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  #1  
Old February 10, 2009, 09:26 PM
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Default Let's discuss mathematics.

According to Banach-Tarski paradox, you can take a ball, split it up and then from those broken parts create two balls of exact volume! So does it "prove" that Jesus actually did produce limitless loaves of bread or that when shamans perform a miracle, there are some credibility to it, because after all mathematically the logic is sound?

More on Banach-Tarski paradox:

http://en.wikipedia.org/wiki/Banach%...Tarski_paradox
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  #2  
Old February 10, 2009, 10:16 PM
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the key word here is volume. Two balls may have volumes of the original but @ molecular level matter is remained same. So a bread can be split into infinity but it can not feed FULLY infinite number of people. Because if it did, then jesus would have disapproved a LAW (thermodynamics law), while proving a theorem or vice versa.
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  #3  
Old February 10, 2009, 10:33 PM
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Quote:
Originally Posted by Orpheus
the key word here is volume. Two balls may have volumes of the original but @ molecular level matter is remained same. So a bread can be split into infinity but it can not feed FULLY infinite number of people. Because if it did, then jesus would have disapproved a LAW (thermodynamics law), while proving a theorem or vice versa.
Erroneous. Let's assume that the original ball is made purely of iron, with a mass of 1 kg. The atomic mass of iron is 55.845 g/mole. That gives us 1000/55.845 = 17.907 moles of Fe = 17.907 * 6.022 * 10^23 = 1.078 * 10^25 atoms (the smallest unit of matter) of Fe, which is hardly infinite.

Similarly, an average mass of bread would hardly contain an infinite number of molecules; and since deriving the number of particles in a mass of bread isn't computationally infeasible, there really is no question of having to feed a population sized infinitely.
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  #4  
Old February 10, 2009, 10:43 PM
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atoms can further split. Mathematically, anything can be split infinitely... only thing that makes it finite is human capability.
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  #5  
Old February 10, 2009, 10:50 PM
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Quote:
Originally Posted by Orpheus
atoms can further split. Mathematically, anything can be split infinitely... only thing that makes it finite is human capability.
what's at the core of string?
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  #6  
Old February 10, 2009, 10:58 PM
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Quote:
Originally Posted by Gopal Bhar
what's at the core of string?
God until proven otherwise.
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  #7  
Old February 10, 2009, 11:03 PM
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Is God infinite or finite or both?
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  #8  
Old February 10, 2009, 11:04 PM
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Quote:
Originally Posted by Gopal Bhar
Is God infinite or finite or both?
D) All of the above.
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  #9  
Old February 10, 2009, 11:08 PM
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^
if {God=Information=Consciousness=Reality}, then it does prove the Banach-Tarski lemma.
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  #10  
Old February 11, 2009, 01:50 AM
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You Nerds!! LOL
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  #11  
Old February 11, 2009, 01:57 AM
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Quote:
Originally Posted by antora93
You Nerds!! LOL
The correct internet term is "tool" (w00t w00t)
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Last edited by Zeeshan; February 11, 2009 at 02:05 AM..
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  #12  
Old February 11, 2009, 02:26 AM
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prove 1+1=2

Yes, there is a proof. Most undergrads should know this.
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  #13  
Old February 11, 2009, 02:28 AM
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how about i disprove it.

1+1!=2

1 drop of water + 1 drop of water = 1 drop of water
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  #14  
Old February 11, 2009, 03:33 AM
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There is way where you can prove that that any two sides of an equation equals each other. Simply multiply both side by zero and 0 = 0. QED.
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  #15  
Old February 11, 2009, 04:16 AM
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Quote:
Originally Posted by Orpheus
God until proven otherwise.
Vision comprehendeth him not but he comprehendeth all vision- al-quran
anyways, i wish not to talk about "God" in this thread because let's not attempt to go beyond what we cannot even see! (beyond our senses)

on a serious note: i have a challenging problem for you guys: let's see if you figure it out

prove that square root of 7 is irrational
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  #16  
Old February 11, 2009, 11:25 AM
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Quote:
Originally Posted by rifat
Vision comprehendeth him not but he comprehendeth all vision- al-quran
anyways, i wish not to talk about "God" in this thread because let's not attempt to go beyond what we cannot even see! (beyond our senses)

on a serious note: i have a challenging problem for you guys: let's see if you figure it out

prove that square root of 7 is irrational
if that's your logic, why then talk about God at all?
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  #17  
Old February 11, 2009, 11:34 AM
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Quiz time.........
when 1+1 is equal 3? winner will get a bottole of Champaign
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  #18  
Old February 11, 2009, 12:01 PM
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Quote:
Originally Posted by Alien
There is way where you can prove that that any two sides of an equation equals each other. Simply multiply both side by zero and 0 = 0. QED.
"Multiply"ing is an operation.

wikipedia:

"Operations can involve mathematical objects other than numbers. The logical values true and false can be combined using logic operations, such as and, or, and not...."

which begs the question: Define "true" and "false".

paradoxical statement such as: Can you not not read this statement?

yields both values....

This leads us to metamaths.
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  #19  
Old February 11, 2009, 12:03 PM
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what is
64.1+-11.5
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  #20  
Old February 11, 2009, 12:06 PM
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Quote:
Originally Posted by mijanur
what is
64.1+-11.5
Do your own homework.
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  #21  
Old February 11, 2009, 01:30 PM
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Quote:
Originally Posted by Alien
There is way where you can prove that that any two sides of an equation equals each other. Simply multiply both side by zero and 0 = 0. QED.
Note my sig
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  #22  
Old February 11, 2009, 01:44 PM
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Anyone watched the movie Pi by Darren Arnofsky? It deals with mathematical prediction of stock market (Orphy would take delight in it) and Turing's Halting Problem of computer being self-aware.
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  #23  
Old February 11, 2009, 03:15 PM
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Quote:
Originally Posted by Gopal Bhar
how about i disprove it.

1+1!=2

1 drop of water + 1 drop of water = 1 drop of water
Old logic:
Chagol er dari ache,
Robindranath ero dari ache,
Robindranath = Chagol

New logic:
Gopal er buri ache,
Avatar (gopal er) ero buri ache,
Gopal = Avatar
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  #24  
Old February 11, 2009, 03:21 PM
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Quote:
Originally Posted by Peace
Old logic:
Chagol er dari ache,
Robindranath ero dari ache,
Robindranath = Chagol

New logic:
Gopal er buri ache,
Avatar (gopal er) ero buri ache,
Gopal = Avatar
Now we are delving into semantics and philosophy.

Robindranath CAN be a Chagol depending on perception of reality. If Reality is constructed out of clay, then topologically Robindranath is homeomorphic to Chagol.

Snakes or goldfish's reality is not same as ours(humans) or dogs. Dogs perceive the world in black and white and goldfish can see the laser beam of remote.

So it's all matter of relativity...
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  #25  
Old February 11, 2009, 04:02 PM
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Quote:
Originally Posted by CholCholBD
prove 1+1=2

Yes, there is a proof. Most undergrads should know this.
Most undergrad who took Abstruct Algebra should know this. 1=2. Now that is really something isn't it? We can derive 2=3, so on so forth.

Proof:
Step 1: -1/1 = 1/-1
Step 2: Taking the square root of both sides:
Step 3: Simplifying:
Step 4: In other words, i/1 = 1/i.
Step 5: Therefore, i / 2 = 1 / (2i),
Step 6: i/2 + 3/(2i) = 1/(2i) + 3/(2i),
Step 7: i (i/2 + 3/(2i) ) = i ( 1/(2i) + 3/(2i) ),
Step 8: ,
Step 9: (-1)/2 + 3/2 = 1/2 + 3/2,
Step 10: and this shows that 1=2.
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