When the book appeared it received many negative reviews[2] mostly from working logicians and mathematicians, among them Michael Dummett, Paul Bernays, and Georg Kreisel.

[5][6] Today Remarks on the Foundations of Mathematics is read mostly by philosophers sympathetic to Wittgenstein and they tend to adopt a more positive stance.

[7] Wittgenstein's philosophy of mathematics is exposed chiefly by simple examples on which further skeptical comments are made.

Particularly controversial in the Remarks was Wittgenstein's "notorious paragraph", which contained an unusual commentary on Gödel's incompleteness theorems.

In 2000 Juliet Floyd and Hilary Putnam suggested that the majority of commentary misunderstands Wittgenstein but their interpretation[8] has not been met with approval.

[12] Some commentators, such as Rebecca Goldstein, have hypothesized that Gödel developed his logical theorems in opposition to Wittgenstein.