A mathematician's apology

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1. antonvsOct 2026
   > The aim is to produce a body of knowledge that will be useful to humanity.

   There's no such consensus. Read Hardy's "A Mathematician's Apology" to get a better understanding.

   Here's a quote which gives some idea of where Hardy was coming from: "I have never done anything 'useful'. No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity of the world."

   Hardy valued math for its beauty, elegance, and permanence, and he's far from the only mathematician who would push back on the idea that mathematics should be "useful to humanity", except perhaps in the sense that art is useful to humanity.

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2. brian_cloutierMay 2025
   You might consider reading Hardy's A Mathematician's Apology. It gives an argument for studying math for the sake of math. Personally, reading a beautiful proof can be as compelling as reading a beautiful poem and needs no further justification.

   However, there is another reason to read this essay. Hardy gives a few examples of fields of math which are entirely useless. Number theory, he claims, has absolutely no applications. The study of non-euclidean geometry, he claims, has absolutely no applications. History has proven him dramatically wrong, “pure” math has a way of becoming indispensable

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3. kwar13Oct 2024
   I cannot recommend reading A Mathematician's Apology enough. It was written by GH Hardy and I think it's one of the best non-math texts out there to understand how a mathematician's brain works.

   https://en.wikipedia.org/wiki/A_Mathematician%27s_Apology

   Fairly short and beautifully written.

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4. kwar13Oct 2024
   I cannot recommend reading A Mathematician's Apology enough. It was written by GH Hardy and I think it's one of the best non-math texts out there to understand how a mathematician's brain works.

   https://en.wikipedia.org/wiki/A_Mathematician%27s_Apology

   Fairly short and beautifully written.

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5. chongliFeb 2024
   If you want to read a more thorough defence of the value of pure mathematics research, I recommend that you read A Mathematician's Apology by G.H. Hardy. Hardy witnessed first-hand the beginnings of the applications of his field, number theory, to cryptography. At that time, the only use for cryptography was in warfare so as a committed pacifist you can well imagine how much this upset him.

   misinformed about how applicable their work is

   I think I know exactly what you're talking about and it's unfair. I've also seen it happen to scientists across the spectrum. A question from a journalist or other layperson -- about the applicability of their research -- to catch them off guard and put them on the spot, designed to humble them and make the questioner feel superior. You never hear this sort of question levelled at painters, sculptors, musicians, writers, game designers, or any other artist!

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6. PietertjeDec 2022
   This year I've put myself to the challenge to read at least one book per week which I primarily could complete by reading in the middle of the night while holding our sleeping baby in my arms. It has been an interesting challenge which gave me a lot of fulfilment and has certainly changed my mind on how I view the world. This comment became quite a long read, apologies for that.

   Books I highly recommend:

   Churchill by Andrew Roberts (p:1105)

   A biography about one of the most interesting figures in politics and WWII. Roberts gives a very detailed description of the life of Churchill and manages to keep you interested the entire length of the book.

   The God Delusion by Richard Dawkins (p:374)

   In The God Delusion Dawkins gives arguments why there is no God, why we do not need a God and why religion is damaging to our society. If you are religious it might not be the book for you unless you are open to hear his arguments and line of reasoning. Dawkins will challenge your worldview.

   The Bomb by Fred Kaplan (p:384)

   Kaplan describes the policy of different US presidents on the atomic bomb and war in general. And primarily on the inability of US presidents and policy-makers to tune down its military. A chilling read which makes you appreciate a nuclear holocaust did not happen (yet)....

   Poor Economics by Abhijit V. Banerjee and Esther Duflo (p:320)

   Banerjee and Duflo give a gripping portrait of how poor people live. They offer an insight in the choices and decisions people make surviving on less than 1 USD a day (corrected for purchasing power). It made me completely rethink my own view on poverty and development aid; stressing even more that in order to help one need to have a complete understanding of the individual's situation and the local boundary conditions.

   Project Hail Mary by Andy Weir (p:476)

   This book triggered my science fiction reading. For some reason I never was interested in science fiction. Most likely triggered by reading Foundation by Asimov a few years back which apparently is not a book to my taste. But Andy Weir completely annihilated that wrong perspective on science fiction. Project Hail Mary is interesting, funny and gripping book.

   Kindred by Octavia Butler (p:287)

   This book.... From page one I was hooked and almost read it in one go. Butler is a wonderful author and Kindred is a must-read. The book is about a woman traveling back in time to end up on a slave plantation. It's a chilling account of slavery.

   Other books I read this year, ask me anything about one of these books. I've added a + if I think its worth a recommendation

   Biography:

   Navalny by Dollbaum, Lallouet and Noble (p:280); The Man from the Future by Ananyo Bhattacharya (p:354) +

   Sociology; Politics; Economics; Business:

   Only the Paranoid Survive by Andrew S. Grove (p:224); The Prince by Niccolo Machiavelli (p:140); Winter is Coming by Garry Kasparov (p:290); Twilight of Democracy by Anne Applebaum (p:224) +; Man's Search for Meaning by Victor E. Frankl (p:164) +; We Are Bellingcat by Eliot Higgins (p:272); De Zeven Vinkjes by Joris Luyendijk (p:200); Waarom vuilnismannen meer verdienen dan bankiers by Rutger Bregman (p:104)

   Comedy: The Dilbert Principle by Scott Adams (p:336)

   History:

   Band of Brothers by Stephen E. Ambrose (p:432); The Nuclear Jihadist by Douglas Frantz and Catherine Collins (p:413) +; The Spy and the Traitor by Ben Macintyre (p:384) +; De Heineken Ontvoering by Peter R. de Vries (p:347); Red Famine by Anne Apllebaum (p:384); Night by Elie Wiesel (p:115) +

   Science, Technology, Mathematics:

   Fermat's Enigma by Simon Singh (p:315) +; A Mathematician's Apology by G.H. Hardy (p:153); The Great Influenza by John M. Barry (p:546); The Rise and Fall of the Dinousaurs by Stephen Brusatte (p:404) ++; The Double Helix by James Watson (p:144)

   Sport:

   Run or Die by Killian Jornet (p:208); The Secret Race by Tyler Hamilton (p:290) +; The Rise of the Ultra Runners by (p:304); Tom Dumoulin by Patrick Bernhart (p:203)

   Fiction:

   Anthem by Ayn Rand (p:105); Fountainhead by Ayn Rand (p:704); The Bourne Identity by Robert Ludlum (p:566); Jurassic Park by Michael Crichton (p:466); Live and Let die by Ian Fleming (p:229)

   Classics:

   A Christmas Carol by Charles Dickens (p:104); The Metamorphosis by Franz Kafka (p:201); The Great Gatsby by F. Scott Fitzergerald (p:180); Dr. Jekyll and Mr. Hyde by Robert Louis Stevenson (p:139); Animal Farm by George Orwell (p:122) +; Fahrenheit 451 by Ray Bradbury (p:227) +; The Time Machine by H.G. Wells (p:118)

   Science Fiction:

   The Three-Body Problem by Liu Cixin (p:399); All Systems Red by Martha Wells (p:144) +; A Memory Called Empire by Arkady Martine (p:462) +; A Psalm built for the Wild by Becky Chambers (p:160); Dune by Frank Herbert (p:658); Foundation by Isaac Asimov (p:244); The Martian by Andy Weir (p:384) +; The Forever War by Joe Haldeman (p:278)

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