Influential themed journal issues across the physical mathematical and engineering sciences.
Tony Feng on Twitter / X
I am a mathematician but I avoided commenting on this because the problems are (far) outside my domain. Even if I sat down to read the technical details (which I have not), it would be hard to appreciate the context of prior work, etc. But I've gotten enough sense of things… https://t.co/VZzosBYFto— Tony Feng (@tonylfeng) August 5, 2026
Exponential Economist Meets Finite Physicist | Do the Math
[An updated treatment of some of this material appears in Chapter 2 of the Energy and Human Ambitions on a Finite Planet (free) textbook, also mirrors a 2022 article in Nature Physics..]
Bartosz Naskręcki on Twitter / X
Congrats to @LechMazur for the solution and to Terence Tao for the digestion and storytelling. You see the trend. Mathematicians are still needed if we want to make any sense of the formal proofs. For now... Maybe the next gen LLMs will simply read allthe blogs of Terry and… https://t.co/yXiISCrNAF— Bartosz Naskręcki (@nasqret) August 13, 2026
A Mathematical Theory of Communication
"A Mathematical Theory of Communication" is an article by mathematician Claude Shannon published in Bell System Technical Journal in 1948. It was renamed The Mathematical Theory of Communication in the 1949 book of the same name, a small but significant title change after realizing the generality of this work. It has tens of thousands of citations, being one of the most influential and cited scientific papers of all time, as it gave rise to the field of information theory, with Scientific American referring to the paper as the "Magna Carta of the Information Age", while the electrical engineer Robert G. Gallager called the paper a "blueprint for the digital era". Historian James Gleick rated the paper as the most important development of 1948, placing the transistor second in the same time period, with Gleick emphasizing that the paper by Shannon was "even more profound and more fundamental" than the transistor.
Thoughts about the Leiden Declaration
Last September I went to a workshop at the Lorentz Centre in Leiden to discuss mathematics and AI with historians, philosophers, computer scientists, AI researchers, and mathematicians of several d…
Emily Riehl, A New Paradigm for Mathematical Proof? | Natural Philosophy Symposium 2025
The Whale and the Reactor: A Search for Limits in an Age of High Technology, Second Edition
“In an age in which the inexhaustible power of scientific technology makes all things possible, it remains to be seen where we will draw the line, where we will be able to say, here are possibilities that wisdom suggest we avoid.” First published to great acclaim in 1988, Langdon Winner’s groundbreaking exploration of the political, social, and philosophical implications of technology is timelier than ever. He demonstrates that choices about the kinds of technical systems we build and use are actually choices about who we want to be and what kind of world we want to create—technical decisions are political decisions, and they involve profound choices about power, liberty, order, and justice. A seminal text in the history and philosophy of science, this new edition includes a new chapter, preface, and postscript by the author.
Hyperproblems: New Ways of Doing and Communicating Science - Hyperproblems
The Philosophical Implications of the Second Scientific Revolution
Notes from my history of philosophy course lecture on Darwin, Maxwell, Einstein, and Bohr
The Journal of Scientific Integrity
by Laura Luebbert and Lior Pachter Background (by LL) Four years ago, during the first year of my PhD at Caltech, I participated in a journal club organized by the lab I was rotating in. I was assi…
Leiden Declaration on Artificial Intelligence and Mathematics
This declaration calls for action to address the challenges posed by the use of artificial intelligence within mathematics research.
Leiden Declaration on Artificial Intelligence and Mathematics
This declaration calls for action to address the challenges posed by the use of artificial intelligence within mathematics research.
Thoughtful and relevant outside math. A partial summary: Gowers thinks it’s important to sustain a human mathematical culture, but is unconvinced by the Leiden Declaration’s attempt to do that by reaffirming human ownership of specific *discoveries*.
tachikoma
an interesting blog post by Timothy Gowers on the Leiden declaration (on AI and Math), on why he didn't sign. it gets to a subtler aspect of control over AI and our future.
math complex systems
papers added probably have a bio connection or implication i made
Quantifying causal emergence shows that macro can beat micro | PNAS
