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Principia Mathematica

Principia Mathematica by Whitehead and Russell

by Whitehead and Russell

Shares rank 3 of 20 mathematics books by recommenders

Recommended as a landmark of formal logic that shaped later work on formal systems, and as a demanding read for serious students. Critics find its length, tedious presentation and archaic syntax hard going.

Recommended as a landmark of formal logic that shaped later work on formal systems, and as a demanding read for serious students. Critics find its length, tedious presentation and archaic syntax hard going.

18 people gave an opinion

recommend it
10
criticize it
8
approval share
56%
Each figure is one person. RecommendsCriticizes

Recommended in 1 of 13 months

  1. November 2025: not recommended
  2. December 2025: not recommended
  3. January 2026: not recommended
  4. February 2026: not recommended
  5. March 2026: not recommended
  6. April 2026: not recommended
  7. May 2026: not recommended
  8. June 2026: not recommended
  9. July 2026: not recommended
  10. August 2026: recommended
  11. September 2026: not recommended
  12. October 2026: not recommended
  13. November 2026: not recommended (month in progress)

Why it doesn’t carry the badge

  • 10 people recommend itNeeds 10 or more, met.
  • 1.2 recommenders for every criticNeeds 2 to 1 or better, not met.
  • Recommended in 1 of 13 monthsNeeds 4 or more, not met.

The same three rules apply to every product, and the badge can’t be bought. How the badge works

What people say about it

The reasons people give, with the number of comments that give each one. Open a reason to read what they said.

What people warn about

Each mark is one comment

  • Archaic, hard-to-parse syntax

    “gave up after a few pages, because for me it was nearly impossible to parse the syntax”

    Comment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

    “The archaic syntax is a serious issue.”

    Comment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

Other mathematics books people recommend

The four most recommended other mathematics books, with the same counts for each, so you can compare like for like. The tick on each bar marks the 2 to 1 line the badge needs.

Principia Mathematica by Whitehead and Russell compared with 4 alternatives
ProductRecommendCriticizeApprovalMonthsOwnedBadge
Elements by Euclidby Oliver Byrne17965%8——
Fermat's Last Theoremby Simon Singh110100%3——
Principia Mathematicaby Whitehead and RussellThis page10856%1——
Gödel's Proofby Nagel and Newman10191%2——
Mathematica: A Secret World of Intuition and Curiosityby David Bessis90100%6——
See all 20 mathematics books, ranked

What people said

20 of the 21 comments that mention it, newest first. Each links to the original comment.

“Seeking to demonstrate a hypothesis that is later shown to be erroneous is not”

RecommendsComment from 14 Aug 2026 in “Principia Mathematica is modern and insightful”

“We'd all be the poorer for it”

RecommendsComment from 14 Aug 2026 in “Principia Mathematica is modern and insightful”

“which shows which are the more top-level operators without having to match up parentheses”

RecommendsComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“The notation for avoiding parentheses is interesting”

RecommendsComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“A large chunk of the book is philosophizing about AI and the nature of the mind and intelligence.”

CriticizesComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“Goedel proves that Principia cannot do what it sets out to do, nor can any such system.”

MixedComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“there is still utility for its value as a programming self-teaching resource for serious students of computer science”

RecommendsComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“It blows my mind that Russell invented (formalized) types.”

RecommendsComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“a lot of Principia Mathematica's bulk is repeated code”

MixedComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“wildly inferior series derivation”

CriticizesComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“I don't think any of it is dated to any particular time period.”

RecommendsComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“gave up after a few pages, because for me it was nearly impossible to parse the syntax”

CriticizesComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“there is no known logical error in PM”

RecommendsComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“the ancient childish attempt to prove mathematics using mathematics”

CriticizesComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“The archaic syntax is a serious issue.”

CriticizesComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“ahead-of-its time, and a monumental influence on all subsequent work on formal systems”

MixedComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“other than the length and tedious presentation, I don't really think the material in the Principia Mathematica is outside the reach of an advanced undergraduate”

MixedComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“I have a copy and like it much.”

RecommendsComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“there is indeed a huge logical error at the heart of the whole enterprise”

CriticizesComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

“If you can read this book cover-to-cover, you're an absolute hero.”

CriticizesComment from 13 Aug 2026 in “Principia Mathematica is modern and insightful”

Counts come from 1,795,640 Hacker News comments, November 2025 to November 2026. How we count. Report a mistake.