The 3 dimensions of space, are they an inherent property of space, or are they our invention for practical-calculative purposes?

We all agree that our space is 3-dimensional, and not, for example, 2-dimensional. But the question is, does the space truly have any dimension at all? I don't mean to say it has zero dimensions or any other number of them. But that what we call
3-dimensions, aren't they just our need & invention for calculative purposes, emerging from the 3 axes lying 90 degree to each other?

Image for post The 3 dimensions of space, are they an inherent property of space, or are they our invention for practical-calculative purposes?
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