What does the term “arbitrary number” mean in math?












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What does "arbitrary number" means in math? I've often seen this vocabulary but I can't find the meaning of it. For example, I'll see phrases like "arbitrary positive integer".










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    "Arbitrary" basically means "any". So if we say something like "let $n$ be an arbitrary integer", you can think of this as "let $n$ be any integer"
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    – pwerth
    Dec 17 '18 at 18:50










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    The way I explain it to my students, for example: "Let $k$ be an arbitrary positive integer. I don't care what it is, it's just a positive integer."
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    – Sean Roberson
    Dec 22 '18 at 17:16
















1












$begingroup$


What does "arbitrary number" means in math? I've often seen this vocabulary but I can't find the meaning of it. For example, I'll see phrases like "arbitrary positive integer".










share|cite|improve this question











$endgroup$








  • 5




    $begingroup$
    "Arbitrary" basically means "any". So if we say something like "let $n$ be an arbitrary integer", you can think of this as "let $n$ be any integer"
    $endgroup$
    – pwerth
    Dec 17 '18 at 18:50










  • $begingroup$
    The way I explain it to my students, for example: "Let $k$ be an arbitrary positive integer. I don't care what it is, it's just a positive integer."
    $endgroup$
    – Sean Roberson
    Dec 22 '18 at 17:16














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$begingroup$


What does "arbitrary number" means in math? I've often seen this vocabulary but I can't find the meaning of it. For example, I'll see phrases like "arbitrary positive integer".










share|cite|improve this question











$endgroup$




What does "arbitrary number" means in math? I've often seen this vocabulary but I can't find the meaning of it. For example, I'll see phrases like "arbitrary positive integer".







terminology definition






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edited Dec 22 '18 at 17:13









Mike Pierce

11.7k103584




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asked Dec 17 '18 at 18:45









Mohammed RizqallahMohammed Rizqallah

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88








  • 5




    $begingroup$
    "Arbitrary" basically means "any". So if we say something like "let $n$ be an arbitrary integer", you can think of this as "let $n$ be any integer"
    $endgroup$
    – pwerth
    Dec 17 '18 at 18:50










  • $begingroup$
    The way I explain it to my students, for example: "Let $k$ be an arbitrary positive integer. I don't care what it is, it's just a positive integer."
    $endgroup$
    – Sean Roberson
    Dec 22 '18 at 17:16














  • 5




    $begingroup$
    "Arbitrary" basically means "any". So if we say something like "let $n$ be an arbitrary integer", you can think of this as "let $n$ be any integer"
    $endgroup$
    – pwerth
    Dec 17 '18 at 18:50










  • $begingroup$
    The way I explain it to my students, for example: "Let $k$ be an arbitrary positive integer. I don't care what it is, it's just a positive integer."
    $endgroup$
    – Sean Roberson
    Dec 22 '18 at 17:16








5




5




$begingroup$
"Arbitrary" basically means "any". So if we say something like "let $n$ be an arbitrary integer", you can think of this as "let $n$ be any integer"
$endgroup$
– pwerth
Dec 17 '18 at 18:50




$begingroup$
"Arbitrary" basically means "any". So if we say something like "let $n$ be an arbitrary integer", you can think of this as "let $n$ be any integer"
$endgroup$
– pwerth
Dec 17 '18 at 18:50












$begingroup$
The way I explain it to my students, for example: "Let $k$ be an arbitrary positive integer. I don't care what it is, it's just a positive integer."
$endgroup$
– Sean Roberson
Dec 22 '18 at 17:16




$begingroup$
The way I explain it to my students, for example: "Let $k$ be an arbitrary positive integer. I don't care what it is, it's just a positive integer."
$endgroup$
– Sean Roberson
Dec 22 '18 at 17:16










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Dictionary definition: based on random choice or personal whim, rather than any reason or system.



That's exactly what it means, even in the context of math.






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    1 Answer
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    active

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    1












    $begingroup$

    Dictionary definition: based on random choice or personal whim, rather than any reason or system.



    That's exactly what it means, even in the context of math.






    share|cite|improve this answer









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      1












      $begingroup$

      Dictionary definition: based on random choice or personal whim, rather than any reason or system.



      That's exactly what it means, even in the context of math.






      share|cite|improve this answer









      $endgroup$
















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        1





        $begingroup$

        Dictionary definition: based on random choice or personal whim, rather than any reason or system.



        That's exactly what it means, even in the context of math.






        share|cite|improve this answer









        $endgroup$



        Dictionary definition: based on random choice or personal whim, rather than any reason or system.



        That's exactly what it means, even in the context of math.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Dec 17 '18 at 21:53









        Aditya DuaAditya Dua

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