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Hidden 10 yrs ago Post by Extra
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<Snipped quote by whizzball1>

No.

<Snipped quote by Extra>

Probably as a joke.


Yeah.

<Snipped quote by Legend>

Merg.

<Snipped quote by Extra>

acully iz jurkab.


Nu.
Hidden 10 yrs ago Post by Multifarious
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<Snipped quote by Etcetera>

Yeah.

<Snipped quote by Multifarious>

Nu.


Ye
Hidden 10 yrs ago Post by whizzball1
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<Snipped quote by whizzball1>

Because they would totally know. Regardless, nobody likes proof. They're just so much writing.


Well this one was more of a "take the information we know is true, do maths to it, and arrive at the equation we want to prove."
Hidden 10 yrs ago Post by Etcetera
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Etcetera David Dynamo

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<Snipped quote by Etcetera>

Yeah.

<Snipped quote by Multifarious>

Nu.


It's too bad you can't use that anymore.

<Snipped quote by Etcetera>

Well this one was more of a "take the information we know is true, do maths to it, and arrive at the equation we want to prove."


There's a very specific formula in school.
Hidden 10 yrs ago Post by Extra
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<Snipped quote by Extra>

Ye


Nuuuuu

<Snipped quote by Extra>

It's too bad you can't use that anymore.

<Snipped quote by whizzball1>

There's a very specific formula in school.


Yeah.
Hidden 10 yrs ago Post by Etcetera
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Etcetera David Dynamo

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<Snipped quote by Multifarious>

Nuuuuu

<Snipped quote by Etcetera>

Yeah.


Out of words.
Hidden 10 yrs ago Post by Extra
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<Snipped quote by Extra>

Out of words.


yee
Hidden 10 yrs ago Post by Multifarious
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I am overly excited about Halo 5. I'm analyzing the trailers over and over and the more I notice, the more excited I get.
Hidden 10 yrs ago Post by whizzball1
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<Snipped quote by Extra>

It's too bad you can't use that anymore.

<Snipped quote by whizzball1>

There's a very specific formula in school.


That's silly. Proofs are supposed to be creative, not follow a predefined path.
Hidden 10 yrs ago Post by Extra
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Bloodborne = Enraging Amazingness.
Hidden 10 yrs ago Post by Etcetera
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Etcetera David Dynamo

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<Snipped quote by Etcetera>

That's silly. Proofs are supposed to be creative, not follow a predefined path.


Not according to math society. Creativity has no place in it.

Bloodborne = Enraging Amazingness.


Ew, console.
Hidden 10 yrs ago Post by whizzball1
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<Snipped quote by whizzball1>

Not according to math society. Creativity has no place in it.

<Snipped quote by Extra>

Ew, console.


According to my maths book, most of what comes after calculus is all about creativity, and not rigorous standards. It says that the greatest proofs were most creative, and many maths concepts came from people bucking the predefined trend and making stuff up. Then again, the person who made up the irrational (notice, they're called irrational) numbers was killed by the Pythagoreans for figuring it out, and the imaginary numbers were, well, called imaginary even after they were accepted.

*high five*
Hidden 10 yrs ago Post by Etcetera
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Etcetera David Dynamo

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<Snipped quote by Etcetera>

According to my maths book, most of what comes after calculus is all about creativity, and not rigorous standards. It says that the greatest proofs were most creative, and many maths concepts came from people bucking the predefined trend and making stuff up. Then again, the person who made up the irrational (notice, they're called irrational) numbers was killed by the Pythagoreans for figuring it out, and the imaginary numbers were, well, called imaginary even after they were accepted.

*high five*


To your second example, it's because said numbers don't exist.
Hidden 10 yrs ago Post by whizzball1
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<Snipped quote by whizzball1>

To your second example, it's because said numbers don't exist.


"Many other mathematicians were slow to adopt the use of imaginary numbers, including René Descartes, who wrote about them in his La Géométrie, where the term imaginary was used and meant to be derogatory."

They don't exist in real life, but in the realm of mathematics, they exist just as much as anything infinite or negative or irrational does. Negative numbers don't exist in real life. You can't have less than nothing. You can't have an irrational number of anything.
Hidden 10 yrs ago Post by Etcetera
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Etcetera David Dynamo

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<Snipped quote by Etcetera>

"Many other mathematicians were slow to adopt the use of imaginary numbers, including René Descartes, who wrote about them in his La Géométrie, where the term imaginary was used and meant to be derogatory."

They don't exist in real life, but in the realm of mathematics, they exist just as much as anything infinite or negative or irrational does. Negative numbers don't exist in real life. You can't have less than nothing. You can't have an irrational number of anything.


I actually have to disagree with you, there.
Hidden 10 yrs ago Post by whizzball1
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<Snipped quote by Etcetera>

"Many other mathematicians were slow to adopt the use of imaginary numbers, including René Descartes, who wrote about them in his La Géométrie, where the term imaginary was used and meant to be derogatory."

They don't exist in real life, but in the realm of mathematics, they exist just as much as anything infinite or negative or irrational does. Negative numbers don't exist in real life. You can't have less than nothing. You can't have an irrational number of anything.


Just to top it off, 0 is both real and imaginary.
Hidden 10 yrs ago Post by whizzball1
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<Snipped quote by whizzball1>

I actually have to disagree with you, there.


Oh? I mean, either way, if 0 is an imaginary number, the imaginary numbers aren't called imaginary numbers because they don't exist.
Hidden 10 yrs ago Post by Etcetera
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<Snipped quote by whizzball1>

Just to top it off, 0 is both real and imaginary.


You shouldn't make such final statements about concepts that aren't quite true, or are argued to be false.

<Snipped quote by Etcetera>

Oh? I mean, either way, if 0 is an imaginary number, the imaginary numbers aren't called imaginary numbers because they don't exist.


As a concept, imaginary numbers don't exist. In the world, numbers are meant to represent something. Negatives are useful, irrationals are useful, positive integers are useful, but imaginary numbers do not exist in any recess of our world.
Hidden 10 yrs ago 10 yrs ago Post by whizzball1
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<Snipped quote by whizzball1>

You shouldn't make such final statements about concepts that aren't quite true, or are argued to be false.

<Snipped quote by whizzball1>

As a concept, imaginary numbers don't exist. In the world, numbers are meant to represent something. Negatives are useful, irrationals are useful, positive integers are useful, but imaginary numbers do not exist in any recess of our world.


It's probably called that just because it's at the intersection of the two number lines.

Then we're disagreeing because we're talking about different definitions of "existence". You're talking about existence when it comes to usefulness in the real world, but I'm talking about existence as "it's actually a thing that we use in mathematics for stuff".

Wait, after a bit of research, it looks like we do use imaginary numbers in the real world.
"There is, for example, a differential equation, with coefficients like the a, b, and c in the quadratic formula, that models how electrical circuits or forced spring/damper systems behave. The movement of the shock absorber of a car as it goes over a bump is an example of the latter. The behavior of the differential equations depends upon whether the roots of a certain quadratic are complex or real. If they are complex, then certain behaviors can be expected. These are often just the solutions that one wants."

And then of course, there are countless physicists who seriously consider and actively look for particles that move faster than light--and according to Einstein's equation for mass relative to the speed of light, the mass of those particles is imaginary.

EDIT: As an interesting note, the real numbers are only called the real numbers because the imaginary numbers are called imaginary.
Hidden 10 yrs ago Post by Etcetera
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Etcetera David Dynamo

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<Snipped quote by Etcetera>

It's probably called that just because it's at the intersection of the two number lines.

Then we're disagreeing because we're talking about different definitions of "existence". You're talking about existence when it comes to usefulness in the real world, but I'm talking about existence as "it's actually a thing that we use in mathematics for stuff".

Wait, after a bit of research, it looks like we do use imaginary numbers in the real world.
"There is, for example, a differential equation, with coefficients like the a, b, and c in the quadratic formula, that models how electrical circuits or forced spring/damper systems behave. The movement of the shock absorber of a car as it goes over a bump is an example of the latter. The behavior of the differential equations depends upon whether the roots of a certain quadratic are complex or real. If they are complex, then certain behaviors can be expected. These are often just the solutions that one wants."

And then of course, there are countless physicists who seriously consider and actively look for particles that move faster than light--and according to Einstein's equation for mass relative to the speed of light, the mass of those particles is imaginary.

EDIT: As an interesting note, the real numbers are only called the real numbers because the imaginary numbers are called imaginary.


*Sighs*
I never said that we don't use them. I said that they have no real world counterparts.
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