You did not leave von Neumann there. Not "for" and "JMP", but rather "for" and "recursion". And recursion in a language that doesn't have mutable variables. And

The thing is not whether it's possible to implement the same algorithms, but whether reasoning about the individual building blocks of one kind of programming languages will be useful for other kinds.

With your "for" vs "JMP" you've stayed within the von Neumann architecture, there are languages that are built on , say, lambda calculus. And even though both are turing complete and may be used to implement the same algorithms and eventualy transform the same data to the same result, their building blocks are different.


In reply to Re^5: OT: Mathematics for programming (again) by Jenda
in thread OT: Mathematics for programming (again) by vrk

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":



  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.