Imaginary numbers? So last century. (1 Viewer)

[Li0n]

this is where philosophy and maths collide

 

[McLake]

More silly maths:
a*0 = 0
no 1/INF = 0
so 0*INF = 1
C!!
Hence maths is broken.

I know it is flawed, but what the hey ...

 

[withoutaface]

Can someone explain to me what Godel's hole in mathematics is?

 

[withoutaface]

kurt godel proved that all logical systems in mathematics contain unprovable statements: http://mathworld.wolfram.com/GoedelsIncompletenessTheorem.html

eg., cantor's continuum hypothesis: http://mathworld.wolfram.com/ContinuumHypothesis.html

Cheers .

 

[Slidey]

More silly maths:
a*0 = 0
no 1/INF = 0
so 0*INF = 1
C!!
Hence maths is broken.

I know it is flawed, but what the hey ...

lim 1/x = 0
x->inf

I hate it when people write "1/inf=0"

 

[mojako]

0 / (Slide Rule) = 0
rearranging, (Slide Rule) = 0 / 0
So (Slide Rule) is undefined??
What can he be then?

 

[McLake]

lim 1/x = 0
x->inf

I hate it when people write "1/inf=0"

Pfff, OK, so it is technically inccorrect to right it that way. My silly point still works however ...

 

[Li0n]

0 / (Slide Rule) = 0
rearranging, (Slide Rule) = 0 / 0
So (Slide Rule) is undefined??
What can he be then?

once again we embark on another philosphical quest

 

[Dumbarse]

so does 0^0 = 1??

 

[Archman]

nup, undefined.

 

[Dumbarse]

proof of undefiness?

i was taught anything to the power of zero is 1

 

[Archman]

0^0 = 0^(1-1) = 0/0 and we've been through that.

 

[coca cola]

You can't prove it, its defined that way.

Chuck it in the calculator if you don't believe.

 

[Dumbarse]

u cant base maths theory on what u plug into a calculator
do u think the magical calculator just knows all,
someone had to program it, hmm... ¿

 

[maniacguy]

You can't prove it, its defined that way.

Chuck it in the calculator if you don't believe.

My calculator reckons that $\pi$ has a finite decimal expansion. But this means that $\pi$ is rational, since multiplying by a sufficiently large power of 10 gives an integer!

I eagerly await my Fields medal.

 

[Rorix]

my caculator sometimes displays 3^2 as 8.9999999999999999999999999999999999

 

[Slidey]

0^0 is undefined by definition.

Er. I know that's like -1 * -1 =1, but... think about it.

0^0 must necessarily be undefined for maths to hold.

 

[Slidey]

3^2 Is 8.9...9........9999....9....

9 is the limit of convergence of the geometric series: 8 + 9/10 + 9/100 + 9/1000 + ...

Or whatever. General idea.

 

[Shuter]

you could just used the old let x = 8.9999
10x = 89.9999
-x
9x=81
x=3

 

[Shuter]

proof of undefiness?

i was taught anything to the power of zero is 1

And you were also taught anything divided by 0 is undefined as arachman shows.

I'll show it for you again.

0^0 = 0^(1-1) = 0^1*(1/0) = (0*1)/0 = 0/0 = undefined.