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Your point holds even mathematically/logically. Consider addition vs subtraction. Living in a world where we're just adding, life is simple (1 + 5 + 32 + 67 + x
by dvt 6y ago
Your point holds even mathematically/logically. Consider addition vs subtraction. Living in a world where we're just adding, life is simple (1 + 5 + 32 + 67 + x + y + ...). But when we subtract, we're introduced to weird new concepts like zero and negative numbers. These new concepts require foundational shifts.
This of course also applies to multiplication (constructive) vs division (destructive), where division introduces us to the weird concept of infinity when dividing by zero.
And also exponentiation (constructive) and root-taking (destructive), where the latter introduces us to imaginary numbers when taking the root of negative numbers.
- ktpsns 6y agoThe mathematical analogy has its limits, thought. In analysis, integration (constructive) is analytically much harder then differentiation (destructive).
- uvnq 6y agoThe square root function is interesting, it seems to me to belong to some third class. Instead of constructing or destructing, it questions something's origin. For whatever reason, "origin questions" have an uncanny ability to yield really strange results.
- dvt 6y agoYeah, very true, technically log is the "opposite" of exp.