Philosophy

Math is no more about equations than poetry is about spelling. Equations and spelling exist to convey an idea. Understand that idea.

Here’s a few of my favorite quotes on learning.

On Understanding

  • “If you can’t explain it simply, you don’t understand it well enough” - Albert Einstein

  • “Most of the fundamental ideas of science are essentially simple, and may, as a rule, be expressed in language comprehensible to everyone.” - Albert Einstein

  • “The only real valuable thing is intuition.” - Albert Einstein

  • “Everything should be made as simple as possible, but not simpler.” - Albert Einstein

  • “The purpose of computing is insight, not numbers.” - Richard Hamming

  • “You can know the name of a bird in all the languages of the world, but when you’re finished, you’ll know absolutely nothing whatever about the bird… So let’s look at the bird and see what it’s doing — that’s what counts. I learned very early the difference between knowing the name of something and knowing something.” - Richard Feynman

  • “If you tell me, I will listen. If you show me, I will see. But if you let me experience, I will learn.” - Lao Tsu

On Thinking and Problem Solving

  • “Imagination is more important than knowledge.” - Albert Einstein

  • “Do not seek to follow in the footsteps of the wise. Seek what they sought.” - Matsuo Basho

  • “If I’d listened to customers, I’d have given them a faster horse.” - Henry Ford

  • “Debugging is twice as hard as writing the code in the first place. Therefore, if you write the code as cleverly as possible, you are, by definition, not smart enough to debug it.” - Brian Kernighan

  • “My aim is to put down on paper what I see and what I feel in the best and simplest way.” - Ernest Hemingway

On What We Truly Know

  • “I know nothing except the fact of my ignorance.” - Socrates

  • “If I have seen a little further it is by standing on the shoulders of Giants.” - Isaac Newton