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Juilingstar177

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  1. x = x can be termed as one of the most basic and fundamental law ofarithematical mathematics. This law can easily be proved as. Let x be not equal to x. then let x=1 and x=2 but 1 is not equal to 2 (logics) hence, x=x. Don't you feel the power of this equation? Even of it's simplitiy, if thisproved wrong, will thorougly devastate the present treatment of mathematic,making each and every constant power to attain a variablic value. x=x and x+ function=y : x = y or x is not equal to y made the whole arithematic mathematics. We build on these two basic axiomsand made what see as a mathematics. Logical Deduction. Logical Deduction were building blocks of Arithematics. We made different typesof functions, we found different values of x or y and we are still building on.But the basic problem in the modern mathematics we suffer is lack of logics.Logics are only limited to axioms and postulates, and logical deduction is nowtreated different from mathematics. This undifferent treatement have greatedbig holes in our treatment of mathematics. One of the biggest problem is treatement of value of pi. Logically, it is notpossible to find the value of pi. This is because of the following logicaldeduction that even if we go to atomic level we will find that circles are notcircles. They are just a polygon with finite no. of side. Hence the value of piis not defined and can never be found. But this logical deduction could not betreated in mathematical concepts. Also, if we divide 10 apples among 0 people, we get 10 apples. Won't we?Obviously. Let's take a simple example. Consider you give 10 people a party.But unfortunately, no one comes. So, the apples you kept for them remains thesame won't they? But Mathematics treat it undefined. So, we are moving away from Logics in Mathematics. We are just pushing awayour fondations by not agreeing logical treatments in mathematics, and givingthem more priority over other mathematical concepts.
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