# Has anyone here studies hyperreal numbers?

Discussion in 'The Cesspool' started by Why?, Jul 16, 2008.

1. ### Why?Registered Senior Member

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If so, then does the following make any sense in hyperreal numbers: an infinitely small number added to itself an infinite number of times cancels out the infinities and creates the smallest number possible?

3. ### AlphaNumericFully ionizedRegistered Senior Member

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No.

Because you've basically said that a>0 and n*a = a+....+a > 0. But since a>0 and we're not working over a finite dimensional modular field then a+a+...+a = n*a > a > 0.

An infintisimal multiplied by an infinite number will be a finite number. Which one would require you to do the specifics of the question.

5. ### BenTheManDr. of Physics, Prof. of LoveValued Senior Member

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Why?

Consider this a warning. John J. Bannan was just banned for reposting topics which were moved from this forum to the Cesspool. This is explicitly against the Terms of Membership for SciForums, which you agreed to when you joined.

7. ### AlphaNumericFully ionizedRegistered Senior Member

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And just to throw another spanner in the works of the people who don't understand analysis. there is no 'smallest positive number'.

8. ### CptBorkValued Senior Member

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Go look up hyperreal numbers on Wikipedia. Then, if it appears too complicated to understand, as I have no doubt it will be for you, that means don't bother asking.

9. ### CannonRegistered Senior Member

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the smallest number would be infact be the center of Epsilon = 0 + 0.infinity01. Look into what numbers matter, a picometer is equal to 0.00000000000000000000000000001 but to make something a definate measurement you would need to measure it at one milipicometer. 1/100 the size of a picometer. That is infact what the reasonable size of an electron would be. These are would you could still refer to as real numbers. Imaginary numbers would be those as to calculate the path of an electron around its source to calculate its consistancy. Therefore epsilon exists only when taken into consideration of the calculation of both real and imaginary numbers.

Numbers also span both ways, negative, so the smallest real number may be 0.00000000000000000000000000000001 the smallest imaginary number is infact infinate whereas real numbers are finate. This now then falls into the study of X-rays, micro-waves and gamma waves with the energy corolation to real and imaginary numbers.

Now to explain the andsoon, pronounced and so on, not andsoon. andsoon's are the root of infinate numbers from the result of logorithms. end of topic...

10. ### CptBorkValued Senior Member

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Please tell me that was a joke...

11. ### CannonRegistered Senior Member

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no, not at all

12. ### CannonRegistered Senior Member

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I have the math in my notebook to prove all of it, I don't dare put it on my computer for fear of it being stolen

13. ### CannonRegistered Senior Member

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This all comes from the fact that there is 64,800 Surface graphable points on a sphere at 1 degree.

14. ### CptBorkValued Senior Member

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Sounds like a load of complete rubbish to me. Almost as nonsensical as what Reiku posts.

15. ### CannonRegistered Senior Member

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check the post Spheres, this explaines how you would need to measure at 1/10^32 for exact accuracy. Exact as real gets.

16. ### CptBorkValued Senior Member

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Still looks like rubbish, very poorly explained rubbish at that. And you don't show how any of that relates to the discussion here.

17. ### CannonRegistered Senior Member

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So, to measure something at 1/100 of a centimeter would make the measurements 12,960,000 surface graphable points. This is barely the industrial standard. So if you take into consideration the ability to laser cut something at 1/10000 of a centimeter accuracy, it is now 100 times more accurate and is in the billions for calculations. You would then be measuring at 0.0001 of a centimeter. Definate accuracy is at 0.00000000000000000000000000000001 so we have a long way to go before the sphere is perfected. This would require a gamma laser to make the most precise cuts possible, or a radiowave laser, but that I believe would be impossible. What one is straighter?

18. ### CptBorkValued Senior Member

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Even if I humour you and assume your assertions about plotting points on the sphere is correct, I can still construct an even finer grid than what you propose. Your arguments don't relate to hyperreal numbers in any way, and hyperreal numbers are independent of any physical argument, so the connection you attempt to draw between them is irrelevant.

19. ### CannonRegistered Senior Member

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Once again, the correlation between the two exists due to the fact that there are 3 layers of existence with spheres each one have 10 sublayer of existence, therefore changing the equation from 129,600 at one degree to (129,600*3)^10, you can increase the accuracy of the measurements from one degree to 1/10, 1/100, 1/100 and so on until you come to 1/10000000000000000000000000000000 of a degree which is equal to the size of a singe proton. This grid can be made indefinately accurate. You clearly do not understand the complexity you are dealing with. It is meant to be written in logarithms but that is hard when it involves fractions.

20. ### BenTheManDr. of Physics, Prof. of LoveValued Senior Member

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Welcome to the cesspool

21. ### CannonRegistered Senior Member

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This was not a cesspool conversation this was a mathmatics/physics

22. ### SyzygysAs a mother, I am telling youValued Senior Member

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OP should be castrated and thrown to the bears. We here generally don't care about hypernumbers and idiot started 4 or so threads on a boring subject...

23. ### CptBorkValued Senior Member

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You don't know any math and physics, you're not even studying it in school. How would you know what does and doesn't belong in the cesspool? Quit trolling please and go learn this stuff before you make assertions about it.