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Mathematics 15 Online
OpenStudy (anonymous):

Does a point have no dimension?

mathslover (mathslover):

yes a point is dimensionless

OpenStudy (zepp):

0D = Dot 1D = Line 2D = Plane 3D = Solid 4D = Space-time 5D = ...idk :P

OpenStudy (anonymous):

Then how does it make a line?

OpenStudy (zepp):

What do you mean?

OpenStudy (zepp):

. <-- This is not a point, it's just a representation because a point has no height, no length, no thickness.

OpenStudy (zepp):

One dimension: A line, numbers, they have only a length;

OpenStudy (zepp):

2D: Shape, Length and width 3D: Solids, Length, width and thickness

OpenStudy (anonymous):

What is the definition for a line?

OpenStudy (zepp):

4D Spacetime: 3 dimentional object travelling/moving through time and space.

OpenStudy (zepp):

Straight objects without depth and width.

OpenStudy (anonymous):

Is it made of many points?

OpenStudy (zepp):

Um, you can see it that way :)

OpenStudy (anonymous):

When a point has no dimension then how can a collection of points make a line?

OpenStudy (zepp):

A point has no length, depth, width, when you align then, you just created a length

OpenStudy (turingtest):

take a point and send it in some direction through space the path that it traces out is a line the real number line is infinitely dense so now we are getting into some of the trickyness of infinity

OpenStudy (turingtest):

|dw:1341410594698:dw|here is the real number line (still a line, consisting of infinitely many points) I can ask you to pick out the point 1

OpenStudy (turingtest):

|dw:1341410679112:dw|and there it is I can also ask you to find numbers between numbers so if I ask you to find 1.5 it should be on the line

OpenStudy (anonymous):

My doubt is when a point has zero dimension, then how can it make a line that has one dimension?

OpenStudy (turingtest):

|dw:1341410742343:dw|similarly I can keep asking you to find points between the two we have already found 1.75 must be on the line 1.85 1.8 1.8243574687654365768.... etc. must all be on the line therefore there are infintiely many points on a line

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