Originally Posted by
shounakbhatta Is Zero A Number?
We all know that 0 is a number? But the magic lies somewhere else?
1,2...... are all numbers. 1+1 =2 which is again a number, 2+9 = 11 which is again a number, even 2-2=0 which is also a number.
But,
0-0 =0, 0+0 =0, even 0/0=0. That means, zero added, multiplied or subtracted with it results in zero (0), it self, which means it does not result to another number, which is true in the above cases, precisely, <any integer=""> - <any integer=""> = <another integer=""> not the number AGAIN. </another></any></any>
But what if we combine together all the positive numbers with all the negative numbers? We can write this as an equation. At first it seems like if we try to sum all numbers into a single ultimate number; if we sum all the positive numbers with all negative numbers, then the total combination of all in question would sum up to zero, as shown below.
(1 + (-1)) + (2 + (-2)) + (3 + (-3)) +... = 0 + 0 + 0 + ... = 0
Why it is so?
The Brihad Aranyak Upanishad states:
purnam adah, purnam idam purnat purnam udachyate; purnasya purnam adaya purnam evavasisyate
The Upanishad says,Purnam adah: that origin of all things is full;
purnam idam: this entire creation that has come from that origin of all things is also full;
purnat purnam udachyate: from that Full this Full has come;
purnasya purnam adaya: having taken away this Full from that Full;
purnam evavasisyate: the Full still remains unaffected."
Mathematically, <integer> - <integer> = <lesser integer=""> i.e. 2 - 1 = 1.
If we take away infinite from infinite, the Infinite is not reduced in any way, because one cannot take away anything from the Infinite. Therefore, if this so-called infinite of creation is taken to have emanated from that supreme Fullness of Infinity, it need not follow that there is some diminution of content in the original Fullness.
Hence whether you add, subtract, multiply or do whatever with 0 it would result to the same thing as because you cannot take anything away from the infinite.