving the ratio of positive to negative comments left on this channel.. statistically haha
They make so much about Newton's Law of Gravity but, they show us nothing about Newton's opinion that God is the architect of the Universe and mathematics ( geometry + arithmetic ) are His blueprints. Newton wrote much more about God than he did about mathematics.
There is no god it's just social conditioning which makes us to feel like that way.
The problem is he wrote some books in perfect Greek part of them theology.
His books are translated to Latin. (Latin version)
And from Latin to English.
So disrespectful for such a scientist.😢
Thanks to God I could read The original.
Not uncommon for someone in his era to also believe in the mystical
Entertaining but where’s the MATHS, started ok wit pi but not much else :(
Darren Aronofsky's "π" (Pi)
great math mystory my ass
Oh ya, if you are alls so smart why do we pay for the power that Tesla was going to make free for all?
Really? Nautilus shells are cool, but now I have to be amazed every time i cut open a cabbage? Fuck science. :/
lol
Math still can't explain Florida.
Something heavy and fast fell into the middle of what is now tha Gulf of Mexico. That would account for the west coast of Florida. 🌎🌠🌊It was more than a splash.
Maths is like Science. It is not for us to make a religion or belief system. One counter example destroys a hypothesis ( instantly )💧,🌊
Math++ He GodBonded onlY Him what brought down before they made from His Make ManyMany i Warn You DayHeartBreak We1 GodCuTTer OurCreator Will inHerent The 7GalaxyS and earth + whose on iT and Back To Us⚖️✅⚠️☑️
إذ قضي الأمر
God is a God of order, or else we have nothing to discover which is in order.
Anyone can build a bridge, only an engineer can build a bridge that is just strong enough to stand
To the guy who said....the universe is only based on mathematical properties, i have news for him. As much as I love maths and was studying it as my UnderGrad until my life changed directions, the universe is based on consciousness which is not based on maths or logic. Logic does not exist in nature
Does logic exist in the human mind? Are we part of nature?
@@EL-be_real Logic is a man-made construct and yes we are part of nature. One does not see rain use logic to fall. Nor do we see a tree use logic to grow. The universe is based on consciousness, not logic.
@@erniesulovic4734Logic is intelligence. I do not believe that it is a construct of man as it is readily seen in animals. What is a construct of man is how logic is expressed by man-- through maths and sciences... those are languages.
@@EL-be_real Good points. Fair enuf 🙂
The universe is conscious I take it Ur a Trump supporter lol😅
God's intelligent creation.
@@dalenebasson5628 Idiot level comment.
Sotona će vam sve obećati ali neće moći ostvariti vaše ciljeve.
I know this episode, are you running out of ideas?
shite
Pi (1998)
Haven't even started to watch the video but there you go haha.
Edit: intro was a turn-off. I'm not watching this.
Good. Time is short. Make your choice. Choose sometimes in your comfort zone. Explore for broadening your views sometimes outside your comfort zone.
This is hilarious bs. Brilliantly bad. 😂
Not bad. Outdated!
Saying maths is invented is out right nonsence. Even if homo sapiens are not there astronomy, cosmology or electro magnetic theory works. Maths doesn't need human intervention.
5:26 😂 "how evolution..." you got to believe this nonsense, because it's not scientific
Py is infinite. So is God.
Transcendental. GOD is transcendent , immanent and full of love and mercy. Isaiah chapter 55 et al.
Fractals etc. are infinite. An infinite decimal might be Pi, but it might be some number like the positive square root of two which is not transcendental. Consider doing a degree in mathematics (or Bible College) if you are happy about this comment, and haven't studied far yet.
Take your childish religions of choice elsewhere
@@siwilson1437 How grown-up. Fractals etc. are infinite. An infinite decimal might be Pi, but it might be some number like the positive square root of two which is not transcendental. Happy learning. Another choice: not to read the comments section. Another choice: not to respond to any of them. End of lesson.
I am an electronics engineer/software engineer and a musician, and as such, have always been fascinated by the maths associated with analogue and digital audio with geometry and trigonometry.
What a gift to the world is PBS NOVA … THANK YOU
this video is not new, saw it many years ago
WHERE........does Mathematics come from?
The MOST OBVIOUS answer........is........THE RIGHT REVEREND FATHER JEOA is the source of such profound intelligence
Who is jeoa?
@22:20 that is not exactly a scientific way to see which hand it would take the food from! She practically places her right hand - with the most food - in front of that Lemur's mouth! A professor???
Why does maths work so well in nature. If you have 1 apple and +
another, you get 2 apples.
What am I missing?
What about the human spirit or human soul? Are these just mathematics?? Oh, I hope not!!!
All this recycled footage off other related topics.
There is a great Mathemacian.
brilliant
π which symbolises periphery (περιφέρεια) of the cirkle equals to 3.14 of it's own diameter.
With other words if you know the size of the diameter, you know the π .
Example: 1 m. diameter of a circle, will have π periphery 3.14 m.
trying tests on different shapes than circle, doesn't make any sense.
It's a unique theory.
🤯🥶🤯
Math is like things....things are not like math. People worry about the ghost in the machine.....but the machine in the ghost is just as worrisome a problem.
math is invented to describe the world around us ,
the number 1 has ONE corner , the number 2 has actaul TWO corners , etc ...
that's all it is ...
Classical Logic - Stanford Encyclopedia of Philosophy , first sentence , math and logic are formal languages
the pattern we describe with it didn't have a choice in the matter , the pattern is ... just there , we saw the pattern , we needed a way to describe ... the pattern that 1 corner equals 1
it's a PHYSICAL RELATION between the concept in our head , which is also a pattern , and the pattern we see in reality
it's nothing magical or woo woo , it's just a description of reality created by us
the ''correspondence part'' ... is just a fluke , you might as well give it AGENCY , like a religious person does with the entire universe , maybe give it a name and a face to go with it ...
it's not because it corresponds , that it somehow FITS , WE MADE IT FIT !!!
that's the whole point of math and logic BEING A LANGUAGE in the first place and why it's the FIRST sentence in the classical logic department
OMG. This program has all the hallmarks of a re-hashing of the 3 parts documentary "Magic Numbers", hosted by mathematician Dr. Hanna Fry, and another documentary on the same subject hosted by physicist Dr. Jim Al-KHalili, all produced by the BBC. The resemblance is uncanny, and disturbing!
So it's true we do live in a computer simulation.
You think you can talk about maths without talking about "INDIAN Mathematicians" than "Goood Luck"
Why does it work at all? We live in a simulator. That is a computer. Computers use math.
We invented Notations and procedures , to discover Maths
Terrence Howard has just entered the house ladies and gents....
Great pbs, greetings from brazil
Esperanza Spalding!!!!!! ❤❤❤❤❤
😅
Forgive me, but in all fairness to scientific approach and method: I failed to see how they have proven whether lemurs can count thesis-ish: can species deemed more primitive than us also count numbers like us?) ..? All I saw was lemurs being able to discriminate between “one all alone” and “many.” I did the same. But I also know that I know near to nothing. Would very much like to read the paper on this research. Yup. Just sayin’, bit of a geek here☝🏼 Math and the many ideas concerning its makeups is all very cool, by the way 🙏🏼
We have no way to know how lemurs count. But the one that owns the local corner shop seems to have it sussed.
I'm wondering if you watched the entire lemur segment, where it goes quite beyond 'one v. many' objects on the screen, showing Terry choosing 3 v. 5 objects. Those are just circles, and it gets even more complex, including variations size, shape, color, and distribution.
Mathematicians count: 1, 2, .... when counting (or labelling ) lemmas (and corollaries) 😏
First Comment
Congratulations; You are now a member of that Lemur group!
Interesting behaviour, worthy of study
The commentators appear according to their agendas, their personas and social need, and/or their desire to be helpful, their seeking for knowledge , (best reasons)
We could study the rate of appearance of commentators as a data handling exercise with sociological possibility.
This is like saying "Isn't it amazing how the words we use to describe the universe describe it so well?"
People invented the mathematical abstractions we use to measure and quantify real things in our universe. Maths is simply a useful tool we have to do this. New techniques to make it easier or more accurate, etc are discovered from time to time.