Philosophy Now Forum

1. You have 1 line.

2. This line is divided by a 0d point.

3. The resulting line is 2 lines in one.

4. You have 1 line.

5. The line is divided by 2 0d points.

6. The resulting line is 3 lines in one.

7. Division by a 0d point (0) is equal to x+1 with x equaling the number of points. Considering x equals a number points each 0d point (0) is equal to one.

I think you are confusing the Euclidean dimensionless point with the number 0 itself.

alan1000 wrote: ↑Mon Dec 27, 2021 2:23 pm I think you are confusing the Euclidean dimensionless point with the number 0 itself.

A dimensionless point is nothing thus 0.

I'm afraid that doesn't really clarify my problem. Can you give more detail?

alan1000 wrote: ↑Sat Feb 05, 2022 4:07 pm I'm afraid that doesn't really clarify my problem. Can you give more detail?

0 is the quantification of nothing; a 0d point is nothing thus to quantify it is to use 0.

Eodnhoj7 wrote: ↑Fri Jan 14, 2022 12:14 am

alan1000 wrote: ↑Mon Dec 27, 2021 2:23 pm I think you are confusing the Euclidean dimensionless point with the number 0 itself.

A dimensionless point is nothing thus 0.

If something is dimensionless, it does not mean it's nothing. Colors are dimensionless, for example, but they aren't nothing. Smell is dimensionless but it isn't nothing. Change is dimensionless but it isn't nothing. Speed is dimensionless but it isn't nothing. Marriage is dimensionless but it isn't nothing.

Eodnhoj7 wrote: ↑Mon Jul 12, 2021 10:16 pm 1. You have 1 line.

2. This line is divided by a 0d point.

3. The resulting line is 2 lines in one.

All fine by me.

4. You have 1 line.

5. The line is divided by 2 0d points.

6. The resulting line is 3 lines in one.

That's fine by me as well.

7. Division by a 0d point (0) is equal to x+1 with x equaling the number of points.

I'd suggest rewording that. What you're saying is that dividing a line into two lines increases the number of points by 1. I have no idea how you deduced that. I'd say the number of points is exactly the same as before. Division neither adds nor removes any points. It merely changes the line each point belongs to.

Magnus Anderson wrote: ↑Tue Apr 26, 2022 11:00 pm

Eodnhoj7 wrote: ↑Mon Jul 12, 2021 10:16 pm 1. You have 1 line.

2. This line is divided by a 0d point.

3. The resulting line is 2 lines in one.

All fine by me.

4. You have 1 line.

5. The line is divided by 2 0d points.

6. The resulting line is 3 lines in one.

That's fine by me as well.

7. Division by a 0d point (0) is equal to x+1 with x equaling the number of points.

I'd suggest rewording that. What you're saying is that dividing a line into two lines increases the number of points by 1. I have no idea how you deduced that. I'd say the number of points is exactly the same as before. Division neither adds nor removes any points. It merely changes the line each point belongs to.

Reworded:

Division of a line by a single point results in the number of lines as x+1 with x being the number of points introduced.

Dually:

A single line divided by a point results in further lines. Each further line divided by a point results in further lines from that. With the increase in introduced points comes an increase in introduced lines.

Magnus Anderson wrote: ↑Tue Apr 26, 2022 10:49 pm

Eodnhoj7 wrote: ↑Fri Jan 14, 2022 12:14 am

alan1000 wrote: ↑Mon Dec 27, 2021 2:23 pm I think you are confusing the Euclidean dimensionless point with the number 0 itself.

A dimensionless point is nothing thus 0.

If something is dimensionless, it does not mean it's nothing. Colors are dimensionless, for example, but they aren't nothing. Smell is dimensionless but it isn't nothing. Change is dimensionless but it isn't nothing. Speed is dimensionless but it isn't nothing. Marriage is dimensionless but it isn't nothing.

Dimension is synonymous with definition. Definition requires contrast. With the absence of dimensions comes an absence of contrast thus an absence of thingness.

Colors contrast with further colors.

Smells contrast with further smells.

Change contrasts with further change.

Speed contrasts with further speed.

Marriage contrasts with further types of relationships as well as further marriages.

All the above have dimensions because they have definition due to contrast.