In order to aid those of us who want more from Math, we observe patterns,
Math has many definitions making it seem so mysterious. We have all learned arithmetic and some level of geometry and calculus (and algebra). The basis for all these appears to be digits, numbers, percentages, shapes, colors, vibration/frequency and something we like to call variables. Although we can build and create with these elements, they by themselves and including their conclusions, leave much unanswered.
In order to aid those of us who want more from Math, we observe patterns, results and analysis formed upon Logic. So true Math that has complete answers can be found by studying Patterns and deducing conclusions from Logic. Or in other words, what is provable. When we deduce our answers from Observational Analysis based on Logic (Provable) then we are provided with Correct answers, Peace and Fearlessness.
Wiki on Mathematics concludes observing patterns is to develop more conjecture!
The current Wiki on Mathematics concludes observing patterns is to develop more conjecture! What on Earth has happened here?
From Wiki: Mathematics includes the study of such topics as quantity, structure, space, and change. It has no generally accepted definition. Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of conjectures by mathematical proof.
Then to top it off, we are telling our up and coming students to fact check pattern observations with theoretical calculations! Leaving them begging for citational references based on hypothetical conclusions. And Elon Musk and Geordie Rose are their heroes! Hey village elders! Do you see what we have left undone?
Where we find conclusions based on hypotheticals, theories and opinions.
Instead of doing a 10 minute experiment that is simple, repeatable and observable – we have taut our young to rely on TV, Smartphones and YouTube. Where we find conclusions based on hypotheticals, theories and opinions. Then our young take these iconic role models (as most parents are too far gone) and they have created a comfort zone reality they can cope with. As said earlier, what price will us village elders pay for ignoring this?
The mathematicians of ancient Greece made a hugely significant contribution to world thought and all practical subjects which depend on that intellectual basis, from geometry to engineering, astronomy to design.
The birth of Greek mathematics owes its impetus to the influence of some of its neighbors, especially Egypt. During the 26th Dynasty of Egypt (c. 685–525 BCE), the ports of the Nile were opened to Greek trade for the first time and important Greek figures such as Thales and Pythagoras visited Egypt bringing with them new skills and knowledge. Ionia, in addition to Egyptian influence, was exposed to the culture and ideas of Mesopotamia through its neighbor, the kingdom of Lydia.
What the Greeks derived from Egyptian mathematics were mainly rules of thumb with specific applications. Egyptians knew, for example, that a triangle whose sides are in a 3:4:5 ratio is a right triangle. This was because in order to form right angles, the practical minded Egyptian land surveyors used a rope divided into twelve equal parts, forming a triangle with three parts on one side, four parts on the second side, and five parts on the remaining side.
A trend came to be to allow for hypothesizing called The art of deductive reasoning.
They concluded at the time that by ‘saying’ the word reasoning they had stated Logic. However, reasoning is not Logic.
“A trend came to be to allow for hypothesizing called The art of deductive reasoning..full article: https://magneticmagic.net/2021/07/03/what-is-mathematics-what-does-it-mean-to-the-future-adults/Tweet
Mathematics became linked to theory and hypothesis by calling it deductive reasoning. The first in historical / scientific use of ‘gobbly gook’, or in Hebrew gibberish or in modern English, YADA YADA. In man’s desire to be unchained from his own eyes, he found an argument to use theory and make believe or unprovable arguments, to enhance exploration of the world around him.
Today we have calculus and trigonometry to further the use of hypotheticals and advance further, unprovable theories. Then we teach our young to memorize, repeat and hold these theories in their hearts and minds as absolute fact. What young person can you help with this today?
The Greeks came to believe that deductive reasoning, which was incredibly successful in mathematics, was also the only acceptable way of obtaining knowledge in every other discipline. Observation was undervalued, deduction was made king, and Greek scientific knowledge was led up a blind alley in virtually every branch other than exact sciences. This overestimation of mathematics can be seen in a quote from Galen:
Whereas time causes grief and other emotions to alter and cease, when has the mere passage of time ever persuaded anyone that he has has enough of “twice two are four” or “all radii of a circle are equal” and made him change his mind about such beliefs and give them up? (Galen, On the Doctrines of Hippocrates and Plato 4.7.43)
Will we repair our own thinking first and then pass it on as our legacy?
Deduction was made King and the Man Agers of today know the value of keeping us in deductive mode instead of in Logical mode where conclusions are based on provable things, only. What will us village elders do about this? Will we repair our own thinking first and then pass it on as our legacy?
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