If you’re reading Obscure and Confused Ideas or the comments to this post on logicandlanguage.net, then you probably know that Greg Frost-Arnold is working on a book about what went on at Harvard in 1940/41, when Carnap, Quine, and Tarski were hanging out there. While you’re waiting for that book to come out, you could look at Paolo Mancosu‘s paper on some of the same stuff, hot off the presses of HPL:
Paolo Mancosu, Harvard 1940–1941: Tarski, Carnap and Quine on a finitistic language of mathematics for science. History and Philosophy of Logic 26/4 (2005) 327-357
Tarski, Carnap and Quine spent the academic year 1940–1941 together at Harvard. In their autobiographies, both Carnap and Quine highlight the importance of the conversations that took place among them during the year. These conversations centred around semantical issues related to the analytic/synthetic distinction and on the project of a finitist/nominalist construction of mathematics and science. Carnap’s Nachlaß in Pittsburgh contains a set of detailed notes, amounting to more than 80 typescripted pages, taken by Carnap while these discussions were taking place. In my article, I present a survey of these notes with special emphasis on Tarski’s rejection of the analytic/synthetic distinction, the passage from typed languages to first-order languages, Tarski’s finitism/nominalism, and the construction of a finitist language for mathematics and science.
Maybe Greg wants to follow up?