I've Eliminated 'irrational' numbers
Glen M. Sizemore
gmsizemore2 at yahoo.com
Thu Apr 22 11:48:06 EST 2004
Norman: You might as well also question the existence of "learned mental
constructs" as honor, integrity, loyalty, etc. We humans live in an
intellectual world of ideas which transcend the physical reality of
the spatial/material/energy world our bodies inhabit.
GS: OK. "Learned mental constructs" exist only in the sense that the
behavior they are said to explain "exists" or, at least, occurs. What exists
is operant stimulus control and the inter-related processes of
discrimination and generalization. These behavioral processes are, no doubt,
mediated by physiology, but in as yet unknown ways. So, it would be more
correct to say that what exists is a physiology that results in what we call
behavioral processes that are modulated by exposure to past and current
environments. "Constructs" exist "in" behavior, not in the brain or alleged
mind. Another way of saying this is that "mental constructs" is a
scientifically useless term.
Needless to say, I'm not endorsing anything Ken says.
"r norman" <rsn_ at _comcast.net> wrote in message
news:dsdf80tjeiannajhrgjd915gbulna9ep70 at 4ax.com...
> On Thu, 22 Apr 2004 06:23:29 GMT, "ken" <kpaulc@[remove]earthlink.net>
> >"mat" <mats_trash at hotmail.com> wrote in message
> >news:43525ce3.0404211624.1750cf8b at posting.google.com...
> >> > 11. It does this be-cause when A and B go-
> >> > Irrational, they balence each other =Exactly=!
> >> > ...
> >> > "Bye-bye, 'Irrationals'.
> >> So do irrational numbers exist or not?
> >"Number", itself, is, 100%, a learned mental
> >construct, so all sub-forms of "Number are
> >also learned mental constructs.
> >The closest "Number" gets to being physical-
> >ly-real is in "counting", but, since no two phys-
> >ical entities are Identical, "counting" is also
> >a learned mental construct.
> >So, in what way do "learned mental constructs"
> Ken, if you really want to go philosophizing about mathematics and
> reality, you should learn some mathematics and its foundations.
> Leopold Kronecker (1823-1891) said "God created the integers, all else
> is the work of man." You are about a century and a half too late with
> this notion which is well known and well discussed in discussions of
> number theory, set theory, the nature of continuity, and especially
> history and philosophy of mathematics. The nature and existence of
> mathematical notions of imaginary numbers, non-Euclidean geometries,
> hierarchies of infinities and the like is well known.
> You might as well also question the existence of "learned mental
> constructs" as honor, integrity, loyalty, etc. We humans live in an
> intellectual world of ideas which transcend the physical reality of
> the spatial/material/energy world our bodies inhabit. Every
> introductory philosophy student is confronted with the question "what
> is reality". Most get over it.
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