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Showing posts with label geometry. Show all posts
Showing posts with label geometry. Show all posts

Wednesday, April 1, 2026

Science in Antiquity: Part 9

 Many modern people have a very limited view of history. They can only see or think about five or ten years into the past. They see history as boring and they think of the ancients as ignorant and backward. This was actually not true. What the ancients lacked was the modern accumulation of facts. An ancient Israelite would have been very puzzled and culture-shocked to have been dumped into the modern world, but he or she could have eventually learned to drive a car or to cook on a stove or to use a cellphone.

The ancients were just as intelligent as we are but the accumulation of scientific facts had not yet reached a critical point. Human knowledge took centuries to double, fact by fact. As knowledge accumulated, the rate of accumulation began to speed up. Every answer exposes a new question. Buckminster Fuller spoke of the Knowledge Doubling Curve which was relatively flat for centuries, then began a slow climb, and then went into an explosive upward thrust.

By the end of the 19th Century, knowledge was doubling once per century. By about 1945, the rate of doubling was about every 25 years. By 1982, the rate was about every 12-13 months. By 2020, the doubling was occurring about every 12 hours. With at least 50,000,000,000 devices now operating and with the rise of artificial intelligence, the rate may now be in minutes.

 

Ca 582-ca 507 BC/BCE: Pythagoras of Samos stresses the mathematical nature of reality. He declares that “All is number.” Along with metaphysical and religious concepts, Pythagoras teaches other subjects including music, mathematics, vibrating lyre strings, and geometry.

25 May 585 BC/BCE: A solar eclipse ends a war between Lydia and the Medes during the Battle of the Eclipse. The battle stopped because of “day turning into night” and a treaty was signed. The eclipse had been accurately predicted by Thales (Ca 640-546 BC.BCE, WBD), a Greek philosopher. He is considered to have been the father of modern astronomy and geometry.

            The end of fighting resulted in a treaty of alliance cemented by the political marriage of a Lydian princess, Aryenis, to a Median prince, Astyages. 

624-546 BC/BCE:  Thales says the Earth’s surface is curved.

635 BC/BCE: Chinese astronomers notice that a comet’s tail always points away from the sun.

780 BC: The first historical mention of a solar eclipse is made in China.

Saturday, June 28, 2014

Magic Squares in Christian Occultism, Part 2


Magic squares became associated with occultism through the practice of numerology. Numerology assigns number values to individual letters of alphabetic writing systems. Individual words or names can be assigned a numerical value by adding the values of their component letters. Numerologists often consider names and words with the same numerical value to be telated to one another in some way.

 Gematria, a form of numerology, began among the Assyro-Babylonians and was later adopted as a practice by the Jews. Words with identical numerical values were considered to be related to one another or to a person whose name could be assigned the same number. Remember that for the first few years, all Christians were Jews. The number of the Antichrist. 666, was recognized to also be the number of the Roman Emperor Nero, Nero Qasr (Nero Caesar).

The Hebrew word, gematria, probably comes from the Greek word, geometria (“geometry”).  Numerology is closely associated with the Jewish Qabbalah tradition, but there are examples within the Bible, where numbers such as 3 or 666 carry special meanings. The primary language for gematria has always been Hebrew. There is a Jewish tradition that God manipulated the letters of the Torah in order to create the universe; in effect, God’s creation of the universe was through the use of numbers; mathematics. The universe does indeed have a highly mathematical structure as attested to by modern physics.

The ancient Hebrews, and later the Jews, were very careful with names because the name of a person carried characteristics associated with that person. An example is Isaac, which means “he laughed” because old Abraham (he was over 100 years old) laughed when he was told that he and the aged Sarah (she was over 90 years old) would have a son. God said Sarah also laughed in secret but she denied it. Their laughter became that of joy and wonderment.

This is where the magic squares and the occultists come in. Because every word can be written as a number, words and even phrases can be embedded into number sequences. Sending a coded message to a fellow occultist, or placing a blessing or  a curse upon a person, could be accomplished by handing them a talisman upon which a magic square of numbers was inscribed. 

This is an attempt to use the power of words, phrases, and names to influence or to alter reality. Occultists believe that if the correct words (spells) are known, the practitioner can force the universe to create good health, wealth, love, and/or personal power. It is also true that malicious persons felt that they could cause disease, economic trouble, sadness, family conflict, and even death.

Even with the biblical proscriptions against involvement with magic, some Christians were fascinated by this.

Next: Magic Squares in Christian Occultism, Part 3   

Monday, December 5, 2011

Another Discussion of Pi in 1 Kings

Yesterday's post was about the use of the mathematical constant, pi, in 1 Kings 7:23.  Today is another answer to the question of whether or not the verse represents an error in the Bible.  The writer of the web article, "Answer to: Does the Math in 1 Kings 7:23 prove that the Bible has errors?" , says the solution to the question is in 1 Kings 7:26.  You have to read both verses to see that two different measurements are being discussed, one is the diameter of the outside rim of the cup and the other is the circumference of the inside rim of the cup.  This may sound like "splitting hairs"but, actually, it is not.  This is not the "Aha! Gotcha!" that the Bible-haters would like it to be.