John Baez

johncarlosbaez.wordpress.com · Personal blog · on HN since 2011

John Baez, a mathematical physicist, writes on math, physics, category theory and complex systems on his Azimuth blog.

What HN saysHN commenters praise him as a favorite math writer, noting his blog, his long-running This Week's Finds, and his knowledge of music and math.
157HN people shared it
66linked it in comments
294stories submitted
7.2Kstory points
3 months agolast shared
2011people per year2026

Most-shared posts

  1. 1
    Homepage
    10 people · first shared 2015
  2. 2
    Mathematical Patterns That Eventually Fail
    8 people · 224 points · first shared 2018 · 36 comments on HN
  3. 3
    Computing the Uncomputable
    4 people · 79 points · first shared 2016 · 23 comments on HN
  4. 4
    Large Countable Ordinals, Part 1
    4 people · 59 points · first shared 2016 · 4 comments on HN
  5. 5
    Getting to the Bottom of Noether’s Theorem
    4 people · 23 points · first shared 2020 · 1 comments on HN
  6. 6
    The Complexity Barrier
    4 people · 5 points · first shared 2011 · discussion on HN
  7. 7
    Complex Adaptive System Design (Part 1)
    4 people · 4 points · first shared 2016 · discussion on HN
  8. 8
    The Color of Infinite Temperature
    3 people · 335 points · first shared 2022 · 132 comments on HN
  9. 9
    Planets in the Fourth Dimension
    3 people · 256 points · first shared 2015 · 53 comments on HN
  10. 10
    Ice
    3 people · 232 points · first shared 2012 · 12 comments on HN
  11. 11
    Water
    3 people · 85 points · first shared 2013 · 8 comments on HN
  12. 12
    Norbert Blum on P versus NP
    3 people · 8 points · first shared 2017 · discussion on HN
  13. 13
    Insanely Long Proofs
    3 people · 6 points · first shared 2016 · discussion on HN
  14. 14
    Rolling Hypocycloids
    3 people · 6 points · first shared 2013 · 1 comments on HN
  15. 15
    Struggles with the Continuum (Part 1) – Azimuth
    3 people · 3 points · first shared 2016 · 2 comments on HN

What HN people wrote when they linked it

pera · 2025-08-21
What do you mean? WordPress already supports ActivityPub through their plugin: https://wordpress.org/plugins/activitypub/ I follow a few blogs on Mastodon just fine (for example John Carlos Baez's Azimuth, https://johncarlosbaez.wordpress.com/), it's just like an RSS reader in your timeline.
awanderingmind · 2024-12-09
This is cute, but I don't understand why it's on the arXiv. It's only two pages long, of which almost half is a picture and the bibliography, and as far as I can see contains nothing novel. I love Baez's blog(s) (https://johncarlosbaez.wordpress.com/ and https://math.ucr.edu/home/baez/), and it seems this would have been better served posted there as a post. Am I missing something?
snicker7 · 2021-05-28
+1 for John Baez, one of my favorite math writer. Especially the Azimuth blog: https://johncarlosbaez.wordpress.com/
jrdres · 2024-12-20
I don't know enough music to tell if this is insightful, or just neat pattern-matching. A few months ago, mathematician John Baez had a series on the mathematics of various temperament and keys. Of course he knows his math, but also music thanks to being a member of rather famous musical family. (More math in the second link.) https://johncarlosbaez.wordpress.com/2024/01/11/well-temperaments-part… https://johncarlosbaez.wordpress.com/2023/10/07/pythagorean-tuning/
btilly · 2024-10-11
He is better known within physics as the author of This Week's Finds in Mathematical Physics, an archive of which is at https://math.ucr.edu/home/baez/TWF.html. His more current blog is available at https://johncarlosbaez.wordpress.com/.
dysoco · 2024-09-11
I remember John Carlos Baez having some interesting stuff: https://johncarlosbaez.wordpress.com/ Some other ones I had bookmarked the other day but haven't seen much in depth, mostly computer science based but more towards theory/math side: https://blog.computationalcomplexity.org/ https://semantic-domain.blogspot.com/ https://greydanus.github.io/ Also go to Terry Tao's blog and look at the sidebar, there are a lot of links to external blogs there.
daanlo · 2023-10-29
Why? Climate science works with quantative models and makes concrete predictions. So if the predictions don‘t come true the model is false. E.g. this random blog I found googling compares IPCC predictions with actual outcomes: https://johncarlosbaez.wordpress.com/2012/03/27/the-1990-ipcc-climate-… [the link is just supposed to show how climate science is falsifiable. I have no idea whether the numbers in this specific source are trustworthy]
avmich · 2019-09-18
https://johncarlosbaez.wordpress.com/2019/09/18/divesting/ Today it is large corporations which have the greatest power over daily life, and they are far more susceptible to pressure and change then the insulated bureaucracies of governments. Thankfully Bill and many others knew this years ago, and started a divestment campaign of breathtaking magnitude...
carrolldunham · 2019-08-22
This paper is so popular all over the web but nobody has ever managed to follow the proof of its 'theorem'. This guy is a math professor and quantum physicist and he was unable to extract any sense from it: https://johncarlosbaez.wordpress.com/2016/01/27/the-good-regulator-the… He points out that the proof uses terms that aren't even defined. The fact that the authors of the paper are a psychiatrist and, I think a humanities academic, doesn't fill me with confidence that the 'theorem' and its 'proof' are actually those things. It's disquieting to see so many people taking the paper's claim and running with it because it 'resonates'. I know there is also an 'internal model principle' paper which is technically correct but that applies to a specific set of linear systems under specific conditions.
yantrams · 2018-12-31
If I had to choose just one blog or a twitter account for that hypothetical deserted island question(what is the one x-item you'd choose if stranded on a deserted island?), it would be that of John Baez without a second thought. His personal blog and tweets are absolute treasure troves for anyone interested in Math. https://johncarlosbaez.wordpress.com https://twitter.com/johncarlosbaez The recent breakthrough in finding the smallest Lebesgue cover [1] was triggered by one of his blog posts about it a few years back. 1 -- https://www.quantamagazine.org/amateur-mathematician-finds-smallest-un…
orangecat · 2018-09-23
My favorite example of this sort is from the same blog: https://johncarlosbaez.wordpress.com/2016/05/06/shelves-and-the-infini… . It's a sequence generated by completely normal integers, but to prove that it diverges (after an astronomically large number of items) you have to assume the existence of a specific large transfinite cardinal.
danbruc · 2018-05-05
Does not work according to [1], see followup puzzle 2 and its solution. At least if my interpretation of your proposed solution is correct, i.e. that you fix your threshold number in advance. Not sure if a delayed random choice would help. [1] https://johncarlosbaez.wordpress.com/2015/07/20/the-game-of-googol/
pizza · 2018-02-06
Yup. Fantastic series on the dynamical process mathematics of the environment/climate change from John Baez https://johncarlosbaez.wordpress.com/2012/11/06/mathematics-and-the-en…
yread · 2017-10-07
The article is by John Baez who has an awesome blog https://johncarlosbaez.wordpress.com He has some really inspiring stuff there like the topology of mosaics in Alhambra
CarolineW · 2017-08-15
That's not the question you asked. If you want to know more about the context of this specific paper then you need to (a) wait for the people in the area to start writing explanations, or (b) ask more specific questions about specific terms. A good place to start to get a sense of what's going on with this specific paper is this thread, but more particularly, the articles linked from it. One that I think is a great starting point is this one: https://johncarlosbaez.wordpress.com/2017/08/15/norbert-blum-on-p-vers… But you should perhaps start by asking the question you actually want the answer to - it sounds like you didn't. So take a moment, do some reading, then come back with particular questions. They may already be answered, but before you did the outside reading you didn't realise. That's what happens to me.
mikhailfranco · 2017-04-12
jesuslop · 2015-09-07
You can check John Baez's Azimuth blog (math oriented) at https://johncarlosbaez.wordpress.com.
stared · 2015-07-06
Frequently: http://www.economist.com/ - my second best feed (after HN) Occasionally: http://www.datatau.com/ - HN for data science https://johncarlosbaez.wordpress.com/ - Mathematics, Theoretical Physics https://terrytao.wordpress.com/ - Mathematics http://slatestarcodex.com/ - Less Wrong-kind stuff (the guy writes frequent and well, but somehow too verbosely) http://visualizing.org/ - data visualizations A bit of G+ (mainly, if not only, for a few guys in mathematics and physics).
pygy_ · 2011-03-04
Nobody gives a damn, but I'm immensely happy to see this man turn to my field, if only for this kind of post: http://johncarlosbaez.wordpress.com/2011/02/10/rnyi-entropy-and-free-e… The ongoing series on information geometry also looks excellent.
nextaccountic · 2022-01-22
I love John Baez's blog too! But actually I think his long winded, mathematically challenging posts are more interesting. Like this series https://johncarlosbaez.wordpress.com/2012/01/19/classical-mechanics-ve… https://johncarlosbaez.wordpress.com/2012/01/23/classical-mechanics-ve… https://johncarlosbaez.wordpress.com/2021/09/23/classical-mechanics-ve… https://johncarlosbaez.wordpress.com/2021/09/26/classical-mechanics-ve… An excerpt from the first article: > The big picture > Now let’s step back and think about what’s going on. > Lately I’ve been trying to unify a bunch of ‘extremal principles’, including: > 1) the principle of least action > 2) the principle of least energy > 3) the principle of maximum entropy > 4) the principle of maximum simplicity, or Occam’s razor > In my post on quantropy I explained how the first three principles fit into a single framework if we treat Planck’s constant as an imaginary temperature. The guiding principle of this framework is > maximize entropy > subject to the constraints imposed by what you believe > And that’s nice, because E. T. Jaynes has made a powerful case for this principle. > However, when the temperature is imaginary, entropy is so different that it may deserves a new name: say, ‘quantropy’. In particular, it’s complex-valued, so instead of maximizing it we have to look for stationary points: places where…
dredmorbius · 2020-11-29
Both axes are irrelevant (not that the statistics have any validity: itsajokeson.jpg) The real question is: what tools are people who write truly excellent blogs using? Rakhim himself is using Hugo. Gwern organises their blog on a long-content basis using online services but a custom software and design mix, static site. https://www.gwern.net/About#long-site John Baez's Azimuth blog runs on Wordpress. https://johncarlosbaez.wordpress.com The wiki is on Instiki: https://www.azimuthproject.org/azimuth/show/HomePage Steve Keen posts to Patreon: https://www.patreon.com/ProfSteveKeen Tim Bray's "Ongoing" is "Generated from XML source code using Perl, Expat, Emacs, Mysql, Ruby, Java, and ImageMagick. Industrial-strength technology, baby." https://www.tbray.org/ongoing/ Joey Hess blogs on ikiwiki (wwhich he wrote himself). https://joeyh.name/blog/ https://joeyh.name/code/ikiwiki/ EFF runs Drupal 7 https://www.eff.org/document/end-trust-0 Most Interesting People post to some Wordpress, organisational, social media, or other blogging tool. It's what's easy or available. My own experience across 20+ years of online posting is a mix of trying to suit my needs and find a good conversation. Currently, HN is one of my principle outlets: the crowd's pretty good, tends to call my bullshit, dang keeps the noise floor down, and Algolia search lets me find my shit. It's not a blog, but it fills some needs and interests. The problem with "choose the easy path" is…
Sniffnoy · 2018-08-03
> Sure, oridnals are interesting, but in the context of explaining infinity to kids transfinite induction is probably not the easiest thing to throw into the fun basket. Even first-year undergrads often have to learn regular induction! Sure, but do you really have to explain that? When I imagine introducing kids to ordinals, like the OP talks about, I'm assuming it's basically taking the approach in, say, John Baez's blog posts on large countable ordinals[1]. [1] https://johncarlosbaez.wordpress.com/2016/06/29/large-countable-ordina… https://johncarlosbaez.wordpress.com/2016/07/04/large-countable-ordina… https://johncarlosbaez.wordpress.com/2016/07/07/large-countable-ordina… > Any examples that you could introduce to a kid who just asked you "What is infinity?" - genuinely curious. Hm, maybe not. Maybe some of the classic examples of weird things that can happen with transfinite-time processes... but explaining any of that might be hard. And also that might not really be the right time to introduce people to discontinuity. Really like I said I was basically thinking of the approach above, without application. I think it stands on its own pretty well, it's fun, you can play around with it -- it's basically the "is too, times infinity+1!" game except formalized (so it kind of comes naturally out of something kids already try to do) -- and the questions have actual answers.
gsf_emergency_4 · 2025-11-07
Ah those delvers who remember their lock combinations might still visit HN then (hello @Syzygies? https://raw.githubusercontent.com/Syzygies/log_folders/master/keyboard… And ahem ahem singularities https://johncarlosbaez.wordpress.com/2025/11/05/the-inverse-cube-force… )
ColinWright · 2025-07-29
I've linked to the post on Mathstodon because it is an introductory overview of the blog post. The blog post dives into some heavy math very quickly, so the overview is a useful starting point. https://johncarlosbaez.wordpress.com/2025/07/26/the-kepler-problem-par…
theamk · 2022-01-03
More information about this case: check the comments of https://johncarlosbaez.wordpress.com/2020/08/08/diary-2003-2020/
tmhn1 · 2021-11-30
John Baez has been blogging since 1993 or so. This week's finds (older): https://math.ucr.edu/home/baez/twf.html Azimuth project (newer): https://johncarlosbaez.wordpress.com/about/
omgwtfbyobbq · 2021-10-12
I think it's more that category theory could be used as a way to accurately model the complex systems in our world, which may help "save the planet." https://johncarlosbaez.wordpress.com/2016/10/02/complex-adaptive-syste…

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