Deeper than primes

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Originally Posted by Apathia
Will a person using your Organic Numbers to account for the different levels of "cardinality." necessarily be regarding people as more than just elements of the reckoning?

Yes, please read very carefully pages 6-7 of http://www.scribd.com/doc/17039028/OMDP after you understood pages 1-6.

You do not have to intellectually know how to breath in order to breath, but if you have also an intellectual knowledge about breathing you can improve it.

Furthermore, we can avoid problems that may cause harm to our ability to breath.

It seems you are saying that if people use a math that calculates all levels of grouping and organization at the same sitting and have the correct view of mathematical infinity, they will see and relate to each other as persons rather than numbers on a tally.

I don't think I'll be able to communicate to you the disconnects that are present there and why that does not follow.

Your aim is to encourage the "Non-Local" aspect of interpersonal and communal relationship.
That's where people relate to each other as "You" or "We" as opposed to 'It" objects, numbers, or elements of mathematical discourse.
That's the kind of Direct Perception where I encounter you, not as a collection (an incomplete one) of cardinalities, but as the Front and Center, independent of any class or agenda. This is the source of our ethical regard for each other.

I see that you have the ethical goal to free us from classifications and discriminations that separate us into warring camps. When the census is taken of all Israeli citizens and the number tallied, you want to say, "No, Wrong! Organic Mathematics has not been used. The Palestinians have not been included in the counting. Their level in the whole organism has not been acknowledged."
For you Organic Mathematics is the way to acknowledge that we are all of one organism.

It's of course a noble sentiment. And maybe it's a teaching moment if you make the census takers tally the results of all levels or organization in the population. Actually without OM, we do, at least in the USA, make a complex demographic of the population that includes the figures for both citizens and
non-citizen residents. Even acknowledging the complex demographic, we still have bigots who make of those different "levels" separation.

Again OM is your structure for acknowledging that all of us belong.
We stand non-local to any particular class or group.
That's you intent.
And you assert that by doing OM arithmetic, one will naturally see the other in Non-Locality.

Would that it were that easy, just getting the beads counted for all levels of complexity. Somehow you must be able to relate to the person before you as greater than a bead.

It seems to me that your OM is your attempt to express this intent in regard to mathematical manipulations. But the root of the intent is a deeper Direct Perception than what you are presenting.

Back to the analogy of the slitted spectacles:
We can't see the reality of the whole Set, because we only see through the narrow slit that gives us a narrow selection.
You present a wider "researchability," a more complex system of slits, an 'improved" pair of glasses and the "Direct Perception" they are supposed to give.

Pardon, but the glasses have to be taken off so that we no longer "see through a glass darkly, but see face to face." (Christian Bible 1 Cor. Chapter 13)

This is a poor analogy, but my point is that though a person is, and can be counted as a member of a specific race, we seek to acknowledge her as primarily her own person.
She may be Asian. The cure to discrimination is not saying everyone is non-locally Asian. It's a better turn of phrase to say that we are all part of the same organism. But the root of the Non-Locality that is the source of ethical regard is that she stands in her own light as a person, not an instance of a class or a number.

People get to that Direct Perception in many ways other than doing Organic Math (if doing it were an actuality)
There are many different religious and ideological structures in which people pursue that goal of ultimate respect.
And some people, actually a lot of people confuse their intellectual structures for that Vision. For example, they can’t see how individual humans could have dignity apart from religious belief in God.
But just the belief in God alone, doesn't insure the Vision and the Dignity. (It more often does quite the opposite.)

My point: Just the intellectual structure of Organic Numbers alone doesn't provide that Vision and Dignity we need to survive. Cardinality, even Doron Cardinality is still about quantities of existence rather than "souls" [disclaimer: not talking about metaphysical souls].
You may be engaging a respect for persons when you write up your new mathematics, but most others don’t make the connection.
Meanwhile, though they have no idea what your "Cardinality" means to you, they enter into relationships where “soul,” not cardinality, is what matters.

It's deeper than the language that's used.

Perhaps you want to say that your new mathematical language better serves and facilitates Dignity, Empathy, and Compassion.
At the least I hope you are finding it serviceable for your own interpersonal growth.
 
What? Doron has been bombing all over this thread and the entire internet for that mater with his OM? OM simply seems most and only effective at blowing itself to pieces.
Touché. :)

There must be a Monty Python reference in there - something from Life of Brian with the Jewish Liberation Front...
 
Please read this:

Originally Posted by doronshadmi
Thank you Apathia, you have fine view.

Let me add some details:

By using Direct Perception I show that from one hand Standard Math does not ignore Complexity in order to distinguish between
S members (S={ {{}}, {{a}}, {{a,b}}, {{b}}, ... , {{a,b,c,...}}, ...}), and on the other hand it ignores Complexity when Cardinality is measured.

For more details, please see http://www.internationalskeptics.com/forums/showpost.php...postcount=5578 and http://www.internationalskeptics.com/forums/showpost.php...postcount=5603.

By OM we simply aware of these facts and do our best in order to not be based on hidden assumptions that may lead us to wrong generalizations.

Yup, what I said.
And by whatever means let's agknowledge that we are first of all persons in our own light before we are grouped into this or that class or collection subject to addition into a cardinal number.
 
Apathia said:
You may be engaging a respect for persons when you write up your new mathematics, but most others don’t make the connection.
Meanwhile, though they have no idea what your "Cardinality" means to you, they enter into relationships where “soul,” not cardinality, is what matters.
What you call soul is exactly what enables Complexity, and no Cardinality, including my extension of this concept, can capture Complexity, and I clearly showed it by this example:

Here are some examples of existing things that have cardinality x:

|{{}}|=1

|{{{}}}|=|{{},{}}|=1+1=2

|{{},{{}}}|=|{{{{}}}}|=1+1+1=3

We immediately realize that Cardinality is the measurement unit of the existence of things, but it is not fine enough in order to distinguish between the details of Complexities.

Apathia said:
It's deeper than the language that's used.
Direct Perception (abstract or not) stands at the basis of any language.
 
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What you call soul is exactly what enables Complexity, and no Cardinality, including my extension of this concept, can capture Complexity, and I clearly showed it by this example:

Here are some examples of existing things that have cardinality x:

|{{}}|=1

|{{{}}}|=|{{},{}}|=1+1=2

|{{},{{}}}|=|{{{{}}}}|=1+1+1=3

We immediately realize that Cardinality is the measurement unit of the existence of things, but it is not fine enough in order to distinguish between the details of Complexities.


Direct Perception (abstract or not) stands at the basis of any language.

:D

Then you are able to take the spectacles off from time to time and see The Source.
Sometimes it's too bright for our eyes that have grown accustomed to our dimly lit "Researchability." So our eyes, hurt with the squinting and we quickly put our rational shades back on.
But it's good the Light is so bright.
It can shine through lots of different kinds of intellectual spectacles and remind us that we can be free.
 
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Now that we are well outside Doron's window for massive editing of his post, I'll point out this: Even under your ill-defined "extension" to cardinality, |{ {}, {} }| is 1, not 2.

I am talking here about collection's existence, where uncertainty or redundancy are not ignored.
 
Now that we are well outside Doron's window for massive editing of his post, I'll point out this: Even under your ill-defined "extension" to cardinality, |{ {}, {} }| is 1, not 2.

I am talking here about collection's existence, where uncertainty or redundancy are not ignored.

Huh? What's the relevance to jsfisher's observation? Is in your universe the set { {}, {} } any different from { {} } ?
 
So, under your bizarre rules, what is the cardinality of the following:

{{2}}

{{{2}}}

If only sets are allowed the 2 = {{},{{}}}.

In this case we have:

|{{{{},{{}}}}}|=1+1+1+1+1=5

|{{{{{},{{}}}}}}|=1+1+1+1+1+1=6

If ur-elments are allowed then:

|{{2}}|=1+1=2

|{{{2}}}|=1+1+1=2

A bizarre rule is exactly Cardinality that is based only on the first level of the existence of things and it is considered as a general case of them, for example:

|{{2}}|=1

|{{{2}}}|=1
 
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Huh? What's the relevance to jsfisher's observation? Is in your universe the set { {}, {} } any different from { {} } ?

At OM we observe collection's existence, and by this obseravion {{},{}} is not {{}}.
 
At OM we observe collection's existence, and by this obseravion {{},{}} is not {{}}.

(bolding mine - still haven't come around to install a spell checker?)

In both cases, {} is right there as a member of the whole set. How often you list it - once, twice, hundred times - is not of importance, and has never been in set theory. When you list it at least once, it exists. So that's no excuse. Try again.
 
Complexity is only the result of the Hokey Pokey Theory of Everything and awareness is an integral part of that complexity, otherwise someone would be shaking it all about when they are suppose to be turning themselves around. It is clear that you lack the dance perception required to comprehend the fundamental nature of the Hokey Pokey. Some dance perception training would be in order as you use the HPTE in your daily life but are not aware of it.

Ah, well, that explains it.

You've got the crank's language down pat.

I fear for your sanity.
 
Ah, well, that explains it.

You've got the crank's language down pat.

I fear for your sanity.

Yeah, sometimes it's like a horror story here.

The_Man, just roll your sanity check. If you fail, you lose 1d6 sanity points. :D
 
(bolding mine - still haven't come around to install a spell checker?)

In both cases, {} is right there as a member of the whole set. How often you list it - once, twice, hundred times - is not of importance, and has never been in set theory. When you list it at least once, it exists. So that's no excuse. Try again.

Once more we have here the crank's fascination with notation over substance -- namely, the belief that if you write down a member of a set seventeen times inside the curly brackets, it somehow makes it a different set than the one represented by writing the member only once.

Doron, in other words, doesn't understand the meaning of the "{}" notation, or the inclusion relation, or the axiom of extensionality. Yet he claims to have re-axiomatized set theory in the "correct" way, go figure.
 
:D

Then you are able to take the spectacles off from time to time and see The Source.
Sometimes it's too bright for our eyes that have grown accustomed to our dimly lit "Researchability." So our eyes, hurt with the squinting and we quickly put our rational shades back on.
But it's good the Light is so bright.
It can shine through lots of different kinds of intellectual spectacles and remind us that we can be free.
By OM we are living is an open system that is non-etropic by nature exactly because no collection of localities is non-locality.

Let us demonstrate this openness by the place value structure.

Jsfisher argued that 1 is not a member of the non-finite set {0.9, 0.99, 0.999, 0.9999, …} because each member is a finite case.

On the contrary jsfisher argued that 0.999… = 1 exactly because 0.999… is an infinite case, and this case is not a member of the set of infinitely many finite cases shown above.

But there is no problem to show that 0.999… is the result of a long addition, where each value of this long addition is finite, for example:

0.999… = 0.9+0.09+0.009+…

So there is no problem to define a 1-1 mapping as follows:

0.9 <--> 0.9
0.09 <--> 0.99
0.009 <--> 0.999

….

And we can see that there is no difference between {0.9, 0.99, 0.999, 0.9999. …} and 0.999… = 0.9+0.09+0.009+… . Both of them have nothing to do with 1.

Furthermore, + is exactly the non-locality that cannot be covered by any amount of infinite localities, and permanently prevents from these localities to be number 1.

It can rigorously be shown by Direct Perception, and in this example we shell use 0.111…[base 2]:

GreenPlus.jpg


As you see, there is always an uncovered non-locality (marked by green +) between some local value of the long addition 0.1+0.01+0.001+… , and value 1.
 
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