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@LionJim, prove me wrong

IrishHerb

IrishHerb

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Oct 13, 2021
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Did you know that 1 + 2 + 3 + 4 + ... = -1/8? Here is why ...

Let X = 1+2+3+4+5+6+7+ 8+9+10+... then
X = 1+(2+3+4)+(5+6+7)+(8+9+10)+ ...
X = 1+9+18+27+...
X = 1+9(1+2+3+...)
X = 1+9X
X-9X = 1
-8X = 1
X=-1/8
 
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psuro

psuro

Heisman
Aug 24, 2001
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LionJim said:
Facebook? What’s that?
Click to expand...
It's a book.....for your face.....

Girl Eye Roll GIF
 
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NittPicker

NittPicker

Heisman
Jun 30, 2001
6,151
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IrishHerb said:
Did you know that 1 + 2 + 3 + 4 + ... = -1/8? Here is why ...

Let X = 1+2+3+4+5+6+7+ 8+9+10+... then
X = 1+(2+3+4)+(5+6+7)+(8+9+10)+ ...
X = 1+9+18+27+...
X = 1+9(1+2+3+...)
X = 1+9X
X-9X = 1
-8X = 1
X=-1/8
Click to expand...

LionJim said:
Pretty cool, had never seen it before. Wild that someone bothered to come up with something like this. The mistake is in sixth line, as infinity minus infinity is undefined.
Click to expand...
I'm a math dummy. Ask my high school teacher. But with all due respect to those of you who have spent your lives solving problems much more difficult than me adding up my 150 golf score, wouldn't the mistake be in line #1?? It was always my understanding that X equals an unknown but discoverable quantity which can be found by applying the order of operations to the equation. OTOH, since infinity cannot be defined and isn't discoverable, it cannot be called X. Therefore, line #1 is an impossibility. X ≠ ∞.

∞ = 1+2+3+4+5+6+7+8+9+10..... That would be correct and would need no further analysis.
 
LionJim

LionJim

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Oct 12, 2021
15,015
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NittPicker said:
I'm a math dummy. Ask my high school teacher. But with all due respect to those of you who have spent your lives solving problems much more difficult than me adding up my 150 golf score, wouldn't the mistake be in line #1?? It was always my understanding that X equals an unknown but discoverable quantity which can be found by applying the order of operations to the equation. OTOH, since infinity cannot be defined and isn't discoverable, it cannot be called X. Therefore, line #1 is an impossibility. X ≠ ∞.
Click to expand...
Great try. Infinity can be defined. X equals infinity if X is greater than every natural number. Pretty good try, actually, kudos.
 
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LionJim

LionJim

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Oct 12, 2021
15,015
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Cabinpenn said:
Get back to me when you guys solve Collatz Conjecture. I'll wait. 🤪
Click to expand...
Had never heard of it. It's hard for me to believe that it hasn't yet been proven.

Start with any natural number greater than 1, call it x. There's an algorithm for creating a new number, if x is even, let the next number be x/2; if x is odd, let the next number be 3x+1. The Collatz Conjecture says that you'll eventually hit 1.

Example: x=9. Then the sequence will be 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1.
 
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Nittering Nabob

Nittering Nabob

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Sep 17, 2024
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IrishHerb said:
Did you know that 1 + 2 + 3 + 4 + ... = -1/8? Here is why ...

Let X = 1+2+3+4+5+6+7+ 8+9+10+... then
X = 1+(2+3+4)+(5+6+7)+(8+9+10)+ ...
X = 1+9+18+27+...
X = 1+9(1+2+3+...)
X = 1+9X
X-9X = 1
-8X = 1
X=-1/8
Click to expand...
Are all leprechauns this poor at math?

Your first four (4) “equations” were essentially

X = ∞

WTF? 🤷🏼‍♂️
 
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LionJim

LionJim

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Oct 12, 2021
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While we’re all gathered here, a birthday shout-out to Charlie Fefferman, one of the really great ones. One of U Maryland’s most illustrious graduates, along with Jim Henson and Sergey Brin. Fefferman was a child prodigy, makes for a good read.

Fefferman won the Fields Medal when he was 29, the second youngest ever, I believe. (Serre was 27.)

en.wikipedia.org

Charles Fefferman - Wikipedia

en.wikipedia.org en.wikipedia.org
 
Last edited:
LionJim

LionJim

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Oct 12, 2021
15,015
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berklion said:
Since Lion Jim has his pencil and paper handy, I always wondered about this. If you look at the attached chart, 29/64 is 0.453125. From the right side, ,5 is on the chart (1/2). .25 is on, .125 is 1/8, .3125 is on, .53125 is on. This happens with every number on the chart. It can't be coincidence, can it?

https://i.pinimg.com/736x/85/b1/0d/85b10dec902de5641693decd22097b92.jpg
Click to expand...
I get what you’re trying to say. I’m off to the gym now, will get back to it. Should be fun. Confident it’s not a coincidence, if I do understand correctly.

I once went to a meeting of the American Mathematical Society and after five minutes on the first day my sign language interpreter turned to me and said, “I’ve been to a thousand of these meetings. At every non-math meeting when people greet each other it’s all How was your flight? How is little Debbie adjusting to her braces? That kind of thing. Here, they go straight up to each other and start talking math.” I was way way into literature when I was growing up and really really wish I had that time back for math.
 
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LionJim

LionJim

Heisman
Oct 12, 2021
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berklion said:
Since Lion Jim has his pencil and paper handy, I always wondered about this. If you look at the attached chart, 29/64 is 0.453125. From the right side, ,5 is on the chart (1/2). .25 is on, .125 is 1/8, .3125 is on, .53125 is on. This happens with every number on the chart. It can't be coincidence, can it?

https://i.pinimg.com/736x/85/b1/0d/85b10dec902de5641693decd22097b92.jpg
Click to expand...
The increments are in units of 1/64=0.015625 and the last two digits of this is 25, so any multiple of 1/64 will end with a multiple of 25, namely 00, 25, 50, 75.
 
S

slwlion

Freshman
Oct 14, 2021
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IrishHerb said:
Did you know that 1 + 2 + 3 + 4 + ... = -1/8? Here is why ...

Let X = 1+2+3+4+5+6+7+ 8+9+10+... then
X = 1+(2+3+4)+(5+6+7)+(8+9+10)+ ...
X = 1+9+18+27+...
X = 1+9(1+2+3+...)
X = 1+9X
X-9X = 1
-8X = 1
X=-1/8
Click to expand...
I'm going on the Panther lair. You younguns are too much for me. I never got passed casting out nines. lol
 
ApexLion

ApexLion

Heisman
Nov 1, 2021
6,093
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LionJim said:
Pretty cool, had never seen it before. Wild that someone bothered to come up with something like this. The mistake is in sixth line, as infinity minus infinity is undefined.
Click to expand...
Boo-ya math slap down! You like apples?
 
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