The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Matheology § 253
Replies: 30   Last Post: Apr 22, 2013 2:44 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 18,076
Registered: 1/29/05
Matheology § 253
Posted: Apr 18, 2013 3:13 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Matheology § 253

Notice that if the result is a method that we do not quite recognize
as mathematical, {{then the reason is that mathematics like many
social standards have been perverted.}}. [...] What we have traced is
a more or less simultaneous rise of pure mathematics and reevaluation
of applied mathematics. Before all these, back in Newton?s or Euler?s
day, the methods of mathematics and the methods of science were one
and the same {{Mathematics was considered as a science. Frequently
theologians like Nicole Oresme, John Wallis, Bonaventura Cavalieri or
George Berkeley used to pursue it as an alternative to their
professional occupation - today mathematics does no longer offer an
alternative. Mathemativs and theology have merged.}}; if the goal is
to uncover the underlying structure of the world, if mathematics is
simply the language of that underlying structure, then the needs of
celestial mechanics (for Newton) or rational mechanics (for Euler) are
the needs of mathematics. From this perspective, the correctness of a
new mathematical method ? say the infinitary methods of the calculus
or the expanded notion of function ? is established by its role in
application. {{That's the philosophers (touch-)stone.}}
[Penelope Maddy: "How applied mathematics became pure", Reviev
Symbolic Logic 1 (2008) 16-41]

Regards, WM

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.