The largest number, does it end in 0 or 9?

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Discussion Overview

The discussion revolves around the question of whether the concept of the largest number ends in 0 or 9. Participants explore the implications of defining a "largest number" and the nature of numerical ordering, with references to specific numbers and contexts.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants assert that there is no largest number, questioning the premise of the discussion.
  • One participant suggests that if a largest number, denoted as N, exists, adding 1 to it would contradict its status as the largest.
  • Another participant recalls a context where the largest number was defined as 32767, indicating that context may influence the definition of "largest number."
  • Some participants propose that if a largest number is defined, it would end in 0, specifically identifying it as 0 based on an algebraic ordering related to divisibility.
  • Others challenge this view, arguing that such reasoning could lead to arbitrary definitions of the largest number, such as claiming it ends in 3 by adjusting the ordering of integers.
  • Several humorous or speculative remarks are made about the largest number ending in 42, referencing cultural works without serious engagement with the original question.

Areas of Agreement / Disagreement

Participants generally disagree on the existence of a largest number and its properties, with multiple competing views presented without consensus.

Contextual Notes

The discussion lacks clear definitions of terms such as "largest," "large," and "end," which contributes to the ambiguity and varying interpretations among participants.

Orson
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Does the largest number end in 9 or 0?
 
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Yes - (I don't know)



 
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I was under the impression that there is no largest number.
 
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Orson said:
Does the largest number end in 9 or 0?
There is no largest number.
 
Orson said:
Does the largest number end in 9 or 0?
Now stop and think about this. Let's say the largest number is N. What happens when you add 1 to it?
 
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Perhaps it depends on the context.

I remember when I was much younger, I was frequently in a situation where the largest number was 32767.

diogenesNY
 
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diogenesNY said:
Perhaps it depends on the context.

I remember when I was much younger, I was frequently in a situation where the largest number was 32767.

diogenesNY
I remember it well.
 
The largest number - if it is defined - ends in 0 (actually, it is 0).
Reference: http://planetmath.org/node/84824
And no, this is not a joke. It's just that ordering of numbers is not quite unique.
There is an algebraic ordering based on divisibility that says that ##a\le b \text{ if } a\mid b##.
That is, if a number divides another one, it cannot be greater.
And that puts 0 at the top.
 
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I like Serena said:
The largest number - if it is defined - ends in 0 (actually, it is 0).
Reference: http://planetmath.org/node/84824
And no, this is not a joke. It's just that ordering of numbers is not quite unique.
That seems to be cheating. By equally valid logic, I could say that the last digit of the largest number is 3. Take the standard total ordering of the integers and adjust it so that 123 is larger than all others. Done.
 
  • #10
jbriggs444 said:
That seems to be cheating. By equally valid logic, I could say that the last digit of the largest number is 3. Take the standard total ordering of the integers and adjust it so that 123 is larger than all others. Done.
Ordering based on divisibility has meaning and is used in number theory. It's not unusual that in specific scientific areas edge cases are defined slightly differently. And zero is definitely an edge case in algebraic structures.
 
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  • #11
If it ends in 9 , multiply it by 10, if it ends in 0, add 9... SORRY, please delete.
 
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  • #12
Orson said:
Does the largest number end in 9 or 0?
If it ends in 9 , multiply it by 10, if it ends in 0, add 9...
 
  • #13
If it ends in 9, cut off a finger and start over.
 
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  • #14
WWGD said:
If it ends in 9 , multiply it by 10, if it ends in 0, add 9...
Rinse and repeat.
 
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  • #15
Oh, come on guys. Everybody knows that the largest number ends in the digits 42. I mean, where do you think Douglas Adams GOT the idea?
 
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  • #16
phinds said:
Oh, come on guys. Everybody knows that the largest number ends in the digits 42. I mean, where do you think Douglas Adams GOT the idea?
This answer is as good as any answer.

With more details what number, large, larger, largest or even end mean, one could perhaps have taken this seriously. Without them, the integers or reals have to be assumed and this entire question is less meaningful than 42 is. The fact that the OP obviously has lost his interest leaves two questions:
  • Is he a troll?
  • Is this funny?
The first question has a 70 : 30 chance on a yes, and the second is a clear no. And I'm always ready for some poor, bad or lame jokes. This one is none. Thread closed.
 
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