In 1956, a few writings of Wittgenstein that he didn't publish in his lifetime were revealed to the public. These writings were gathered in the book Remarks on the Foundations of Mathematics (1956). There, we can see that Wittgenstein had some discontentment with the way philosophers, logicians, and mathematicians were thinking about paradoxes, and he even registered a few polemic reasons to not accept Gödel’s incompleteness theorems.

Сборник статии и интервюта на академик Едуард Павлович Кругляков, редовен член на Руската академия на науките, физик с висок международен научен престиж и председател на Комисията за борба с лъженауката и с фалшифицирането на научните изследвания към Руската академия на науките. Книгата е ориентирана към съвремието, свързано с настъпването на лъженауката в Русия, и много по-слабо засяга проблемите на догматичната и силово налагана лъженаука през сталиновия период.

We look at a hierarchical arrangement of ideals in an MV -algebra. The principal classes of ideals studied are the maximals, the primes, the local and perfect ideals and the semi-locals. Beyond these special classes of ideals are the general ideals. Herein we study some relationships among these classes and, more specifically, the products of ideals of these classes. Among the results obtained are the square of a prime ideal is a local ideal, the finite product of prime ideals is (...) a semilocal ideal. We also show that the set of local ideals shares many of the properties of the class of prime ideals, as the Lying Over Theorem and the Going Up Theorem. (shrink)