Category Archives: Uncategorized

Some Philosophy of Science

Defenders of certain failed speculative theories like to accuse those who point to their failure of being “Popperazzi”, relying on mistaken and naive notions about predictions and falsifiability due to Karl Popper. That’s never been the actual argument for failure, … Continue reading

Posted in Uncategorized | 18 Comments

Why the Szpiro Conjecture is Still a Conjecture

There has been a remarkable discussion going on for the past couple weeks in the comment section of this blog posting, which gives a very clear picture of the problems with Mochizuki’s claimed proof of the Szpiro conjecture. These problems … Continue reading

Posted in Uncategorized | 39 Comments

Latest on abc

Davide Castelvecchi at Nature has the story this morning of a press conference held earlier today at Kyoto University to announce the publication by Publications of the Research Institute for Mathematical Sciences (RIMS) of Mochizuki’s purported proof of the abc … Continue reading

Posted in Uncategorized | 136 Comments

Various and Sundry

If like most other people you’re stuck at home, and having trouble concentrating on the projects you thought the current situation would cause you to finally find the time to complete, one thing you could do is watch a lot … Continue reading

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Proof of the abc Conjecture?

While I was traveling this past week, there was a conference held here entitled L-functions and Automorphic Forms, which was a celebration of the 60th birthday of my math department colleague Dorian Goldfeld. From all I’ve heard the conference was … Continue reading

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Penrose at The Portal

Since last summer Eric Weinstein has been running a podcast entitled The Portal, featuring a wide range of unusual and provocative discussions. A couple have had a physics theme, including one with Garrett Lisi back in December. One that I … Continue reading

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Why String Theory Is Both A Dream And A Nightmare (as well as a swamp…)

Ethan Siegel today has a new article at Starts With a Bang, entitled Why String Theory is Both a Dream and a Nightmare. For the nightmare part, he writes: its predictions are all over the map, untestable in practice, and … Continue reading

Posted in Swampland, Uncategorized | 6 Comments

Weinberg in Physics Today

The March issue of Physics Today is now available. It contains a piece by Steven Weinberg based on a banquet talk he gave to a group of postdocs. He describes his own memories of his time as a postdoc, writing … Continue reading

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A few months ago I ended up doing a little history of science research, trying to track down the details of the story of the Physical Review’s 1973 policy discouraging articles on “Foundations”. The results of that research are in … Continue reading

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London Calling with Career Opportunities II

If you’re a mathematician, you don’t need to go work for Dominic Cummings in order to have dramatically improved career opportunities in the UK. The British government has just announced a huge increase in funding for mathematical research: 60 million … Continue reading

Posted in Uncategorized | 25 Comments