As I understand it the angels dancing on the head of a pin question was never a serious topic of debate, but just an example put into the mouths of late medieval rhetoricians to make them seem ridiculous. Of course they did in fact debate some ideas which we'd judge fairly ridiculous these days, but there are no contemporary records indicating that this particular question was a topic for debate.

Kind of like how people these days assert that Columbus' contemporaries worried about him sailing off the edge of the Earth. They did not. The fact that the Earth is roughly spherical was known to Aristotle. Their concern was that he'd vastly underestimated the distance to Asia. The royal courts of Portugal, Genoa, Venice and England rejected sponsoring his proposed voyages for that reason; the Spanish had reservations but gave him the benefit of the doubt. It turned out his critics were right; Columbus would never have made it to Asia without running out of food and fresh water; he was extremely fortuitous to find an entire super-continent blocking his path.

If only those medieval philosophers had had Perl...

use 5.010;

# See http://en.wikipedia.org/wiki/Orders_of_magnitude_(area).
use constant AREA_OF_THE_HEAD_OF_A_PIN  => 2.000; # square millimetres

# Based on the assumption that angels are non-corporeal.
use constant SPACE_TAKEN_UP_BY_ANGEL    => 0.000; # square millimetres
+ 

my $angels = 0;
my $area_remaining = AREA_OF_THE_HEAD_OF_A_PIN;

while ($area_remaining > 0)
{
    $angels++;
    $area_remaining -= SPACE_TAKEN_UP_BY_ANGEL;
}

say "$angels angels can fit on the head of a pin";

[download]

Of course, the above assumes that angels tessellate perfectly. But I consider that to be a reasonable assumption. An angel that did not tessellate would not be especially angelic.

perl -E'sub Monkey::do{say$_,for@_,do{($monkey=[caller(0)]->[3])=~s{::}{ }and$monkey}}"Monkey say"->Monkey::do'

In reply to Re^2: Python and Bash more useful than Perl? by tobyink
in thread Python and Bash more useful than Perl? by mikeraz

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.