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Yes. The Mariana Trench is deeper than Mount Everest is high. But that doesn't mean the trench is "bigger".
"Before entering on an understanding, I have meditated for a long time, and have foreseen what might happen. It is not genius which reveals to me suddenly, secretly, what I have to say or to do in a circumstance unexpected by other people; it is reflection, it is meditation." - Napoleon I
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Mount Everest isn't high at all; it's at ground level.
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Perfect, it might have the highest/tallest peak, still at ground level...
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it makes sense.
the problem is the term "largest negative integer".
Does the "largest non-negative integer" = infinity ? if so, then the reverse would be "largest negative integer" which by symmetry would be -infinity. The problem is mixing language and mathematics.
3rd grade math revisited.
"A little time, a little trouble, your better day"
Badfinger
modified 15-Feb-24 15:04pm.
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Quote: 1 was the last, so it's the smallest positive number.
Everyone here has agreed on that!
Not the flat earthers.
(they abound)
>64
It’s weird being the same age as old people.
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And again I balk. "greater than" and "largest" are not synonymous for me, and "largest", when speaking of negative numbers, is non-sensical because negative things don't have "largeness."
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So ... you can't have a "large student debt"?
"I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
"Common sense is so rare these days, it should be classified as a super power" - Random T-shirt
AntiTwitter: @DalekDave is now a follower!
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Large or smaller is a perception as it might be greater than the next or it might be less tahn the next, philosophy kicking in now sorry...
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I never doubted for a minute that you were correct, I just didn't think hard enough about it.
The difficult we do right away...
...the impossible takes slightly longer.
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Very interesting riddle, almost got a brain freeze If you read carefully, the answer to get to 30 is quite obvious, unfortunately our brains are not wired that way..
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My first reaction, too. The first time I encountered this puzzle was an oral presentation. Made for some interesting notes, until one does the math correctly. The key is "where is the money", not "who spent what".
"A little time, a little trouble, your better day"
Badfinger
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Bringing QA experience to the Lounge!
"In testa che avete, Signor di Ceprano?"
-- Rigoletto
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Maybe - if you change "non-positive value" in your last sentence to "non-negative value".
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Oops!
Fixed
"I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
"Common sense is so rare these days, it should be classified as a super power" - Random T-shirt
AntiTwitter: @DalekDave is now a follower!
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I'm not sure about your explanation, but I sense you are making the mistake I referred to yesterday, viz. basing your argument on the way number theory is implemented in the computer languages with which you are familiar, rather than on formal number theory itself. To answer the question we need the advice of pure mathemeticians on how magnitude of negative numbers is defined. How computers deal with it is clouded, as usual, by practicalities and compromise. However I doubt if there are any pure mathematicians lurking in this forum!
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Just as a side winder regarding the math's behind this, why is it that binary only runs on 0 (zero) and 1's with 0 being the neutral number then and not why use -1 0 0 1 1 0 -1 as binary.
Maybe I should just go Google first as this is above my paygrade... ?
And so I found this also relating to largest and smaller compared to bigger and less, sorry - Binary Negative Numbers![^]
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oh no this has prompted me to post for the first time ever...
> the general case is "if you add a positive number to a value, you get a value that is greater than the original"
That is your postulate, not a fact or proof. -1 is greater than -2 only if you assume this is true.
I propose another: To divide a quantity or object in half is to produce two halves that are each smaller than the original whole. Divide a number in half, the result is the smaller number.
> Let's look at what "greater than" actually means...
We all know language is ambiguous. It could actually mean many different things. Of course no one is arguing that (-1 > -2) doesn't evaluate to true in your programming language of choice* That's just pragmatic.
*except maybe c++ in some cases...
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The formal mathematical proof that 1 + 1 = 2 runs to 360 pages of arcane symbols, and I don't understand a single page of it. I'm not going to try and modify that to formally prove X + n > X where n is a positive value because that proof would derive from 1 + 1 = 2 .
Instead, I suggest you show any example which is consistent with 1 + 1 = 2 where X + n <= X where n is a positive value . If you are right and I am wrong (which I'm fully prepared to believe) it should be simple for you
"I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
"Common sense is so rare these days, it should be classified as a super power" - Random T-shirt
AntiTwitter: @DalekDave is now a follower!
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That is simple: you have a hole in the ground and add a positive amount of soil to it. Is the hole now bigger or smaller? The hole is negative volume.
Divide that hole in half, the half hole is smaller than the whole hole.
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tl;dr
"larger" is ambiguous
"larger" can mean "greater than"
"larger" can mean "greater magnitude than"
And that is the issue. English is fickle.
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They fixed my issue!
A most joyous day indeed!
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Maybe they noticed the message below.
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So next time you contact MS Support, simply mention that you will post a rant on Codeprojekt about ms if the issue is not resolved within 24 hours
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Probably some Microsoft guys in the Lounge today.
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