Page 30 - Studio International - December 1974
P. 30

Study of Distortions, Pascal's Triangle II  1973





         Unpredictability                   If from n outcomes whose results   Probes:  Pascal's Triangle, study of intentionality — unintentionality in art,
         Investigation of chance (or accident)   are chance, A are one kind, the best   probabilities of occurrence (empirical), random sequence of results and trials,
         in the creation of art.         estimate of the probability that   frequency (or repetition) of occurrence of any phenomena, errors of observations,
           Probability theory, or the study of   exactly A out of the next n outcomes   intuition determining variance (chance),  uncertainty factors, tychism, probability
         chance, can be applied to any activity   will be the same is    of success, failure and joint occurrence or alternative occurrence.
         that is expected to be repeated, when   A    n—A                subjective
                                              A  (n — A)  n!
         various possible outcomes are equally                           objective
         likely and are sufficiently uncertain so                        a priori or theoretical (direct)
                                              A ! (n — A)!nn
         that the result is unpredictable.                               inductive or empirical
           This type of probability is called                            quantitative or mathematical    probability
         empirical, (inductive) or a-posteriori                          qualitative (probabilis, probabiliorism)
         probability and can be applied to art.                          a posteriori or inverse
           We may assume several members as                                             relative frequency of events
         elements of a random set of outcomes.                                          measure of belief
         The relative frequency of repeated                                             truth frequency of types of arguments
         occurrence in an activity is its                                probability as:   primitive notion
         probability approximation, and can                                             limit of frequencies
         seldom be known exactly. Probability                                           physical magnitude determined by axioms
         is therefore a truth approximation.                                            concept
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