Make your own free website on Tripod.com

SUB-INDEX

Part 1. A Boolean Universe

A world of pure yes/no, is/is not, and here/not heres.

Part 2. Communication Tools
Man refines the boolean universe in order to communicate.

Part 3. Visual Perception
The geometry of what our eye actually "sees"

Part 4. Mathematical Insanity
The process of turning imaginary lines into our 3D universe.



BOOLEAN EXISTANCE

Definition of boolean: "A mathematical system originally devised for the analysis of symbolic logic in which all variables have the value of either zero or one. Widely used in digital computers." (New world dictionary)

When that same concept is applied to words, rather than numbers, then the concept refers to two totally opposite possibilities. Such as yes or no (with no maybe’s in between); or up or down, (with no angular alternatives in between).

Let us examine what our current existence would involve if we think in boolean terms.

Time and Space

In boolean terms an object is either "here" or "not here" (there). Time is either "now" or "not now" (then).

Me

That which is here and now is the consciousness we recognized as "me". In boolean terms a thing is either "me" or "not me" (him/her/they or it).

Existence

Every me is a unique part of "existence" which exists within it’s own unique and specific here and now. It is physically impossible for two different physical me to exist in exactly the same here and now.

Each me has the ability to organize personal thoughts about both physical and emotional relationships between me and many different they and in both the now and then.

Society

A social group is an expanded me. Because it includes many separate me components, sharing a common proximity of here and now, it is necessary that an attempt be made to harmonize the activity of the group. A system of communication must therefore be developed in order to coordinate the continued harmonious activity of the society.

DIMENSIONS, STANDARD UNITS, AND RATIOS

The system of communication required that the boolean system of comparisons be refined so that general agreement could be reached about who would do what where and when. Five tools were therefore created by man to refine the boolean system of measurements.

1. Distance

The first tool was a measuring stick on which two different marks were placed. It was agreed that the word "space" would be used to refer to the separation distance between those two marks, and that that the space between the marks would be accepted by all as the basic unit of "distance" within space.. Whenever the tool was used to compare different amounts of space, that resultant ratio would be called a "linear dimension".

2. Ratios and Numbers

Based on a boolean system of measurement, there are only two possible comparisons of length. A distance must be either exactly one standard unit, or else it is not one standard unit. Carrying that one step farther, in boolean terms if a distance is first determined to be unequal to one standard unit, then that distance must be either greater or else it is less than one standard unit.

The next obvious question is, ‘if the distance is not equal to the standard unit, then how much greater or smaller is that distance from the standard unit. If the response ‘a whole lot more or less than the standard does not satisfy, then the boolean system is no longer adequate to satisfy our purposes of comparison. Because of the creation of the concept of dimensions and standard units of comparison, the boolean system of comparison needed to be refined.

And so the concept of ratios and numbers was invented. Each number represents a specific ratio between the specific distance of interest and the pre-established unitary standard value for distance.

A series of sounds (or words) was agreed upon to be used when it was desired to compare the ratios of any group of similar objects against the size of the agreed upon unit value. The sounds included in that sequence of ratios would be named a sequence of "numbers". We currently use the sequence of sounds ‘one, two, three, …. etc’ as that sequence of ratios which we call numbers.

3. Time

The next tool was a mechanical device on which a moving hand would rotate. The tool was given the name "clock". Identical copies of the mechanism were provided so that the rotating hands on all the clocks were always in the same angular position during all nows and thens.

The word "time" was created to identify the location of the hand on the clock. Specific Amounts of motion of the hand of the clock were referred to as unit values of time, such as one minute, one hour, or one day. And any comparison of other ratio of other values of time to those units was defined as the "dimension" of time. That dimension could be defined either by the "angular" position of the hand, or by the location of the outer end of the hand relative to a fixed "face" of the clock. To simplify communication difficulties, numbers were then assigned for various possible locations of the hands of the clock relative to the face of the clock.

4. Motion

The word "motion" was then created to enable the members of society to communicate about changes in the relative location of objects (the here and there of the me and they) when the hand of the clock moved from one position to another (between the now to then) during sequential observations of the objects..

5. Force

Society recognized that an effort was required to change the current (now) motion associated with any part of existence. The amount of effort associated with that change in motion was given the name "force". Society needed to be able to communicate about the relative amount of force, so they agreed to select the amount of effort required to lift one specific object and called that one unit of force. Any other force could then be discussed in terms of a ratio to the amount of force required to lift the pre-specified item, and that ratio was called the "dimension of force".

MATHEMATICS

After the system of numbers had been in use for eons of time, society tended to forget that numbers are meaningless words which represent a ratio of comparison between one specific observational factor and an accepted standard unit measurement for that same identical type of "dimension".

The numbers used to identify such ratios are only empty sounds. But after repeated usage, the ratios were communicated without direct reference to the type of dimension being used during that comparison. Eventually the sequence of sounds (numbers) began to take on a reality unto themselves within the minds of man.

And with that false sense of the reality of the numbers, the concept of mathematics came into existence. Mathematics is the process of working with numbers, without reference to any physical significance which those numbers (or ratios) represent.

Hence it is mathematically acceptable to manipulate numbers (addition, subtraction, etc) without any prior thought about what (if anything) the numbers being manipulated actually represent within our physical universe of existence. The result of such manipulation is often given a name of it’s own. And after a name is created, there is a high probability that that name (another empty sound or symbol) will take on an imaginary reality within the mind of man.

As an example, it is currently commonly agreed that if the sound that we refer to as the standard unit value of the dimension we call length is mathematically multiplied by another such sound, then the mathematical result is one unit of a new imaginary concept we call an "area". Most of us would agree that an area is a reality of nature. But on reflection, we can realize that it is not a reality of nature - it is purely a mathematical creation of man which we have mentally accepted as a reality. However, it is physically impossible to measure an "area" - we can only imagine an area though the use of creative mathematics, and then imagine that the result is a reality of nature rather than a mathematical manipulation of previously agreed upon words.

During the early stages of mathematics, the lack of realization that numbers are not a reality unto themselves did not create great problems, because the values of interest pertained to the relationships involving a single dimension. Such as the ratio of distance between two points in space, or the duration of time between two points in time. Those manipulations involved simple ratios of similar types of physical observations.

However, when man began to manipulate the ratios (numbers) associated with unlike physical observations, he began to stray far from the reality of existence. For example, when man began to manipulate the dimension of space with the dimension of time, he created the concept which he named "velocity". When he then began to manipulate the dimension of force with the dimensions of distance and time he created the concept of "mass". Velocity and mass are not realities of nature - they are empty sounds created by man as the result of mathematical manipulation of three separate forms of reality which were previously defined by the words of space, time, and force.

But the words space, time, and force in turn are only verbal symbols for the factors of physical separation (distance) and change (time) which man can physically sense during his worldly state of existence.

Separation and change remain the only true realities of nature. That is relativity in utmost simplicity. The rest is simply words and symbols created by man during his attempts to communicate about that which he is able to perceive within the physical universe.

Man has become greatly confused because he no longer recognizes the difference between the reality of nature, versus his own imagination which converts that which man can perceive into verbal and numerical symbols having no relationship to the reality of nature.


Back to sub-index
Next: Communication Tools


To Home Page