Pythagorean Mathematics-c

The original Pythagorean system of numerical philosophy contains nothing to justify the practice now in vogue of changing the given name or surname in the hope of improving the temperament or financial condition by altering the name vibrations. THE NUMERICAL VALUES OF THE HEBREW, GREEK, AND SAMARITAN ALPHABETS. From Higgins' Celtic Druids. Column 1 Names of the Hebrew letters. 2 Samaritan Letters. 3 Hebrew and Chaldean letters. 4 Numerical equivalents of the letters. 5 Capital and small Greek letters. 6 The letters marked with asterisks are those brought to Greece from Phœnicia by Cadmus. 7 Name of the Greek letters. 8 Nearest English equivalents to the Hebrew, Greek, and Samaritan Letters. NOTE. When used at the end of a word, the Hebrew Tau has the numerical value 440, Caph 500, Mem 600, Nun 700, Pe 800, Tzadi 900. A dotted Alpha and a dashed Aleph have the value of 1,000. *** There is also a system of calculation in vogue for the English language, but its accuracy is a matter of legitimate dispute. It is comparatively modern and has no relationship either to the Hebrew Qabbalistic system or to the Greek procedure. The claim made by some that it is Pythagorean is not supported by any tangible evidence, and there are many reasons why such a contention is untenable. The fact that Pythagoras used 10 as the basis of calculation, while this system uses 9--an imperfect number--is in itself almost conclusive. Furthermore, the arrangement of the Greek and Hebrew letters does not agree closely enough with the English to permit the application of the number sequences of one language to the number sequences of the others. Further experimentation with the system may prove profitable, but it is without basis in antiquity. The arrangement of the letters and numbers is as follows: 1 2 3 4 5 6 7 8 9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z The letters under each of the numbers have the value of the figure at: the top of the column. Thus, in the word man , M = 4, A = 1, N = 5: a total of 10. The values of the numbers are practically the same as those given by the Pythagorean system. AN INTRODUCTION TO THE PYTHAGOREAN THEORY OF NUMBERS (The following outline of Pythagorean mathematics is a paraphrase of the opening chapters of Thomas Taylor's Theoretic Arithmetic , the rarest and most important compilation of Pythagorean mathematical fragments extant.) The Pythagoreans declared arithmetic to be the mother of the mathematical sciences. This is proved by the fact that geometry, music, and astronomy are dependent upon it but it is not dependent upon them. Thus, geometry may be removed but arithmetic will remain; but if arithmetic be removed, geometry is eliminated. In the same manner music depends upon arithmetic, but the elimination of music affects arithmetic only by limiting one of its expressions. The Pythagoreans also demonstrated arithmetic to be prior to astronomy, for the latter is dependent upon both geometry and music. The size, form, and motion of the celestial bodies is determined by the use of geometry; their harmony and rhythm by the use of music. If astronomy be removed, neither geometry nor music is injured; but if geometry and music be eliminated, astronomy is destroyed. The priority of both geometry and music to astronomy is therefore established. Arithmetic, however, is prior to all; it is primary and fundamental. Pythagoras instructed his disciples that the science of mathematics is divided into two major parts.