0=1
0=1
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.
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.
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Re: 0=1
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.
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Re: 0=1
All fine by me.
That's fine by me as well.4. You have 1 line.
5. The line is divided by 2 0d points.
6. The resulting line is 3 lines in one.
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.7. Division by a 0d point (0) is equal to x+1 with x equaling the number of points.
Re: 0=1
Reworded:Magnus Anderson wrote: ↑Tue Apr 26, 2022 11:00 pmAll fine by me.
That's fine by me as well.4. You have 1 line.
5. The line is divided by 2 0d points.
6. The resulting line is 3 lines in one.
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.7. Division by a 0d point (0) is equal to x+1 with x equaling the number of points.
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.
Re: 0=1
Dimension is synonymous with definition. Definition requires contrast. With the absence of dimensions comes an absence of contrast thus an absence of thingness.Magnus Anderson wrote: ↑Tue Apr 26, 2022 10:49 pmIf 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.
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.