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This is a great example of how math is generally weak at types (constantly doing implicit casts and conversions with ambiguous notation, all the way back to Lie
by lupire 4y ago
This is a great example of how math is generally weak at types (constantly doing implicit casts and conversions with ambiguous notation, all the way back to Liebniz notation for calculus, and probably further), and the computer scientists add clarity.
It's also an example of how "making it simpler" by dropping types (old Python, Bash, typeless vectors and matrices) ends up making it harder to get work done right when the ideas are non-trivial.
- pfortuny 4y agoWell, yes. But it is another way of saying that we think in analogies. At the same time, forms are also vectors… and vectors are forms of the dual… So it is not that easy.