I always wanted to know why you can’t divide by zero. Here is what I came to understand.

Why we can and can’t divide by zero.

By Robert Dombroski.

We are dimensional creatures.

Our Math is created by dimensional creatures for dimensional use but there are two kinds of logic mathematically, dimensional and linear.

In a dimensional object zero (0) is a reference point where all dimensions meet. Without a dimension say for example length is 0 and width is 2, we no longer have a dimensional object. Zero times anything is zero so all dimensions collapse.

How could you divide by zero than. Being that zero is a reference point where all dimensions meet if you divide by it you would have separate dimensions not an object at all. Most of everything we do is dimensional so we say that you can’t divide by zero.

But you can divide by Zero in linear logic. I have 2 apples and divide them zero times I still have two apples. This is linear logic and different than dimensional logic. In linear logic you only have quantities. There are no dimensions. Zero is a valid quantity. You can still use a multiple with the quantity. Linear logic is very different with multiples then dimensional logic. If your still interested see the work below:

8/1 =4 Shown 1111 | 1111 1 divider 4 on each side

2 * 3 = 8 Shown 2 apples org + (2 apples + 2 apples + 2 apples) = 8

3 multiples

Linear shown 5 4 3 2 1 0 1 2 3 4 5 6 7 8

----------------------------X----------X the difference is 6

2 * -3 = -4 Shown 2 feet 0rg + (-2 feet -2 feet – 2 feet) = 4

Linear shown 5 4 3 2 1 0 1 2 3 4 5

----------------X----------X notice the difference is 6

Literally 16 is actually 8 * 2 or 4 * 4 etc. If you where to divide it you must keep the dimensions so 16/1 is just 11111111|11111111 or 16 because we represent the dimensions as a whole.

16/2 = 8 or 1111|1111 & 1111|1111 = There are two 2 dimensional objects made up of 8 units each.

16/4 = 4 or 11|11 & 11|11 & 11|11 & 11 |11 = There are four 2 dimension objects made up of 4 units each.

2 * -3 = -6

Shown Linearly 6 5 4 3 2 1 0 1 2 3 4 5

----------------X--------------X notice the difference is 8

2 * 3 = 6 2 + 2 + 2 = 6

Shown linearly 5 4 3 2 1 0 1 2 3 4 5 6

-----------------------------X------X notice the difference is 4

Why don’t we use linear logic. Simply when we work linearly you have 2 points on a line, addition and subtraction work great. We use almost always dimensional multiplication as in I want 5 bags of 200 nickels or 1000 nickels for everything else. Bags and Nickels are separate dimensions. Test you brain try to think of a real need for linear multiplication in life. Really hard try to find a real example of needing to linearly multiply a negative number with a positive number.

There still are some issues. It was fun finding them. If you like challenges try and find some of the other issues.

Why we can and can’t divide by zero.

By Robert Dombroski.

We are dimensional creatures.

Our Math is created by dimensional creatures for dimensional use but there are two kinds of logic mathematically, dimensional and linear.

In a dimensional object zero (0) is a reference point where all dimensions meet. Without a dimension say for example length is 0 and width is 2, we no longer have a dimensional object. Zero times anything is zero so all dimensions collapse.

How could you divide by zero than. Being that zero is a reference point where all dimensions meet if you divide by it you would have separate dimensions not an object at all. Most of everything we do is dimensional so we say that you can’t divide by zero.

But you can divide by Zero in linear logic. I have 2 apples and divide them zero times I still have two apples. This is linear logic and different than dimensional logic. In linear logic you only have quantities. There are no dimensions. Zero is a valid quantity. You can still use a multiple with the quantity. Linear logic is very different with multiples then dimensional logic. If your still interested see the work below:

**In linear logic**.*Division*8/1 =4 Shown 1111 | 1111 1 divider 4 on each side

*Multiplication*2 * 3 = 8 Shown 2 apples org + (2 apples + 2 apples + 2 apples) = 8

3 multiples

Linear shown 5 4 3 2 1 0 1 2 3 4 5 6 7 8

----------------------------X----------X the difference is 6

2 * -3 = -4 Shown 2 feet 0rg + (-2 feet -2 feet – 2 feet) = 4

Linear shown 5 4 3 2 1 0 1 2 3 4 5

----------------X----------X notice the difference is 6

**Dimensional Logic***Dimensional division*A value is made up of multiple dimensions represented as a whole.Literally 16 is actually 8 * 2 or 4 * 4 etc. If you where to divide it you must keep the dimensions so 16/1 is just 11111111|11111111 or 16 because we represent the dimensions as a whole.

16/2 = 8 or 1111|1111 & 1111|1111 = There are two 2 dimensional objects made up of 8 units each.

16/4 = 4 or 11|11 & 11|11 & 11|11 & 11 |11 = There are four 2 dimension objects made up of 4 units each.

*Multiplication evaluated linearly*2 * -3 = -6

Shown Linearly 6 5 4 3 2 1 0 1 2 3 4 5

----------------X--------------X notice the difference is 8

*Algebraically*-3 X = X –X –X –X –X notice the first X-X cancel.2 * 3 = 6 2 + 2 + 2 = 6

Shown linearly 5 4 3 2 1 0 1 2 3 4 5 6

-----------------------------X------X notice the difference is 4

*Algebraically*3 X = X + X + XWhy don’t we use linear logic. Simply when we work linearly you have 2 points on a line, addition and subtraction work great. We use almost always dimensional multiplication as in I want 5 bags of 200 nickels or 1000 nickels for everything else. Bags and Nickels are separate dimensions. Test you brain try to think of a real need for linear multiplication in life. Really hard try to find a real example of needing to linearly multiply a negative number with a positive number.

There still are some issues. It was fun finding them. If you like challenges try and find some of the other issues.

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