Explore the ongoing debate: do large language models possess genuine intelligence, or are they sophisticated mimics akin to philosophical zombies? Dive into arguments about their mathematical capabilities and performance against humans.
Explore the diverse and often surprising reasons why individuals have a favorite number, from intricate mathematical properties to deeply personal memories and practical applications. Discover the stories behind cherished digits.
Explore whether mathematical algorithms represent "leaky abstractions" compared to software engineering practices. This analysis delves into the definition of abstraction across disciplines.
Explore how motivated individuals can make meaningful contributions to pure mathematics and theoretical physics without formal academic careers. Learn practical strategies for navigating academic communities, finding mentorship, and getting your ideas recognized.
Discover viable and lucrative career paths for pure mathematics graduates, from software engineering and quantitative finance to bioinformatics and the gambling industry. Learn how to leverage your analytical skills for a successful career outside of academia.