Orson
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Does the largest number end in 9 or 0?
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The discussion centers on the concept of the largest number and whether it ends in 0 or 9. Participants assert that there is no largest number, with one contributor, diogenesNY, stating that if a largest number is defined, it would end in 0, specifically identifying 0 as the largest number based on algebraic ordering principles. The conversation highlights the ambiguity in defining "largest" and the context-dependent nature of numerical ordering, particularly referencing the standard total ordering of integers and divisibility.
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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?Orson said:Does the largest number end in 9 or 0?
I remember it well.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
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.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.
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.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.
If it ends in 9 , multiply it by 10, if it ends in 0, add 9...Orson said:Does the largest number end in 9 or 0?
Rinse and repeat.WWGD said:If it ends in 9 , multiply it by 10, if it ends in 0, add 9...
This answer is as good as any answer.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?