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  • Thinking Quotes   3316
  • Arithmetic starts with the integers and proceeds by successively enlarging the number system by rational and negative numbers, irrational numbers, etc... But the next quite logical step after the reals, namely the introduction of infinitesimals, has simply been omitted. I think, in coming centuries it will be considered a great oddity in the history of mathematics that the first exact theory of infinitesimals was developed 300 years after the invention of the differential calculus.
    • 6 years ago



    Tags : Abraham Robinson Quotes , Thinking Quotes , Oddities Quotes
  • What truth? You see where truth is, and where untruth is, but I seem to have lost my sight and see nothing. You boldly settle all important questions, but tell me, dear, isn't it because you're young, because you haven't had time to suffer till you settled a single one of your questions? You boldly look forward, isn't it because you cannot foresee or expect anything terrible, because so far life has been hidden from your young eyes? You are bolder, more honest, deeper than we are, but think only, be just a little magnanimous, and have mercy on me.
    • 5 years ago



    Tags : Anton Chekhov Quotes , Eye Quotes , Thinking Quotes
  • Let us simmer over our incalculable cauldron, our enthralling confusion, our hotchpotch of impulses, our perpetual miracle - for the soul throws up wonders every second. Movement and change are the essence of our being; rigidity is death; conformity is death; let us say what comes into our heads, repeat ourselves, contradict ourselves, fling out the wildest nonsense, and follow the most fantastic fancies without caring what the world does or thinks or says. For nothing matters except life.
    • 5 years ago



    Tags : Virginia Woolf Quotes , Caring Quotes , Thinking Quotes
  • There's such an aggressively apolitical movement in the US that anything that smells of being political - even the term "political" is so ridiculous, when you think about it. The worst part of governing, the political side, is the grossest part, so that's what they call it. So anything that reeks of that immediately gets tuned out by 70 percent of the population.
    • 6 years ago



    Tags : Adam McKay Quotes , Thinking Quotes , Political Quotes
  • The American people recognize that their careers or their kids' careers are going to have to be more dynamic. That they might not be working at a single plant for 30 years. That they might have to change careers. They might have to get more education. They might have to retool or retrain. And I think the American people are game for that.
    • 5 years ago



    Tags : Barack Obama Quotes , Kids Quotes , Thinking Quotes
  • Most human beings spend their lives battling with opposing inner forces: what they think they should do versus what they are doing; how they feel about themselves versus how they are; whether they think they’re right and worthy or wrong and unworthy. The separate self is just the conglomeration of these opposing forces. When the self drops away, inner division drops away with it.
    • 6 years ago



    Tags : Adyashanti Quotes , Thinking Quotes , Self Quotes
  • Usually, I'm pretty good about sorting through the options and then making decisions that I'm confident are the best decisions in that moment, given the information we have. But there are times where I think I wish I could have imagined a different level of insight.
    • 5 years ago



    Tags : Barack Obama Quotes , Thinking Quotes , Decision Quotes