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I thought, perhaps, the comma had some other significance besides being a syntax replacement for a decimal point, hence the question.
My thought process is now along these lines:
what is a dimension? A parameter to describe a space?
In the 3 dimension system I am familiar with if I want to describe a cube I can do so by taking a point and copying it until I have a line, copy a line until I have a plane, copy a plane until I have a cube. The cube has 3 dimensions.
An integer dimension and fractional dimension differ in the method I choose to copy in order to describe a space. I can choose different copy methods for convenience.
Copy may be a poor choice of word for what I mean.