C8.MATHtheocep

maybe the same file as file C8.MATH

file c8.math.theocep

Updated 9:55 am August 17, 1994

8:51 am March 23, 1993/ 8:35 am May 12, 1992 8:22 am March 31, 1992/10:28 am Jan 20, 1992

nov 27 1987 / 11:06 am Oct 22, 1991

Chapter 8

The mathematics of the identity theory

Topics to be covered:

Numerical representation of the physipath

Numerical representation of the mentapath and other paths

Defining theocepts, mentacepts, Itocepts, physicepts,awarecepts

Representation of the physipath as a theocept

Representation of the mentapath as a theocept and other paths

Converting theocepts into numbers

The combining of theocepts

The combining of mentacepts awarecepts physicepts itocepts

Encoding information into a number like pi

Simplifying the storage of numbers

There are many different ways to represent a physipath as a Theocept. What may or may not need to be represented in a theocept depends on many things. One of these things is what the use of the physipath is. It can hold the bare minimum of information or it can include an infinite amount of information. That information can be represented in an infinite amount of transformable ways.

The study of theocepts is a hole new area of mathematics to understand it completely takes more room than this book has.

The theocept can be larger than a real infinite dimensional matrix each point on the this matrix is a reference point. At that point can be a number, word, process, theocept or any number of other things, In fact, it is a reference point to any thing. On the real number line there is a numerical reference to every point on the line. So there is the point that is called 1 and the point that is called 2 and there are points all the way out to infinity they are also the negative points -1,-2,-3,... to negative infinity. In between each point there are an infinite amount of points such as 1/2, 1/3, 1/4, ...1/n where n goes to infinity. Between these two points there are an infinite amount of points. All these numbers can be represented by decimals that are infinitely long. 1 can be represented by 1.000...any sequence of numbers can be put into this line such .09876543210987654321 ... There are at least an infinite amount of infinities in a real infinite. There are an infinite amount of infinities that are infinitely larger than the previous one.

The reason that a theocept must be so infinitely large is that it must have the power to represent every thing because it is an epistemological concept or symbol, which means that it must have the power to represent all knowledge in one theocept.

A theocept can be represented by the infinite that is needed to contain the information that it needs.

A finite theocept with finite dimensions is called a finicept and is shortened to the letter f.

A naturally infinite theocept is a ninfincept

A real infinite theocept is a rinfincept

Finmentional uses a finite amount of dimensions to represent the information in the theocept.

Ninmentional uses a natural infinite amount of dimensions to represent the theocept.

Rinmensional used a real infinite amount of dimensions to represent the theocept.

Within each dimension it can contain different amounts of information or points. There can be no points on that dimension or there can be one, a finite amount, and then the different infinite amounts. An infinitely reducible theocept is one that can be reduced from and infinite one to a finite one where there is finite dimensions and finite information.

If at each point there is a digit of the number pi it will produce a rinfincept but the information can be produced by way of algorithms that can be in the form of finite instructions.

Inreceptable the process or ability to reduce to a finicept.

Finicepts that can reduce infinicepts are call useful! They are simplying finicepts or simfinicepts. The creating finding and using of Simfinicepts are what mathematical epistemology is all about.

How can we possibly deal with theocepts that are so infinitely complex? Through epistemological mathematics. This means using every trick of analysis and synthesis that we can derive. Knowledge is the organization and manipulation of knowledge. We can deal with complex systems with complex systems. We do not always have to analyze or understand these complex systems to use them. A very complex system is a plant. We use it without a full understanding of it. We use then to produce food and beauty for us. By analyzing them we can change them to serve other purposes.

By being able to break a structure into its parts we can make changes to it. So that it can do other things. In the same way we can produce complex systems that can deal with complex theocepts. We also use theocepts to manipulate theocepts.

We are more than just servers of our own needs by our goals we need to preserve knowledge so that we can do more than help ourselves.

How can a theocept represent a picture? It can do it in many ways. It can refer to other theocepts where this picture is a part. It can also define points where

The theocept is also a functional device because it can do things to itself with in itself like a body. It can also record what it does and it can have a memory of the past and its past.

The theocept is almost as if it were alive because it can have any type of quality that applies to itself. What does this mean? It means that it can self manipulate itself, change over dimensions etc. There can be rules that apply to parts that change it. This is due to the fact that it can represent anything and many things apply all sort of feedback knowledge mechisms to itself. There are all sort of knowledge structures that exist. This is what the science of epistemology does it studies knowledge structures mathematically.

Numerical representation of self

The number pi is a specific unique number like 1 or 2. Pi, however, when represented in exact numerical form is infinite in length. 3.14 are the first three digits of pi. 3.1415927 are the first 8 digits of pi. Neither are exact but for every day use, like figuring the area of a circle given the radius, they are accurate enough. There are more numbers like pi than any other type of number. This kind of number is called irrational. Rational numbers are numbers that can be represented by a fraction. 1,2, 3, etc. are rational because they can be represented by fractions like 1/1, 2/1, 3/1 etc. 1/3 is a fraction and consequently rational but when it is divided out it becomes .3333... an infinitely long number like pi. The difference is that 1/3 when divided out has an infinitely repeating sequence of 3's pi does not have any infinitely repeating sequence. 1/7 divided out is 142857142857... the infinitely repeating part is 142857. Even the numbers 1, 2, 3, ... when put in fractional form and divided out have an infinitely repeating sequence. For example, 1 is the same as 1.0000... the infinitely repeating part in 0.

The process (or algorithm) of division, by its very nature makes repeating decimals. To generate the number pi we use a different algorithm. The algorithm for the irrational number e is e = limit as n goes to infinity of (1+ 1/1! +1/2! +1/3!+ ... + 1/n!).

So much information can be stored on a single number that a person's mentapath converted into a unique number would only take a finite part of a transcendental or irrational number in fact a fraction could hold the same information but the two parts of the fraction could be very long.

The point is that an infinite amount of information can be conveyed using irrational numbers. There are an infinite amount of irrational numbers and many can be easily represented using addition subtraction multiplication and division with known irrational numbers. such as the numbers 2 times pi, pi/7, pi + e, and pi/2 - 7.

To get the number pi we can look it up in the dictionary to the last published digit but each digit after that has to be algorithmically created through a process that can be very difficult and time consuming. It may be difficult to generate a number but it can be simple to represent them. There are however many different algorithms to generate and my guess is that there are as many number generating algorithms or more than numbers. There can be number or digit generating algorithms that are very easy in the beginning and get rapidly more complicated as the number gets longer and longer. On the other had there are algorithms that are more difficult in the beginning but are simpler relative to other algorithms as they proceed to each successive digit. These algorithms can generate individual digits or many digits.

The identity theory gives everyone a reason to work for the future of mankind because he is not just doing it for others he is doing it for himself and his consciousness's future If we had an exact copy of

The Materialist conception of a soul --- according to the identity theory of the mind.

Advantages of a materialist (scientific) theory of the soul over a religious theory of the soul.

Disadvantages of a

The essence of ourselves is supposed to be inside our bodies So that when we die if our bodies or frozen and then reanimated will this body have or produce the same mentapath? It seems that some functions will be lost or memories the ones that are not deeply based

The mentapathic struggle. Some mentapaths do not care if they ever exist again, and then there are others that a times do not care if they ever exist again or even exist now. These mentapaths do not have to be crazy or suicidal to be this way. For some of these mentapaths the thought of death is like the thought of sleep to a tired person. To others death is nothing so there is nothing to be afraid of. To yet another group of mentapaths, they are not afraid of death what ever it might entail. There are types of mentapaths that want to control their reality as much as possible. They do this in many ways one is through power. Another is money.

We will now consider the alternates to the identity theory of consciousness that could be and are based on science.

First that an identically functioning body does not produce the same consciousness. It has already been established that all perceivable behavior and motion will be the same. The prediction of the identity theory is that the consciousness will be the same. There are two alternates to this hypothesis first that one of the two will not have consciousness and the second more general is that they do not have the same mind. Some would argue that there is no way to objectively see if the two have the same consciousness because their consciousness are subjective and are not within the realm of objective study.

One of the major questions of the identity theory is how rapidly do consciousnesses diverge as the identical functioning of the bodies diverge? Is there only one spot on a physifield continuum that will converge to a specific spot on a mentafield continuum? It would seem that there would be many possible mappings from mentaspots to different physispots. But how about mappings from mentafields to physifields. There are many physipaths that would map to the null mentapath. This means there are many things that have no mentapaths such as a rock. How many mappings are there to one mentapath from physipaths. In other words how many different physipaths can phings. And we do not want to restrict certain mentapath just because they have the possibility of suffering. There is always going to be the person that cares only about himself at this time and place, but there will always be other mentapaths, because of their differences that care about his mentapath because his mentapath is in the realm of concern of their mentapaths.

There are always those that believe that we should care for all people. In my case I believe in concern for all mentapaths, though I may not want them all to exist in the same level of reality that I do. This means that they can exist in experience machines. The reason that I may not want all mentapaths to exist in my reality is that they may have no concern for my welfare and in fact may have as a goal the elimination of me. Or to make me suffer or to change may mentapath in such a way that I would not like. In fact, I might consider that he is changing my mentapath or should I say that he is changing my body to produce another or different mentapath.

Four dimensional vision would be tieing the vision of a mentapath in the future or the past with the vision of a mentapath of the present. This would be like the effect we get when we have two eyes that are a distance apart the two get a slightly different view but the brain has to process the different views into a sterographic view. Of course, the same thing could be done for other and higher dimensions. The key to it is haw the brain processes the information. This might be easiest done by a experience machine. What it would seem like who knows. the wider apart the two mentapaths. There is also the concept of one mentapath that is processing two mentapaths at a time. This could apply to more than two mentapaths at a time. What would the resulting mentapath be like?

Some people might say that mentapaths are so complex that we will never be able to deal with them. So, why try? I can give many reasons why. One is that it is there and it is a challenge. It is also a way to tie people together more than any other philosophical or religious system I can think of. Religions tie people together but it puts all the power and creativity in the hands of the religious leaders. They are the ones that decide what god is and what he wants, but in fact, it is what the religious leaders want not what god wants. Each person is a processor and he processes the information around him. Religious people process the information in such a way that they are religious. Others are not so sure but go along with the crowd. There are still other people that ask why and they often suffer for it because there are many people that do not want change. In fact, as we get older we can look fondly at the past maybe we are scared of the future because it holds death and the unknown. So we look happily back at our past, if it was happy, even if it wasn't at least we survived it. Our early life can contain many happy times when we did not have to worry about the future and what we wanted to achieve. In our present few of us have achieved the things that we thought we could achieve when we were young.

AC[name] this is an awarecept for the name in parenthesis

MC[name] this is a mentacept for the name in parenthesis

PC[name] This is a physicept for the name is parenthesis

IC[name] this is a itocept for the name in parenthesis.

If we put indices we can include a time limits for these theocepts. Other information can be included in other ways

We can also represent the paths as such.

AP[name] MP[name] PP[name]

IP[name]

Glossary mathematics of ITOC

Itocept is a theocept that is a combination of the awarecept mentacept and physicept.

Awarecept is the theocept representation of a awarepath.

Mentacept is the theocept representation of a mentapath.

Physicept is the theocept representation of a physipath.