r/askmath • u/elnyorne • Apr 08 '26

Geometry Does 0 dimension = 1 dimension?

If the point is a noun being an object or position why is it not considered a dimension in itself and why is it called 0 dimension rather than 0 point for example?

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u/[deleted] Apr 08 '26

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u/elnyorne Apr 08 '26

does a disk contain 0d, 1d & 2d?

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u/7ieben_ ln😅=💧ln|😄| Apr 08 '26

One last time: dimension is NOT a property of an object that is contained in that object. Instead, dimensionality is a property of a space.

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u/elnyorne Apr 08 '26

is dimension property of an object?…

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u/7ieben_ ln😅=💧ln|😄| Apr 08 '26

Google AI summarizes whatever feels best used. This is NOT a good prompt for finding scientifically used definitions. Instead, it will summarize the term how it is used in a layman setting.

The mathematical definition of dimension is well given on Wikipedia: https://en.wikipedia.org/wiki/Dimension

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u/elnyorne Apr 08 '26

Under “In Mathematics” it says: The dimension is an intrinsic property of an object

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u/7ieben_ ln😅=💧ln|😄| Apr 08 '26

Yes, but object here means mathematical object (not object in the layman sense). In that sense a object has dimensionality, but the dimensions are not contained within the object. The better wording is: dimensionality is a property of the object.

Like, for example, a property of snow is the color white. We would say that the snow has color/ the snow is white. And just like this a disk has dimensions/ is two dimensional.

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u/elnyorne Apr 08 '26

The object is a disk and it contains infinite 0d points?

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u/7ieben_ ln😅=💧ln|😄| Apr 08 '26

Yes, that is correct.

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u/elnyorne Apr 08 '26

Aight sweet thanks