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Variables definition in Euler's introduction to analysis

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  1. Dec 15, 2015 #1
    In his book, Euler gives the definition of a variable to be : "A variable quantity is an indeterminate or universal quantity, which includes within itself all completely determined values." What does he mean exactly in the last part of the sentence?
     
  2. jcsd
  3. Dec 15, 2015 #2

    Samy_A

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    If I interpret the German original correctly, he means that a variable can represent any value, and by value he means a number.

    eulervariable.jpg

    The "completely determined values" are the constants defined in the preceding paragraph.

    In the following page he explains that a variable has an undetermined value, until by computation you can assign it a determined value (including complex values).

    eulervariable2.jpg

    http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN379242303&DMDID=DMDLOG_0007
     
    Last edited: Dec 15, 2015
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