mersenneforum.org A thought on Division in Mathematics
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2020-06-23, 14:29   #34
BillyB

Jun 2020

1D16 Posts

Quote:
 Originally Posted by BillyB I shared it with math and engineering professors. I graduated already.
As an engineering student we have math and engineering professors so my apologies for not being more specific. I also shared with a statistics and physics professor

Last fiddled with by BillyB on 2020-06-23 at 14:29

2020-06-23, 14:29   #35
retina
Undefined

"The unspeakable one"
Jun 2006
My evil lair

10111000010002 Posts

Quote:
 Originally Posted by BillyB That is politely why this is a new thought on division. But they are separate. You can’t say the equal each other because they are different concepts combined together. But to be clear we are saying the same thing. One cut zero equals one. One cut one equals 2(1/2) which also equals one when multiplied together and so on and so on.
You appear to have missed the point completely. If you can't represent whatever is your equivalent of division-by-zero, just say so.

Division:
numerator / divisor = some result

You:
(numerator)(divisor-1) = some result

What do you write when when the divisor = 0? I don't care about the result. Everyone here already knows what the result is when dividing by zero.

Last fiddled with by retina on 2020-06-23 at 14:30

2020-06-23, 14:32   #36
BillyB

Jun 2020

1D16 Posts

Quote:
 Originally Posted by Uncwilly And what did the math folks say?
I’ve already mentioned some of it. That I can’t call it division but rather a new thought or theory about it. Another one told me a lot of great things about it including that it contradicts everything in the math department. I wasn’t sure about what he meant so I began to dig deeper and it lead me down this road of asking questions about our current division and not stopping until I either understood and couldn’t provide a solution or figuring out how my theory could be a solution.

2020-06-23, 14:42   #37
Uncwilly
6809 > 6502

"""""""""""""""""""
Aug 2003
101×103 Posts

2·112·37 Posts

Quote:
 Originally Posted by BillyB Another one told me a lot of great things about it including that it contradicts everything in the math department. I wasn’t sure about what he meant
I don't think "great things" fits with "contradicts". If you weren't sure what he meant, you should have have asked. Maybe he was trying to tell you to go find out why your idea fails. Maybe your memories have altered the facts since you left school years ago.

If it contradicts everything in the math department, then either your idea is flawed, or all of known math is wrong.

2020-06-23, 14:46   #38
retina
Undefined

"The unspeakable one"
Jun 2006
My evil lair

134108 Posts

Quote:
 Originally Posted by Uncwilly ... "great things" ...
Perhaps the very first meaning listed here?
Quote:
 Relatively large in scale, size, extent, number (i.e. having many parts or members) or duration (i.e. relatively long); very big.

2020-06-23, 14:48   #39
BillyB

Jun 2020

1D16 Posts

Quote:
 Originally Posted by Uncwilly I don't think "great things" fits with "contradicts". If you weren't sure what he meant, you should have have asked. Maybe he was trying to tell you to go find out why your idea fails. Maybe your memories have altered the facts since you left school years ago. If it contradicts everything in the math department, then either your idea is flawed, or all of known math is wrong.
I agree so my apologies for saying great things and contradicts in the same sentence. He wanted me to figure it out on my own. I’m not saying all of math is wrong but maybe it’s time to shift the way we think to clear up confusion. What is really happening if I ask you to explain 1/2=.5? You would most likely reply that I am splitting one thing among two groups so they each get a half. That works 99.9999999999% of the time from I understand. It breaks down at 1/0. When I think about 1/0 I ask if I’m dividing one thing by no things then I should still have 1 thing but I can’t because we have other rules like multiplying both sides by the denominator which is why the original rule breaks down. Maybe my theory is broken but that is why I am here. To discuss it and find out.

2020-06-23, 14:53   #40
retina
Undefined

"The unspeakable one"
Jun 2006
My evil lair

23×11×67 Posts

Quote:
 Originally Posted by BillyB ... if I ask you to explain 1/2=.5? You would most likely reply that I am splitting one thing among two groups so they each get a half. That works 99.9999999999% of the time from I understand. It breaks down at 1/0. When I think about 1/0 I ask if I’m dividing one thing by no things then I should still have 1 thing but I can’t because we have other rules like multiplying both sides by the denominator which is why the original rule breaks down. Maybe my theory is broken but that is why I am here. To discuss it and find out.
I think you are looking at division incorrectly.

1/2 is how many times can we cut things of size 2 from a thing of size 1.
6.4 / 1.7 is how many times can we cut things of size 1.7 from a thing of size 6.4.
1/0 is how many times can we cut things of size 0 from a thing of size 1.

2020-06-23, 14:55   #41
BillyB

Jun 2020

29 Posts

Quote:
 Originally Posted by retina I think you are looking at division incorrectly. 1/2 is how many times can we cut things of size 2 from a thing of size 1. 6.4 / 1.7 is how many times can we cut things of size 1.7 from a thing of size 6.4. 1/0 is how many times can we cut things of size 0 from a thing of size 1.
So from what you are saying is how much of the denominator goes into the numerator? I’ve covered this in a power point presentation that I wish I could share with you. That to me sounds like inverse division

 2020-06-23, 14:55 #42 Uncwilly 6809 > 6502     """"""""""""""""""" Aug 2003 101×103 Posts 22FA16 Posts Last fiddled with by Uncwilly on 2020-06-23 at 14:59
2020-06-23, 14:57   #43
BillyB

Jun 2020

111012 Posts

Quote:
 Originally Posted by Uncwilly
Lol I doubt it. The way I present the material may not be the best but it’s also hard to wrap your head around the implications of something like this

 2020-06-23, 15:16 #44 storm5510 Random Account     Aug 2009 U.S.A. 25·53 Posts Off-topic, somewhat. Seeing all the fractions in the pizza video reminded me of my father. He worked over 25 years in a road construction machine factory. He could look at a bolt head or a nut and say what size it was. He would get 8th's and 16th's right every time. He was also a part-time carpenter. He could glance at a tape-measure and do the same thing. He struggled with millimeters when it became common much later in his life.

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