non-commutativity in the brain
khanly at mb.sympatico.ca
Tue Apr 4 11:33:41 PDT 2000
My example is not strictly appropriate.
Actually, "is the sister of" is a relation and the property
at issue, being symmetrical rather than commutativity.
However, "is the sister of" is non-symmmetrical (rather than
non-commutative.) Sometimes when x is the sister or y, y is
the sister of x, and sometimes not. If the relation were
symmetrical then if x were the sister of y then y would be
the sister of x.On one interpretation of " x and y are
sisters" it implies that if x is the sister of y then y is
the sister of x since it means that x is a sister of y and y
is a sister of x. That may have been what you were thinking
or alternatively x is the sibling of y is symmetrical.
Cheers, Ken Hanly
Martin Schiller wrote:
> Ken Hanly said on 4/3/00 8:08 PM
> >I think so: Joan is the sister of John but John is not the
> >sister of Joan.
> >No? Must John be a transsexual?
> Probably a non-commutative experience - or I've forgotten about sex.
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