Jekyll2020-10-08T13:29:04+00:00/en-blog/feed.xmlFaresMathematics, Computer Science, and other stuff related to these things.About our knowledge, and that tools we don’t have.2020-09-23T18:26:00+00:002020-09-23T18:26:00+00:00/en-blog/2020/09/23/About-our-knowledge-and-that-tools-we-don't-have<p>When I was young, I tried to do a research paper on Electricity, I wanted to participate in the National Science Olympiad, at that time I was in a small village, a village that it schools(Intermediate and High) contains almost ~300 students, and I think it’s clear it doesn’t contain a lab, so I decide to research in either Theoretical Physics or Mathematics, but.. I faced almost the same problem: I don’t have enough knowledge to do that. Of course, I didn’t realize that at that age, so I started to blame myself: why I’m not like those who can work either on Electricity, Physics or Mathematics? why I’m not like them? is myself-ability the problem? those days, I hurt myself both physically and emotionally because of that.</p>
<p>After a long journey, and moving to another city, by now I can say: myself-ability wasn’t the problem. But my education was. why? I will tell you.</p>
<p>The human knowledge is like stairs to the truth, and when somebody asking you to research something: you either have the tools to deal with that thing, or you have to look how others dealt with that before, so you know their mistakes to learn and add a new step to the big one.</p>
<p>The main stairs in our minds come from our environments and educational system, and the clearest example is our languages. We find that our languages differ depends on our environment and what we learn in elementary schools. We don’t expect from a man living in the Arab World to speak English unless he met someone who left an effect on him, that’s because “Arabs” talk “Arabic”.</p>
<p>The same when we become to other sciences, we shouldn’t expect anyone knows about that science unless he learns it from someone or he discovers it, but his discovery leads us to say that he either a liar(so he needs to prove!) or he already knows something before that from someone. When we become to Mathematics especially, our tools are our ideas, and our ideas need to develop and know the details well, we cannot prove a lot of Geometerical Shapes properties unless we know the Axioms of the Euclidean Geometry and some of the Logical Structures, we cannot prove that “the square of an even number is even number” if we don’t know what we mean by “square”, “even number” if we don’t know what is the Mathematical Definition of “even number”.</p>
<p>Many critical problems in the middle east we don’t know how to solve it, because we don’t have the tools yet to solve it, and that because nobody in our communities has that knowledge that makes him solve those problems, because of our ignorance.</p>
<p>By this time, I don’t blame myself. I blam my educational system and community. My ability wasn’t the problem, and I didn’t do anything wrong.</p>When I was young, I tried to do a research paper on Electricity, I wanted to participate in the National Science Olympiad, at that time I was in a small village, a village that it schools(Intermediate and High) contains almost ~300 students, and I think it’s clear it doesn’t contain a lab, so I decide to research in either Theoretical Physics or Mathematics, but.. I faced almost the same problem: I don’t have enough knowledge to do that. Of course, I didn’t realize that at that age, so I started to blame myself: why I’m not like those who can work either on Electricity, Physics or Mathematics? why I’m not like them? is myself-ability the problem? those days, I hurt myself both physically and emotionally because of that.What I learned from Mathematics.2020-09-20T15:12:00+00:002020-09-20T15:12:00+00:00/en-blog/2020/09/20/What-I-learned-from-mathematics<p>I start learning mathematics in 2017, when I realize mathematics as trivial and obvious ideas, at that time it wasn’t clear for me what mathematics will give me, and makes me different in the following years.</p>
<p>First, mathematics made me somehow more imaginary guy, a guy who can “see” the solution, who can just by looking to a symbol understands the meaning behind it, and what is really going on under the hood. It makes me feel like I see what others don’t see, and understands relations between things seems unrelatable.</p>
<p>Secondly, in mathematics we create systems, we study things in a very abstract way, in a way that gives us the ability to understands and know every detail. At an early stage in my learning journey I wasn’t a details-oriented guy and I never been before, but now I care and found my self reply to my professors: “in which system you are talking? and did you define things precisely? – this is not a complete proof..etc”, I start to realize that mathematics is more about how much do you know about the subject than anything else, and like what Terence Tao once said:</p>
<blockquote>
<p>“the devil is in the details in mathematics.”</p>
</blockquote>
<p>Thirdly, I start reading many mathematical books in different subjects, that’s learning process makes me know how to deal with different mentality since each topic has his own mentality and each mathematician has his way of treating that subject, all mathematicians talking about the same subject, but each one have his own vision and his own way of thinking, and that comes from their different environments and their different personality, even some mathematician when they grow up they develop a very different vision for the same subject – and that’s learning in mathematics!</p>
<p>Fourthly, mathematics is “Freedom” at its heart, freedom in thinking, writing, treating, doing, and explaining your self through your developed ideas. You cannot be a good mathematician if you stay in that “standards” of thinking and doing. Mathematics learns me how to be more peaceful with things I’m not sure about, things that I could be wrong about it, and all of that comes from that freedom.. since that freedom stands on “proofs”.</p>
<p>Fifthly, there are many approaches to deal with problems, and always when you facing a hard problem, first look at its heart, and what are the tools you have and are these tools enough to solve your problem? many times, No. Then, you need to search for tools in your memory, in your life, in a book, in a research paper, just for a tool that you can apply it to solve that problem. In many fields in mathematics, we facing something like:”Algebraic Geometry”,”Topological Algebra”,”Algebraic Number Theory”, all of these fields comes since we don’t know how to solve a very very simple problem, many theorems we can’t prove it using an elementary tool, so we have to develop tools that give us that ability to solve. I see mathematics as the leader of the human evolution in dealing with this world, since we develop tools that everybody uses it after us.</p>
<p>Sixthly, it maybe something far from mathematics, but it’s related to it. Mathematics gives me the ability to learn quickly and learn other things faster than before. Why? and how?, I think -and this is a personal opinion- the reason is that mathematics is an abstract language, a language that anyone can talk it, so when you dealing with that language many times, your mind starts to see things in an abstracted way, so you can understand things at its heart in a very fast way. For example, when you dealing with Computer, if you are a mathematician you can see every movement you do on the screen as a “Function”, everything on the screen as a “repeated small squares”(which is Pixels), Videos, Images as “Geometrical Shapes”(Which is large set of Pixels), Networks and Devices as “Graph/Vertices/Edges”, and so on. you see things in a very different way, and that give’s you the ability to be a quick learner.</p>
<p>– This article not finished yet.</p>I start learning mathematics in 2017, when I realize mathematics as trivial and obvious ideas, at that time it wasn’t clear for me what mathematics will give me, and makes me different in the following years.Post#1!2020-09-20T14:14:19+00:002020-09-20T14:14:19+00:00/en-blog/2020/09/20/Post#1!<p>Hello, welcome to the first post in this blog. I’m aiming to share what I learn and think about in the next years, and write about several things in an informal way of thinking and writing.
I prefer to have more freedom in the language than the academic language.</p>
<p>Subjects maybe I talk about next weeks:</p>
<ul>
<li>Group Theory.</li>
<li>Differential Geometry.</li>
<li>Computation Theory.</li>
</ul>
<p>See you soon :)</p>Hello, welcome to the first post in this blog. I’m aiming to share what I learn and think about in the next years, and write about several things in an informal way of thinking and writing. I prefer to have more freedom in the language than the academic language.