Finally the math mystery is solved!
1/0 ≠ Infinite
Math is the Language of Representation of Reality in Certain Definite Forms
For example, we represent time in hours, minutes, and seconds.
We represent distance in kilometers, and so on.
Everything has its own way of representation and units.
But math is not just limited to this —it goes far beyond!
It is the language that represents the nature of reality as well!
We limit math to understanding basic things through basic rules, but math itself is not limited —it is unlimited.
Math is a beautiful language of representation of certain rules.
Let’s explore certain mysteries of math:
When I have something to give to you, I will give it to you, right?
If I express this same thing in math, it would be written as:
1/1 = 1
Suppose I have four things and I want to give them to two people, I can express this as:
4/2 = 2
That means each person gets two equal pieces of what I had.
Hence, we can form a formula for division:
A/B = C
This also means that if two people each get two equal pieces, the total number of pieces is 4. Or, expressed mathematically:
B*C = A
This action (expression) also represents that the probability of the existence of A through the multiplication of B with C depends on the value of A itself!
It means it was predetermined that the multiplication of B with C will always give A, no matter who performs the action or where it is performed.
And this certainty binds us to limitations!
The Problem with Division by Zero
But the problem arises when I have something and I want to give it to "No one" —what will that "No one" get?
Or, in simple math,
1/0 = ?
Traditional math fails to explain this.
It states that one cannot be divided by zero.
They use logic to explain this concept:
"If one is divided by half, it will be doubled!" I wondered!
1/0.5 = 2
But how?
If 1 is divided by 0.5, it will be 2 —because the one whole has been split into two equal parts, but it has not doubled.
Example:
If I have one mango and I want to give it to two people, I will cut it into two parts. The same one mango is now divided into two parts, but it has not doubled — it has just been split into two equal pieces.
Hence, the outcome is the relative value of the dividend.
What Happens When We Divide by Numbers Near Zero?
If 1 is divided by 0.01, the answer is 100 (100 parts of one).
If 1 is divided by 0.00000001, the answer is 10000000.
If 5 is divided by 0.0001, the answer is 50000.
Now, if 1 is divided by 0 (or a number approaching zero), the answer approaches infinity.
But this makes no sense because if I have one apple and I give it to no one, I will never have infinite apples!!!
Thus, the logic that 1/0 = infinity is not completely true.
The real truth is that 1/0 = infinite divisions of 1 whole.
It represents a relative value, not an actual infinite number of parts.
However, in practice, an apple cannot be split infinitely —because making infinite divisions of an apple would destroy the apple itself.
But if I give that apple to (imaginary person) "no one," the apple still remains the apple!
This introduces a new concept — the perception of the state of an item and the value of the item.
The Perception of Division
With common logic, 0.0001 represents 1/10000 —which means you are dividing something into 10,000 parts.
So, if you divide 1 by its ten thousandth part, you get 10000.
1/0.0001 = 1/(1/10000) = (1*10000)/1 = 10000
Thus, when dividing 1 by a very small number, the answer represents infinite possibilities of division.
But if division is by absolute zero, the answer must be 1 itself (infinite parts of 1 ~ the whole one itself!)
Why?
Because, zero represents the absence of the division process itself. So, the only existence of the divisor will be there. However, we never consider the divisor as an answer because this makes no sense in practical life except from the apple’s example (if I have to give one apple to “no one {imaginary person}”, there will be one apple with me as a debt!). But this is for our understanding, not the real answer. The real answer is: “Any number divided by zero yields no answer because this is a category error. Zero itself indicates absence of division process, how can we still perform the division?” So, this problem arises due to the Aristotelian Logical Reasoning system as a main foundation of mathematics.
Zero is a state, main reference point (from where all the numbers get their values), and value itself. So, Zero has three characteristics. While other numbers are just considered as values.
One more thing:
Math often represents possibilities rather than absolute values.
For example,
1/10 ≠ 0.1
But why?
(Certainly, 1/10 = 0.1, but not with absolute certainty! -- One of such example is: Square root of any number let's say: Sqrt 25 = ±5)
1/10 is a future action, while 0.1 is a past action. -- Therefore, it is the philosophy of mathematics!
Mathematically,
The left-hand side (LHS) is an action to be taken (future action).
The right-hand side (RHS) is the fruit of that action (past action).
Thus, 1/10 is not equal to 0.1 unless there is an observer performing the division!
We normally say that LHS = RHS
But, it is only true if we can prove it or perform the action.
Because,
√25 is not always equal to +5.
So, I cannot put LHS = RHS for √25 and (+5)
I will have to use ± sign.
That means the RHS has two possibilities, right?
That means there is certainty to the answer but not absolute certainty due to different possibilities.
And, this understanding draws my mind to the most famous Sanskrit shloka of Bhagvad Geeta (BG 2.47);
कर्मण्येवाधिकारस्ते मा फलेषु कदाचन।
मा कर्मफलहेतुर्भूर्मा ते सङ्गोऽस्त्वकर्मणि॥
That explains to us that: We can perform our actions, but there is no absolute certainty in its results. Because your result could be from the different past actions.
Thanks :)
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Copyright by Yagnesh Suthar
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