We "teach" both spherical geometry and topology in preschool. It's not hard, nor is it really something new. Kids experience both every day. All that's missing is someone to put their experiences into the right terms, i.e. a ball is a ball because it's a sphere. If we take the air out of the ball, is it still a ball? can it do the things a ball does? It's still topologically equivalent to the spherical ball, but yet it's somehow changed. Suddenly you're not teaching maths any more but philosophy
Ohh that's right you don't get to watch TV in communist China in communist China TV watches you.
Obviously Harry refers to Harry Houdini - Greatest Welsh Born Film Director
Obviously Sally refers to Sally Jessy Raphael - greatest person to fight of the communists in cold war Russia circa 1985 when America invaded Pingluo, Communist China, to destroy the massive opium trade that was ripping apart cities across the globe. It was a treacherous task.
@AnonymousWhitePerson "Euclidean Geometry is based on unproven A Priori Axioms"... so is Riemannian geometry; it's just that the fifth postulate of Riemannian is the negation of Euclid's fifth postulate. You know, the one with the parallels?
"and is premised on a faulty assumption that the shape of the Universe is Flat" It's premised on the assumption of a non-changing curvature. If you want to sound educated, at least use the proper lingo.
It is a complete Farce which was summarily destroyed by Bernard Riemann in his 1799 habilitation discourse, Über die Hypothesen, welche der Geometrie zu Grunde liegen.
@AnonymousWhitePerson Correct me if I'm wrong, but Riemann's geometry started out as a thought experiment: what happens if the fifth postulate is turned on its head? The answer: an entirely different, entirely consistent geometry. It wasn't until Einstein's relativity that we demonstrated space is on the large scale not-flat and the geometry of the Universe is Riemannian.
BUT on the local, small scale region, Euclidean geometry works just fine.
I heard a story once on Bernard Reimann, and they said he hated Euclidean Geometry in that it wasn't real math or something along those lines. I recently bought a Euclidean Math book and I dont' like very much. I'm still doing it though slowy, very slowly. I hate 'doing' proofs.
How can you teach a "non" without a concept of the true?
Euclidean Geometry is beautifully logical, impeccably linear.
It's rather like saying, "let's teach our children abstract theories of existence before they have any real experience of having lived and reflected on those experiences"
you could also call Euclidean geometry non-hyperbolic geometry and say the same thing. assuming Euclidean geometry is the intrinsic structure of the physical world, and that any other geometry is "only an abstract theory" is exactly the mistake corrected in Greenberg's book.
you could also call Euclidean geometry non-hyperbolic Geometry and say the same thing. the idea that Euclidean geometry is the intrinsic structure of physical space, and that any other geometry is "only an abstract theory" is exactly the kind of mistake corrected in Greenberg's book.
am i the only one who feels like this guy doesn't really have a legitimate background? i think he just reads up on stuff on the internet and studies it before he decides to make a video because i was watching some of his "science" videos and he said he was an undergraduate physics student. now he's a damn lawyer? what the hell. idk but i think this guy is playing a lot of ppl.
Not only that, but I was a professional musician (violinist) and have played on stage with Sammy David, Jr., Andy Williams, Perry Como, Dinah Shore and maybe a few others I can't think of.
Plus I now work as a database troubleshooter for one of the largest software companies in the world.
@gorilla55215 That's not out of the question. People used to learn things through private study and observation and then make conjectures and theories based on their knowledge and experience way back in the day. There's nothing wrong with bypassing the university if you know how to find legit info.
As a side-note, I could have gotten 2 undergrads in chem and comp-eng in 6 yrs, and it wouldnt be hard for me to go back to school for more. This guy could be telling the truth.
@gorilla55215 You've never heard of a polymath? Some people enjoy learning and doing stuff more than maximizing their income by sticking with one thing and just milking it until they drop dead.
Start teaching children numbers without the concept of '10'...teach it as an energy shift or step. The number 'one' originating from fullness (0) and the number 'nine' recursing into fullness (0).
Benefits - Tends to link musical, mathematical and wave theory more clearly. Takes away the stigma of 'very big numbers', as the only real numbers are 1-9...in various phases of strength or weakness
The Vedic forms, if taught from an early age, are supportive of a broader conception of reality.
"The nightmare corpse-city of R'lyeh ... was built in measureless eons behind history by the vast, loathsome shapes that seeped down from the dark stars. There lay great Cthulhu and his hordes, hidden in green slimy vaults . . . until the end"
At first I thought you were referring to Cartesian geometry, as opposed to Euclidean. It actually took a while for me to realize you are referring to hyperbolic, spherical, multi-dimensional, etcetera, etcetera...
Your comment on the stupidity of the guy who asked the survey question in 9th grade. Stupid or genius? Indeed.
I agree. I hadnt really thought of it before in that way, but your bit on teaching intellectually at a young age so that concepts are intuitive later in life is both interesting and insightful... and we really should teach more sooner.
I feel as though too much is omitted or "danced around" in elementary schools. Recess and coloring books until the fifth grade. Stunting intellect and nurturing stupidity.
Mimsy Were the Borogoves is a science fiction short story by Lewis Padgett (Henry Kuttner and C. L. Moore) that was originally published in the February 1943 issue of Astounding Science Fiction Magazine. [1] In 2007 it was adapted into a feature-length film titled The Last Mimzy.
That's a fascinating question you ask, about whether there's anything we can do to teach children to understand non-Euclidean geometries intuitively.
I think there is. Children can grow up speaking two languages natively if they're exposed to both -- it seems that they should be able to learn multiple mathematical "languages" as well.
As for how this might be done, exactly, I haven't the faintest idea. It might be difficult to convince parents that we ought to cut into the lessons on letters and numbers and colors to teach their children skills that might only be useful on the off-chance they become physicists.
Or would a gut feel for spherical geometry come in handy elsewhere? Hmmm.
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Ph'nglui mglw'nafh Cthulhu R'lyeh wgah'nagl fhtagn
studiomilam 2 months ago
We "teach" both spherical geometry and topology in preschool. It's not hard, nor is it really something new. Kids experience both every day. All that's missing is someone to put their experiences into the right terms, i.e. a ball is a ball because it's a sphere. If we take the air out of the ball, is it still a ball? can it do the things a ball does? It's still topologically equivalent to the spherical ball, but yet it's somehow changed. Suddenly you're not teaching maths any more but philosophy
brukernavn1 10 months ago
I turned it off after 2:30.
I didn't need to hear this guys life story.
ARGYAmphetamine 10 months ago
string theory.
FallofDarkness55 1 year ago
no its not in china they are teaching us non euclidean in 9th grade
GreatCommunistEmpire 1 year ago
@GreatCommunistEmpire
Ohh well we will just invade your country to spread democracy and Zionist propaganda like "When Harry Met Sally"
Grim4566 1 year ago
@Grim4566 who is harry and who is sally?
GreatCommunistEmpire 1 year ago
@GreatCommunistEmpire
Ohh that's right you don't get to watch TV in communist China in communist China TV watches you.
Obviously Harry refers to Harry Houdini - Greatest Welsh Born Film Director
Obviously Sally refers to Sally Jessy Raphael - greatest person to fight of the communists in cold war Russia circa 1985 when America invaded Pingluo, Communist China, to destroy the massive opium trade that was ripping apart cities across the globe. It was a treacherous task.
Grim4566 1 year ago
Euclidean Geometry is based on unproven A Priori Axioms and is premised on a faulty assumption that the shape of the Universe is Flat.
AnonymousWhitePerson 2 years ago
@AnonymousWhitePerson "Euclidean Geometry is based on unproven A Priori Axioms"... so is Riemannian geometry; it's just that the fifth postulate of Riemannian is the negation of Euclid's fifth postulate. You know, the one with the parallels?
"and is premised on a faulty assumption that the shape of the Universe is Flat" It's premised on the assumption of a non-changing curvature. If you want to sound educated, at least use the proper lingo.
StrikaAmaru 1 year ago
Euclidean Geometry is an Utter Fallacy.
It is a complete Farce which was summarily destroyed by Bernard Riemann in his 1799 habilitation discourse, Über die Hypothesen, welche der Geometrie zu Grunde liegen.
AnonymousWhitePerson 2 years ago
@AnonymousWhitePerson Correct me if I'm wrong, but Riemann's geometry started out as a thought experiment: what happens if the fifth postulate is turned on its head? The answer: an entirely different, entirely consistent geometry. It wasn't until Einstein's relativity that we demonstrated space is on the large scale not-flat and the geometry of the Universe is Riemannian.
BUT on the local, small scale region, Euclidean geometry works just fine.
StrikaAmaru 1 year ago
Thank you for this video.
I don't know the story you hint at, but I have read one along those lines which is quite famous:
—And He Built a Crooked House—, by Robert A. Heinlein.
It's article in Wikipedia contains a link to the full story.
Hope you enjoy it!
amoxtlacatl 2 years ago
I heard a story once on Bernard Reimann, and they said he hated Euclidean Geometry in that it wasn't real math or something along those lines. I recently bought a Euclidean Math book and I dont' like very much. I'm still doing it though slowy, very slowly. I hate 'doing' proofs.
glowingdarkmatter25 2 years ago
How can you teach a "non" without a concept of the true?
Euclidean Geometry is beautifully logical, impeccably linear.
It's rather like saying, "let's teach our children abstract theories of existence before they have any real experience of having lived and reflected on those experiences"
swaineadeney 2 years ago 3
I think I pretty much agree with you.
DarwinsHamster 2 years ago
This comment has received too many negative votes show
i would agree with you...if i were a douchebag.
crayzbus 2 years ago
good point
Rory99M 2 years ago
you could also call Euclidean geometry non-hyperbolic geometry and say the same thing. assuming Euclidean geometry is the intrinsic structure of the physical world, and that any other geometry is "only an abstract theory" is exactly the mistake corrected in Greenberg's book.
GenghisTaam 1 year ago
you could also call Euclidean geometry non-hyperbolic Geometry and say the same thing. the idea that Euclidean geometry is the intrinsic structure of physical space, and that any other geometry is "only an abstract theory" is exactly the kind of mistake corrected in Greenberg's book.
GenghisTaam 1 year ago
nah not really
gorilla55215 2 years ago
am i the only one who feels like this guy doesn't really have a legitimate background? i think he just reads up on stuff on the internet and studies it before he decides to make a video because i was watching some of his "science" videos and he said he was an undergraduate physics student. now he's a damn lawyer? what the hell. idk but i think this guy is playing a lot of ppl.
gorilla55215 2 years ago
Not only that, but I was a professional musician (violinist) and have played on stage with Sammy David, Jr., Andy Williams, Perry Como, Dinah Shore and maybe a few others I can't think of.
Plus I now work as a database troubleshooter for one of the largest software companies in the world.
Kind of makes your head spin, doesn't it?
DarwinsHamster 2 years ago 5
@gorilla55215 That's not out of the question. People used to learn things through private study and observation and then make conjectures and theories based on their knowledge and experience way back in the day. There's nothing wrong with bypassing the university if you know how to find legit info.
As a side-note, I could have gotten 2 undergrads in chem and comp-eng in 6 yrs, and it wouldnt be hard for me to go back to school for more. This guy could be telling the truth.
EverythingZen14 1 year ago
@gorilla55215 You've never heard of a polymath? Some people enjoy learning and doing stuff more than maximizing their income by sticking with one thing and just milking it until they drop dead.
ix8880 10 months ago
Start teaching children numbers without the concept of '10'...teach it as an energy shift or step. The number 'one' originating from fullness (0) and the number 'nine' recursing into fullness (0).
Benefits - Tends to link musical, mathematical and wave theory more clearly. Takes away the stigma of 'very big numbers', as the only real numbers are 1-9...in various phases of strength or weakness
The Vedic forms, if taught from an early age, are supportive of a broader conception of reality.
abbesieyes 3 years ago
dude you think your a kiss ass lecturer but your past it you old dropout fag!!!
HECTORtorrez 3 years ago
I think it's a good idea to teach noneuclidean kids at a young age. I will try to remember that when I raise kids.
leitermann 3 years ago
"The nightmare corpse-city of R'lyeh ... was built in measureless eons behind history by the vast, loathsome shapes that seeped down from the dark stars. There lay great Cthulhu and his hordes, hidden in green slimy vaults . . . until the end"
"Ph'nglui mglw'nafh Cthulhu R'lyeh wgah'nagl fhtagn"
Jiraiya18x 3 years ago 2
Fhtagn! The stars may be right with the spread of education on the non-Euclidian geometry. ^^
Azufox 3 years ago
At first I thought you were referring to Cartesian geometry, as opposed to Euclidean. It actually took a while for me to realize you are referring to hyperbolic, spherical, multi-dimensional, etcetera, etcetera...
Your comment on the stupidity of the guy who asked the survey question in 9th grade. Stupid or genius? Indeed.
CogitoErgoCogitoSum 3 years ago
I agree. I hadnt really thought of it before in that way, but your bit on teaching intellectually at a young age so that concepts are intuitive later in life is both interesting and insightful... and we really should teach more sooner.
I feel as though too much is omitted or "danced around" in elementary schools. Recess and coloring books until the fifth grade. Stunting intellect and nurturing stupidity.
CogitoErgoCogitoSum 3 years ago
Mimsy Were the Borogoves is a science fiction short story by Lewis Padgett (Henry Kuttner and C. L. Moore) that was originally published in the February 1943 issue of Astounding Science Fiction Magazine. [1] In 2007 it was adapted into a feature-length film titled The Last Mimzy.
JRVisualsTube 4 years ago
That's a fascinating question you ask, about whether there's anything we can do to teach children to understand non-Euclidean geometries intuitively.
I think there is. Children can grow up speaking two languages natively if they're exposed to both -- it seems that they should be able to learn multiple mathematical "languages" as well.
Prepoceros 5 years ago
As for how this might be done, exactly, I haven't the faintest idea. It might be difficult to convince parents that we ought to cut into the lessons on letters and numbers and colors to teach their children skills that might only be useful on the off-chance they become physicists.
Or would a gut feel for spherical geometry come in handy elsewhere? Hmmm.
Prepoceros 5 years ago
Looking forward to the rest of the series, btw. =)
Prepoceros 5 years ago
Thank you. Please jump in in whatever manner you please with clarifications and corrections.
DarwinsHamster 5 years ago
Oh, I'm not any sort of "authority" on this, only an eager student. But I'm sure I'll enjoy participating in the discussion.
Prepoceros 5 years ago