hagman has the balls to admit it
- From: tommy1729 <tommy1729@xxxxxxxxx>
- Date: Sat, 06 Oct 2007 17:39:37 EDT
hagman wrote:
On 6 Okt., 08:07, JSH <jst...@xxxxxxxxx> wrote:
I think talking about a simple failure in what isusually taught as
logic can give you a sure-fire way to understandhow simple thinking
failures can underpin disagreements with myresearch.
statement which is called
Like consider 1 = 1, a simple tautological
an identity in mathematics, and notice, the equalsign means you have
the same thing on the left of the equals as on theright.
x=y
Even if you have x=y, it must be true that, what?
consider
That is, it must be true that x and y are equal, as
logicians do not have an
1 = 0
as in mathematics that is invalid, but modern
invalid type in standard logic.invalid.
So they might just say that 1=0 is false, not
is false--as it
But the expression is not so much false--though it
fails because it contradicts the use of the equalssign.
through supposed
If you figure that out, you can work your way
paradoxes in logic and figuring that out is what Idid years ago, and
I even posted about it years ago as consider:or malformed.
Logical Formedness Axioms
1. Identical sets are identical.
2. Different sets are different.
3. Statements contradicting axioms 1 or 2 are false
conclusion does not follow
4. A malformed statement is one for which a
given its structure.correct is not
5. A false statement is one that while structurally
true.http://mymath.blogspot.com/2005/05/logical-formedness
See:
-axioms.html
necessarily you are
It turns out that if you accept those axioms then
accepting the equals means equal.the US is that equal
I think maybe part of the problem with people in
can mean just about anything, like note that theFounding Fathers said
"all men are created equal" and had slaves!the failure in
Sardonic humor aside I think that for most people
understanding such trivial logic is what I call atwo-step failure
which has to do with how their brains processinformation, as it LOSES
pieces of information in trying to move from notingthat equals means
equal, and realizing that as a necessity.2. above. But to
As consider the suppose paradoxical statement:
Consider a set of all sets that exclude themselves.
That is a malformed statement as it violates 1. and
know that you have to hold a certain amount ofinformation in your
mind, sort of in the working space you might say ofyour brain.
your mental wiring
If you lack the mental capacity to do that then
prevents you from comprehending that reality.all the info:
Let me explain in detail and see if you can hold in
exist as it needs to
A set of all sets that exclude themselves cannot
include itself, but if it includes itself itexcludes itself, so the
statement is malformed, as a set cannot include andexclude itself.
Such a set X (if it existed) would have the property
that YeX if and only if ~YeY.
We might give this property a name and say that X is
Russel-ish.
You seem to have grasped the proof that Russel-ish
sets do not exist.
ahh hagman is a nobel man who has the balls to admit JSH grasped something.
respect hagman.
especially considering JSH reputation , it shows guts and honesty to admit he grasped something.
i would like to add that certain criticism in this tread is rather a misunderstanding of JSH thoughts.
or perhaps pure hatred towards him because of his other treads.
and with reason... however this time he seems to have a point.
i said a point , not a big discovery.
i agree on his " logical formdness axioms "
it is ironic that despite his logic usually is very weak and inconsistant, for this single time he is thinking rationally ; he really hit the spot on the weakness of logic and set theory.
despite his axioms written in "plain english" rather than symbols or standard definitions , they are consistant and usefull.
perhaps comparable to occams razor more or less.
JSH ideas about logic and paradox are consistant with TST
(TST = Tommy Set theory)
in fact i used similar arguments once.
note:
equal = equals
a = b
it needs to be noted that this equal or equals needs to be viewed from the correct perspective...
let a and b be objects
assume they have the same mass.
then a=b and b=a and equal = equals
( consistant with JSH and TST )
however that does not mean a IS b
since they might differ in size , charge , speed etc
and a and b might be 2 different object despite all parameters being the same.
2 apples are both apples , but not the same apple , not even if they have the same shape , weight etc.
keeping this in mind when you read the 5 axioms might lead to a better understanding of logic or at least what many critics are actually saying.
i am usually not a fan of JSH but the awfull state of cantorian set theory and its associated logic is even correctly grasped by JSH.
and partly admitted by hagman.
the liar paradox and aleph_3 are really inconsistant bogus.
even an amateur like JSH can grasp the correct critic of russel and kronecker.
TST is the alternative.
(snip misunderstandings)
regards
tommy1729
.
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