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Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Posted:
Oct 6, 2012 5:09 PM
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On Oct 7, 12:11 am, "Mike Terry"
<news.dead.person.sto...@darjeeling.plus.com> wrote:
> "Curt Welch" <c...@kcwc.com> wrote in message
>
> > "Mike Delanis" <inva...@invalid.com> wrote:
> > > "Graham Cooper" <grahamcoop...@gmail.com> wrote in message
> > >news:f76717da-e106-4b58-829b-b8531bff5faa@q9g2000pbo.googlegroups.com...
>
> > > > 20 goto 10
>
> > > interpreter BASIC ............. you must be 60 years old.
>
> > My first access to computers was with an interpreted basic system in the
> > early 1970's. Odd that when I first read your comment about being 60 it
> > seemed way too high. But them I remembered I'm 56 soon, so 60 really is
> > about right. Odd that I don't feel anything like "60". I think that's
> > because I started to ignore my age once I hit 50 so I still feel like I'm
> > in my 40's. :)
>
> The question shouldn't be "When did you *first* use interpreted basic?". It
> should be "When might someone reasonably *last* have used it?" I recall
> using line-numbered basic at work in the late 1980s, so 60 is way to high as
> you first thought.
>
> Mike.
A THEORY *should* have line numbers.
A Syntactic Formula Enumeration
F0001 X
F0002 X=X
F0003 E(X) X=X
F0004 A(x) X=X
F0005 X^Y
F0006 X^Y->X
A subset of which is sifted into Theoremhood!
F0001 ------- X
F0002 ------ X=X
F0003 T0001 E(X) X=X
F0004 T0002 A(X) X=X
F0005 ------- X^Y
F0006 ------- X^Y->X
F0007 T0003 A(X) X^Y->X
...
Herc
--
LOGIC
E(Y) Y={x|P(x)} <-> DERIVE( E(Y) Y={x|P(x)} )
DERIVE(T) <-> DERIVE(a) ^ DERIVE(b) ^ (a^b)->T
MATHEMATICS
E(Y) Y={x|P(x)} <-> PRVBLE( E(Y) Y={x|P(x)} )
PRVBLE(T) <-> NOT(DERIVE(NOT(T)))
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