nate silver is so annoying he's getting people to come out against using probabilities to make decisions under conditions of uncertainty and i think that rocks
How do you think of the complex numbers? What is the core structure?
1. The complex numbers, at bottom, are an algebraically closed field ⟨ℂ,+,·,0,1⟩.
2. The complex numbers are the algebraic closure of the reals, a distinguished subfield ⟨ℂ,+,·,0,1,ℝ⟩.
3. The complex numbers are an algebraically closed field with a distinguished real coordinate structure ⟨ℂ,+,·,0,1,Re,Im⟩.