Streams of Consciousness and Acts of Awareness

Abstract

Let us fix the values of x ₁, x ₂, y in the expression

$$\begin{array}{*{20}{c}} {M\left( {x,y} \right)} \\ {{{x}_{2}}} \\ {{{X}_{1}} = {{x}_{1}} \cdot } \\ \end{array}$$

(17.1)

. and represent (17.1) as a function of x:

$${X_1} = F\left( x \right)$$

(17.2)

. The substitution of function F(x) for x in (17.2) will be called the first act of awareness. As a result we obtain the function:

$$X_1^{\left( 2 \right)} = F\left( {F\left( x \right)} \right)$$

(17.3)

. As in the Boolean model, the following transformation will be called an act of awareness in the non-linear model:

$${F^{\left( k \right)}}\left( x \right) \to {F^{\left( {2k} \right)}}\left( x \right)$$

(17.4)

, Where

$${F^{\left( k \right)}}\left( x \right) = F\left( {F\left( { \ldots F\left( x \right)} \right)} \right)$$

(17.5)

, and k is a number of letters ‘F’ in composition (17.5).