“New knowledge enhances an ever increasing sense of our own ignorance. The more we know, the more we know we don't know. Feynman called it 'the expanding frontier of ignorance'.”

“The more we learn about the world, and the deeper our learning, the more conscious, specific, and articulate will be our knowledge of what we do not know; our knowledge of our ignorance. For this indeed, is the main source of our ignorance - the fact that our knowledge can be only finite, while our ignorance must necessarily be infinite.”

“Knowledge grows exponentially. The more we know, the greater our ability to learn, and the faster we expand our knowledge base.”

“The fuel on which science runs is ignorance. Science is like a hungry furnace that must be fed logs from the forests of ignorance that surround us. In the process, the clearing we call knowledge expands, but the more it expands, the longer its perimeter and the more ignorance comes into view.”

“Our ignorance can be divided into problems and mysteries. When we face a problem, we may not know its solution, but we have insight, increasing knowledge, and an inkling of what we are looking for. When we face a mystery, however, we can only stare in wonder and bewilderment, not knowing what an explanation would even look like.”

“Everybody gets told to write about what they know. The trouble with many of us is that at the earlier stages of life we think we know everything- or to put it more usefully, we are often unaware of the scope and structure of our ignorance.”