Skip to content
By using Twitter’s services you agree to our Cookies Use. We and our partners operate globally and use cookies, including for analytics, personalisation, and ads.
  • Home Home Home, current page.
  • About

Saved searches

  • Remove
  • In this conversation
    Verified accountProtected Tweets @
Suggested users
  • Verified accountProtected Tweets @
  • Verified accountProtected Tweets @
  • Language: English
    • Bahasa Indonesia
    • Bahasa Melayu
    • Català
    • Čeština
    • Dansk
    • Deutsch
    • English UK
    • Español
    • Filipino
    • Français
    • Hrvatski
    • Italiano
    • Magyar
    • Nederlands
    • Norsk
    • Polski
    • Português
    • Română
    • Slovenčina
    • Suomi
    • Svenska
    • Tiếng Việt
    • Türkçe
    • Ελληνικά
    • Български език
    • Русский
    • Српски
    • Українська мова
    • עִבְרִית
    • العربية
    • فارسی
    • मराठी
    • हिन्दी
    • বাংলা
    • ગુજરાતી
    • தமிழ்
    • ಕನ್ನಡ
    • ภาษาไทย
    • 한국어
    • 日本語
    • 简体中文
    • 繁體中文
  • Have an account? Log in
    Have an account?
    · Forgot password?

    New to Twitter?
    Sign up
paulg's profile
Paul Graham
Paul Graham
Paul Graham
Verified account
@paulg

Tweets

Paul GrahamVerified account

@paulg

paulgraham.com
Joined August 2010

Tweets

  • © 2021 Twitter
  • About
  • Help Center
  • Terms
  • Privacy policy
  • Cookies
  • Ads info
Dismiss
Previous
Next

Go to a person's profile

Saved searches

  • Remove
  • In this conversation
    Verified accountProtected Tweets @
Suggested users
  • Verified accountProtected Tweets @
  • Verified accountProtected Tweets @

Promote this Tweet

Block

  • Tweet with a location

    You can add location information to your Tweets, such as your city or precise location, from the web and via third-party applications. You always have the option to delete your Tweet location history. Learn more

    Your lists

    Create a new list


    Under 100 characters, optional

    Privacy

    Copy link to Tweet

    Embed this Tweet

    Embed this Video

    Add this Tweet to your website by copying the code below. Learn more

    Add this video to your website by copying the code below. Learn more

    Hmm, there was a problem reaching the server.

    By embedding Twitter content in your website or app, you are agreeing to the Twitter Developer Agreement and Developer Policy.

    Preview

    Why you're seeing this ad

    Log in to Twitter

    · Forgot password?
    Don't have an account? Sign up »

    Sign up for Twitter

    Not on Twitter? Sign up, tune into the things you care about, and get updates as they happen.

    Sign up
    Have an account? Log in »

    Two-way (sending and receiving) short codes:

    Country Code For customers of
    United States 40404 (any)
    Canada 21212 (any)
    United Kingdom 86444 Vodafone, Orange, 3, O2
    Brazil 40404 Nextel, TIM
    Haiti 40404 Digicel, Voila
    Ireland 51210 Vodafone, O2
    India 53000 Bharti Airtel, Videocon, Reliance
    Indonesia 89887 AXIS, 3, Telkomsel, Indosat, XL Axiata
    Italy 4880804 Wind
    3424486444 Vodafone
    » See SMS short codes for other countries

    Confirmation

     

    Welcome home!

    This timeline is where you’ll spend most of your time, getting instant updates about what matters to you.

    Tweets not working for you?

    Hover over the profile pic and click the Following button to unfollow any account.

    Say a lot with a little

    When you see a Tweet you love, tap the heart — it lets the person who wrote it know you shared the love.

    Spread the word

    The fastest way to share someone else’s Tweet with your followers is with a Retweet. Tap the icon to send it instantly.

    Join the conversation

    Add your thoughts about any Tweet with a Reply. Find a topic you’re passionate about, and jump right in.

    Learn the latest

    Get instant insight into what people are talking about now.

    Get more of what you love

    Follow more accounts to get instant updates about topics you care about.

    Find what's happening

    See the latest conversations about any topic instantly.

    Never miss a Moment

    Catch up instantly on the best stories happening as they unfold.

    Paul Graham‏Verified account @paulg 27 Apr 2020

    11 yo tried to get out of doing his math homework on the grounds that the questions were, technically, valid answers. I explained that what he's really doing, and what most math is, is transforming quantities to a more useful form.

    3:04 AM - 27 Apr 2020
    • 39 Retweets
    • 609 Likes
    • Doug Sandlin Alex Smith shashank Dhekle Aneesh Mulye Ex-Nighthawk 歯医者の歌 🏩mainline🌆 Shrug Didi
    31 replies 39 retweets 609 likes
      1.  🏳️‍⚧️‏ @bayesianmarxist 27 Apr 2020
        Replying to @paulg

        *applied math

        0 replies 0 retweets 1 like
        Thanks. Twitter will use this to make your timeline better. Undo
        Undo
      1. Shawn Pereira  💭‏ @Incept_shawn 27 Apr 2020
        Replying to @paulg

        Smart kid. School math is mostly just transformation as you've said. I wonder how kids would take to learning a concept like how mathematicians came up with it. eg. Explaining the astronomy problems that led Newton to come up with calculus

        0 replies 0 retweets 10 likes
        Thanks. Twitter will use this to make your timeline better. Undo
        Undo
      1. Ganesh‏ @ganesh__s 27 Apr 2020
        Replying to @paulg

        So precocious. Reminds me of what Herbert Simon said. All math is change of representation: making evident what was before true, but obscure.

        0 replies 0 retweets 21 likes
        Thanks. Twitter will use this to make your timeline better. Undo
        Undo
      1. This Tweet is unavailable.
      2. Paul Graham‏Verified account @paulg 27 Apr 2020
        Replying to @ConstLarionoff

        I'm including things like sets and truth values. I would have said formal objects rather than quantities, but then fewer parents would have understood.

        1 reply 1 retweet 30 likes
      3. Show replies
      1. Tim Berglund‏ @tlberglund 27 Apr 2020
        Replying to @paulg

        And the skill he’s learning is the intuition to recognize in the presented problem what set of transformation tools apply. The transformation itself is mechanical. (15 years of math homeschooling summarized there. 😊)

        0 replies 0 retweets 5 likes
        Thanks. Twitter will use this to make your timeline better. Undo
        Undo
      1. James Slezak‏ @jslez 27 Apr 2020
        Replying to @paulg

        Soon he’ll explain that power plants don’t generate energy but reduce the amount of usable energy in the world and contribute to the ultimate heat death of the universe

        0 replies 0 retweets 8 likes
        Thanks. Twitter will use this to make your timeline better. Undo
        Undo
      1. Jinx Da Cat‏ @jinxdacat1 27 Apr 2020
        Replying to @paulg

        Your 11 yo has a bright future as a, SCOTUS justice with a earned reputation for, uh, "creative" jurisprudence.

        0 replies 0 retweets 0 likes
        Thanks. Twitter will use this to make your timeline better. Undo
        Undo
      1. pranav_modi‏ @pranav_modi 27 Apr 2020
        Replying to @paulg

        :) another useful lesson might be, can't always get out of work by using clever arguments... maybe for another time.

        0 replies 0 retweets 0 likes
        Thanks. Twitter will use this to make your timeline better. Undo
        Undo

    Loading seems to be taking a while.

    Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.

      Promoted Tweet

      false

      • © 2021 Twitter
      • About
      • Help Center
      • Terms
      • Privacy policy
      • Cookies
      • Ads info