"Mathematical induction proves that we can climb as high as we like on a ladder, by proving that we can climb onto the bottom rung (the basis) and that from each rung we can climb up to the next one (the induction)." (Concrete Mathematics 2nd ed.)…

# Mathematicians vs. Computer scientists

"There is a considerable difference between a mathematicianâ€™s view of the world and a computer scientistâ€™s. To a mathematician all structures are static: they have always been and will always be; the only time dependence is that we just have not discovered them all yet. The computer scientist…