Yep, apart from the idea that those choices of unit have “nice properties” and so they do matter. Units also seem to not strictly be categories because it’s easy and natural to have a decimal and fractional # of units for something. This counteracts the danger in the “opaqueness” of thinking in discrete categories over continuous information.
There’s this other weirder problem, which is “how do you decide which dimensions or axes the information is varying over?” For example, if OOP and FP are two points that live in some continuous space, how do we choose axes to place those things on?
So not only do we not know how to make meaningful categories, we don’t know how to describe the continuous space in which we’re making a choice.
In fact, the idea of a one or many dimensional continuum to describe this is just as much an imperfect construct as the categorical distinctions we made within that continuum.
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Yep, apart from the idea that those choices of unit have “nice properties” and so they do matter. Units also seem to not strictly be categories because it’s easy and natural to have a decimal and fractional # of units for something. This counteracts the danger in the “opaqueness” of thinking in discrete categories over continuous information.
There’s this other weirder problem, which is “how do you decide which dimensions or axes the information is varying over?” For example, if OOP and FP are two points that live in some continuous space, how do we choose axes to place those things on?
So not only do we not know how to make meaningful categories, we don’t know how to describe the continuous space in which we’re making a choice.
In fact, the idea of a one or many dimensional continuum to describe this is just as much an imperfect construct as the categorical distinctions we made within that continuum.