Foundations Definition and 116 Threads

I am trying to decide whether to study the foundations of mathematics i.e. formal logic, Godel's Incompleteness Theorem, set theory, etc. The reason is that recently I have been taking advanced math courses such as topology, analysis, and abstract algebra and I am fascinated by this seemingly...

Why isn't there a problem on the foundations of maths in the Mellinium problems? If there was one which one would it be?

http://www.gravityresearchfoundation.org/announcements.html" Congratulations to S. Carlip for the first prize.

Chemistry deals with say 10^10 atoms or more (many types of molecules intermolecularly bounded together by dipole or disperson forces) so saying that quantum theory is the foundations of chemistry may be not be fully correct as quantum theory deals with countable number of atoms and only small...

what in the name of the world made string theorists think that the universe is made of strings? what is the basis for this assumption?

Conference "Philosophical and Formal Foundations of Modern Physics", Les Treilles, April 23-28 (organized by Michel Bitbol and Alexei Grinbaum) See http://www-drecam.cea.fr/Phocea/Vie_des_labos/Ast/ast_visu.php?id_ast=762" Monday, April 23 7:30 pm Alexei Grinbaum and Michel Bitbol...

Since January 2007 with Nobel prize laureate Gerardus ‘t Hooft appointed as editor-in-chief. His first editorial is here: http://www.springerlink.com/content/867288v5118851k7/fulltext.pdf The magazine is here: http://www.springerlink.com/content/1572-9516/ The January and February...

Free e-book is now available. Author: http://arxiv.org/find/grp_physics,grp_math,grp_nlin/1/au:+Sharipov/0/1/0/all/0/1" Title: Foundations of geometry for university students and high-school students Link: http://arxiv.org/abs/math.HO/0702029/"

String theory is supposed to be a theory of "everything". In your opinion, should string theory, or some other "theory of everything", solve the problem of measurement in quantum mechanics and other related foundational problems of quantum mechanics? Anyway, for my contributions to that...

The purpose of this thread is to explore Dr. Richard Stafford's paper 'The Foundations of Reality' in order that I (and anyone else who wants to try) can come to some understanding of it. I'll quote from some introductory essays written by the author and also by Paul Martin, who has spent some...

The "The Foundations of Relativity" thread was so helpful for me that I was able to learn a lot very quickly and I thank everyone who made the effort and time to help me out - but in an effort to prevent it from being too long I decided to start the next part in the series in a brand new thread...

Im trying to understand more about the foundations upon which general relativity lies. The first thing I need to clarify is the space in which GR works. I've read that GR merges time and space into spacetime, which to my understanding means that, when considered separately, time and space are...

I would like anyone to comment on a proposal I have written (it's short and intuitive) for a system of "Practical Numbers". The idea is to deny the Axiom of Choice, thus eliminating, or obviating, the notion of infinity and accepting the consequences of a largest integer and a smallest interval...

Dear Sirs, I am posting here for one reason and one reason only. There are apparently a great number of powerful people on the main forum who would like me to go away. If they were the only people on the forum, I would certainly do so; however, I think leaving would do a great disservice to...

Hi, Please read http://www.geocities.com/complementarytheory/No-Naive-Math.pdf (include its links). I'll be glad to get your detailed remarks and insights. Thank you, Lama ----------------------------------------------------------------------------------- Edit (11/8/2004)...

Again, I'm not sure if this belongs here, but it fits as well as Flatland. Spaceland is a SF story by Rudy Rucker. It deals with the life of Joe Cube (stupid name, I know), and how it's changed when he's visited by a four-dimensional woman, named Momo. As corny as it may sound (and as...