Contradiction is a fancy word which means that we will assume wrong to the statement which has to be proved and we will proceed while doing this we will be slipped to a loop hole where it will fails so which leads to the situation assumption might be wrong .Hence the statement might be true.
That’s ok .Now continue to the discussion. When n=1
Here 1 is a single person .let us assume that person is me .so we have to prove for the single person(here for me).So in order to prove the above theorem we have to prove the short lemma
Lemma :I love mathematics
Proof by contradiction :
So we will assume I hate mathematics.
Again in order to prove this lemma we have to use another short conjecture
Conjecture:Each person in the world is addicted must be addicted to something.That thing may be a music,person(boy or girl),money,gold etc.(this is also true for saints where they want to attain mukti or whatever may be)
So according to this conjecture I must be addicted to something.
Let us assume that thing may be music .
Eventhough I am in love with music only I am indirectly loving a part of mathematics associated with it.
Since the music produced by violin,clarinet,or a person atlast it will be in the form of a wave .so which implies that I am in love with specific transformations produced by them
So which leads to a contradiction.so our assumption is wrong.Therefore it implies that I love mathematics.
So we have proved for n=1.
So let us assume that the above statement (everbody loves mathematics) is valid for n=k.(here k is nothing but k persons)
So we will prove it for n=k+1
Since k+1=k +1
Since the statement n=k persons and also for n=1person has been already proved by us
So n=k+1 is true.
In order to understand this simple number theory concept may help you.
If 6 is divided by 3 and 9 is divided by 3 which implies that their sum is divided by 3.
Hence the theorem is true
That is everybody loves mathematics
Still if you are saying I hate mathematics then it means you are pretending like girl’s attitude,which means that in their terminology I don’t like it means I like it.
Anyway for some people relationship is visible(in terms of c language pointer to a variable) and for some people the relationship is just hard to see(in terms of c language pointer to a pointer to a pointer).
e.g
point p has a direct relationship with a circle which can be clearly seen. Point p has no direct relationship to a circle which does means that it has no relationship at all.
Since both must be in a space ,through that space they are related.
In the above concept mentioned circle is the mathematics and the point is the thing and the relationship has been provided by observer.
Hope you understood
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