Re: Small set theory.


Jesse F. Hughes wrote:
"zuhair" <zaljohar@xxxxxxxxx> writes:

M is a lier <-> ~ M is a truth teller.

What does that mean?

It means you really don't know logic.

No I know what you mean, but I am preparing for something else, other
than this dichotomous logic you and other tranditional people are so
fused about.

You already said that M is a liar iff everything he says is false.

And M is a truth teller iff everything he says is true.

But if someone sometimes says false things and other times true, then
he is neither a liar nor a truth teller.

No, I am preparing for something else, I redefined Lier and truth
teller. stupid.

A truth teller is one who ALWAYS say the truth, a Lier is one who NOT
ALWAYS say the truth. This is more close to reality. Another kind of
logic can be built according to this dichotomy.

The definition of a lier as one always telling lies is not realistic,
in reality is not the negation of the truth teller.

The comparative example of this in set theory is that y={x|x!ex} is a
regular set, indeed it is a hyper-regular set. It is more not in itself
than all other sets.

My informal reasoning is as follows: It is more realistic to me to
measure lie as the proportion of false statements M does. in such a
manner that for every two M(s), M1 and M2 if the proportion of false
statments M1 has is more than the proportion of false statements M2 has
then M1 makes a more lier than M1.

Now it is clear that if we define a lier as M:Es by M ->s is false.,
then it would only be more reasonable to state that the more the
proportion of false statements M make the more M is a lier.
Now if All the statments M makes are lies, then M is more a lier than
if M has some of it's statements as false statments. Accordingly though
when M is a Full lier( ie all of statments made by M are lies) we reach
at a paradox, but since we know that the more proportion of M statments
are lies the more he is lieying, then M should be a lier, such an
extreem lier to the degree of making us wonder weather he can be
honest. in reality the Lier M as defined by M is a lier <-> M:As by M
-> s is false. , this definition only makes M a HYPER lier, i.e. and
extreem lier, the parallel example to this in set theory is like
saying that the set of all sets not in themselfs is a HYPER-REGULAR
set, ie y={x|x!ex} -> y!e!ey. were !e!e means HYPER non membership.

While on the other hand the M who states that " I never lie" , cannot
be ascertened, since M could be a lier as much as it could be a truth
teller. But since not contradiction involved then M exists, but his
state of truth telling is AMBIGOUS.

Perhaps this would lead us to a logic were MEMBERSHIP e is quantified.

In reality I dicovered that in the ulternative set theory that I have
formed, stating the y={x|x!ex} is a set will not affect the consistency
of any theorum that spring from it, so is y={x|xex}, these two sets are
isolated unique sets, that do not bother what is going on in this set
theory. They do not render the theory inconsistent. Even if y={x|x!ex}
is logically inconsistent, yet it is the model which is so, all other
models in this theory are consistent, so it is not a big fuss, that one
particular unique model is inconsisten, as far as all the logical
reasoning is consistent.

IF u see the last version I of the theory that I have posted to this
group, this is the final version I believe, it accepts y={x|x!ex} as a
set.

Zuhair

Jesse F. Hughes
"It is a clear sign that something is very, very, very wrong, as human
beings are, well human. Maybe some people think that mathematicians
are not, but I disagree. They are human beings." -- James S. Harris

.

Relevant Pages

  • Re: Small set theory.
    ... And M is a truth teller iff everything he says is true. ... A truth teller is one who ALWAYS say the truth, a Lier is one who NOT ... The definition of a lier as one always telling lies is not realistic, ...
    (sci.math)
  • Re: I also reported on Tommy Memphis
    ... I gave you all five stars! ... Call me anything but not a lier. ... You want to know "the truth?" ... same as from beginning - Accordion went to Cental Europe last week. ...
    (rec.music.makers.squeezebox)
  • Re: The Light
    ... speaking the truth even when he isnt, and that Randall Hyde is a lier, even when he speaks the truth. ...
    (alt.lang.asm)
  • Why Regularity?
    ... The lier paradox arose from our definition of M as either a lier or a ... truth teller, in the following manner. ... truth teller(the truth teller non paradox), ... should adopt exactly the opposite way, i.e. an axiom of Irregularity. ...
    (sci.math)
  • Re: I also reported on Tommy Memphis
    ... are fabriacted lies stinking on entire Internet. ... For yiuis normal behavior calling somebody a lier ... Cental Europe for free you still called me a lier and dishonest person. ... No accordion is worth such groundless attacks. ...
    (rec.music.makers.squeezebox)