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Posted

So, I am a freshman in highschool, and I have this theory. But I need someone WHO KNOWS WHAT THEY ARE DOING, to test this for me, or find flaws. Please have an open mind.

 

Okay, so take a pencil. Place it in front of you. Now, divide the pencil in half, divide one of the half's by half, and so on and so on. Do that about 8000mil times. You just keep dividing and dividing. There is NO end to the dividing. You can divide the lines forever. This is (what I believe) the meaning of "Infinity". There is no end, and we can not even began to comprehend it. So take this infinity, and take the odds THAT ARE POSSIBLE. For instance, the odds that you will grow a giant bird wing and fly, is 0/0. Humans can not do that, odds are impossible. Now, take the odds that a bird will dive and hit you on the head. The odds are about 1/100000000000000. But, there IS an odd. If infinity, is forever, than it has all the outcomes of all POSSIBLE odds. So is it possible that, if you keep on dividing the line, (or pencil), sense all the odds get opened up, there could be universes. Is that what our universe is? Just something tiny in something else. And it keeps going, it does not have an end, it does not have a beguining, it is infinity. Forever. All of the possible outcomes come true.

 

Or, if this is also already a theory, (which if it is, I am not aware), please give me the name of it so i can began to study it.

 

 

Thank you!

 

-Matt

 

(sry for any misspells,i dont have alot of time!)

  • 2 weeks later...
Posted

I had to abort the experiment after six divides. No comprehension of infinity set in. You owe me a pencil.

  • 3 weeks later...
Posted

Dividing something that has mass will always have an end. Just like possibilities are limited to the situation. I don't think a duck can grow a rocket on its hind end no matter how long you give it.

Posted

no u will never hit the end

u will get to molekules then atoms the quarks the string then whatever is smaller than that

when u divide by half u will never hit 0

Posted

no u will never hit the end

u will get to molekules then atoms the quarks the string then whatever is smaller than that

when u divide by half u will never hit 0

 

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Posted

here's a video you may find interesting Matthew. It's a BBC documentary which looks at some of the postulates you have posted.

The link below is part 2, I've posted that because it starts with the 'infinitely divided pencil', (In this case it's a ruler) theory which you have. It would be a good starting point for research into the mathematical ideas you're interested in.

 

Enjoy

 

http://youtu.be/wpWXT9yMBnw

  • 5 weeks later...
Posted

So, I am a freshman in highschool, and I have this theory. But I need someone WHO KNOWS WHAT THEY ARE DOING, to test this for me, or find flaws. Please have an open mind.

 

Okay, so take a pencil. Place it in front of you. Now, divide the pencil in half, divide one of the half's by half, and so on and so on. Do that about 8000mil times. You just keep dividing and dividing. There is NO end to the dividing. You can divide the lines forever. This is (what I believe) the meaning of "Infinity". There is no end, and we can not even began to comprehend it. So take this infinity, and take the odds THAT ARE POSSIBLE. For instance, the odds that you will grow a giant bird wing and fly, is 0/0. Humans can not do that, odds are impossible. Now, take the odds that a bird will dive and hit you on the head. The odds are about 1/100000000000000. But, there IS an odd. If infinity, is forever, than it has all the outcomes of all POSSIBLE odds. So is it possible that, if you keep on dividing the line, (or pencil), sense all the odds get opened up, there could be universes. Is that what our universe is? Just something tiny in something else. And it keeps going, it does not have an end, it does not have a beguining, it is infinity. Forever. All of the possible outcomes come true.

 

Or, if this is also already a theory, (which if it is, I am not aware), please give me the name of it so i can began to study it.

 

 

Thank you!

 

-Matt

 

(sry for any misspells,i dont have alot of time!)

 

Your problem is a very old idea and already known since at least ancient Greece.

 

Please take a look at this wiki page on Zeno's Paradoxes:

http://en.wikipedia.org/wiki/Zeno%27s_paradoxes

 

The problem has physical limitations in that you will have to stop dividing when you come to the scale of atoms or molecules.

If you disregard that you will be limited by what can be observed which is at least 10 magnitudes larger than the smallest scale.

Ultimately you will be limited by the smallest scale science currently thinks exists fundamentally, the Planck scale or 1.616252×10−35 m.

More info here:

http://en.wikipedia.org/wiki/Planck_scale

 

If you go even further and disregard all practical and physical limits you will encounter logical problems.

At present the majority of logicians, philosophers and mathematicians regard infinities outside of concepts in math like for example in set theory as impossible.

The distinction needs to be made between conceptual infinities and real infinities.

Real infinities are officially termed actual infinities:

http://en.wikipedia.org/wiki/Actual_infinity

 

All this would not stop you from considering the future as an infinity.

Such infinities however are not actualized yet so they are called a potential infinity.

 

Some people consider God an actual infinity (also called the absolute infinity) while others consider the infinity related attributes of God proof for His non-existence.

 

Some links related to infinity that may be of interest that might keep you busy for a while:

 

http://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel

http://en.wikipedia.org/wiki/Supertask

http://en.wikipedia.org/wiki/Balls_and_vase_problem

http://en.wikipedia.org/wiki/Finitism

http://en.wikipedia.org/wiki/Infinitesimal

http://en.wikipedia.org/wiki/Hyperreal_number

http://en.wikipedia.org/wiki/Surreal_number

http://en.wikipedia.org/wiki/Transfinite

http://en.wikipedia.org/wiki/Galileo%27s_paradox

http://en.wikipedia.org/wiki/Cantor%27s_paradox

http://en.wikipedia.org/wiki/Burali-Forti_paradox

http://en.wikipedia.org/wiki/0.999...

http://en.wikipedia.org/wiki/Aleph_number

http://en.wikipedia.org/wiki/Axiom_of_limitation_of_size

http://en.wikipedia.org/wiki/Dedekind-infinite_set

http://en.wikipedia.org/wiki/Euclid%27s_theorem

http://en.wikipedia.org/wiki/Russell%27s_paradox

http://en.wikipedia.org/wiki/Skolem%27s_paradox

 

 

Note that nature is considered fully consistent. That is the basis of all knowledge.

If a paradox exists it has to be caused by problems in man-made concepts (or axioms in mathematics).

This means paradoxes must be analyzed by trying to find the problem in the definitions or concepts.

The chicken and the egg problem for example is caused by the concept chicken.

The concept chicken is something practical for humans but in nature lifeforms exist in a constantly changing form.

Through many steps of gradual change transitions are made so there never is an exact point where the first chicken appears, the bird just became more and more chicken like.

The paradox appears when we create a concept that sets an artificial boundary called chicken.

 

 

  • 3 weeks later...
Posted

Your problem is a very old idea and already known since at least ancient Greece.

 

Please take a look at this wiki page on Zeno's Paradoxes:

http://en.wikipedia....o%27s_paradoxes

 

The problem has physical limitations in that you will have to stop dividing when you come to the scale of atoms or molecules.

If you disregard that you will be limited by what can be observed which is at least 10 magnitudes larger than the smallest scale.

Ultimately you will be limited by the smallest scale science currently thinks exists fundamentally, the Planck scale or 1.616252×10−35 m.

More info here:

http://en.wikipedia....ki/Planck_scale

 

If you go even further and disregard all practical and physical limits you will encounter logical problems.

At present the majority of logicians, philosophers and mathematicians regard infinities outside of concepts in math like for example in set theory as impossible.

The distinction needs to be made between conceptual infinities and real infinities.

Real infinities are officially termed actual infinities:

http://en.wikipedia....Actual_infinity

 

All this would not stop you from considering the future as an infinity.

Such infinities however are not actualized yet so they are called a potential infinity.

 

Some people consider God an actual infinity (also called the absolute infinity) while others consider the infinity related attributes of God proof for His non-existence.

 

Some links related to infinity that may be of interest that might keep you busy for a while:

 

http://en.wikipedia....the_Grand_Hotel

http://en.wikipedia.org/wiki/Supertask

http://en.wikipedia....nd_vase_problem

http://en.wikipedia.org/wiki/Finitism

http://en.wikipedia....i/Infinitesimal

http://en.wikipedia....yperreal_number

http://en.wikipedia..../Surreal_number

http://en.wikipedia....iki/Transfinite

http://en.wikipedia....leo%27s_paradox

http://en.wikipedia....tor%27s_paradox

http://en.wikipedia....i-Forti_paradox

http://en.wikipedia.org/wiki/0.999...

http://en.wikipedia....ki/Aleph_number

http://en.wikipedia....itation_of_size

http://en.wikipedia....nd-infinite_set

http://en.wikipedia....lid%27s_theorem

http://en.wikipedia....ell%27s_paradox

http://en.wikipedia....lem%27s_paradox

 

 

Note that nature is considered fully consistent. That is the basis of all knowledge.

If a paradox exists it has to be caused by problems in man-made concepts (or axioms in mathematics).

This means paradoxes must be analyzed by trying to find the problem in the definitions or concepts.

The chicken and the egg problem for example is caused by the concept chicken.

The concept chicken is something practical for humans but in nature lifeforms exist in a constantly changing form.

Through many steps of gradual change transitions are made so there never is an exact point where the first chicken appears, the bird just became more and more chicken like.

The paradox appears when we create a concept that sets an artificial boundary called chicken.

 

 

 

some interesting reading there

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