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 Mar5 comment What technical books should I read to understand clearly Gödel's theorems and their implications for math? I also suggest the lecture notes "Gödel Without (Too Many) Tears" by the very Peter Smith. They are available from logicmatters.net/igt/godel-without-tears Feb18 comment Reference for Algebraic Categories Look at the book "Algebraic Theories: A Categorical Introduction to General Algebra" by Adamek et al. books.google.es/books?id=siNlAn8Bm30C The book is available from Adamek's web page iti.cs.tu-bs.de/~adamek/algebraic_theories.pdf Jan19 comment When do finite linear orders have the same theory in MSO? Hint: Combine the following two facts to answer your question 1) finite structures have the same first-order theory iff they are isomorphic, 2) the monadic second order language is more expressive than the first-order one. Jan12 comment Fuzzy Logic Question Help Hint: First, think about how solving it with classical logic. And then use the same idea. Oct8 comment Best Mathematical Logic Books the Style of Which is Like a Mathematics Publication rather than a Logic Publication? @Comeseeconquer: I am afraid I have the same troubles than Carl to follow your question. How do you think it is written "for every $x$, if $x$ is a real number then $x^2 \geq 0$" in a mathematical book? Oct8 comment Colimits in the 2-category of partial functions (which is locally posetal) @Zhen: Why is this true? Given a plain bicomplete category $\mathcal{C}$, there are many ways to look at it as a locally posetal one. Thus, I can imagine it might be the case there is some strange partial order where bicolimits do not exist (while colimits, as a plain category, exist). Is this not possible? Oct8 asked Colimits in the 2-category of partial functions (which is locally posetal) Sep7 comment Any Computational Number Theory Book, include software programs for key steps of the proofs of major theorem? Something close (except for what Conifold has said in his comment) can be found in the book "Elementary Number Theory: Primes, Congruences, and Secrets" by William Stein. The book and the software are freely availabe: visit wstein.org/ent and sagemath.org Sep2 comment Colimits in the category of “sets with partial mappings” Thanks for the clarification. I guess you mean "colimits" (since limits are not preserved). Sep2 asked Colimits in the category of “sets with partial mappings” Jul2 awarded Curious May30 comment How did Kurt Gödel's Incompleteness Theorem affect the mathematical world? To start take a look at the papers published in this volume of the Notices AMS ams.org/notices/200604 (in particular I point out the paper by Solomon Feferman). Another related paper worth looking at it is one by Macintyre (take a look at books.google.es/books?id=Tg0WXU5_8EgC&pg=PA3 ) Apr12 accepted The idea of “generators” for arbitrary categories Apr11 comment The idea of “generators” for arbitrary categories I am not able to understand what you mean with "$\{ x \circ f \mid x \in X \}$"; can you tell me what is $f$? Apr11 comment The idea of “generators” for arbitrary categories @espen180: Be careful because the upset generated is not the same thing than the filter generated. The notion of filter is isually used in the context of lattices (a particular kind of partial orders), and filters are always closed under finite meets, while upsets might not be closed under finite meets. Apr11 comment The idea of “generators” for arbitrary categories @Mariano: I am afraid that this wikipedia notion does not coincide with the one I have written above for partial orders (although the same word "generator" is used), so it is not adequate for what I really want to generalize. Apr11 asked The idea of “generators” for arbitrary categories Mar31 revised Need help locating a paper deleted 4 characters in body Mar31 answered Need help locating a paper Mar28 comment nonisomorphic graph drawings You can try to use some software for drawing them, this is always helpful (see for instance the "sage" code in the question ask.sagemath.org/question/3473/… )