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  3. A gentle puzzle I was just asked.

A gentle puzzle I was just asked.

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  • K k5054

    The question is ambiguous in terms of what "largest negative" means. In a strict mathematical sense, that number is -1. But in an natural language sense, "largest negative" would mean "most negative". For example, when my bank account hits $-500, I owe a larger amount than when its only $-10!

    "A little song, a little dance, a little seltzer down your pants" Chuckles the clown

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    0x01AA
    wrote on last edited by
    #33

    I think for a programming forum the question is appropriately precise/clearly worded ;) Shame on me, my brain also focused on -Infinity for the largest negative number :-O :laugh:

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    • OriginalGriffO OriginalGriff

      What is the smallest positive integer minus the largest negative integer?

      "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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      BobbyStrain
      wrote on last edited by
      #34

      That would be 0.

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      • B BobbyStrain

        That would be 0.

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        0x01AA
        wrote on last edited by
        #35

        This certainly implies correctness in the mathematical sense. The consequence for programmers would then also be: 0 == 0: true 0 > 0 : true 0 < 0 :true

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        • K k5054

          The question is ambiguous in terms of what "largest negative" means. In a strict mathematical sense, that number is -1. But in an natural language sense, "largest negative" would mean "most negative". For example, when my bank account hits $-500, I owe a larger amount than when its only $-10!

          "A little song, a little dance, a little seltzer down your pants" Chuckles the clown

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          dbrenth
          wrote on last edited by
          #36

          What you OWE is a positive amount. What your bank account is is a negative amount. On the other hand, I keep getting a "bill" from a company for -$.01. I have called and talked to them multiple times, and they keep sending me the bill. Just send me the penny. It would be much cheaper. Brent Hoskisson

          Brent

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          • B BobbyStrain

            That would be 0.

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            dbrenth
            wrote on last edited by
            #37

            This was my answer as well. Both the smallest positive and largest negative integers are 0. But I can see the case for both 2 and Infinity. Brent Hoskisson

            Brent

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            • OriginalGriffO OriginalGriff

              Oh? Is -2 bigger than -1 now? :-D

              "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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              PIEBALDconsult
              wrote on last edited by
              #38

              "Bigger"? Yes.

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              • OriginalGriffO OriginalGriff

                Start with two bit signed numbers and work your way up from there ... :-D That always made me laugh - back in the day when CD players were the Bee's Knees they proudly announced the kit contained a "1 bit DA converter" on the adverts (and the player, normally).

                "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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                PIEBALDconsult
                wrote on last edited by
                #39

                OriginalGriff wrote:

                when CD players were the Bee's Knees

                Ooohhh... and 4X oversampling?

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                • K k5054

                  The question is ambiguous in terms of what "largest negative" means. In a strict mathematical sense, that number is -1. But in an natural language sense, "largest negative" would mean "most negative". For example, when my bank account hits $-500, I owe a larger amount than when its only $-10!

                  "A little song, a little dance, a little seltzer down your pants" Chuckles the clown

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                  PIEBALDconsult
                  wrote on last edited by
                  #40

                  k5054 wrote:

                  The question is ambiguous in terms

                  I agree. It lacks rigor. It ought to use the correct mathematical term -- "GREATER THAN".

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                  • OriginalGriffO OriginalGriff

                    What is the smallest positive integer minus the largest negative integer?

                    "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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                    PIEBALDconsult
                    wrote on last edited by
                    #41

                    "I reject the premise of the question." -- Leo McGarry

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                    • A Amarnath S

                      Smallest positive integer = 1 Largest negative integer = -1 Difference is 2.

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                      raddevus
                      wrote on last edited by
                      #42

                      I agree with you. Here's what chatGPT 3.5 says:

                      ChatGPT:

                      There isn't a smallest positive integer or largest negative integer in the mathematical sense, as integers extend infinitely in both positive and negative directions. The set of integers includes all whole numbers, both positive and negative, and extends infinitely in both directions. If you're asking about the difference between the smallest positive integer (1) and the largest negative integer (which doesn't exist), it's not a well-defined mathematical operation. The concept of the "largest negative integer" doesn't have a meaningful value in standard arithmetic. If you have a specific range or context in mind, please provide more details so I can assist you better.

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                      • M MarkTJohnson

                        1 - (-1) = 1+1 = 2

                        I’ve given up trying to be calm. However, I am open to feeling slightly less agitated. I’m begging you for the benefit of everyone, don’t be STUPID.

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                        raddevus
                        wrote on last edited by
                        #43

                        Yours is the answer I liked best. Look at what chatGPT 3.5 says:

                        ChatGPT:

                        There isn't a smallest positive integer or largest negative integer in the mathematical sense, as integers extend infinitely in both positive and negative directions. The set of integers includes all whole numbers, both positive and negative, and extends infinitely in both directions. If you're asking about the difference between the smallest positive integer (1) and the largest negative integer (which doesn't exist), it's not a well-defined mathematical operation. The concept of the "largest negative integer" doesn't have a meaningful value in standard arithmetic. If you have a specific range or context in mind, please provide more details so I can assist you better.

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                        • R raddevus

                          Yours is the answer I liked best. Look at what chatGPT 3.5 says:

                          ChatGPT:

                          There isn't a smallest positive integer or largest negative integer in the mathematical sense, as integers extend infinitely in both positive and negative directions. The set of integers includes all whole numbers, both positive and negative, and extends infinitely in both directions. If you're asking about the difference between the smallest positive integer (1) and the largest negative integer (which doesn't exist), it's not a well-defined mathematical operation. The concept of the "largest negative integer" doesn't have a meaningful value in standard arithmetic. If you have a specific range or context in mind, please provide more details so I can assist you better.

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                          MarkTJohnson
                          wrote on last edited by
                          #44

                          The largest negative integer is the negative integer that is greater than all other negative integers. hence -1. Hopefully this isn't devolving into a political conversation.

                          I’ve given up trying to be calm. However, I am open to feeling slightly less agitated. I’m begging you for the benefit of everyone, don’t be STUPID.

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                          • M MarkTJohnson

                            The largest negative integer is the negative integer that is greater than all other negative integers. hence -1. Hopefully this isn't devolving into a political conversation.

                            I’ve given up trying to be calm. However, I am open to feeling slightly less agitated. I’m begging you for the benefit of everyone, don’t be STUPID.

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                            raddevus
                            wrote on last edited by
                            #45

                            MarkTJohnson wrote:

                            The largest negative integer is the negative integer that is greater than all other negative integers.

                            I thought the same thing. Also, isn't it interesting that on the other side of 0 that no one had a problem distinguishing the smallest positive integer : which is 1. Aren't all numbers greater than others when the are further to the right of other numbers? Also, do these people not believe that following are true? -5000 < -1 -1 > -5000 Then why don't they know that the largest negative integer is -1?

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                            • L Lost User

                              Well, considering the largest negative integer tends to infinity…

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                              raddevus
                              wrote on last edited by
                              #46

                              Which one is true? 1. -Infinity > -1 2. -1 > -Infinity JavaScript says that the first is false and second is true -- see snapshot[^]. Pretty sure that JS has the definitive answer, since it's the Best Programming Language ever! :rolleyes: Sorry, just trolling all programming nerds. :laugh: But seriously, don't you think that is right?

                              Number.NEGATIVE_INFINITY > -1 // false
                              Number.NEGATIVE_INFINITY < -1 // true

                              // a little clearer about my meaning
                              -1 > Number.NEGATIVE_INFINITY // TRUE

                              So largest negative integer = -1 :)

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                              • M MarkTJohnson

                                The largest negative integer is the negative integer that is greater than all other negative integers. hence -1. Hopefully this isn't devolving into a political conversation.

                                I’ve given up trying to be calm. However, I am open to feeling slightly less agitated. I’m begging you for the benefit of everyone, don’t be STUPID.

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                                raddevus
                                wrote on last edited by
                                #47

                                Check this out. It's JavaScript but...

                                Number.MIN_VALUE < -1 // true
                                Number.NEGATIVE_INFINITY > -1 // false
                                // a little clearer
                                -1 > Number.NEGATIVE_INFINITY // TRUE

                                So the largest negative integer is -1. :thumbsup:

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                                • OriginalGriffO OriginalGriff

                                  So which is bigger: -1 or -2?

                                  "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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                                  Lost User
                                  wrote on last edited by
                                  #48

                                  -∞

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                                  • OriginalGriffO OriginalGriff

                                    What is the smallest positive integer minus the largest negative integer?

                                    "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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                                    Lost User
                                    wrote on last edited by
                                    #49

                                    OriginalGriff wrote:

                                    What is the smallest positive integer minus the largest negative integer?

                                    Yeah, I resorted to asking a child. The smallest positive integer is 1. I can cope with that. The largest negative integer is infinite. She said infinite negative +1. I am still looking for a way to refute that.

                                    Bastard Programmer from Hell :suss: "If you just follow the bacon Eddy, wherever it leads you, then you won't have to think about politics." -- Some Bell.

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                                    • OriginalGriffO OriginalGriff

                                      What is the smallest positive integer minus the largest negative integer?

                                      "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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                                      jmaida
                                      wrote on last edited by
                                      #50

                                      1 is smallest positive integer -infinity is largest negative integer 1 - (-infinity) is 1 + infinity is infinity oops my coffee cup is overflowing

                                      "A little time, a little trouble, your better day" Badfinger

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                                      • A Amarnath S

                                        Smallest positive integer = 1 Largest negative integer = -1 Difference is 2.

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                                        Lost User
                                        wrote on last edited by
                                        #51

                                        Largest negative. I had not noticed that. Reading correctly is half the battle. :thumbsup: Well done :suss:

                                        Bastard Programmer from Hell :suss: "If you just follow the bacon Eddy, wherever it leads you, then you won't have to think about politics." -- Some Bell.

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                                        • J jmaida

                                          1 is smallest positive integer -infinity is largest negative integer 1 - (-infinity) is 1 + infinity is infinity oops my coffee cup is overflowing

                                          "A little time, a little trouble, your better day" Badfinger

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                                          Lost User
                                          wrote on last edited by
                                          #52

                                          I fell for the same. -1 is larger than -10. The largest negative integer is -1. Infinity isn't in this game. Made me feel stupid and I loved it :thumbsup:

                                          Bastard Programmer from Hell :suss: "If you just follow the bacon Eddy, wherever it leads you, then you won't have to think about politics." -- Some Bell.

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