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Philosophy of Mathematics

Is Mathematics really Hard?(specially for those who hate it).I have expressed my views regarding mathematics.How Mathematics is associated with all walks of human life.

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Is Mathematics really Hard?(specially for those who hate it)



Revelation of Mathematics
Actually when I joined mathematics I didn't like it but at the end I started feeling its inner weird structure .But right now I am a lover of mathematics.In terms of mathematics I have moved from minus infinty to plus infinity.How much I have hated
mathematics that much I am liking now.


First reason why you hate Mathematics is specially because you has been not taught mathematics in such a way that you see its fun features and it's applications.This is not your mistake .But you can try to correct it atleast after reading this.
Actually it will take years to post the philosophical concepts taught by mathematics so i am posting few of them.

some people may say god does not exist anywhere rather he exits within you similarly Mathematics is not a third person, it's you within you .
once you completely read the post you will understand that Mathematics is an openbook for open minded people.

how to learn(enjoy) any subject especially mathematics
Things that I want to share.This is my own ideas .If anything hurted you sorry for that.
(1)Mathematics is the bridge between real world and the abstract(virtual world)world.
Mathematics is like a magic box those who able to grasp the concept can see the box but those who doesn't able to get the concept can't see the box .Anyhow the thing the box is there that you can't deny it.Actually that box is not magic you are thinking it as a magic ,that is what you are creating an illusion ,this will be done by people those who doesn't able to get the concepts.It's not their mistake .
In simple words
if p then q (statement)
if not p then not q(inverse)
where p=>if you think it is possible and q=> then it is possible


(2)Mathematics teaches you flexibility
for some problems in order to understand it you have to take the bigger set and for some problems you have to take the smaller sets.
what I am speaking now may look weird to you so I explain it with an example
I will explain how to find the consecutive zeroes of any factorial in my later post.for time being just see the below I have posted answers
let us take an example of finding zeroes of 100!+ 200! and 100!* 200!
100! has 24 zeroes
200! has 49 zeroes
if you consider now 100!+200! at first it may look weird to you (that's what I meantioned it as a magic box ,once you come out of illusion or shell)by considering a smaller set like
10000 It has 4 zeroes and it is a 5 digit no
+2000 It has 3 zeroes and it is a four digit no
12000 It has 4 zeroes and it is a 5 digit no
Thing to be noted here from this one that in the resultant(output) only there are three zeroes even though first no(input) has four zeroes what happened in the intermediate .Why is it so there is no magic in that because one of the zeroes in the first no (input that is 10000)has been overridden by a nonzero no in the second
no(input that is 2000) so from this what we infer .
Syllogism concept two statements are given from this what we are observing
one has least no of zeroes is the answer so for the first one
the no of zeroes of 100! + 200!
the answer is 24zeroes .(since 24 is the least one from 24 and 49)
Now move to the second one find the no of zeroes of 100! * 200!
similarly consider an example you may also consider the above example which i used previously also so i am taking the same example for the illustration.Also it is easy because i can copy paste since I am a bit lazy fellow
10000 It has 4 zeroes and it is a 5 digit no
*2000 It has 3 zeroes and it is a four digit no
20000000 It has 7 zeroes and it is a 8 digit no
similarly by considering so many examples like this we can observe the following result
the no of zeroes in the resultant=no of zeroes in the first no(first input)+ no of zeroes in the second input
so the answer for the no of zeroes of 100!*200! is 24+49=73 zeroes

3)Mathematics is the mother of reasonings

4)The great advantage of disadvantage of Mathematics is its advantage ,what I mean by that ?.Everyone knows that philosophy is a subject that teaches concepts about us and our idealogies .But do you know that the mathematics teaches you but everyone can't realize once again as I said previously those who able to come out of their shell can realize this .That's what the way it teaches you is the problem (when you didn't come out of your shell).so what I want to say that Mathematics teaches you a philosophy of life.


5)For my next idea I will start with an example so you can easily get what I mean.let us consider an input as your life .There are various reactions (factors or what I mean here is people or a living thing) affecting your life some may be positive and some others not .Based on these influences you are attracted towards some people only .let us take an example you have came across 30 peoples and you feel that you are attracted by 10 peoples ad you are creating an niche(image) that they are good peoples .From this you can't infer that they are the good people in the universe because there are so much people left over there that you have to consider .(I have used unintenionally 2nd idea here)


6) what most of the people are doing? .once they come across a formula they are just memorizing it and (it looks like a magic box for them) they are just using that without realizing its inner meanings.


7)Mathematics also helpful in understanding what is mean by understanding.As everyone knows what is meant by understanding that is nothing but how do you connect older stuff with the newer stuff.


8)x=y =>x+2=y+2.
Is this just performing calculations.The part of mathematics which teaches you the concept of impartiality to others.Whatever you have done to other side do it for everyone.


9)Another best philosophy taught by mathematics is just don't see the things rather observe the things.But most of the students are not doing it you have to get your hands dirty why is it .what is happening behind them.In this way the mathematics is build.That's why when one mathematician come up with a new idea that will be discussed by all mathematicians to infer that whether it is true.In this concept the mathematics related to a beautiful quote by thiruvalluvar
Epporul YaarYaarVai Ketpinum Apporul
MeiPorul Kanpdhu Arivu - couplet 423

To Grasp the Truth from everywhere
From everyone is wisdom fair. (Translator: Yogi Suddhananda Bharathi)

10)See the things in a way rather than it is in order to explore the new concept out of it.When you look at the same thing in a same way it's mysterious concepts can't be revealed to you.In order to understand this I will give you an good example.Consider a subject called Nanotechnology.What is the concept behind Nanotechnology when you take a one thing and break it and break it and at last at a certain stage it will exhibit some mysterious features that is fully complement to its original size.what I want to say from this Don't look at the thing in a same prespective rather look in another way than it is so you may learn some more new things.similarly like nanotechnology I am giving an specific exapmle,In mathematics you can consider an example of cantor set[0,1].


11)Don't do shallow learning do deep learning.What I mean by that don't just study and forgot rather apply it in your life so that you can realize the consequences and sometimes you may see the real differences what you studied and what you applied and what you infered.Especially this is true when you come to computer network security concepts


12)As you know the proverb "old is gold".This is certainly true in terms of mathematics . older concepts are used in newer concepts in order to prove the newer concepts especially in theorems.


13)measuring some certainity about uncertainity.you can realize it I am specially speaking about a subject called probability.for example what is the probability that men will be pregnant? That is known for sure it can't occur .So like these mysterious concepts can be studied by taking this topic in a depth.


14)Everyone knows "Images speak louder than words " and "A Journey of a Thousand Miles Begins With a Single Step".This is specially true when it comes to a visual subject called Geometry .Geometry concepts build up from a single entity which has no dimension that is called point.So mathematics also teaches a universe pronciple called "Everything came out of nothing".


14)Mathematics even teaches you the principles towards God.see actually God is an abstract quantity the person you can't see rather you can feel.But eventhough you are considering the person by considering an small statue that too in different methods adopted by different religions.How Mathematics is linked with that?.In Mathematics the god is nothing but infinity (undefined entity)everyone knows that he exists but who he is (infinity) doesn't understood by anyone.It's all upto your views.How much big you can image that much is the infinity for you .for a child the big number may be 100,for you the big number may be 100000000000000000 .The range varies based on your open mindness.
source image linked from : http://math.yorku.ca/infinity_old/
helpful site to know about mysterous features .



15)Last but not least the main principle or philosophy teached by mathematics is that
certain things can't be said ,those things need to be experienced or in other words if you want to learn one thing you have to become that thing.In order to understand what I mean you should see a movie called Dhavani Kanavugal where Bagyaraj will slap Radhikha that scene especially if I want to say.

so atlast what I want to say Mathematics is like a engine and decorating parts of a scooter is nothing but computer science.
In terms of visual basic if I want to say computerscience is nothing but caption where as mathematics is name.Caption creates an illusion play the role of a name till you didn't come out of your shell(as I told previously the magic box)

Conclusion:
everything based on context and your views
You may think that this point is not relevant to this post but it matters much more than you think
I am going to relate mathematics ,english ,php ,javascript and epic Mahabharatha.
ok i will start with an example .
If I started saying six is an prime number you may started laughing because six ix composite according to you because you have considered the natural numbers or counting numbers as a set.But you don't know what set I have taken .
ok I will reveal on my own.I have considered the following set
{2,4,6,8,10,12,14,16,18,20,22,24.....}
now revise the prime number definition and come here
Anything which can't be expressed as a multiples from within the set then it is called prime .so 6 is a prime
since in order to express 6 you need a 2 and 3.But 3 is not present in the above set .so 6 is a prime when you consider the above set,where as {4,8,12,16.....}are composite .And {2,6,10,14,18....} are prime since in order to express it as prime factorization you need the odd numbers {1,3,5,7,9...} which is absolutely not present in the set.

Now I will give an example through php and javascript,but before that I want to ask you one question what is meant by an array?.You may started laughing Why this fool is asking such an question .An array is just nothing but a set of homegenous data types in contionuous memory location .But in case of php and javascript array need not be homogenous.so we need to do some alteration to the definition of array.An array is nothing but a continouous memory locations but need not be homogenous.so you should not come to a conclusion based on the languages c,c++ and java.But in languages like php and javascript you no need to declare datatypes before they use.

I didn't start with the english language since it is obvious.As you know one word have many meanings based on the context it will mapped to a specific vocabulary.So I think I don't need to tell more about this.

Now I will proceed with the connection with mahabharatha.In Mahabharatha at the time of battle Arjuna will ask krishna whether that he should kill his fellow members.For that Krishna will say this thing in order to convince Arjuna,"Everything is good or Bad it's all upto you .The people you think may be good to you at the end may nod be good to you and the people whom you think may not be good to you may be good to you .This has been described perfectly in a film called Gokulathil Seethai,specifically in one scene in which suvalakshni conversation with Karthik.so you can't judge anything by it's external look so go internal in order to feel it's inner beauty.That is why interview is conducted.Interview is just nothing but an a conversation that has been conducted in order to find your inner views.SO Math is fun or not fun it's all upto you ,but the thing is that since you considered the math is not fun it doesn't mean that math is not fun for all .Also you may see that in this post I have used the phrase "I want to say that " like that again and again .Why is it so?.When you started liking anything you want to say it is good and nice by thinking to say finite no of things favouring towards that .But when you started you won't be able to end you will be in a oscillating sequence whether to end or not .This is specifically you can notice from the teachings of great professors .Most of the times they will reflect this in their behaviour.But anything which has been started has to come to end .So I will end here .My words may end here but my intentions may not,hope you understood.


Responses

3 Respones to "Is Mathematics really Hard?(specially for those who hate it)"

Unknown said...

its very nice and relating so many subjects i can't think like that


September 8, 2010 at 7:37 AM
Baranitharan said...

hey good work da. some facts are awesome. keep rocking


September 13, 2010 at 8:13 AM
congenial said...

nalla iruku
and I dont hate maths,..


October 4, 2010 at 6:57 PM

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