Euclid's Thirteeen Elements

Euclid's Elements

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Euclid's Thirteen Elements

This chant has played on about where parallel lines meet throughout each Mathematical students education. When I was young and as I write this to you today I have doubts that we can even prove parallel lines are parallel because we do not have the ability to comprehend infinity let alone prove lines meet there. It is all in the humility of understanding how incomprehensible the world really is and to own how very little we know. As humans we are unable to comprehend infinity. It is not within us. We are finite, discrete beings and therefore should no waste time trying to comprehend the incomprehensible let alone delude ourselves into believing we can actually prove anything.

I submit to you that parallel lines aren't even parallel. It is an assumption. And assumptions in many instances can be dis proven. Consider if you will the scenario of parallel lines in Euclidean mathematics bound to properties. Eventually those lines must meet but not always parallel but in non-Euclidean Math they can be parallel we would just have to study things higher than (Low Earth Orbit)LEO to understand them.

There are many assumptions in Euclid's Thirteen Elements but there is also the origin of Euclid's work that is in question. While it is believed to have been produced by a culture in Central America probably Mayan given their advanced ability to study astronomical phenomena, Euclid is embraced by the think tanks of such great Greeks as Aristotle. It exists in Italy as well and in Arab cultures. So the origin of Euclid is well really uncharted territory.



Paralell Lines Meet at Infinity?

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Euclid Across Cultures

What is even more interesting is studying Euclid's Thirteen Elements across cultures. While there is consensus that Euclid's Thirteen Element's are the Element's to study in the Arab version there are actually two Elements which are traditionally embraced by our Mathematical Scholars. Readily, I submit the Elements have not been argued thoroughly enough to be accepted in a traditional Mathematical setting, I readily submit that those elements should not be disregarded either. If the Arab cultures have kept the two extra Elements they must have some intrinsic value as they would not have existed for so long.

Arabic Euclid's Elements

Can you guess which os the Elements were in the Arabic version of Euclid's Thirteen/Fifteen Elements

  • Illusion
  • Phenomena
  • Both Illusion and Phenomena
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New Areas of Research

I would say that the study of Phenomena is Science. And the truest measure of Science is Mathematics. This opens new areas of research by embracing both illusion and phenomena and completing the Mathematical arguments. Like the Pythagoreans did of their day we too should embrace the tenants of Illusion and Phenomena and complete the mathematical proofs.

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Comments 4 comments

Craig Suits profile image

Craig Suits 5 years ago from Florida

JT...

I think the keyword in this hub is "proof". Probably because that's about the only word I understood (I'm not to hot in the math department). However, I too published a 157 thousand word book a while back about the immediate danger we're all in as a result of our religious organizations and the secularism they create.

Many many times in the book I refer to the word "proof" as being our saving grace if all of us simply questioned our embedded religious training and searched for provable truths.

One can always come up with a creative argument rendering a solution to any question impossible.

My point is that if two parrallel line are indeed parrallel, it's simple enough to prove with a tape measure. I know that's a simplistic assumption but It's all we have to go by at the moment so we must stick with that fact until we come up with a more accurate solution and move on to the next problem.

There will always be people looking into infinity for a better understanding but that's what they do. If most of us delude ourselves thinking we've got the answer to a question we've given our best thought to, then so be it. That's got to be it until someone comes along a disproves us. Not trying to resolve a question even if it takes us into other dimentions is not in our nature either...


JT Walters profile image

JT Walters 5 years ago from Florida Author

Thank you for your comment.

I have read every word of Euclid and so has my son. Paralell lines have to be proven Mathematically and they haven't been. It is actually an assumption much like the belief in God or other religious symbols. Just as it is an assumption there is an infinity or that we could even delude ourselves into thinking we as finite beings can comprehend the incomprehensible.

As human beings we are taught so many things that we are to assume are true and it is those assumptions that cause us the majority of our problems.

Congradulations on your book. It is quite an achievement.

You might be interested in my Michelle Backmann Jesus Christ (JC) wants you to speak the Truth and since you are in Brandington. I have severla Hubs up on hurricane preparedness. I have included coupons for hurricane supplies and evacuation routes.

Again thank you for responding. Congradulations on your book and I am following you now.

All My Best,

Jt


Craig Suits profile image

Craig Suits 5 years ago from Florida

Sounds like we come from the same school there JT. I love talking to intelligent people I can learn from. That thesis Lilith did on time is an amazing piece of work. She's something else for her age.

Right now I'm in NJ helping a son get a business started but I'll be headed back to the Tampa area soon. Way too cold up here for my Florida butt.

I always thought Euclid was a town in Ohio that's how much I know but I'll be looking into it now. The last book I read was written by an astro physisist and entitled "The God Partical". Wow! those guys have got to be the deepest thinkers on the planet. One of his calculations actually had 82 zero's in one number. Talk about infinite.

I never even graduated high school let alone had a formal education but since I was 15, I'm been hungry for answeres especially in fields I know little about. I would have loved to have gone to MIT but I was busy raising 4 kids by myself.

Anyway I'm happy to meet you and I'll be arguing Euclids 13 whatevers with you soon. :>)


JT Walters profile image

JT Walters 5 years ago from Florida Author

I agree Liith is great. You must have been to Ohio to understand the connection between Ohio and Euclid.

I'm raising my son on my own as well.

It would seem intelligence isn't in the book knowledge but that application of living life. Hey, I love Nj and I could really use the break form the heat but I am Floridian.

Happy to meet you as well and I look forward to any argument you have to provide.

All My Best,

JT

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    JT Walters291 Followers
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    JT Walters has a Master's of Science in Behavoralism from Florida State University. She is a researcher in many professions in Florida.


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