Equations are Treasures

Equations seem like treasures, spotted in the rough by some discerning individual, plucked and examined, placed in the grand storehouse of knowledge, passed on from generation to generation. This is so convenient a way to present scientific discovery, and so useful for textbooks, that it can be called the treasure-hunt picture of knowledge.

 Mathematicians Must be Adventurers

There is no thing as a man who does not create mathematics and yet is a fine mathematics teacher. Textbooks, course material—these do not approach in importance the communication of what mathematics is really about, of where it is going, and of where it currently stands with respect to the specific branch of it being taught. What really matters is the communication of the spirit of mathematics. It is a spirit that is active rather than contemplative—a spirit of disciplined search for adventur...

 Carl Sagan on Science Fiction

When I was little, starting about eight, nine, 10, science fiction held enormous fascination. I couldn't read textbooks, or atleast I didn't have access to textbooks that I could read, but there was a lot of science in science fiction and it was rippling with the sense of wonder. But as I got older, and could learn some science, I found the science to be more subtle, more complex, more challenging, more full of wonder and having the additional, not inconsiderable, virtue of being true. To wha...

 DNA is not a Blueprint

Textbooks of biology repeat time and again that DNA is a 'blueprint' for building a body. It isn't. A true blueprint of, say, a car or a house embodies a one-toone mapping from paper to finished product. It follows from this that a blueprint is reversible. It is as easy to go from house to blueprint as the other way around, precisely because it is a one-to-one mapping. Actually, it's easier, because you have to build the house, but you only have to take some measurements and then draw the blu...