irrational dimension

Since the reals form an uncountable set, of which the rationals are a countable subset, the complementary set of irrationals is uncountable.
Wikipedia

Again, most of our science is based on a small subset (in this case an infinitely smaller percentage than 5) of the possible set of information to describe what we perceive.

Then again, crucial physical principals use irrational numbers to describe what we perceive: π, e, the golden ratio, what about the gravitational constant (G)?

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