numbers even and odd

Pythagorean Mathematics, Numbers and Cycles

“The foundation of Pythagorean Mathematics was as follows: The first natural division of Numbers is into EVEN and ODD. …

“They also noted that every number is one half of the total of the numbers about it, in the natural series; thus 5 is half of 6 and 4. And also of the sum of the numbers again above and below this pair; thus 5 is also half of 7 and 3, and so on till unity is reached; for the monad alone has not two terms, one below and one above; it has one above it only, and hence it is said to be the ‘source of all multitude.’

“‘Evenly even’ is another term applied anciently to one sort of even numbers. Such are those which divide into two equal parts, and each part divides evenly, and the even division is continued until unity is reached; such a number is 64. These numbers form a series, in a duple ratio from unity; thus 1, 2, 4, 8, 16, 32.” ~William Wynn Westcott

Odds Get Even

There is nothing strange or esoteric about dividing numbers first into odd and even. It is curious that some people consider one group to be better than the other for some reason. According to one psychological study, most people like odd numbers better than even ones. When asked to pick a favorite number between one and ten, nearly half chose seven. One study concluded that while even numbers feel calmer and more friendly, odd numbers are more exciting, more interesting.

Side by Side

That each number is half the sum of the two numbers closest to it is an interesting fact I had never noticed before. It is perfectly logical, of course. So in the number group 10, 11, 12; if you add en and twelve, you get 22. Half of 22 is eleven. Another thing to note here is that the companions of an odd number are even, while those of an even number are odd.

Evenly Even

The “Evenly Even” numbers are those which can be divided by two over and over until the result is one. The example given is “1, 2, 4, 8, 16, 32”. This sequence is more recognized today as the binary sequence used in modern computers. The quote is from an old book, so it is not surprising that it doesn’t mention this. Continue reading “Pythagorean Mathematics, Numbers and Cycles”

Word Numbers of numerology

Word Numbers, Numerology, and Pythagorean Geometry

“The first step in obtaining the numeric value of a word is to resolve it back into its original tongue. Only words of Greek or Hebrew derivation can be successfully analyzed by this method, and all words must be spelled in their most ancient and complete forms. Old testament words and names, therefore, must be translated back into the early Hebrew characters and New Testament words into Greek. …

“The Demiurgus of the Jews is called in English Jehovah. … [In ancient Hebrew] it becomes … Yod-He-Vau-He. … Therefore 10+5+6+5=26, the synonym for Jehovah. …

“The second example is the mysterious Gnostic pantheos Abraxus. For this name the Greek table is used … the sum being 365, the number of days in the year. …

“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.” ~Manly P Hall

Word Numbers

To many of the ancients, particularly Pythagorean students, there were significant connections between words and numbers. In many cases, the name for a thing, a person, or a deity was derived from its numeric value. Unfortunately, much of the details of the system used by Pythagoras was never written down and has been lost.

The Chinese have a Numerology system of their own. I believe I read somewhere years ago that the Chinese actually invented numerology, but Wikipedia does not say that. In Chinese numerology, even numbers are generally considered lucky, while odd numbers are not. The vale of the digits are determined by their sound in the Chinese system, so 8 means sudden fortune or prosperity since it sound like the word for prosperity.

Demiurge By the Numbers

It is unusual to read such a direct connection between the Gnostic Demiurge and the Jewish god Jehovah. According to Gnosticism, this false god is the creator of the worlds of matter, so is also connected with Lucifer and the other fallen angels. It is curious that the Hebrew numeric analysis of the name yields a numeric value of 26. Two is generally representative of the duality found in the worlds of matter, while six is often related to the Devil, as in the Biblical 666. But when you add them together, 2+6=8, and eight is the number generally associated with Christ. So perhaps we could interpret the 26 as meaning that the duality of the Demiurge will be cured and made one by the power of Christ. Continue reading “Word Numbers, Numerology, and Pythagorean Geometry”


Hypnosis, Pythagoras, and Spiritual Truth

“It is highly probable that Pythagoras possesses hypnotic power, not only over man but also over animals. He cased a bird to change the course of its flight. A bear to cease its ravages upon a community, and a bull to change its diet, by the exercise of mental influence. He was also gifted with second sight, being able to see things at a distance and accurately describe incidents that had not yet come to pass.” ~Manly P Hall

“Assist a man in raising a burden; but do not assist him in laying it down.” ~Pythagoras

“Having departed from your house, turn not back, for the furies will be your attendants.” ~Pythagoras

Pythagoras and Hypnosis

While I agree with most of what Manly Hall wrote, I think he has this one wrong. Either he is using hypnosis in a different sense than most of us do today, or he lacks understanding in this area of spiritual development.

Hypnosis is generally defined as a trance like state in which one is easily controlled or susceptible to suggestion. If you have seen a comedy hypnosis event on stage, you know that the hypnotist gets people to do things they would not normally do. However, the hypnotists say they cannot get a person to do something that is completely against their nature. And while animals can be hypnotized, I have never heard of this being used to change their behavior.

Power Over Nature and Animals

As a highly developed spiritual Master, Pythagoras did not force any animal or person to behave in a certain way. He simply spoke to them, in the language of symbols that all beings understand. He explained to them why their behavior was wrong and how they should behave instead. The person or animal choose then to listen to him, or not. While there may have been remarkable incidents like that of the bear stopped from ravaging a village there were probably failures as well. Just as a spiritual teacher, no matter how good he is, fails with some students, Pythagoras undoubtedly failed to get some animals to behave.

This power Pythagoras had is the same as that demonstrated by St. Francis of Assisi. He too had a reputation for getting violent animals to calm down and behave. He also was not using hypnosis.

Even a beginning student can see a mild form of this. If you have a pet, try sending them a simple command mentally such as “come in now,” or “Turn around and look at me.” Practice that a few times, and you will start to see it happen.

Or you can sit on a park bench and try to fill yourself with positive thoughts of love and peace. If you do that successfully, you may start to see birds and squirrels coming much closer to you than they normally would. Continue reading “Hypnosis, Pythagoras, and Spiritual Truth”

Two roads, Pythagorean Y

Pythagorean Y and the Road Less Traveled

“The famous Pythagorean Y signified the power of choice and was used in the Mysteries as emblematic of the Forking of the Ways. The central step separated into two parts, one branching to the right and the other to the left. The branch to the right was called Divine Wisdom and the one to the left Earthly Wisdom. …The neophyte must then choose whether he will take the left-handed path and, following the dictates of his lower nature, enter upon a span of folly and thoughtlessness …. or whether he will take the right-handed road and … regain union with the immortals in the superior spheres.
“It is probably that Pythagoras obtained his concept of the Y from the Egyptians, who included [it] in certain of their initiatory rituals.” ~Manly P. Hall

Pythagorean Y

I don’t think the Pythagorean Y is as famous today as Mr. Hall indicates, but the idea of the forking of the ways certainly is. Many, however, think of this decision symbol as representing something much simpler like deciding which profession to go into or who to marry. While we make many decision in our lives, only one is the Y. That one decision is whether we want to follow the path of materialism or the path of spirituality. All other decisions are secondary. And I have no doubt that poet Robert Frost was really talking about this in his “The Road Not Taken” where the wise traveler eventually chose the “one less traveled”. The path less traveled is the spiritual path.

Right or Left?

Unfortunately, choosing the correct path is not as simple as it sounds. It is not just choosing right over left. It is not always obvious which is the path less walked. Here are some hints.

  • The easy path – This is almost always the wrong path. The only exceptions might be if your father is a spiritual teacher or you were born into a very spiritual family. Then the easy path would be to stick with your family, and it would also be the correct path.
  • The popular path – When we are young we often think that if something is popular, it must be good. Just think of restaurants. The places selling the junkiest fast food are often the most popular while the ones selling a healthy and well-prepared meal are less so. Popular doesn’t mean good, and it doesn’t mean correct. This is usually the wrong path.
  • The moneyed path – It is always tempting to take the path where one can make the most money. The rampant materialism of the day encourages this. We idolize those who make great sums of money. Sometimes, we make movies about them. We write books about them. But greed is not and never will be a virtue. We do have to make a living in this world, but beyond that, choosing the moneyed path is the wrong choice.
  • The moral path – Choosing a path of moral values is a good choice. A path that values people and values life. A path that values fair play and honesty. You can’t go wrong taking that path.
  • The environmental path – a path that cares for the environment we all have to live in is generally a good choice. A spiritual person values all life and that means caring for the environment.

That is not a complete list, but it hopefully helps. Continue reading “Pythagorean Y and the Road Less Traveled”