He lives.... Julie Krueger On Sat, Oct 23, 2010 at 1:04 PM, Andreas Ramos <andreas@xxxxxxxxxxx> wrote: > I've been wondering about this for the last few years. > > - Is mathematics a feature of nature, or is it imposed on nature by > the sentient mind? Counting cows is easy, but what about pi and > sophisticated mathematics? See > http://en.wikipedia.org/wiki/Pure_mathematics > > - The same for logic. Are the rules of logic also the laws of nature? > Or again, is this part of the human mind's way to understanding > nature? This becomes a problem with quantum mechanics: sub-atomic > particles don't obey the laws of the human-visible world. > Teleportation, persistence, and so on. > > yrs, > andreas > www.andreas.com > > > > > On Fri, Oct 22, 2010 at 11:00 AM, Torgeir Fjeld <torgeir_fjeld@xxxxxxxx> > wrote: > > Donal writes: > >>>> > > We may say there was no number system on earth before humans invented > one. This would not mean such a number system could not apply to what is > 'out there'. > > > > Consider two number systems:- (a) '1, 2, 3, 5, more than 5'; and (b) '1, > 2, 3, 4, 5, 6, 7, 8, 9, 10, more than 10'. The farmer with exactly 8 cows > using (a)can truthfully say he has 'more than 5' cows; and using (b) can > truthfully say he has exactly 8 cows. Without the man-made invention of a > number system he could say neither, but that does not mean the invention > cannot be used to describe what is 'out there'. A farmer with 8 cows but no > counting-system would still have 8 cows; this fact is true by virtue of what > is 'out there' irrespective of whether he has the means to express or know > this fact. A farmerless field with exactly 8 cows in it also has 8 cows in > it - no more, no less - irrespective of whether humans or any other creature > have a number system to say so. > >>>> > > > > There's a loophole in this reasoning. When Donal states that "A farmer > with 8 cows but no counting-system would still have 8 cows; this fact is > true by virtue of what is 'out there'", is not the reason why the farmer has > 8 (not 7 or 9) cows that Donal states in the premise that he has that > amount? The appropriate question is not whether the farmer has 8 cows due to > it being so /out there/, but whether the 8 cows appear so /to the farmer/ > (and not to some dislocated, ephemeral theorist outside the practice of > farming). And in order to answer this question the farmer's reportoire of > articulation is highly relevant. > > > > Best, > > Torgeir Fjeld > > Norway > > > > > > ------------------------------------------------------------------ > > To change your Lit-Ideas settings (subscribe/unsub, vacation on/off, > > digest on/off), visit www.andreas.com/faq-lit-ideas.html > > > > > ------------------------------------------------------------------ > To change your Lit-Ideas settings (subscribe/unsub, vacation on/off, > digest on/off), visit www.andreas.com/faq-lit-ideas.html >