It is not blasphemy, it is in fact very useful. All mathematics essentially boils down to a measurement. The usefulness of a measure is only as good as its accuracy and precision. In our minds we can be as precise as we like--hence infinite precision turns approximations into equalities in calculus.
Is infinite precision physically possible? Doubtful. But if our methods are tailored to be infinitely precise, then our measurements are only limited by our technology--not our methodology.
if the team doesn't win any games then there is no data to draw a set from.
if the fans cheer for one day, another time three days, another six, then the set of possible outcomes is {1,3,6}. It is possible for them to win a game and not cheer for any days, maybe if Godzilla strikes and they get distracted; therefore {0,1,3,6}. Should they do not win a game, there is no data to draw from.
They must win a game for there to exist a set containing zero, else you commit an existential fallacy.
you need to curve the line segment because the fractals need to be within the bounds of the infinite divisional fragments in order to maintain the subset to which it's infinite components belong in linear terms. For non-linear subsets the curve would follow the percentage absolute integers within each subset.
36:35 Why do you need to curve the line segment? Does this also mean there can never be a way to express Aleph-0 in terms of c? How do fractals relate to infinity?
in theory how does percentage translate into infinity? example: in an infinite world, infinity monkeys given typewriters would write the complete works of Shakespeare. They would do this infinitely times perfectly, but what percentage of the time would they even be typing? although the question is obscure i have wondered if there is a formula for such calculations... forget monkeys, just maths, is there any possible correlation between something as 'solid' as maths and 'obscure' as infinity?
Delightful video dealing with the BIGGEST topic. Infinity is clearly a BIG DEAL, but it is often challenging to communicate it's relevance to math students. I think infinity has plenty of emotional content. It's pretty down scary, but it's also exciting. THANKS for helping to make it clear that there are many KINDS of infinities.
I think he mixed up Turing with Godel. Turing was the one who showed the universality of undecidability. Godel was involved in the incompleteness of arithmetic. Neverless they both played a huge role.
It seems to me that you cannot fill the Infinity Hotel. You can begin filling it up but it will never be full. There will always be an infinite no. of empty rooms and an infinite queue of players. I'm not talking about logistics here. Infinity is a process. You can't apply a finite (full up) to an infinite. There is no Nth player & no Nth room. In the same way, to talk in terms of sets of infinity is a conceptual nonsense.
there is infinite sets between two different infinite sets and there are at the same time infinite sets that restrict the infinite sets between the infinite sets. Picture a circle draw some radi, there are infinite. now draw a bigger circle around the other one and extend the radi through the original circle to the perimeter of the bigger one. since the bigger circle is bigger and the lines are diverging in different directions there will be an infinite space that cannot be filled by the lines.
Some of the lectures value is lost due to the screen not being able to be seen well and the questions and comments from the audience are inaudible. I wish he'd talked about all the infinities, including the aleph 2 sets.
I don't know what I was tryong to say with that comment. I think vid and information is excellent and I didn't mean that there is an error in anything. Maybe I found somethng funny, but by no means was I trying to insult anything he said, but yes, it seems pretty clear that I am stupid. I see that my 172 IQ doesn't mean anything. I honestly don't know how I ended up with 2 PhD's (civics and economics) and ended up openning three schools.
the comment below partly is a shallow sight of things, however I feel Infinity is infinity. you cant extract a group from the number line and then call it infinity, everything, complex, natural is infinity. EVERYTHING, it is only a trick to try and add and subtract infinity's nothing more, Infinity is never ending everything, dont try to tame it
Infinity is infinity. Non measurable. Neverending. We use numbers to determine and measure something within our senses and reach. We cannot measure beyond our five sense limits mostly our physical perception aka sight. We cannot see atoms or the largest star or the center of the Milky Way be it a black hole or cluster of stars. There is no evidence of expansion but who knows. We only integers, sets, matrix, etc. to determine what's within view or current technological view i.e. microscopes. etc.
The fact that your comment has a rating of -4 when I saw it, tells me exactly how STUPID the majority is. I like your comment. I guess people are just incapable of understanding SUCH REDICULOUSLY SIMPLE CONCEPTS!
I Imagine infinite sets. However 0 is a set in it's self. absolute zero the set is 0-9 cyclic repeating infinitly. Alpha a set in it's self. Alpha 0 another set. alpha 1 another set and so on Alpha 2, 3, 4, 5, 6, 7, 8, 9, Beta yes a set to it's own. beta and beta 0-9. I envision yet another set Alpha Beta 0-9 and so on.
25:00 and negative fractions?
aandgpointlessvideos 3 weeks ago
Rational?
katheryncruz24 3 months ago
This has been flagged as spam show
Interesting video! I am an artist on YouTube trying to promote my theory on the dynamics of light and time
This theory is based on just two simple postulates
1. The first is that the quantum wave particle function explained by Schrödinger’s wave equation represents the forward passage of time itself
2. The second is that Heisenberg’s Uncertainty Principle that is formed by the wave function is the same uncertainty we have with any future event
nickharvey7 8 months ago
in my opinion infinity cannot be counted, therefore there is no such thing as different sizes of it, the whole idea is useless, thank you
hel257 9 months ago
@hel257 You're very wrong
phoskins 1 month ago
@phoskins no im not, this way of thinking is just blastphemy
hel257 1 month ago
@hel257
It is not blasphemy, it is in fact very useful. All mathematics essentially boils down to a measurement. The usefulness of a measure is only as good as its accuracy and precision. In our minds we can be as precise as we like--hence infinite precision turns approximations into equalities in calculus.
Is infinite precision physically possible? Doubtful. But if our methods are tailored to be infinitely precise, then our measurements are only limited by our technology--not our methodology.
phoskins 1 day ago
wouldn't this mean pi is rational? couldn't it be expressed as c/d
TheDanielRagsdale 11 months ago
dont fractions get closer and closer to irational numbers the closer you get to infinity?
Typho0n86 1 year ago
if the team doesn't win any games then there is no data to draw a set from.
if the fans cheer for one day, another time three days, another six, then the set of possible outcomes is {1,3,6}. It is possible for them to win a game and not cheer for any days, maybe if Godzilla strikes and they get distracted; therefore {0,1,3,6}. Should they do not win a game, there is no data to draw from.
They must win a game for there to exist a set containing zero, else you commit an existential fallacy.
VividVelvet 1 year ago
Comment removed
VividVelvet 1 year ago
isn't his empty set joke incorrect? if the number of days is 0, then the set does have a member, 0, and is not empty. (it would be {0})
rdkpickle 1 year ago
you need to curve the line segment because the fractals need to be within the bounds of the infinite divisional fragments in order to maintain the subset to which it's infinite components belong in linear terms. For non-linear subsets the curve would follow the percentage absolute integers within each subset.
scrotuminfection 1 year ago
36:35 Why do you need to curve the line segment? Does this also mean there can never be a way to express Aleph-0 in terms of c? How do fractals relate to infinity?
ananiasacts 1 year ago
in theory how does percentage translate into infinity? example: in an infinite world, infinity monkeys given typewriters would write the complete works of Shakespeare. They would do this infinitely times perfectly, but what percentage of the time would they even be typing? although the question is obscure i have wondered if there is a formula for such calculations... forget monkeys, just maths, is there any possible correlation between something as 'solid' as maths and 'obscure' as infinity?
gobacktorussia 1 year ago
Delightful video dealing with the BIGGEST topic. Infinity is clearly a BIG DEAL, but it is often challenging to communicate it's relevance to math students. I think infinity has plenty of emotional content. It's pretty down scary, but it's also exciting. THANKS for helping to make it clear that there are many KINDS of infinities.
lexinaut 1 year ago
I think he mixed up Turing with Godel. Turing was the one who showed the universality of undecidability. Godel was involved in the incompleteness of arithmetic. Neverless they both played a huge role.
Entertainmentwf 1 year ago
It seems to me that you cannot fill the Infinity Hotel. You can begin filling it up but it will never be full. There will always be an infinite no. of empty rooms and an infinite queue of players. I'm not talking about logistics here. Infinity is a process. You can't apply a finite (full up) to an infinite. There is no Nth player & no Nth room. In the same way, to talk in terms of sets of infinity is a conceptual nonsense.
Penndennis 1 year ago
Infinity +1 is possible, so you know the answer to this statement. ?
rfs001 2 years ago
@rfs001 Infinity + 1 is infinity but that's not very meaningful. Infinity isn't a number like 1 is.
Ch3mG33k 1 year ago
very interesting but also very complex
wow
99waterlife 2 years ago
nu leas sto o t mama mrira en 4 hrs
ernostera 2 years ago
there is infinite sets between two different infinite sets and there are at the same time infinite sets that restrict the infinite sets between the infinite sets. Picture a circle draw some radi, there are infinite. now draw a bigger circle around the other one and extend the radi through the original circle to the perimeter of the bigger one. since the bigger circle is bigger and the lines are diverging in different directions there will be an infinite space that cannot be filled by the lines.
knottyroots420 2 years ago
Some of the lectures value is lost due to the screen not being able to be seen well and the questions and comments from the audience are inaudible. I wish he'd talked about all the infinities, including the aleph 2 sets.
Finocchi0 3 years ago
I wish I could see the power point screen better.
apollosmoon 3 years ago
You think EXCELLENT!!!!!!! It's good to know SOMEONE is thinking!
JusticeLeague9 3 years ago
AHAHAHAHAHAHAHHAHAHAHAHA
"birds can count up to 4. its like one two three four... many" AHAHAHAHAHHAHAH
please tell me someone found that funny.
musiCiSloVe64 3 years ago
Nice video
patrick31031976 3 years ago
if infinity is its common definition, what can NOT happen?
francoisgbergeron 3 years ago
at about 20:00, did he say "he zero is repeating for 2/1?" HA!
JusticeLeague9 3 years ago
are u stupid?
musiCiSloVe64 3 years ago
I don't know what I was tryong to say with that comment. I think vid and information is excellent and I didn't mean that there is an error in anything. Maybe I found somethng funny, but by no means was I trying to insult anything he said, but yes, it seems pretty clear that I am stupid. I see that my 172 IQ doesn't mean anything. I honestly don't know how I ended up with 2 PhD's (civics and economics) and ended up openning three schools.
JusticeLeague9 3 years ago
haha
musiCiSloVe64 3 years ago
the "move one one room over" demonstration is old and not that interesting.
muffemod 3 years ago
the comment below partly is a shallow sight of things, however I feel Infinity is infinity. you cant extract a group from the number line and then call it infinity, everything, complex, natural is infinity. EVERYTHING, it is only a trick to try and add and subtract infinity's nothing more, Infinity is never ending everything, dont try to tame it
Cagebreaker21 3 years ago
Infinity is infinity. Non measurable. Neverending. We use numbers to determine and measure something within our senses and reach. We cannot measure beyond our five sense limits mostly our physical perception aka sight. We cannot see atoms or the largest star or the center of the Milky Way be it a black hole or cluster of stars. There is no evidence of expansion but who knows. We only integers, sets, matrix, etc. to determine what's within view or current technological view i.e. microscopes. etc.
AplG7Rocks 3 years ago
Numbers are relative to the reference point.
You can have something in minus if you had a surplus, or if someone has more.
0,1,........ is still an infinity. You can call "zero" number 3. It is the point from where you
Remember the association. -1 would be -4.
Infinity is a matter of expansion, nothing more, and does not need math to prove it.
iulian28ti 3 years ago
The fact that your comment has a rating of -4 when I saw it, tells me exactly how STUPID the majority is. I like your comment. I guess people are just incapable of understanding SUCH REDICULOUSLY SIMPLE CONCEPTS!
JusticeLeague9 3 years ago
was this and your next comment directed towards me?
musiCiSloVe64 3 years ago
I Imagine infinite sets. However 0 is a set in it's self. absolute zero the set is 0-9 cyclic repeating infinitly. Alpha a set in it's self. Alpha 0 another set. alpha 1 another set and so on Alpha 2, 3, 4, 5, 6, 7, 8, 9, Beta yes a set to it's own. beta and beta 0-9. I envision yet another set Alpha Beta 0-9 and so on.
TLHS 4 years ago
thank for this vid I can learn something...
Fluke30486 4 years ago