In the numerical philosophy Of the Pythagoreans, odd numbers were male and even numbers female. It is wrong, however, to say, as Brother Oliver and some others after him have that odd numbers were perfect, and even numbers imperfect. The combination of two odd numbers would make an even number, which was the most perfect. Hence, in the Pythagorean system, 4, made by the combination of 1 and 3; and 10, made by the addition of 3 and 7, are the most perfect of all numbers. Herein the Pythagorean differs from the Masonic system of numerals. In this latter all the sacred numbers are odd, such 3S 3, a, 7, 9, 97 and 81. Thus it is evident that the Masonic theory of sacred numbers was derived, not, as it has been supposed, from the school of Pythagoras, but from a much older system (see Numbers).
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