I'm seeing a lot of negative signals, today, in my feed, and if it's your case too, let me tell you; Never fall to despair, to dread, to anxiety, to demoralization, to the prophets of doom. There's a lot that matters in this world, dare I say, there's a lot left to fight for in this world. You still got that fire that was given to you a long time ago, you've got to keep it alive and bright, always remember that. 🔥

I haven't recommended anything on philosophy in a little while, therefore I'll have you check out 'Abstract Object and the Semantics of Natural Language' by Friederike Moltmann (Oxford University Press). Outside of the aesthetically pleasing cover (a rarity for a technical book!), it's one of the most interesting take on philosophy and semantics that I've read in recent memories. This book is a technically demanding affair, I must say, but a very rewarding read as well. If you're into linguistics and philosophy, just like me, get this one.

This is one of the most important result in the history of mathematics, Hilbert's 10th problem that is, which was ''resolved'' by Yuri Matiyasevich, who actually wrote this book (and of course let's forget about Julia Robinson, Davis, Putnam)! This is another topic that needs more exposure, but in any case, all you need to get into this one is some elementary number theory and a good foundation in logic.

Due to the current discussion on the future of mathematics, it's obvious to me that it's time for many, to finally read ''Mathematics as Metaphor'', which are the philosophical reflections of Yuri Manin, one of the greatest minds of the 20th century, on mathematics. Let's raise the level of the discourse.

I've been fascinated by many topics in linguistics so far, but I've devoured ''The Lexicon'' by James Pustejovsky and Olga Batiukova, part of of fantastic ''Cambridge Textbooks in Linguistics'' series. There are many interesting linguistic framework presented in the book, and I never realized how interesting the topic of ''the lexicon'' would be. The construction grammar and the generative lexicon frameworks for example had me thinking, and still do! There was also an interesting dose of philosophy of language, history of the topic and more, so if you're syntax theory is not up to par just yet, you still can enjoy a few chapters. Chapters recommendations for those who might not have the time to read this in totality: Lexicon and syntax, Lexicon and semantics, The structure of a lexical entry, Lexical aspects, tense, modality and General architecture of the lexicon.

I've always loved Jon Barwise description of mathematics as ''The Science of Abstract Object'' instead of the descriptions I often encounter, such as the commonly held description of mathematics ''as a language''. I think that Barwise description widens the horizon of what mathematics is about, which I think is currently, of absolute importance.

Not trying to be Mr. contrarian, but the latest set of results from AI companies in mathematics isn't igniting any sense of doom in me, in fact, it's quite the opposite.