Services & Resources / Wolfram Forums / MathGroup Archive
-----

MathGroup Archive 2010

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: algebraic numbers

  • To: mathgroup at smc.vnet.net
  • Subject: [mg106316] Re: algebraic numbers
  • From: Richard Fateman <fateman at cs.berkeley.edu>
  • Date: Fri, 8 Jan 2010 04:15:22 -0500 (EST)
  • References: <200912290620.BAA02732@smc.vnet.net> <hhpl0g$9l1$1@smc.vnet.net> <hi42kd$nai$1@smc.vnet.net>


I agree with Bob.

who says that "all computer reals are rationals" [The ones that are 
represented by fractions and exponents consisting of finite strings of 
bits.., not those that are symbols like Pi].

The fact that Penrose annoyed a lot of people with his attack on 
computer science does not mean he is right, or worthy of reading
(though I have read his first opus).

  I tried another Google search and got ..

  Results 1 - 10 of about 188,000 for "hannah montana" +philosophy. 
(0.24 seconds)



As for whether a computer program could conceptualize mathematics and 
"know" something, anyone could just say "no, computers can't".
Others might point to programs that prove new theorems as a 
demonstration that computers "know math". (There are conferences
on this topic, Mathematical Knowledge Management, and long-term research 
projects on theorem proving by computer). And a more cogent (but also
deeply flawed) discussion of what computers can/can't do has been 
presented by John Searle, who is not a physicist, but a philosopher by 
profession.

Others have said that computers will not replace mathematicians until 
computers learn to drink coffee.

RJF


  • Prev by Date: Re: More /.{I->-1} craziness
  • Next by Date: Re: Integrate 'learns'?
  • Previous by thread: Re: algebraic numbers
  • Next by thread: Re: Re: Re: algebraic numbers