Why should he? He's defined them in http://www.internationalskeptics.com/forums/showpost.php?p=4121353&postcount=418 and that definition is crystal clear. He also proved them to be more powerful than your MAFs. What more do you want? The ball's in your park, to show just one vaguely interesting MAF. But you can't, can you?
Complete non-sequitur.
In fact, I'm not satisfied with jsfisher's EMAF definition #1. He defined an EMAF to be of the form f(A), where f is a function and A is a tuple. I think this needs to be extended to a form I'll call EEMAF.
First of all, using functions is restrictive: for every A, there is only one y such that f(A) = y if f is a function. So I relax this to using relations instead of functions, so my first shot at an EEMAF definition is: anything of the form
R(A, y)
However, when we note that a relation is just a subset of the cartesian product of its domains, we can do even better:
every set S is an EEMAF.
What about that? An EEMAF is a set. Period.
And as EEMAF is clearly, from its construction, a more general notion than EMAF, which again is a more general notion than MAF, everything MAF you can make up is automatically an EEMAF.
MAFs are just sets. What about replacing your notion of MAF with set? Then you indeed have something that is acknowledged to be the basis of much of mathematics.
Wrong ( http://www.internationalskeptics.com/forums/showthread.php?t=114233&page=55 ).
ddt, this is more or less your (in)ability to read and grasp new ideas.
You didn't answer that then, and you haven't answered it now. It's already abundantly clear that you don't have the mathematical knowledge to do so.To get back to that supposed dichotomy - let's take number theory as an example. One of the most important theorems in number theory is the Prime Number Theorem, about the distribution of prime numbers. Do you care to explain us what techniques are used to prove this theorem?
jsfisher,
You have nothing to say about EMAF, isn't it?
No.He also proved them to be more powerful than your MAFs. What more do you want?
No.
His entire framework is the particular case of distinct MAF *__* (notated, in this particular case, as Formulation #1__Formulation #12)
You can judge that? You, who hasn't shown a single proof of himself here?No.ddt said:He also proved them to be more powerful than your MAFs. What more do you want?
His entire framework is the particular case of distinct MAF *__* (notated, in this particular case, as Formulation #1__Formulation #12)
Well, this makes it clear you don't understand EMAF at all.
Be that as it may, is this your answer to the MAF challenge? A simple binary MAF at that, and certainly not a very interesting one, either.
Don't you realize this doesn't even qualify as an MAF? You very specifically defined * to be an element (singular). Formulation #1 _ Formulation #1 would qualify (although it would be nice if you could say something about your underbar relation), but the example you gave doesn't satisfy the very form you laid out.
This is further evidence you don't understand your own notation.
Let us see if you are able to reply to http://www.internationalskeptics.com/forums/showpost.php?p=4119262&postcount=340 .Whenever people note that this or that sentence in his work is wrong, Doron says that that's not what the sentence "really means" and therefore the critic is "unfair" or "misinformed".
That's quite true -- the sentence usually doesn't mean what the critic thinks it means -- but that's only because most of Doron's writings is literally meaningless and doesn't mean anything in particular at all. From the discussion above, it's quite clear that not even Doron knows what he wrote means -- at least, he never managed to explain it in any clear fashion.
This is typical of crank works, and the main reason why the only appropriate reply to them is, as Vergil told Dante, to "speak not to them, but look, and pass them by."
Whenever people note that this or that sentence in his work is wrong, Doron says that that's not what the sentence "really means" and therefore the critic is "unfair" or "misinformed".
That's quite true -- the sentence usually doesn't mean what the critic thinks it means -- but that's only because most of Doron's writings is literally meaningless and doesn't mean anything in particular at all. From the discussion above, it's quite clear that not even Doron knows what he wrote means -- at least, he never managed to explain it in any clear fashion.
This is typical of crank works, and the main reason why the only appropriate reply to them is, as Vergil told Dante, to "speak not to them, but look, and pass them by."
Doron's research associate, Moshe Klein, has given a talk on "Organic Mathematics" in the Fifth International Congress in Applied Mathematics and Computing, August 2008, in Plovdiv, Bulgaria. At least, the PDF here claims so.
Let's disregard that he misspells the name of the conference ("Computation" instead of "Computing"), and that the professor who he claims invited him, Bromi Bainov, is nowhere to be found on the web but shares his last name with organizer Drumi Bainov.
[...]
Or is there something not quite true about the above? I couldn't find a comprehensive program for FICMAC.
Thirdly, it's very interesting to note that this "preliminary" version has a date of Aug. 5, and carries a notice it is the talk at FICMAC and the "right" version of Sept. 28, and does not carry such a notice; while the conference was Aug. 12-18.
To be frank, I'm very wary this paper was accepted at all at the conference. Could someone who has access to such info clear this up? And if it was, tell what the deadline for submission of manuscripts is?
Doron's posts #471 and #472 are both ad-hom attacks on the messenger
Wow, you took the words straight out from my mouth, my little asymmetric-only thinker.
Hmm. Where's that order of corndogs?
I've been waiting patiently...
Hmm. Where's that order of corndogs?
I've been waiting patiently...
They're going into the deep fryer right now. You wanted two, right?
Name one branch of Mathematics that is now isolated from the rest of the body of Mathematics.
jsfisher said:Show us just one interesting MAF (you know, one of those *_*_* type things) that cannot be equally represented as an EMAF.