OFF TOPIC: Philosophy of maths and other stuff thread

[thushan]

Here's another question:

Here's my answer:

"What about it?"

[BubbleWrapMan]

[Jenny_2108]

Here's another question:

Here's my answer:

"What about it?"

Its not an answer because it contains the question mark

[abeybaby]

TT=true tears, and sorry, forgot climbtoohigh

Also, Yes, it is an equation, but not a question. The equation has absolutely no inherent meaning, no maths ever has inherent meaning, it can only MODEL situations. Like, when you've got a kinematics question, and it's like, when does the ball hit the ground? And you solve, you might get t=-4 or 10. Just because the maths pulls out -4, that doesn't mean it MUST have occurred at t=-4. Because the maths is a tool with absolutely no inherent meaning, only when you apply it to some situation does it have meaning. The why I love it so much, it's knowledge for the sake of it, whereas other disciplines are more grounded in reality.

[Jenny_2108]

^ how do you explain about complex number in the reality?
I just don't know how they can apply it in the real life LOL

[BubbleWrapMan]

Also, Yes, it is an equation, but not a question. The equation has absolutely no inherent meaning, no maths ever has inherent meaning, it can only MODEL situations. Like, when you've got a kinematics question, and it's like, when does the ball hit the ground? And you solve, you might get t=-4 or 10. Just because the maths pulls out -4, that doesn't mean it MUST have occurred at t=-4. Because the maths is a tool with absolutely no inherent meaning, only when you apply it to some situation does it have meaning. The why I love it so much, it's knowledge for the sake of it, whereas other disciplines are more grounded in reality.

This

Also

Its not an answer because it contains the question mark

Then an equation isn't a question because it doesn't contain a question mark

[abeybaby]

^ how do you explain about complex number in the reality?
I just don't know how they can apply it in the real life LOL

When you first learnt to count, all you knew was 1, 2, 3 etc. The number line was unidirectional and discrete. When someone asked, what's 5-8? You were like, THAT'S NOT POSSIBLE. Then you were introduced to negative number - all of a sudden, the number line is bidirectional! Then you learnt that there were smaller numbers in between the other number, fractions. Then you learnt that there were in fact an infinite number of numbers between any two given numbers, and that the number line was in fact, continuous, and not discrete. Now complex numbers.

The number line isn't a line - its a set of axes. You can go left-right (real numbers) and up-down (imaginary).
What's |5|? 5
What's |-5|? 5. Why are they the same? The magnitude is the distance from the origin. It's exactly the same with complex numbers, their magnitude is just the distance from the origin.

Also, I believe complex numbers play a huge role in astronomy, predicting the existence/position of things in space, since it allows entire sets of equation that previously had no solutions to have solutions.

[Jenny_2108]

Then an equation isn't a question because it doesn't contain a question mark

I answered the question 3 which contains the question mark (actually 2 question marks though)

3) Actually being able to explain why in the world it IS a perpendicular bisector
(do this as an excercise if you don't know with this question, and try and reason it through.

HINT HINT: What triangle is being formed between the perp. bisector, and progressive line segments projected from the two points (0,0) and (0,)??

[Elegant_Chaos]

TT=true tears, and sorry, forgot climbtoohigh

Also, Yes, it is an equation, but not a question. The equation has absolutely no inherent meaning, no maths ever has inherent meaning, it can only MODEL situations. Like, when you've got a kinematics question, and it's like, when does the ball hit the ground? And you solve, you might get t=-4 or 10. Just because the maths pulls out -4, that doesn't mean it MUST have occurred at t=-4. Because the maths is a tool with absolutely no inherent meaning, only when you apply it to some situation does it have meaning. The why I love it so much, it's knowledge for the sake of it, whereas other disciplines are more grounded in reality.

This is what I was getting at: good to see a little comment can engender such a response.

Complex numbers mmmm, visualise a number line, like from -3 to 3. Introducing the complex field is like introducing another complete dimension of numbers (at say zero), ie mutually perpendicular to the number line.

Odd little consequence of this is that now the real and imaginary planes are defined. 

Still, this is far far far far too qualititative 

Dammit abes, too fast, too furious. 

[abeybaby]

TT=true tears, and sorry, forgot climbtoohigh

Also, Yes, it is an equation, but not a question. The equation has absolutely no inherent meaning, no maths ever has inherent meaning, it can only MODEL situations. Like, when you've got a kinematics question, and it's like, when does the ball hit the ground? And you solve, you might get t=-4 or 10. Just because the maths pulls out -4, that doesn't mean it MUST have occurred at t=-4. Because the maths is a tool with absolutely no inherent meaning, only when you apply it to some situation does it have meaning. The why I love it so much, it's knowledge for the sake of it, whereas other disciplines are more grounded in reality.

This is what I was getting at: good to see a little comment can engender such a response.

Complex numbers mmmm, visualise a number line, like from -3 to 3. Introducing the complex field is like introducing another complete dimension of numbers (at say zero), ie mutually perpendicular to the number line.

Odd little consequence of this is that now the real and imaginary planes are defined. 

Still, this is far far far far too qualititative 

Dammit abes, too fast, too furious. 

Omg, if you're male, I'm turning gay <3

[BubbleWrapMan]

^Calm down buddy, let him decide for himself

>_>

<_<

[Jenny_2108]

TT=true tears, and sorry, forgot climbtoohigh

Also, Yes, it is an equation, but not a question. The equation has absolutely no inherent meaning, no maths ever has inherent meaning, it can only MODEL situations. Like, when you've got a kinematics question, and it's like, when does the ball hit the ground? And you solve, you might get t=-4 or 10. Just because the maths pulls out -4, that doesn't mean it MUST have occurred at t=-4. Because the maths is a tool with absolutely no inherent meaning, only when you apply it to some situation does it have meaning. The why I love it so much, it's knowledge for the sake of it, whereas other disciplines are more grounded in reality.

This is what I was getting at: good to see a little comment can engender such a response.

Complex numbers mmmm, visualise a number line, like from -3 to 3. Introducing the complex field is like introducing another complete dimension of numbers (at say zero), ie mutually perpendicular to the number line.

Odd little consequence of this is that now the real and imaginary planes are defined. 

Still, this is far far far far too qualititative 

Dammit abes, too fast, too furious. 

why do you cross them out? Its not a competition who is the winner or loser, its just for fun

^ how do you explain about complex number in the reality?
I just don't know how they can apply it in the real life LOL

When you first learnt to count, all you knew was 1, 2, 3 etc. The number line was unidirectional and discrete. When someone asked, what's 5-8? You were like, THAT'S NOT POSSIBLE. Then you were introduced to negative number - all of a sudden, the number line is bidirectional! Then you learnt that there were smaller numbers in between the other number, fractions. Then you learnt that there were in fact an infinite number of numbers between any two given numbers, and that the number line was in fact, continuous, and not discrete. Now complex numbers.

The number line isn't a line - its a set of axes. You can go left-right (real numbers) and up-down (imaginary).
What's |5|? 5
What's |-5|? 5. Why are they the same? The magnitude is the distance from the origin. It's exactly the same with complex numbers, their magnitude is just the distance from the origin.

Also, I believe complex numbers play a huge role in astronomy, predicting the existence/position of things in space, since it allows entire sets of equation that previously had no solutions to have solutions.

you are dealing with the scalar or magnitude. How about imaginary component of complex number? What does it tell us anyway?
Imaginary component doesn't exist in real life, does it?

[BubbleWrapMan]

Real numbers don't exist either.

[paulsterio]

I just don't know how they can apply it in the real life LOL

Well you can model many things with complex numbers, think about things which have two components, AC electricity comes to mind, so does water flowing around a stationary object...etc.

[Elegant_Chaos]

Imaginary component doesn't exist in real life, does it?

What do you mean by real life? Like a tradie? Or a trip to Woolies?