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Possibly, but here's a data point in the opposite direction: Learning mathematics, especially higher forms of mathematics. Before students can learn directly f
by akoboldfrying 2y ago
Possibly, but here's a data point in the opposite direction: Learning mathematics, especially higher forms of mathematics.
Before students can learn directly from symbolic representations like formulae, mathematics teachers must communicate mathematical ideas to them using natural language -- and with just a few iterations of correcting misunderstandings, this process somehow converges on the students having the same understanding of these abstract ideas.
That is, natural language succeeds here in bootstrapping a more precise form of communication.
- GrantMoyer 2y agoMathematics can be unambiguously communicated because teachers are describing a system with only one or a few self consistent interpretations. Effectively, there's a natural error correction scheme built in (the state I've been described is invalid, so find the closest valid state and assume that). Note that even then, very many people struggle to communicate about math.