Re: The set of all JOKES.....

On Feb 22, 6:03?pm, "charlesweh...@xxxxxxxxxxx"
<charlesweh...@xxxxxxxxxxx> wrote:
On 21 Feb., 21:25, "John Jones" <jonescard...@xxxxxxx> wrote:



Fine. But as I've noted elsewhere, "itself" is not a bona fide set.

"Itself" is not supposed to be a "bony Fido" set.

The story begins with "This is the set of all jokes that does include
itself".

The first of those jokes is
"This is the set of all jokes that does include "This is the set of
all jokes that does include itself". ".

We can call this the BINARY joke.

The next joke is
"This is the set of all jokes that does include "This is the set of
all jokes that does include "This is the set of all jokes that does
include itself". ". ".

This will be the TERNARY joke.

We continue ad nauseam, ad infinitum. This shows that there are
infinite jokes in the original set.

The joke is that you will never be able to stop writing until you
realise that you are eliminating the word "itself" by SUBSTITUTION
with the joke you began with. How many times is that mistake made?
Once (Binary), twice (Ternary) or infinitely?

Going to the binary, we see that it declares itself to be a set. It
can therefore only be a subset of the original joke.

If we make the mistake once, the first joke WITHIN the binary set
appears:

"This is the set of all jokes that does include "This is the set of
all jokes that does include "This is the set of all jokes that does
include "This is the set of all jokes that does include itself". ". ".
".

There are four RESTARTS (beginning with "this") in this joke, and the
next has six. The set of all binary jokes is therefore NON-PRIME, and
has multiples of two.

Similarly, there are N times THREE restarts in the ternary set, where
n is a non-zero integer.

Thus the jokes within the subsets always have a non-prime number of
restarts.

There is only one joke that includes all the primes:

"This is the set of all jokes that does include itself".

Charles Douglas Wehner

Yes, we can never stop the process of substituting for 'itself'. But
the first move was untenable anyway:
Which is 'this' set? And how can you refer to a self-reference
('itself')?

.

Relevant Pages

  • Re: The set of all JOKES.....
    ... The story begins with "This is the set of all jokes that does include ... We continue ad nauseam, ad infinitum. ... There are four RESTARTS in this joke, ... Thus the jokes within the subsets always have a non-prime number of ...
    (sci.logic)
  • Re: The set of all JOKES.....
    ... The story begins with "This is the set of all jokes that does include ... If we make the mistake once, the first joke WITHIN the binary set ... There are four RESTARTS in this joke, ... noun, and the noun is in this context precisely 'J'. ...
    (sci.logic)