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Hi, this thread will deal with a question I had while re-reading the wiki FAQ.
So, first, you assume here that an n-dimensional being/object is composed of an infinity of n-1-dimensional objects, like a two-dimensional square composed of an infinity of one-dimensional segments.
And then, a few questions later, you assume here that a set A composed of an infinity of points of dimension 0 was itself a set of dimension 0.
My question is about this contradiction: if an arbitrary object (let's think of it as a set) of dimension n is composed of an infinity of objects of dimension less than it, the set A (which I mentioned before) that contains an infinity of objects of dimension 0 should logically itself be a set of dimension 1, since if we think of dimension 0 as dimension n-1 (dimension n was dimension 1), an infinity of objects of dimension n-1 makes the set an n-dimensional set (1), as I clarified before.
Either I have misinterpreted or it would be contradictory, I would like your opinion.
(And I would like to apologize in advance if I don't respect some of the thread rules, I'm new and frankly don't know enough about it.)
Palps ~
So, first, you assume here that an n-dimensional being/object is composed of an infinity of n-1-dimensional objects, like a two-dimensional square composed of an infinity of one-dimensional segments.
And then, a few questions later, you assume here that a set A composed of an infinity of points of dimension 0 was itself a set of dimension 0.
My question is about this contradiction: if an arbitrary object (let's think of it as a set) of dimension n is composed of an infinity of objects of dimension less than it, the set A (which I mentioned before) that contains an infinity of objects of dimension 0 should logically itself be a set of dimension 1, since if we think of dimension 0 as dimension n-1 (dimension n was dimension 1), an infinity of objects of dimension n-1 makes the set an n-dimensional set (1), as I clarified before.
Either I have misinterpreted or it would be contradictory, I would like your opinion.
(And I would like to apologize in advance if I don't respect some of the thread rules, I'm new and frankly don't know enough about it.)
Palps ~