As the semanticist S.I. Hayakawa stressed in his classic book Language in Thought and Action, words are not the things they represent. Words are symbols. It’s the manipulation of those symbols that ...
Everyone knows that arithmetic is true: 2 + 2 = 4. But surprisingly, we don’t know why it’s true. By stepping outside the box of our usual way of thinking about numbers, my colleagues and I have ...
For her pioneering work in computer science, Grace Murray Hopper ’30 M.A., ’34 Ph.D. has been dubbed the “queen of code” by her biographers. Yet, beneath that crown was the brain of a mathematician, ...
For as long as Jake Price has been a teacher, Wolfram Alpha — a website that solves algebraic problems online — has threatened to make algebra homework obsolete. Teachers learned to work around and ...
Randolph Grace receives funding from the Marsden Fund, administered by the Royal Society of New Zealand. University of Canterbury provides funding as a member of The Conversation AU. University of ...