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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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    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

      OriginalGriffO 1 Reply Last reply
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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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                                    • L Lost User

                                      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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                                      jmaida
                                      wrote on last edited by
                                      #53

                                      All depends on one's definition of largest negative integer. The largest integer that is negative or the largest negative integer compared to all negative integers. The problem as stated is missing this clarity.

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

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                                      • D dbrenth

                                        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

                                        OriginalGriffO Offline
                                        OriginalGriffO Offline
                                        OriginalGriff
                                        wrote on last edited by
                                        #54

                                        Mathematically, zero is neither positive or negative ... :-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!

                                        "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

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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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                                          Davyd McColl
                                          wrote on last edited by
                                          #55

                                          For sure: if I have -$2, I owe the bank more than if I had -$1. $2 is a larger number, indicating a larger debt.

                                          ------------------------------------------------ If you say that getting the money is the most important thing You will spend your life completely wasting your time You will be doing things you don't like doing In order to go on living That is, to go on doing things you don't like doing Which is stupid. - Alan Watts https://www.youtube.com/watch?v=-gXTZM\_uPMY

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