4 ms·
I repectfully think you may be overlooking two things: 1. While storing fewer bits may be objectively superior in one sense, it is overlooking the far more sig
by timwiseman 16y ago
I repectfully think you may be overlooking two things:
1. While storing fewer bits may be objectively superior in one sense, it is overlooking the far more significant question of which helps a human understand and work with the equestions. Math is encoded into the universe, but our expressions of it exist for our own understanding.
2. We get a lot of choice in how we encode information, and that choice can change the number of bits used substantially. For instance:
c = 2 \pi r
c = \pi d
c = \tau r
c = 1/2 \tau d
All say the same thing, but their lengths vary considerably.
- joe_the_user 16y agoI'm sure this would overlook many things. It would just supply one objective measure, not the only thing to consider. Also, while there are indeed an infinity of representations of a given expression, there are a finite number of minimal representations, which can be found by exhaustive search if not some cleverer algorithm.