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Comment Bad Habits are Formed Early (Score 1) 306

I used book-learning to teach myself programming before I was ten. This had hugely negative impacts for my University degree over a decade later. Starting early will also expose 'natural talent' and make it easier to give them guidance and support (in the example that the child may never otherwise have access to computing facilities that would allow them to learn this, although that is becoming far less common).

Every nonzero finite dimensional inner product space has an orthonormal basis. It makes sense, when you don't think about it.