Just a quick post to heartily recommend Terence Tao’s latest blog post, “A trivial remark about schemes”. My mathematical intuition has always been strongest in analysis; algebra and geometry have always seemed appealing in their exactness (cf. the old adage about algebra being the cult of the equal-to sign, and analysis the cult of the less-than-or-equal-to sign) but remote from my intuition. In particular, I never understood all this talk of varieties, nor the supposed equivalence between the algebraic geometry and commutative algebra points of view — whatever they were! Tao’s post does a wonderful job of clearing all that up within the first few paragraphs. Bravo!