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CHAPTER 3    Citoequations

The mathematics of Cidentireplicas


In this chapter we deal with the mathematics of each of the predictions, principles, and properties of cidentireplicas that were developed in chapter 1 and 2. These concepts are developed into equations that are called citoequations. This just means that they are equations that deal with cidentireplicas and the identireplica theory of consciousness. Scientists make predictions, based on a theory, on how things in nature will function. If these predictions are universal enough it can be stated as a principle. If these predictions and principles deal with this or another universe they become properties of that universe. I believe that a certain set of these citoequations apply to this universe that we live in. It will be just as important of a scientific development if scientists find that this set of citoequations do not apply to this universe. This is because, if these equations are not applicable to this universe, the consequences will result in an entirely different possible future for mankind or all conscious beings in this universe.

This chapter creates an area of mathematics that deals with consciousness.
The equations can be true or false for different real universes or different modal universes. The ones that are true for this universe will have to be scientifically proven or disproven. There will be many equations that can be generated with this mathematics of consciousness that are not true for this universe. An example of this in arithmetic is 1+1 = 2 is considered true in this universe but arithematic has the ability to create any number of other equations of the form 1+1 = n where n is any number. For example 1+1 = 5. This is not considered to be true in this universe. But in binary 1+1= 10. Or in the physical world 1 cup sugar plus 1 cup water does not equal 2 cups sugar water. Arithmetic has the ability to generate relationships (concepts --knowledge) that are not related to any reality.


Terms will be labeled as Tn, relational operators will be labeled as Rn, functional operators will be labeled as Fn and the logical operators will be labeled Ln . The subscript variable n will start at one and increase in number as they are encountered in this chapter. A term is a name for a theocept. A theocept is a theoretical concept that can represent vast amounts of knowledge in any possible way.  A theocept can be a functional, relational, or logical operator among other things. 

Terms, relational, functional, and logical operators for citoequations.

Terms

T1:    Ori, stands for the original.
T2:   Ido, stands for an idoriginal.
T3:     Cid, stands for the cidentireplica. 
T4:    O, defines the exact original that the term is defined (created) from. We call it the template original.
T5:    U, defines the universe and universal laws in it.  
T6:    E,  defines the exact matter and energy it is made of and placement over 	   time.
T7:   D,  defines the exact orientation, dimensionality or space it exists in over time.
T8:  T  defines the exact time the body exists in and other time related concepts.
T9:	S, defines the exact structure of the object or body at any time.
T10:	C, defines the exact functioning of the object or body over time and change in structure over time.

A combination or other arrangement of terms is a term.
Each term is a theocept -- a theoretical concept -- an arrangement of epistemological knowledge.

Relational operators

A relational operator relates that particular concept that it is a relational operator of. 

R1: == means is the same identical thing or identically the same in every possible way. It is the sum of =P=, =M=,=B=, =N=,etc.

R2:  =P= means physically identical same matter and energy, same place, same time.	

R3: =M= this is the relational symbol that means mentally equal -- all aspects of mentality.

R4:  =B= This is the relational operator for behavioral identity. This means that all behavior is identical.

R5:  =N= This is the relational operator that represents name equality. This means that the two terms have the same name. The concept of name reduction (replacement) is one name can be reduced to another when all factors or terms are equal.

R6    =O= This is the relational operator that represents using the same original as the template for knowledge, potential creation, or creation. “You”

R7:   =U= This is the relational operator that represents being in the same universe with the same universal laws.

R8:   =E=  This is the relational operator that represents materially  synchronized -- made of the same matter and energy in the same exact placement over the time period that is covered in the equation.

R9:    =D= This is the relational operator that represents dimensionally synchronized -- in the same place with the same orientation over the time period that is covered in the equation.

R10:   =T= This is the relational operator that represents time equality. This means that the two objects are in time synchronization
R11:  =S= This is the relational operator for structural identity.
R12:  =F= This is the relational operator for functional identity. This means that the functioning is identical.  
R13:  =K= is the  relational operator for knowledge identity. There are many types of knowledge that deal with different aspects of .

R14:  =Im= is the  relational operator for isomorphic functioning and structure. This means that they will produce the same awarepath with a differnt physipath. Isoidentireplicas will have this relationship

R15:  =Fg= is the  relational operator for fragmentation. This means that they will produce the same awarepath with a fragmented physipath. Fidentireplicas will have this relationship

Functional operators

A functional operator operates on the object within the brackets. Every relational operator has a functional meaning.

F1:  P{   } is a functional operator that means the physical properties of the object with in the brackets. 
F2:  M{   } is a functional operator that means all the mentality of term, object, or theocept within the brackets.
F3:  B{   } is a functional operator that means the behavior of the term, object, or theocept  with in the brackets.
F4: N{   } is a functional operator that means the name of the term, object, or theocept with in the brackets.
F5:  O{   } is a functional operator that means the original that the term, object, or theocept with in the brackets is defined by.
F6:  U{   } is a functional operator that means the universe and or universal laws of the term, object, or theocept with in the brackets.
F7:  E{   } is a functional operator that means the exact  matter /energy and its placement, of the term, object, or theocept with in the brackets.
F8:  D{   } is a functional operator that means the exact placement and orientation of the term, object, or theocept with in the brackets.
F9:  T{   } is a functional operator that defines the exact time the term, object, or theocept exists in, with in the brackets. Theobject --theoretical object
F10:  S{   } is a functional operator that means the structure of the term, object, or theocept with in the brackets.
F11:   F{   } is a functional operator that means the functioning  of the term, object, or theocept with in the brackets.
F12:  K{   } is a functional operator that means the knowledge of the term, object, or theocept with in the brackets. 

Some terms deal with the actual object others deal with properties of terms and still others deal with knowledge about the term or object or theocept.

Logical operators

L1:   … this is the symbol for implies or “if -- then --” if A then B
L2:   ≈ this is the symbol for union
L3:   ↔  this is the symbol for intersection
L4:   Œ  this is the symbol for element of 
L5:   œ  this is the symbol for not an element of 
L6:   õ this is the symbol for “there exists”
L7:   Ú this is the symbol for “there does not exist”
L8:   ú this is the symbol meaning “for all”
L9:   ℵ this is the symbol for limited implication
L10:  ﬁ this is a elaboration of an equation operator it is used to restate an equation in a more detailed or longer form. For instance from number to name to designation to elaboration etc.
L10:  ∴ this is a reduction of an equation operator it is used to restate an equation in a shorter form. For instance from elaboration to designation to name to number etc.

L11:   ℘  this is the symbol for inverse implication B “because” A

These following equations will be represented in two ways. The first line is a name and a simplified version of the equation. We call this first part the name or number of the equation. The second line or lines will be an elaboration of the equation. We call the second part the elaboration.
The reduced equation (the shortest form of the equation usually in the first line) will give information about the equation in a more simplified or shorted form. The first number before the period distinguishes the equation grouping. The second number indicated what the equation deals with in terms of originals, idoriginals, cidentireplicas etc. The third symbol or letter deals with the relational operator. The forth symbol or letter deals with the functional operator. The fifth section defines the variables in parenthesis that vary. Between the different sections can be periods.
The simplest reduction of an equation is a number as in equation “1”. It supplies little information. The next simplest reduction is a name like “citomultiplicity”. When equations relate to verbally defined concepts that have names, the equations will often be labeled with these names. The third level of reduction or elaboration is the simplest symbolic equation or SSE. The SSE through explicit rules allows for the elaboration of level four. The fourth level is where there is actually an equating symbols relating two or more things. Equations can be composed of different levels as long as there a clearly defined way of reducing or elaborating the different levels. There is no defined limit to the amount of elaboration that these equations can be submitted to. Eventually an elaboration can include very specific information about a concept or object.

A number of simple redundant equations will be used to give a rudimentary working knowledge for this mathematics of consciousness before we come to the equations that the identity theory generates as principles and properties of consciousness in this universe.

One of the simplest equations is:
Equation 1.1.=  ﬁ 
Ori(O,U,E,D,T,S,C) == Ori(O,U,E,D,T,S,C)
Equation 1.1.= means that an originals is identical to itself when the two have the same identical original (O), Are in the same universe with the same universal physical laws (U), are made of the same matter/energy (E ), in the same dimensions/space (D), in the same time (T) , have identical structure (S),and functioning identically (C). The symbol “ﬁ” means that an elaboration will follow in the next equation.

Equation Ori(O,U,E,D,T,S,C) == Ori(O,U,E,D,T,S,C)
∴  1.1.= .
The symbol “∴” means that a reduction of the previous equation will follow in the next equation. The process of elaboration is important because it allows more information to be represented in an equation. The process of reduction is important because it allows one to see the bigger picture so to speak and it takes less space to represent.

Equation 1.1.F    ﬁ   
Ori(O,U,E,D,T,S,C) =F= Ori(O,U,E,D,T,S,C) 
This equations represent the idea that an original will function exactly like itself. This is a consequence and sub case of equation 1.1.=. This is also true because the functioning in one term is the same as the functioning in the other term : C = C .
. 
Equation 1.1.B    ﬁ 
Ori(O,U,E,D,T,S,C) =B= Ori(O,U,E,D,T,S,C)
It is hard to argue with the idea that a person will behave exactly like itself when all factors are the same. This is a consequence of Equation 1.1.F because identical functioning produces identical behavior, and a sub case of equation 1.1.=. 

Equation 1.1.M    ﬁ 
Ori(O,U,E,D,T,S,C) =M= Ori(O,U,E,D,T,S,C)
This sates that the mentality of the original is identical to the mentality of the original. If there is no mentality produced by the original the mentality produced is still the same, that of nothing.

Equation 1.1.P, equation 1.1.N, equation 1.1.S etc. all fallow from equation 1.1.= by equation 1.1.=… 

Equation 1.1.=…    ﬁ
1.1.=  …  [1.1.M ≈ 1.1.B ≈ 1.1.P ≈ 1.1.N ≈ 1.1.O ≈ 1.1.U ≈ 1.1.E ≈ 1.1.D ≈ 1.1.T ≈ 11.S ≈ 1.1.F] 
This is just a statement of the definition of the relational operator ==.


Idoriginals are naturally occurring cidentireplicas of originals. Since they will occur naturally they are originals. And they are identical. They will be identified by the numeral 2 in the name of the equation.


Equation 2.2.=    ﬁ
Ido(O,U,E,D,T,S,C) == Ido(O,U,E,D,T,S,C)
An idoriginal is identical to itself in all ways.

Equation 2.2.M    ﬁ
Ido(O,U,E,D,T,S,C) =M= Ido(O,U,E,D,T,S,C)
This is a valid equation as well as 2.2.B,  2.2.P, 2.2.N, 2.2.S, 2.2.E, etc. because they are subcases of  Equation 2.2.=.

Equation 2.2.=…    ﬁ
2.2.= … [2.2.M ≈ 2.2.B ≈ 2.2.P ≈ 2.2.N ≈2.2.O ≈ 2.2.U ≈ 2.2.E ≈ 2.2.D ≈ 2.2.T ≈ 2.2.S ≈ 2.2.F]  

When we combine equation including originals and identical originals we use the combination of  the numerals 1 representing originals and 2  representing idoriginals.

Equation 1.2.=    ﬁ
Ori(O,U,E,D,T,S,C) == Ido(O,U,E,D,T,S,C)
This is true because of Equation 1.1.= and PNI. All the subcases of this equation are valid as well. Such as 1.2.M, 1.2.B, 1.2.D, 1.2.S, 1.2.T, etc. because of equation 1.2.=…	

Equation 1.2.=…      ﬁ
1.2.= … [1.2.M ≈ 1.2.B ≈ 1.2.P ≈ 1.2.N ≈ 1.2.O ≈ 1.2.U ≈ 1.2.E ≈ 1.2.D ≈ 1.2.T ≈ 1.2.S ≈ 1.2.F]  

If we reverse the order of the equation, we have a new name and a different equation.

Equation 2.1.=    ﬁ
Ido(O,U,E,D,T,S,C) == Ori(O,U,E,D,T,S,C)
This equation is just as valid as Equation 1.2.=, As are all the subcases like Equation 2.1.M, Equation 2.1.P , etc.

Equations    1.2.= …  2.1.=    ﬁ
(1.2.=…)  …  (2.1.=…)

These identity equations are usually commutative so it does not matter if the Ori or Cid part comes first.  For example Cid(...) =m= Ori(...) will be the same as Ori(...) =m= Cid(...) . As a general rule we will start with the lowest numeral first but the reverse will be valid also.

PNI or N^	  
The Principle of Name Interchangeability --- PNI or N^	.
If a term is being used as a name and not a functional operator and if renaming does not effect the concept or any aspect of the concept, renaming by another term is allowed. A term is used as a name and not a functional operator when the functional operator acts as a name and does not effect the terms it applies to in that situation. 

Equation 1.3.=      ﬁ
Ori(O,U,E,D,T,S,C) == Cid(O,U,E,D,T,S,C) 
This equation means that they really are the same thing. This is because all of the factors in the parenthesis are the same. This follows from the equation 1.1.=, and the principle of name replacement PNI (N^).
Equation 1.3.P    ﬁ 
Ori(O,U,E,D,T,S,C) =P= Cid(O,U,E,D,T,S,C)
They are physically identical because they are the same thing. They just have a different name. They are the same because their indices are the same. This follows from 1.1.= and PNI. Or as a subcase of Equation 1.3.= .	

Equation 1.3.M    ﬁ   
Ori(O,U,E,D,T,S,C) =M= Cid(O,U,E,D,T,S,C)
This means that the actual material bodies are mentally identical. Again this may be viewed as a tautology because they are the same thing but with a different name. They are of the same original, in the same universe, are made of the same matter in the same place and time with exactly the same structure and functioning. If we wish to be precise, the meanings the concept of a Cid(... ) is different from the concept of a Ori(...). We have two different concepts applied to the same thing -- (O,U,E,D,T,S,C).

Equation 1.3.F      ﬁ
Ori(O,U,E,D,T,S,C) =F= Cid(O,U,E,D,T,S,C) 
This equation is true when and because Ori(C) ==Cid(C). This is correct because the functioning C is the same in both terms. In this case we have the same thing with a different name. It also follows from 1.1.F and principle of name interchangeability PNI. It also follows as a subcase of 1.3.=.

Equation 1.3.B    ﬁ 
Ori(O,U,E,D,T,S,C) =B= Cid(O,U,E,D,T,S,C) 
It is hard to argue with the idea that a person will act exactly like itself when all factors are the same except for its name Cid instead of Ori. This follows from equation  1.1.B and the principle of name interchangeability.

So far these  equations have been a little redundant because it defines exactly the same thing in each case. The only difference is in the names. These equations are valid and they begin to show the logic of this field of science and its mathematics.
In the following equations we will not always include the equations for the relationship between the original and idoriginal. They are essentially sub cases of the equations for the original and cidentireplica. 

Equation 1.3.=…    ﬁ
1.3.= … [1.3.M ≈ 1.3 B ≈ 1.3.P ≈ 1.3.N ≈ 1.3.O ≈ 1.3.U ≈ 1.3.E ≈ 1.3.D ≈ 1.3.T ≈ 1.3.S ≈ 1.3.F] 
This is just a restatement of definition of 1.3.= in mathematical terms .
Equation 1.3.=… states that if 1.3.= is valid then the equations 1.3.M,1.3 B, 1.3.P, 1.3.N, 1.3.O, 1.3.U, 1.3.E, 1.3.D, 1.3.T, 1.3.S, and 1.3.F are valid as well. How is 1.3.N valid when  Ori(O,U,E,D,T,S,C) =/N= Cid(O,U,E,D,T,S,C) is not true? This is true because of the principle of name interchangeability.


Equation 13.31.=…    ﬁ     Equation 1.3.=… 3.1.=    ﬁ
(1.3.= … 3.1.=) … (1.3.=…) … (3.1.=…)


Equation 13.31.=…1.2    ﬁ
(1.3.=…) … (3.1.=…)    ﬁ
{ 1.3.= … [1.3.M ≈ 1.3 B ≈ 1.3.P ≈ 1.3.N ≈ 1.3.O ≈ 1.3.U ≈ 1.3.E ≈ 1.3.D ≈ 1.3.T ≈ 1.3.S ≈ 1.3.F]} … {3.1.=…  [3.1.M ≈ 3.1 B ≈ 3.1.P ≈ 3.1.N ≈ 3.1.O ≈ 3.1.U ≈ 3.1.E ≈ 3.1.D ≈ 3.1.T ≈ 3.1.S ≈ 3.1.F] }
This is an equation that shows the associative principle in the nature of these equations.


Reduction of terms rules
Equation 1.1.=.F(C)    ﬁ	
F [Ori(O,U,E,D,T,S,C)]== Ori(C)
This equation states that the functioning of the original with all its terms is identical to the originals functioning.

Equation 1.1.F(C)    ﬁ
Ori(O,U,E,D,T,S,C) =F= Ori(C) 
This equation says that the original with these terms(O,U,E,D,T,S,C)  is functionally identical to the originals functioning.

Other Equations of reduction

1.1.=.O(O), and	1.1.O(O) corresponding to
O[Ori(O,U,E,D,T,S,C)] == Ori(O) and 
Ori(O,U,E,D,T,S,C) =O= Ori(O) respectively.

1.1.=.U(U), and	1.1.U(U)
1.1.=.D(D), and	1.1.D(D)
1.1.=.T(T), and	1.1.T(T)
1.1.=.S(S),  and	1.1.S(S)

Equations using functional operators

Equation 1. 1.M1.2    ﬁ
M{Ori (O,U,E,D,T,S,C) } =M= M{Ori(O,U,E,D,T,S,C)}
Equation 1.1.M1.2, means that the originals mentality, is mentality equal to it own mentality when the two have the same identical original (O), Are in the same universe with the same universal physical laws (U),are made of the same matter/energy (E ), in the same dimensions/space (D), in the same time (T) , have identical structure (S),and functioning identically (C) . In this case the superscript “1” in “1.2” represents
one relational operator and the “2” represents 2 functional operators.


Equation 1.2.M1.2    ﬁ
M {Ori (O,U,E,D,T,S,C) } =M= M{Ido(O,U,E,D,T,S,C)}
Equation 1.2.M1.2 means that an original’s mentality is mentally equal to the mentality of its idoriginal when the two have the same identical original (O), Are in the same universe with the same physical laws (U), are made of the same matter (E), in the same dimension/space (D), in the same time (T) , have identical structure (S), and functioning identically (C) . This is the same equation as above with a name replacement Ori instead of Ido.

Equation 1.3.M1.2    ﬁ
M {Ori (O,U,E,D,T,S,C ) } =M= M{Cid(O,U,E,D,T,S,C)}
Equation 1.3.M1.2 Means that the mentality of the cidentireplica is mentally equal to the mentality of the original when the two have the same identical original (O), exists in the same universe with the same physical laws (U), are made of the same matter (E), in the same dimension/space (D), in the same time (T), have identical structure (S), and are functioning identically (C) .  

Equation 1.1.F 1.2    ﬁ
F[Ori(O,U,E,D,T,S,C)] =F= F[Ori(O,U,E,D,T,S,C)]
The functioning of the original is functionally equivalent to the functioning of the original. The F 1.2 in the equation designation means that there is one relational operator and two functional operators in the equation. If there are two relational operator in the equation then we represent it as  F 2..   F 3. for three relational operators. 

An example of more relational and functional operators in an equation is:
Equation 1.1.F 3.4    ﬁ
F[Ori(O,U,E,D,T,S,C)] =F= F[Ori(O,U,E,D,T,S,C)] =F= F[Ori(O,U,E,D,T,S,C)] =F= F[Ori(O,U,E,D,T,S,C)] 
In this equation there are three relational operators and four functional operators

Equation 1.1.F(C)2    ﬁ
Ori(C) =F= Ori(C) 
The originals functioning is functionally equivalent to the originals functioning
This is correct because the functioning  C  is the same in both terms. The term (C)2 is used to represent the double use of C.  

Equation 1.1.F2(C)3    ﬁ
Ori(C) =F= Ori(C) =F= Ori(C)
In this equation there are two relational operators .F2 And three references to functioning (C)3. Equation 1.1.Fn(C)m extends this relationship to any number n, where m will be n + 1.

Equation 1.3.B1.1    ﬁ
B[Ori(O,U,E,D,T,S,C)] =B= Cid(O,U,E,D,T,S,C) 
This equation states that the behavior of the original is behaviorally identical to the cidentireplica. We use the superscript B1.1. To define that there is one relational operator =B= and one functional operator B[ ...] in the equation. 

Equation 1.3.B1.2.    ﬁ
B[Ori(O,U,E,D,T,S,C)] =B= B[Cid(O,U,E,D,T,S,C)] 
B1.2 means that there are one relational operator and two functional operators in this equation.

Equation 1.3.B1.F.2    ﬁ
F[Ori(O,U,E,D,T,S,C)] =B= F[Cid(O,U,E,D,T,S,C)] 
The functioning of the original is not the original or the behavior of the original.
This equation states that the functioning of the original is behaviorly equal to functioning of the cidentireplica. Technically since there is no behavior i.e., “the null behavior” and both sides have this null behavior so they are by default behaviorally equal.

Equation 1.3.=F.2    ﬁ
F[Ori(O,U,E,D,T,S,C)] == F[Cid(O,U,E,D,T,S,C)] 
This states that the functioning of the original is identical to the functioning of the cidentireplica. But the double equal sign also means identical in all other ways defined. Such as  =M=, =E= , etc. This is true because these other relational operators will be relating null or empty theocepts and thus will be  identical. 

1.3F…B     ﬁ
1.3.F …  1.3.B      ﬁ
Ori(O,U,E,D,T,S,C)] =F= Cid(O,U,E,D,T,S,C) …
Ori(O,U,E,D,T,S,C)] =B= Cid(O,U,E,D,T,S,C)
This equation states that if the original and the cidentireplica are functionally identical then they will be behaviorally equal. In the case where there is not behavior produced it is true by default.

New relational operators for equations

R14:   =/= means not equal or identical, in one or more ways. We can put the slash sign in front of any relational operator for example; =/B=,=/P=,=/M=, =/S= etc. 

R15: =//=. This relational operator means the terms are not equal in all ways. 

For terms to be different there has to be a difference in the terms. To represent this difference we have added subscripts and superscripts to the terms, and to the terms in the names of the equations.

Equation 1.1./(E1m)    ﬁ
Ori(O,U,E1,D,T,S,C) =/= Ori(O,U,Em,D,T,S,C)
These are not identical because they are made of different matter. E1 does not equal Em .  Of course they are still in the same space and time, which can cause some problems, if this situation could actually occur. In this case we have the same name for two things that are different in one way. In reality the original could have been made of different matter.

Equation 1.1./P(E1m)    ﬁ
Ori(O,U,E1,D,T,S,C) =/P= Ori(O,U,Em,D,T,S,C)
The original is not physically equal to itself when it is made of different matter. The term E1m defines the change in matter from E1 to Em. E1 is fixed to 1 a specific grouping and arrangement of matter, but Em is a variable because m represents a variable. So Em represents any grouping or arrangement of matter that satisfies the other conditions (O,U,D,T,S,C).

Equation 1.3./(E1m)     ﬁ 
Ori(O,U,E1,D,T,S,C) =/= Cid(O,U,Em,D,T,S,C) 
Like equation 1.1./(E1m) the cidentireplica and the original are not identical because they are not made of the same matter but they have the peculiar situation of being in the same place and at the same time. Whether this is physically possible is another question.
There are a number of equations that are not equivalent. There are how many equations using the relational operator =//=? 
In equation 1.3.// we do not need parenthesis because it includes all terms. But this equation is false because every term on both side of the equation is identical so they are equal.

1.3.//(1m)    ﬁ
Ori(O1,U1,E1,D1,T1,S1,C1) =//= Cid(Om,Um,Em,Dm,Tm,Sm,Cm) 
This equation will be valid because each term on different sides of the equation are different. (1m) represents all terms transposing from 1 in the original to m in the cidentireplica. However in this equation we can not, by definition, call the cidentireplica a cidentirepliica of this original because it is not identically functioning.

1.3.//(n m)    ﬁ
Ori(On,Un,En,Dn,Tn,Sn,Cn) =//= Cid(Om,Um,Em,Dm,Tm,Sm,Cm) 
What this equation states is that the original and the cidentireplica are not identical in any way defined by these terms.


1.3.//(1m)…  ﬁ
1.3.//(1m)…1.3./N(1m)    ﬁ
1.3.//(1m)  … 1.3./B(1m) ≈ 1.3./M(1m) ≈ 1.3./P(1m) ≈ 1.3./N(1m) 1.3./S(1m) ≈ 1.3./F(1m) ≈ 1.3./O(1m) ≈ 1.3./U(1m) ≈ 1.3./E(1m) ≈
1.3./D(1m) ≈ 1.3./T(1m) 
This equation can be elaborated again. 


Orimaterality Placement

Equation 1.1.M(Ep1p2)    ﬁ 
Ori(O,U,Ep1,D,T,S,C) =M= Ori(O,U,Ep2,D,T,S,C)
The “p”  in Ep1 represents the placement of the atoms in the original. Ep2 means the same matter in the original but a different placement. So a carbon atom in the toe could have been in the brain instead and the resulting original will still have the same mentality. We can have any conceivable placement of atoms and the mentality will be the same. This does not mean that we can have carbon replacing hydrogen atoms for example because the resulting structure and functioning will be different. When the placement is different of these atoms, for instance carbon atom A being placed where carbon atom B is, carbon atom A is placed exactly in the same place as carbon atom B was. 
This equation is scientific in that it can be empirically based. It may be true or false. Or some places true and some false. It may be true in some universes and false in others. Many places the conditions of this equation can not exist. For instance, under normal circumstances a human body can not exist in the middle of a star. This theory makes the prediction that this equation is true for this universe of course the equation already has this stipulation for universes.
However, it may be impossible to empirically test this equation exactly as stated.

⎠ is the symbol for change of placement.
∫ This symbol represents a complex manifold of mathematical functions. It is the integration symbol in calculus. But that is not its meaning here. It is used here because it represents a complex functional relationship in calculus dealing with change thus using it gives the impression of complex mathematical functions of change.

Equation 1.3∫bd.M(E∫⎠)    ﬁ	
Ori(O,U,E1,D,T,S,C) =M= ∫bdCid(O,U,E ∫(m⎠n),D,T,S,C) 
This equation states that the original would be mentally equal to the cidentireplica if during the life of the cidentireplica the placement of the atoms were different in any complex arrangement of switching over time. The conditions of the rest of the equation still have to be met like identical structure and functioning etc. This equation includes a very large amount of possibilities. Each identical functioning unit can be switched with another identical functioning unit at any time and as often as defined by the equation. A carbon atom in the skin could be switched with a carbon atom in any other part of the body. Since There are millions of trillions of carbon atoms in the body that one carbon atom could be switched with each one. Then we can consider any one of the carbon atoms has that same potential to switch with any other one. Once switched they can be switched again and again. There are n! Amount of switching where n is the number of carbon atoms.

Equation 1∫bd.3∫bd.M(E∫⎠)    ﬁ	
∫bdOri(O,U,E ∫(n ⎠ m),D,T,S,C) =M= ∫bdCid(O,U,E∫(m⎠n),D,T,S,C) 
This equation states that any amount and complexity of switching of atoms or other material within the original from birth to death will be mentally equal to any amount and complexity of switching of atoms or other material within the cidentireplica. In a normal functioning person there is interchange of atoms in the body over time.

Equation 1∫bd.3∫bd.M(E∫⎠)    ﬁ	
∫bdOri(O,U,E ∫(p ⎠ q),D,T,S,C) =M= ∫bdCid(O,U,E ∫(m⎠n),D,T,S,C) 

There are many other equations related like 1∫bd.1∫bd.M(E∫⎠),	 1∫bd.2∫bd.M(E∫⎠),  3∫bd.3∫bd.M(E∫⎠),  1∫bd.1∫bd.B(E∫⎠),  1∫bd.2∫bd.B(E∫⎠), 3∫bd.3∫bd.B(E∫⎠) etc.

Orimatinterchangability 
Equation 1.1.M(E^)    ﬁ   
Ori(O,U,E(n µ m),D,T,S,C) =M= Ori(O,U,E(m µ n),D,T,S,C)
In this equation the matter is interchanged. A possible interchange is a carbon atom in the original’s toe is interchanged with a carbon atom in the brain. The symbol ^
represents interchange of components. The interchange can be one atom or any combination of every atom, molecule, subatomic particle etc. that could possibly be interchanged. In spite of this interchange identical mentality will be maintained as long as the other conditions(O,U,D,T,S,C) are met.

Idomatinterchangability.
Equation 1.2.M(E^)    ﬁ 
Ori(O,U,E(n µ m),D,T,S,C) =M= Ido(O,U,E(m µ n),D,T,S,C)
This is the equation for idomatinterchangability. It means that between an original and a idoriginal if matter is exchanged then the mentality of the two different people will stay the same.    

Equation 2.2.M(E^)    ﬁ
Ido(O,U,E(n µ m),D,T,S,C) =M= Ido(O,U,E(m µ n),D,T,S,C)
This means that if you exchange matter between two different idoriginals and all the other factors stay the same they will have the same consciousness or mentality.

These equations are also valid 1.2.B(E^), 2.2.B(E^), 1.2.B(E^), 2.2.B(E^), 1.2.S(E^), 2.2.S(E^) etc. Because they are not physically or materially equal these next equations are valid also  1.2./P(E^), 2.2./P(E^), 1.2./E(E^), 2.2./E (E^).
We can construct an infinitely number of different equations from this developing mathematical language. We will only deal with (some of) the equations that either help to show the development and syntax of this language or the concepts of this theory of consciousness.


Citomatinterchangability.
Equation 1.3.M(E^)    ﬁ 
Ori(O,U,E(n µ m),D,T,S,C) =M= Cid(O,U,E(m µ n),D,T,S,C)
This equation states that if the mater in the original was interchanged with the cidentireplica they would still have the same mentality given the other conditions of the equations.

Equation 1.3.B(E^)      ﬁ
Ori(O,U,E(n µ m),D,T,S,C) =B= Cid(O,U,E(m µ n),D,T,S,C)
When the matter is interchanged the behavior stays the same, because the functioning is identical. 

Equation 1∫bd.3∫bd.B(E ∫^)    ﬁ	
∫bdOri(O,U,E ∫(n µm),D,T,S,C) =B= ∫bdCid(O,U,E ∫(m µ n),D,T,S,C) 
This equation represents a complex function from birth to death of the original and cidentireplica of a complex function of interchange of matter.  ∫bd represents 
any of a number of complex functions from birth to death. ∫(n µ m), represents any of a number of complex functions of interchange of matter. Even with a complex interchange of matter over time between the original and cidentireplica. The behavior will continue to be identical. This is true because if the functioning stays the same the behavior stays the same.

How to represent any amount of matter over any length of time it does not have to be a linear equation of interchange amount per time but can be any function desired.

Equation 1∫bd.3∫bd.M(E∫^)    ﬁ	
∫bdOri(O,U,E ∫(n µ m),D,T,S,C) =M= ∫bdCid(O,U,E ∫(m µ n),D,T,S,C) 
This means that from birth to death of the original and the cidentireplica, if a complicated function of interchanged was performed between the cidentireplica and the original, if all other factors (O,U,D,T,S,C) stayed the same the cidentireplica and original would have the same mentality.

Equation 1∫bd.3∫bd./(E∫^)    ﬁ	
∫bdOri(O,U,E ∫(n µ m),D,T,S,C) =/= ∫bdCid(O,U,E ∫(m µ n),D,T,S,C) 
This is valid because the original and the cidentireplica are made of different matter and as a result the equation 1∫bd.3∫bd./E(E ∫^) is valid which make the above equation valid.

Equation 1.3.B(E∫^,bTd)    ﬁ
Ori(O,U,E ∫(n µ m),D, bTd,S,C) =B= Cid(O,U,E ∫(m µ n),D, bTd,S,C) 
This is another ways of stating 1∫bd.3∫bd.B(E ∫^). The equation 1.3.M(E∫^,bTd) is the same as 1∫bd.3∫bd.M(E∫^).

Principle 1   Orimatreplacability 

If the material in the original was different the mentality produced would be the same.

Equation 1.1.M(E12)    ﬁ 
Ori(O,U,E1,D,T,S,C) =M= Ori(O,U,E2,D,T,S,C)
If the matter the original was made of was different the original would still have the same mentality. The original is mentally identically to itself if it is or was made of other matter, placement or grouping of matter but has the same structure, space, time, and functioning. There are many different ways the two can have different matter. An example of same matter in a different place in the body is, a carbon atom that is in the toe is switched  with a carbon atom in the brain. Another example is; every atom is replaced with the identical atom from an outside source.   E1 and  E2 represent a specific arrangement, placement, and grouping of matter and energy. Where as En and  Em represent any arrangement, placement, and grouping of matter and energy.
The subscript 1, 2, n, and m , represent the difference in the names for the different theocepts that contain the exacting information as to the replacement of matter.

Equation 1.1. F(E12)    ﬁ 
Ori(O,U,E1,D,T,S,C) =F= Ori(O,U,E2,D,T,S,C)
It is by definition true because the functioning is the same. Ori(C) == Ori(C) This states that the functioning of the original with a specific placement and grouping of matter E1 is functionally identical to itself when the matter is replaced by a different specific placement and grouping of matter. 

Equation 1.1.M(E1n)    ﬁ
Ori(O,U,E1,D,T,S,C) =F= Ori(O,U,En,D,T,S,C) 
This means that a specific grouping or placement of matter E1 will produce the same consciousness or mentality as any grouping or placement of matter and energy that maintains the conditions of (O,U,D,T,S,C) being identical, 

Equation 1.3.M(E12)    ﬁ 
Ori(O,U,E1,D,T,S,C) =M= Cid(O,U,E2,D,T,S,C) 
This is true because of equation 1.1.M(E12)  and . This equation states that if the original would have been made of different matter (En rather than Em)  it would still have been mentally identical.  We call this change a cidentireplica of the original. A cidentireplica that has this property is called a citomaterial cidentireplica.