I’m retired, so I am no longer identified by my job, I’m just an old bloke. I try to do mental activities such as cryptic crosswords and study mathematics. I’ve had to step back a bit and do pre calculus and got really stumped by polynomial division. Watched a few videos then the penny dropped. When I was in high school it may have taken weeks to find a book or a person to explain something like that. Now the internet finds an explanation in minutes! Thanks for the video!
His letter said my thoughts exactly! I’m discovering I have a passion for math, I wish I had taken a different course of study in undergrad, and I am so grateful for the help & inspiration I have received from this channel. And funny! I thought I was the only person who wondered if math was invented or discovered! 😂
I am really good (but not absolutely brilliant) in logic, and have an "algebraic" mind, but really poor spatial intuition. This was why I only got good in math after studying philosophy. I ended up majoring in both. And in no way am I gifted in it. I have limitations I've accepted. Also . . . Smullyan is a blast. If you think like me, check out Smullyan. You'll love him.
This video spoke to me!! I have an extensive mathematics library in my small two-room apartment and I myself have been passionate about math for many years. I even have a very close friend who is a math teacher at a community college in the Bay Area and I draw a lot of my mathematical inspiration from her and from the Math Sorcerer among others. Though I have autism and a General AS degree from Grossmont (Community) College that I received 25 years ago--but no real work experience, I still have loads of enthusiasm for math. And being that I'm retired (at age 56 [I'll be 57 on Monday the 30th of September]) and living on Social Security, I seem to have loads of time to indulge in whatever pursuit that is of interest to me including math! :) :)
Math is an invention because it is essentially a language, but what math describes is things we have discovered or observe around us. The math itself is like a map. It's an abstraction of real-world phenomena (to think of it in computer science terms).
It’s a lens in which to observe the universe. Another alien species (if we aren’t along) may very well have a different but similar lens that they view the universe through. That’s my opinion
In the early days people such as the Babylonians made some great strides in math, such as the Babylonian method (or perhaps "Greek Method" or Herons Method) of finding a square root etc. But in those times many had not yet invented the mathematical symbols we are familiar with nowadays. They often had to express Mathematical relationships more or less verbatim in their predominant language. I guess over time they developed various abrevations and perhaps some of their own symbols in order to make the task of writing math less labor intensive. But as an analogy, imagine if we were told today that we had to express math verbatim in English with none of the symbols we are familiar with. That was pretty much what Mathematicians were often tasked with in times long past
You’re comment is nearly correct. Computer science abstractions is a bad analogy of the phenomenon that the way you wrote the comment alludes to explain as the math being an abstraction of phenomenon.
@@ValidatingUsername How so? Abstraction in CS is using code to model a real-world thing, like making a student class to store information about a student in the real world for your school's database. In math you are doing the same kind of thing whenever you do something like describe how fast something is going using slopes and derivatives. That seems like the perfect analogy to me. In both instances, you are doing your best to describe something real with a set of symbols and rules. You can't just say "nearly correct" without giving good reasons as to why. You simply just said it's a "bad analogy" and yet didn't elaborate any further. I understand the insecure need to be the smartest person in the room, but you are going to have to try harder than that to actually get there.
I think the writer could be considered an amateur Mathematician. Unless one is doing "Math for Money", we're all amateurs. amateur (noun): "one who engages in a pursuit, study, science, or sport as a pastime rather than as a profession".
A good example of this is the story of Marjorie Rice a housewife who turned mathematician while reading Gardner's column and who wrote to him about his article on tessellating the plane with convex polygon tiles. She was quiet successful she discovered in her kitchen over 58 convex polygons not foreseen by professional mathematicians. Check out her story, it's a great one.
@@LNCMD2023 Indeed, it does matter! Regular pentagons don't tessellate the plane. In general, the shapes must be congruent, or identical, and have angles that are divisors of 360° in order to tessellate the plane in a manner that goes on forever. The only regular polygons that tessellate the plane are triangles, squares and hexagons.
I got my undergrad and grad degrees in Math. Professionally I did some teaching and worked in different areas , i.e. sciences, engineering, insurance, computer programming, private consulting, tutoring, etc. One day a friend referred to me as a "professional mathematician", and that got me thinking, what / who is a Mathematician? Eventually, I concluded, if you have a love or passion for learning,, doing, or teaching math then you are a Mathematician regardless.of if you have a math degree or no degree. You can be self taught, you can be doing very basic or very high level math, solving math puzzles, whatever. If you enjoy doing math and/or are passionate about it then you are a Mathematician.
Mathematics is a well founded game people play. In playing it, they make it bigger an bigger. What I'm trying to say is: we invited it. We make sure it complys with te world surrounding us. Take for example Geometry. Flat geometry stud up for centuries. When they changed the original axiom they created new geometries. After that they saw this new areas could be used to model other parts of the physical world, but by then, people have had good time playing with the new toy.
Really nice video as always! I was asking myself the same type of questions when in grad school studying Topology and Real/Complex Analysis....till I came across a wonderful book titled I Want to be a Mathematician by Paul Halmos. He was a world famous Hungarian Mathematician and that book is his autobiography about his life work as a mathematician from the 1930's till 1960's I think.
I am on mathematics since a long time ago (more than a decade) but never experimented truly feeling of impression before reading the complete works of Ramanujan... I was reading on my living room and my brother said "Why do you laugh so hard for that symbols? Do you understand something?" and I answered "I understand almost nothing but the person who wrote he was a genius and you can enjoy it like hearing Mozart without know how to play a musical instrument". In any case, Sorcerer sorry to correct you but the greatest mathematian of all time was Euler haha, it is not necesary to read a lot of Euler works, reading modern mathematics at the end is use Euler ideas in almost all circustances.
When it comes to application of mathematics in physics like complex analysis in electrodynamics or quantum mechanics it feels like math was discovered. For instance the iota in the Schrödinger's equation indicating that nature deals in complex numbers.
I nearly always take something with me to read when I go to the doctor. Sometimes it is a magazine. Sometimes fiction. Sometimes it is the latest problem set from the US Mathematical Talent Search (they have some really good problems). Sometimes it is a math or other science book. I have noticed that whenever my usual doctor steps into the examination room while I'm concentrating on a math book, when the examination is over, he shakes my hand. It always catches me by surprise. Only one other time has he ever shaken my hand and that was after thanking him for making sure I got a certain diagnostic test done. The other doctors never shake my hand. The last time I went to the doctor (my usual doctor was out of town), I had a book written by a medical doctor with me. The doctor I saw that day had read the book and so we talked about the book briefly, but I got no offer of a handshake.
'Is God a Mathematician' by Mario Livio is an excellent book. Chapter 1 has a discussion paraphrased from Penrose: The miracle of the appropriateness of the language of mathematics to the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve." Second: "the perceiving minds themselves - the dwelling of our conscious perceptions - somehow emerged from the physical world. How was mind literally born out of matter." Third: "Finally the loop is mysteriously closed. Those perceiving minds were miraculously able to gain access to the mathematical world." That should be enough motivation to take this gift and do some math/physics on a daily basis. Life is indeed sweet and I am living at the perfect time.
We observe the world through the lens of our body. I cannot deny what you said, nor can I confirm it. I would be happy to read someone’s thoughts on this topic.
Yay! Your bookshelf is back. I was really worried you got rid of all of your books in the sell. But looks like you kept quite a few. Hope all is well and settled, I know you seem really distressed when you originally mentioned your move.
Maybe things only exist for bragging rights and oppressing people. Math doesn't mean anything because you can't take it with you when you die and it's only here for the above 2 things.
I've always been terrible at math, although I understand the functionality of it. I don't understand how the equations and designation of variables come from. Basically learning the language of math is the hardest part lol.
Sadly many teachers can't "translate the statements behind the music of math", and they're still in the "dancing to this alien music very well" stage. It took me a few years of teaching to really start to "hear" what the equations were saying and what they were looking for. But you'll get there with practice.
It's interesting that you talked about G.H. Hardy because he had a reputation as one of the most elitist mathematicians. Ramanujan was considered an odd example of generosity on his part. I read his book "A Mathematician's Apology" and it made a strong impression. But one quote that I can't find a reference for, in a way, soured me on him although he was a great mathematician. He ranked mathematicians basically in ranks from 1 to n. He undoubtably was in the first rank and he said it pained him even to talk to mathematicians that he considered in the 5th rank and below.
Hi. Here is my take on the definition of math: I see math as a language. The numbers and symbols cold be seen as letters, and the formulas and problems could de seen as words an sentences. We use this math "language" to interpret and manipulate the laws in nature to our advantage. With this language we can communicate these laws to each other. But unlike natural language, before each "word" could be created, it needs to be proven that it correlates with the laws of mathematics, else these math "words" would be incorrect. You might call a apple a car if you did not prove that it works. So yes, math is symbols we invented, which first needed to be proven it syncs with math law before we could use it. That is my take on it
David Smith, the man who created the first aperiodic monotiling - a solution that was not known to exist and had eluded mathematicians for some time- did and does not have any degrees in STEM but liked jigsaw puzzles and playing with shapes. I think that anyone that has mathematics speaking to them is a mathematician.
Hello and thanks for your passionate videos, I have a real question: I know that in the history of mathematics, significants achievements have been made by people who were geniuses with above average abilities like Gauss for example, however is it possible to be "normal", good at math and still contribute effectively to mathematics, like reach Fields medal level for example?
Can you please find some good books on basic yet highly tricky algebra problems? I haven looking for a good one for a while, and it is driving me nuts. I don't have access to a library. By "basic" , I mean more basic than combinatorics. Most algebra problem books target the olympiads, but I want one that mainly covers Algebra 1, surds, indices, etc. I think that is the level where Algebraic intuition grows. I do have a collection of suitable school papers and junior olympiad papers at home, but most of that stuff isn't widely available in a handy package, so there is nothing for me to recommend to others. I did find an excellent school geometry problem book, namely Aref and Wernick, the only one that covers triangles instead of jumping straight to circles, but no luck with algebra.
It's right Ramanujan didn't have formal education, but he could just invent new formulas out of like nowhere. Even though I solve humongous math problems I wouldn't feel like a mathematician unless I invent something like him.
Ramanujan didn't have training up until Hardy got hold of him. And he didn't prove (and didn't know how to prove) the theorems he intuited. I'm not sure if he even thought that was important. Don't get me wrong: Ramanujan certainly, had very deep insight, into particularly hard mathematics... yet... IMO, you can't say he was a mathematician in the modern sense of the word, until he got to Trinity.
A mathematician is someone who is engaged in math research either in pure or in applied math. Thus a phd (or any equivalent doctorate such as dr rer nat which is german). In the case of Ramanujan, he did have a formal education in mathematics which is a BA degree by research which is the predecessor of the phd degree during that time. And as you have said, he was a genius. He is not some ordinary student who would consider themselves a mathematician just because they could pick up a math book and do a chapter exercise in calculus. Maybe it is true that you can be called a mathematician during Ramanujan's time, but this is not true in the current time period because our world is changing and there are lots of mathematical discoveries happening recently and it is too abstract that the only way you can add an original contribution to the current body of knowledge is by doing a research in math, by getting a phd in math. Passion for math does not imply a "mathematician" because being a mathematician is more than being passionate in math. It is a combination of passion and aptitude/talent. Whether math is discovered or invented does not change how mathematicians do their work (tbh i find this particular question silly rather than a deep one).
@@rojo9909 I get that completely. There is proof and theory and abstract work in mathematics and then there is math as a tool and serving as the language of applied science in action for engineering. Apples and oranges sometimes. But not completely mutually exclusive.
I believe math is both an invention and a discovery. While we started to use math as an invention for practical purposes, as we progressed, math assumed more the character of a discovery rather than an invention. However, their are limits to what math can do (Kurt Gödels Incompleteness theorems)
@@douglasstrother6584 The good old days when everyone spoke LaTeX.... \begin{equation} \overline{x} =\frac{x-vt}{sqrt{1-v^2}} \end{equation} Hmmmm. Never mind :D
How do you know if you are a mathematician? You are a mathematician if you think you can use mathematics to meet women. (I'm guilty.) Here's an example: the pickup-line: "Hey, did you know that the intersection of two pickup planes is a pickup line?"
Look to Nature: birds somehow know when that last twig is enough to hold their weight and their eggs, elephants somehow remember graveyard locations, lost canines and felines may finally return to human friends after months and years of being lost in unfamiliar territory. Nature reasons with chemical patterns twenty-four hours a day. We discovered - rather, uncovered - patterns in the energetic reality around us. In the purest sense, we are describing patterns. This is a semiotic function. Semiosis: the ability to make and understand signs, THE defining feature of Life itself. Something deep and core about all Life is the ability to maintain cohesion and propagate new patterns: themselves, their ideas. In the context of 'always there' versus 'came from humans', I suggest the patterns were always there. We developed a system of observations and ideas, and particular grammars for communicating these observations, but the patterns were always there. They will ALWAYS be there. Heaven knows the signs were always there, but the seer of the sign...where is he? - Ralph Waldo Emerson, Essay on Demonology, 1875
The definition of mathematician is vague (google: an expert in or a student in mathematics). By this definition, anyone who is currently a maths student (even middle schoolers) are mathematicians.
You don't need magic or simplified ancient fantasy books to live fullest and most interesting life if you know things. That's why. Abandoning religion is like shattering your little paper walls, no matter how beautiful, but limiting. It may be painful in the beginning, but there, in this vast world with philosophy, art, math, science etc.
Eh, As a Nihilist, I'd argue math is mainly invented as an abstract concept to have an understanding of the universe, used to describe the physical world, similar to how languages are used to describe our emotions. Open to discussion, though! Edit:-On further thought, I'd argue they are both. The symbols we use were invented. The underlying relationships were discovered. Math, however, would make little sense without the symbols.
@@philj9594 I don't think anything actually exists as a concept, which is why I'm inclined to believe math as an invented concept, although the underlying relationships were discovered
Man, you are nearly gonna hit 1 million sub & still I can't find your mail id that's legendary but it's something important dm'd you on instagram aswell
I met a young woman many years ago that had a master's degree in economics. I asked her, when did she intend to complete her doctoral degree. She asked me, why should I? I replied so you can become an economist. She informed me that she already works as an economist. I was baffled, how could you ( the young lady) be an economist without a PhD? She had to repeat it to me several times before it sunk in, get a job as an economist! A mathematician is any person that secures a position as a mathematician.
That seems a very narrow definition. Historically we refer to many people as "Mathematician" or "A Great Mathematician" even though many of them never held a job specifically with the title of "Mathematician". Some of them never even had the formal education that we now often consider essential. Most Mathematicians I know never held a professional job with the specific title of "Mathematician". Thus I would say the title of "Mathematician" lies beyond simply securing a job with that rarely seen title.
Please dont response Im the greatest (genius) mathematician, scientist and entrepreneur alive. Math takes some time to learn, already won the fields medal (=axiomatic Systems, statistical learning=300 years of math). Best regards.
I’m retired, so I am no longer identified by my job, I’m just an old bloke. I try to do mental activities such as cryptic crosswords and study mathematics. I’ve had to step back a bit and do pre calculus and got really stumped by polynomial division. Watched a few videos then the penny dropped. When I was in high school it may have taken weeks to find a book or a person to explain something like that. Now the internet finds an explanation in minutes! Thanks for the video!
4:16 shout out to Ramanujan! He was an out of this world mathematician.
His letter said my thoughts exactly! I’m discovering I have a passion for math, I wish I had taken a different course of study in undergrad, and I am so grateful for the help & inspiration I have received from this channel. And funny! I thought I was the only person who wondered if math was invented or discovered! 😂
I am really good (but not absolutely brilliant) in logic, and have an "algebraic" mind, but really poor spatial intuition. This was why I only got good in math after studying philosophy. I ended up majoring in both. And in no way am I gifted in it. I have limitations I've accepted.
Also . . . Smullyan is a blast. If you think like me, check out Smullyan. You'll love him.
This video spoke to me!! I have an extensive mathematics library in my small two-room apartment and I myself have been passionate about math for many years. I even have a very close friend who is a math teacher at a community college in the Bay Area and I draw a lot of my mathematical inspiration from her and from the Math Sorcerer among others. Though I have autism and a General AS degree from Grossmont (Community) College that I received 25 years ago--but no real work experience, I still have loads of enthusiasm for math. And being that I'm retired (at age 56 [I'll be 57 on Monday the 30th of September]) and living on Social Security, I seem to have loads of time to indulge in whatever pursuit that is of interest to me including math! :) :)
Math is an invention because it is essentially a language, but what math describes is things we have discovered or observe around us. The math itself is like a map. It's an abstraction of real-world phenomena (to think of it in computer science terms).
It’s a lens in which to observe the universe. Another alien species (if we aren’t along) may very well have a different but similar lens that they view the universe through. That’s my opinion
In the early days people such as the Babylonians made some great strides in math, such as the Babylonian method (or perhaps "Greek Method" or Herons Method) of finding a square root etc. But in those times many had not yet invented the mathematical symbols we are familiar with nowadays. They often had to express Mathematical relationships more or less verbatim in their predominant language. I guess over time they developed various abrevations and perhaps some of their own symbols in order to make the task of writing math less labor intensive. But as an analogy, imagine if we were told today that we had to express math verbatim in English with none of the symbols we are familiar with. That was pretty much what Mathematicians were often tasked with in times long past
You’re comment is nearly correct.
Computer science abstractions is a bad analogy of the phenomenon that the way you wrote the comment alludes to explain as the math being an abstraction of phenomenon.
@@ValidatingUsername How so? Abstraction in CS is using code to model a real-world thing, like making a student class to store information about a student in the real world for your school's database. In math you are doing the same kind of thing whenever you do something like describe how fast something is going using slopes and derivatives. That seems like the perfect analogy to me. In both instances, you are doing your best to describe something real with a set of symbols and rules. You can't just say "nearly correct" without giving good reasons as to why. You simply just said it's a "bad analogy" and yet didn't elaborate any further. I understand the insecure need to be the smartest person in the room, but you are going to have to try harder than that to actually get there.
@@FrizzTradez Yep! That's a good point, Frizz. I think the same. :)
I just got an A on my first discrete mathematics exam! I’m so hooked on this type of mathematics! Time to study for my differential equations exam 😮
I think the writer could be considered an amateur Mathematician. Unless one is doing "Math for Money", we're all amateurs.
amateur (noun): "one who engages in a pursuit, study, science, or sport as a pastime rather than as a profession".
A good example of this is the story of Marjorie Rice a housewife who turned mathematician while reading Gardner's column and who wrote to him about his article on tessellating the plane with convex polygon tiles. She was quiet successful she discovered in her kitchen over 58 convex polygons not foreseen by professional mathematicians. Check out her story, it's a great one.
Just curious. Does the tile being convex make a difference in this problem? In real life, people would use a convex tile on the wall or ceiling.
@@LNCMD2023 Indeed, it does matter! Regular pentagons don't tessellate the plane. In general, the shapes must be congruent, or identical, and have angles that are divisors of 360° in order to tessellate the plane in a manner that goes on forever. The only regular polygons that tessellate the plane are triangles, squares and hexagons.
I got my undergrad and grad degrees in Math. Professionally I did some teaching and worked in different areas , i.e. sciences, engineering, insurance, computer programming, private consulting, tutoring, etc. One day a friend referred to me as a "professional mathematician", and that got me thinking, what / who is a Mathematician? Eventually, I concluded, if you have a love or passion for learning,, doing, or teaching math then you are a Mathematician regardless.of if you have a math degree or no degree. You can be self taught, you can be doing very basic or very high level math, solving math puzzles, whatever. If you enjoy doing math and/or are passionate about it then you are a Mathematician.
Mathematics is a well founded game people play. In playing it, they make it bigger an bigger.
What I'm trying to say is: we invited it. We make sure it complys with te world surrounding us.
Take for example Geometry. Flat geometry stud up for centuries. When they changed the original axiom they created new geometries. After that they saw this new areas could be used to model other parts of the physical world, but by then, people have had good time playing with the new toy.
You mean Euclidean and non Euclidean geometries such as projective geometries?
@@WitchidWitchid Yes. We invent math.
Really nice video as always! I was asking myself the same type of questions when in grad school studying Topology and Real/Complex Analysis....till I came across a wonderful book titled I Want to be a Mathematician by Paul Halmos. He was a world famous Hungarian Mathematician and that book is his autobiography about his life work as a mathematician from the 1930's till 1960's I think.
Why is this channel that I follow and subscribe? Because everytime I hear him, I feel so inspirational.
You are the best maths instructor.
I am on mathematics since a long time ago (more than a decade) but never experimented truly feeling of impression before reading the complete works of Ramanujan... I was reading on my living room and my brother said "Why do you laugh so hard for that symbols? Do you understand something?" and I answered "I understand almost nothing but the person who wrote he was a genius and you can enjoy it like hearing Mozart without know how to play a musical instrument". In any case, Sorcerer sorry to correct you but the greatest mathematian of all time was Euler haha, it is not necesary to read a lot of Euler works, reading modern mathematics at the end is use Euler ideas in almost all circustances.
EXACTLY. You start hearing it and it's like this intensely perfectly timed music. Sometimes you just want to say "damn" after solving some of these.
When it comes to application of mathematics in physics like complex analysis in electrodynamics or quantum mechanics it feels like math was discovered. For instance the iota in the Schrödinger's equation indicating that nature deals in complex numbers.
I nearly always take something with me to read when I go to the doctor. Sometimes it is a magazine. Sometimes fiction. Sometimes it is the latest problem set from the US Mathematical Talent Search (they have some really good problems). Sometimes it is a math or other science book.
I have noticed that whenever my usual doctor steps into the examination room while I'm concentrating on a math book, when the examination is over, he shakes my hand. It always catches me by surprise.
Only one other time has he ever shaken my hand and that was after thanking him for making sure I got a certain diagnostic test done.
The other doctors never shake my hand. The last time I went to the doctor (my usual doctor was out of town), I had a book written by a medical doctor with me. The doctor I saw that day had read the book and so we talked about the book briefly, but I got no offer of a handshake.
'Is God a Mathematician' by Mario Livio is an excellent book. Chapter 1 has a discussion paraphrased from Penrose: The miracle of the appropriateness of the language of mathematics to the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve." Second: "the perceiving minds themselves - the dwelling of our conscious perceptions - somehow emerged from the physical world. How was mind literally born out of matter." Third: "Finally the loop is mysteriously closed. Those perceiving minds were miraculously able to gain access to the mathematical world." That should be enough motivation to take this gift and do some math/physics on a daily basis. Life is indeed sweet and I am living at the perfect time.
Math was discovered but not invented
-my thought
We observe the world through the lens of our body. I cannot deny what you said, nor can I confirm it. I would be happy to read someone’s thoughts on this topic.
Yay! Your bookshelf is back. I was really worried you got rid of all of your books in the sell. But looks like you kept quite a few. Hope all is well and settled, I know you seem really distressed when you originally mentioned your move.
Why is that many Mathematicians are philosophers, and many scientists are Atheist?
If these people are so smart explain why the earth is a giant shit hole.
@@itzhexen0The answer to that is dialectical materialism lol
Notice how this person is not naming any of these people so we can dissect how full of crap they are?
Atheist just means there is no god to save you from anything in this life or the supposed afterlife. Basically we could nuke the planet right now.
Maybe things only exist for bragging rights and oppressing people. Math doesn't mean anything because you can't take it with you when you die and it's only here for the above 2 things.
I really want that applications of linear algebra book you’re selling, but unfortunately there’s no shipping to my location
I've always been terrible at math, although I understand the functionality of it. I don't understand how the equations and designation of variables come from. Basically learning the language of math is the hardest part lol.
Sadly many teachers can't "translate the statements behind the music of math", and they're still in the "dancing to this alien music very well" stage. It took me a few years of teaching to really start to "hear" what the equations were saying and what they were looking for. But you'll get there with practice.
It's interesting that you talked about G.H. Hardy because he had a reputation as one of the most elitist mathematicians. Ramanujan was considered an odd example of generosity on his part. I read his book "A Mathematician's Apology" and it made a strong impression. But one quote that I can't find a reference for, in a way, soured me on him although he was a great mathematician. He ranked mathematicians basically in ranks from 1 to n. He undoubtably was in the first rank and he said it pained him even to talk to mathematicians that he considered in the 5th rank and below.
Hi. Here is my take on the definition of math: I see math as a language. The numbers and symbols cold be seen as letters, and the formulas and problems could de seen as words an sentences. We use this math "language" to interpret and manipulate the laws in nature to our advantage. With this language we can communicate these laws to each other. But unlike natural language, before each "word" could be created, it needs to be proven that it correlates with the laws of mathematics, else these math "words" would be incorrect. You might call a apple a car if you did not prove that it works. So yes, math is symbols we invented, which first needed to be proven it syncs with math law before we could use it.
That is my take on it
The last few sentences of the email sounded like they were written with a fountain pen on fine parchment.
David Smith, the man who created the first aperiodic monotiling - a solution that was not known to exist and had eluded mathematicians for some time- did and does not have any degrees in STEM but liked jigsaw puzzles and playing with shapes. I think that anyone that has mathematics speaking to them is a mathematician.
Hello and thanks for your passionate videos, I have a real question: I know that in the history of mathematics, significants achievements have been made by people who were geniuses with above average abilities like Gauss for example, however is it possible to be "normal", good at math and still contribute effectively to mathematics, like reach Fields medal level for example?
Can you please find some good books on basic yet highly tricky algebra problems? I haven looking for a good one for a while, and it is driving me nuts. I don't have access to a library.
By "basic" , I mean more basic than combinatorics. Most algebra problem books target the olympiads, but I want one that mainly covers Algebra 1, surds, indices, etc. I think that is the level where Algebraic intuition grows. I do have a collection of suitable school papers and junior olympiad papers at home, but most of that stuff isn't widely available in a handy package, so there is nothing for me to recommend to others.
I did find an excellent school geometry problem book, namely Aref and Wernick, the only one that covers triangles instead of jumping straight to circles, but no luck with algebra.
It's right Ramanujan didn't have formal education, but he could just invent new formulas out of like nowhere. Even though I solve humongous math problems I wouldn't feel like a mathematician unless I invent something like him.
Ramanujan didn't have training up until Hardy got hold of him. And he didn't prove (and didn't know how to prove) the theorems he intuited. I'm not sure if he even thought that was important. Don't get me wrong: Ramanujan certainly, had very deep insight, into particularly hard mathematics... yet... IMO, you can't say he was a mathematician in the modern sense of the word, until he got to Trinity.
1 million subscribers before the end of the year?!?
A mathematician is someone who is engaged in math research either in pure or in applied math. Thus a phd (or any equivalent doctorate such as dr rer nat which is german). In the case of Ramanujan, he did have a formal education in mathematics which is a BA degree by research which is the predecessor of the phd degree during that time. And as you have said, he was a genius. He is not some ordinary student who would consider themselves a mathematician just because they could pick up a math book and do a chapter exercise in calculus. Maybe it is true that you can be called a mathematician during Ramanujan's time, but this is not true in the current time period because our world is changing and there are lots of mathematical discoveries happening recently and it is too abstract that the only way you can add an original contribution to the current body of knowledge is by doing a research in math, by getting a phd in math. Passion for math does not imply a "mathematician" because being a mathematician is more than being passionate in math. It is a combination of passion and aptitude/talent. Whether math is discovered or invented does not change how mathematicians do their work (tbh i find this particular question silly rather than a deep one).
The algorithm showed me this video. To answer the question, no, I am not secretly a mathematician. Silly algorithm.
I'm from India and I can tell you that Ramanujan was taking formal education he went to schools and performed exceptionally well there
I am a registered engineer actually, not a mathematician but an applied math and science problem solver basically.
Math on engineering not= to math on mathematics
@@rojo9909 I get that completely. There is proof and theory and abstract work in mathematics and then there is math as a tool and serving as the language of applied science in action for engineering. Apples and oranges sometimes. But not completely mutually exclusive.
Love from Italy❤
I believe math is both an invention and a discovery.
While we started to use math as an invention for practical purposes, as we progressed, math assumed more the character of a discovery rather than an invention. However, their are limits to what math can do (Kurt Gödels Incompleteness theorems)
You went to CMU? Me too for grad school in math.
Axioms are invented. Theorems are discovered. Next?
Freeman Dyson was a professional physicist who never got his PhD
Yes I literally failed in my mid terms
I avoided IRC for a long time because my typing skills were so bad. Did you have fun writing equations in ASCII?
Remember Usenet? Good ol' coal-fired Internet!
@@douglasstrother6584 The good old days when everyone spoke LaTeX....
\begin{equation}
\overline{x} =\frac{x-vt}{sqrt{1-v^2}}
\end{equation}
Hmmmm. Never mind :D
@@wkgmathguy218 *That's* what I'm talkin' about!
Always hide your true power level
Discovered gang
46 seconds is crazy
Yeah... i felt like i am watching a video from 70 years ago. Thoughtful questions and framing and sensitive and equally thoughtful answering.
How do you know if you are a mathematician? You are a mathematician if you think you can use mathematics to meet women. (I'm guilty.) Here's an example: the pickup-line: "Hey, did you know that the intersection of two pickup planes is a pickup line?"
SAME EMAIL BUT CHANGE "MATHEMATICIAN" TO "SCIENTIST"
You want to know if x is a mathematician: ask a mathematician...they'll tell you... for sure.
Look to Nature: birds somehow know when that last twig is enough to hold their weight and their eggs, elephants somehow remember graveyard locations, lost canines and felines may finally return to human friends after months and years of being lost in unfamiliar territory. Nature reasons with chemical patterns twenty-four hours a day.
We discovered - rather, uncovered - patterns in the energetic reality around us. In the purest sense, we are describing patterns. This is a semiotic function. Semiosis: the ability to make and understand signs, THE defining feature of Life itself.
Something deep and core about all Life is the ability to maintain cohesion and propagate new patterns: themselves, their ideas.
In the context of 'always there' versus 'came from humans', I suggest the patterns were always there.
We developed a system of observations and ideas, and particular grammars for communicating these observations, but the patterns were always there.
They will ALWAYS be there.
Heaven knows the signs were always there, but the seer of the sign...where is he?
- Ralph Waldo Emerson, Essay on Demonology, 1875
hello sorcerer i hope you doing well
im a trader can you talk about forcasting price mouvements using math and equations please.
Love from India, let me see the video... 🎉
Beautiful that you mentioned Ramanujam...
The definition of mathematician is vague (google: an expert in or a student in mathematics). By this definition, anyone who is currently a maths student (even middle schoolers) are mathematicians.
I WANNA GET BACK FROM THE LAZY, PROCRASTINATING SELF TO THE ACTIVE ULTIMATE-LEVEL SELF!!!! I NEED TO!!! ELSE IT'S THE END OF MEEE AHHHHHHH
You don't need magic or simplified ancient fantasy books to live fullest and most interesting life if you know things. That's why.
Abandoning religion is like shattering your little paper walls, no matter how beautiful, but limiting. It may be painful in the beginning, but there, in this vast world with philosophy, art, math, science etc.
@@bxp_bass you can't gaslight me to atheism!! haha! but yk what, imma gonna be great.
I’m right there with you.
@@beksaylor thanks, warrior!
@@samrubenabraham6979 oops, wrong thread, sorry
Mathematical ideas are discovered. The notation that we use to express these ideas is of course invented. That is at least my stance on the subject.
Why can't we consider the authors as mathematicians,
Eh, As a Nihilist, I'd argue math is mainly invented as an abstract concept to have an understanding of the universe, used to describe the physical world, similar to how languages are used to describe our emotions. Open to discussion, though!
Edit:-On further thought, I'd argue they are both. The symbols we use were invented. The underlying relationships were discovered. Math, however, would make little sense without the symbols.
Not sure what nihilism has to do with that.
Hello my fellow nihilist comrade
@@philj9594 I don't think anything actually exists as a concept, which is why I'm inclined to believe math as an invented concept, although the underlying relationships were discovered
Sir, I've been trying to contact you in every way possible 😢 how to contact you ??? 🙏
Man, you are nearly gonna hit 1 million sub & still I can't find your mail id that's legendary but it's something important dm'd you on instagram aswell
Read the channel description. Read it carefully like a mathematician.
@@Hofer2304 really bruh I can't find it & I suck at maths if u have got 'em send 'em
Ok, now he’s just lying to us.
4:33 i am from india
the title made me laugh 🤭 (no, i'm not)
I met a young woman many years ago that had a master's degree in economics. I asked her, when did she intend to complete her doctoral degree. She asked me, why should I? I replied so you can become an economist.
She informed me that she already works as an economist. I was baffled, how could you ( the young lady) be an economist without a PhD?
She had to repeat it to me several times before it sunk in, get a job as an economist!
A mathematician is any person that secures a position as a mathematician.
That seems a very narrow definition. Historically we refer to many people as "Mathematician" or "A Great Mathematician" even though many of them never held a job specifically with the title of "Mathematician". Some of them never even had the formal education that we now often consider essential. Most Mathematicians I know never held a professional job with the specific title of "Mathematician". Thus I would say the title of "Mathematician" lies beyond simply securing a job with that rarely seen title.
IWNBAR mathematician
Has anyone told you that you look like Jeff Bezos?
I think he looks like newton
Please dont response
Im the greatest (genius) mathematician, scientist and entrepreneur alive. Math takes some time to learn, already won the fields medal (=axiomatic Systems, statistical learning=300 years of math).
Best regards.
Is that Jeff Bezos with a wig?
No it is his angelic clone who is much more chill. This man literally looks like a straight up angel.
You forgot the hat.
I'm not watching until you get one.
=/
Jeff Bezos out here teachin math
His angelic foil who I much prefer.
FR
Mathematics is discovered by humans. God invented Mathematics.