The Great Math Mystery (2015) FULL SPECIAL | NOVA | PBS America 

I stopped watching traditional Televison and now you tube is my permanent home thanks to productions like these

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.

Stop the background music it's not necessary and really distracting!

"Concepts are invented while relations are discovered." You know, that description of the nature of mathematics makes the most sense to me.

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.

PBS NOVA, it doesn't get any better than this!

What a gift to the world is PBS NOVA … THANK YOU

Imagine all these historical math geniuses being with us today? They would be so in their element.

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".

Math is emergent from the underlying dynamical system. Just like all macro properties and patterns.

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).

Someone need to make Pla-to. A modeling clay that come pre-formed in the shapes of Platonic solids.

_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!

WHERE........does Mathematics come from? The MOST OBVIOUS answer........is........THE RIGHT REVEREND FATHER JEOA is the source of such profound intelligence

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.

@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???

There is logic, math is all around us. We discovered it. Quantum is of a different level. It has to be logic, not ghostly.

Really? Nautilus shells are cool, but now I have to be amazed every time i cut open a cabbage? Fuck science. :/ lol

Not A Maths Personal But Its Significance Is Exciting. Enjoying From The Caribbean 🇻🇨

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?

this video is not new, saw it many years ago

Pi is MORE Than dismal rounded circle 💡 Pi *Surrounds *Up *Down * Sides💡 Mc Pi *Brings💡 Pi Type Makes *Mass *Volume💡 ThankYoU@e٦💡

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++ 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

If everything is “math” then how did mathematicians come into being? We don’t encounter this problem with “physical reality” because to the latter we attribute objective existence, which is ludicrous in the case of the former.

I know that birds can count because the defensive maneuver of an Indian walking stick (phasmid) is to make its six legs look like four legs.

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.

We count following a base 10 system. If we counted by say a base 11 system, is there an analagous Fibronacci series ?

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

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.

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!!!

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.

All this recycled footage off other related topics.

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 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!

God is a God of order, or else we have nothing to discover which is in order.

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.

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

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.

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.

Human brains think in sequences, comparing things and their properties and amounts. So math wasn't invented or discovered. It's natural

@topquark22 Mathematically proving the ratio of positive to negative comments left on this channel.. statistically haha

You think you can talk about maths without talking about "INDIAN Mathematicians" than "Goood Luck"

Well now I want pie.

That bass player tho khhh

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?

Entertaining but where’s the MATHS, started ok wit pi but not much else :(

I love Pi Apple Pie, Steak Pie, Chicken Pie.....LOL!

I stick to my rule, which is `when I`m reading maths and finding it easy I`m doing something wrong !`

Why does it work at all? We live in a simulator. That is a computer. Computers use math.

Oh ya, if you are alls so smart why do we pay for the power that Tesla was going to make free for all?

well done

Realy I like this video

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.

Thanks!

So it's true we do live in a computer simulation.

Reality bends to mathematics.

Things moved so fast leading to Relativity theory and long enigma of quantum physics.We the brave new world are unraveling it all

We invented Notations and procedures , to discover Maths

Brilliant channel 💯 🙏

Terrence Howard has just entered the house ladies and gents....

I know this episode, are you running out of ideas?

brilliant

Can't choose quality. Damn it's as blur as can be...

There is a great Mathemacian.

Lucas number are more better than Fibonacci number.

Mathematics is a language we use to describe nature. It's a cultural construct. Mathematics follows nature, not vice-versa.

Could do without background noise.

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 🙏🏼

When you get there, you at the beginning.😊

Harmonic series is the only perfect musical scale.

adam is an excellent engineer i loved seeing him in the perserverance rover doc

This is hilarious bs. Brilliantly bad. 😂

Sotona će vam sve obećati ali neće moći ostvariti vaše ciljeve.

Great pbs, greetings from brazil

shite

This was posted previously.

what new ideas about mathematics did you learn?

The language of proportions

BSIE 1-5N

beautiful! thank you

great math mystory my ass

18,912

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

Math still can't explain Florida.

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.

Esperanza Spalding!!!!!! ❤❤❤❤❤

👍

😅

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.

Darren Aronofsky's "π" (Pi)

First Comment

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.

Allah God created everything with perfect...it revealed 1400 year ago now science approaching more and more of each verse

God's intelligent creation.

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.

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

Anyone can build a bridge, only an engineer can build a bridge that is just strong enough to stand