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A STUDY OF ENTROPY AND THE RELATIVE MIND G.G.O.O.F.

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G.G.O.O.F. 13.08.2009


A STUDY OF ENTROPY AND THE RELATIVE MIND

INTRODUCTION................................................................ 5 EXPLANATION..................................................................6 MATHEMATICS................................................................. 8 PSYCHOLOGY..................................................................10

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INTRODUCTION.

  In response to a request for analyzation of assignment 1, studies were begun to explain the process of execution and to expound on the choices that were made. These choices in-turn create alternate choices and possiblities that can be followed or diverted from.   The G.G.O.O.F (Grant Gold Organization of Organizing Facts) took this opportunity to explore the process scientifically, through mathematical theories, psychological proposals/theses, and attempts to explain the randomness of choice and chance in factual terms.

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EXPLANATION.

  The project in discussion, Assignment 1, was a culmination of random choices/chance and is a great example of how arbitrary and unplanned events and objects come together to form reality. (reality: the world or the state of things as they actually exist, as opposed to an idealistic or notional idea of them) When Assignment 1 was assigned there were seemingly endless possibilities (see fig. 1), time and energy limited the possibilities enormously, therefore there were a finite number of options. When choice enters the expanse however, entropic and psychological factors take a hold of the decision making process and lead it in yet another direction, creating a range of even more possibilities until choices based on taste and chance decide the final outcome.   In this study of entropy and the relative mind we will see how these two factors of chance and choice play a vital role in the convoluted process of the design. Continue to the next section for further explanation and understanding.

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ASSIGNMENT

RESTRAINTS

*

n

n

i=1

i=1

<u> = Σ p (xi )ui =  ­—Σ p (xi ) logb(p(xi ))

n

fig. 1

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MATHEMATICS.

â&#x20AC;&#x192; In information theory, entropy is a measure of the uncertainty associated with a random variable. This plays a part in the function of chance by identifying the indiscriminate chances and explainging their role in the broadening of possibility. The random variables in this case are the ideas and possible executions. â&#x20AC;&#x192; Because Assignment 1 was strictly a solution of chance, the study of entropy was a main source of information in this analytical approach to chance and the amount of random possibilities. The Following study of entropy explains, mathematically (see fig. 2), how the variables of chance alter the number of possible outcomes and assigns a value to them based on the amount of identical or divergent prospective outcomes. â&#x20AC;&#x192; Follow the outline on the adjacent page and plug in the variables to get corresponding numbers for the choices made and to understand the number-of-possiblities ratio.

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FORMULA

For a random variable X with n outcomes a measure of uncertainty (see further below) and denoted by H(X), is defined as:

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•  To understand the meaning of Eq. (1), let’s first consider a set of n possible outcomes (events) , with equal probability p(x )= 1/n. The uncertainty for such set of n outcomes is defined by: i

•  The average uncertainty <u>, with <•> being the average operator, is obtained by:

CHOICE

CHANCE

n

n

i=1

i=1

fig. 2

<u> = Σ p (xi )ui =  ­—Σ p (xi ) logb(p(xi ))

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PSYCHOLOGY.   Psychology can explain the choices that we make based on a set of apparatuses that our minds use to aid in making them. Some choices we make based on some level of gratification while others are based on realistic objectives. When analyzed we can see why some choices are based more on one or the other. The final solution for Assignment 1 was (as shown in fig. 3) a use of all three of the apparatuses   Id, ego, and super-ego are the three parts of the psychic apparatus defined in Sigmund Freud’s structural model of the psyche; they are the three theoretical constructs, in terms of whose activity and interaction, in which mental life is described. According to this model, the uncoordinated instinctual trends are the “id”; the organised realistic part of the psyche is the “ego,” and the critical and moralising function the “super-ego.” Id  The Id comprises the unorganised part of the personality structure that contains the basic drives. The id acts as according to the ‘pleasure principle’, seeking to avoid pain or unpleasure aroused by increases in instinctual tension. Ego  The Ego acts according to the reality principle; i.e. it seeks to please the id’s drive in realistic ways that will benefit in the long term rather than bringing grief. Super-Ego  The Super-ego aims for perfection. It comprises that organised part of the personality structure, mainly but not entirely unconscious, that includes the individual’s ego ideals, spiritual goals, and the psychic agency (commonly called ‘conscience’) that criticises and prohibits his or her drives, fantasies, feelings, and actions.

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ID •

• • • *

• ••

EGO

SUPER-EGO

• •

fig. 3

* Assignment 1 • Thoughts or ideas outside the realm of choice • Thoughts or ideas in the realm of choice but left out because of

random events or disagreement between 1 or more of the psychic apparatuses.

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A Study of Entropy and the Relative Mind