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Topic: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Replies: 39   Last Post: Oct 14, 2012 11:56 PM

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Graham Cooper

Posts: 4,348
Registered: 5/20/10
If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Posted: Oct 5, 2012 3:59 AM
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Formal Theory means all sentences in the Theory are systematically
enumerated.

ZFC is NOT a formal Theory!

There is no method given to distinguish between theorems and predicate
calculus formulas.

X=X is a formula.
!(X=X) is a formula.
E(X) !(X=X) is a formula.

XeX is a formula
!(XeX) is a formula
XeY is a formula
XeY <-> !(XeX) is a formula
A(X) XeY <-> !(XeX) is a formula
E(Y)A(X) XeY <-> !(XeX) is a formula

there are many, many wrong formulas in Predicate Calculus.

Predicate Calculus is just the SYNTAX CHECKER.

10 prnt "hello"

SYNTAX ERROR

10 print "hello"
20 goto 10

does not guarantee a WFF. (program)

You have NO WAY of enumerating Theorems!

Herc


Date Subject Author
10/5/12
Read If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/5/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Frederick Williams
10/7/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Charlie-Boo
10/5/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/5/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Frederick Williams
10/5/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/7/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/8/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/9/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/11/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/12/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/12/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/12/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
camgirls@hush.com
10/12/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Richard Tobin
10/12/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
camgirls@hush.com
10/13/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
george
10/13/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/14/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
george
10/13/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/13/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
george
10/13/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
george
10/13/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/14/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/14/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/14/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper
10/5/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Scott Berg
10/5/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Curt Welch
10/6/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Mike Terry
10/6/12
Read Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Graham Cooper

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