Meaning: The quote you provided seems to be a reference to the work of Stephen Kleene, a prominent mathematician and logician. Kleene is best known for his work in mathematical logic and the development of the foundations of computer science. The quote suggests that Kleene was involved in a course led by someone named Church, who trained the participants intensively in a new system that he was developing. The mention of "two papers" being presented, with the second paper not being published until after the course was finished, hints at the rigorous and cutting-edge nature of the training offered by Church.

Stephen Kleene was a key figure in the development of mathematical logic and the foundations of computer science. He made significant contributions to the understanding of recursion theory, automata theory, and the development of formal systems. Kleene was also known for his work on the development of the regular expressions and Kleene algebra, which are fundamental concepts in theoretical computer science and formal language theory.

One of the most significant aspects of Kleene's work was his collaboration with Alonzo Church, another influential figure in the field of mathematical logic. Church is perhaps best known for the development of the lambda calculus, a formal system in mathematical logic and computer science. The quote you provided likely refers to Kleene's experience in a course led by Church, where he was exposed to Church's new system and received intensive training in its development.

The reference to "two papers" being presented in the course suggests that the participants, including Kleene, were engaged in scholarly and research-oriented activities as part of their training. The fact that the second paper was not published until well after the course was finished indicates that the material covered in the course was at the forefront of research and was likely to have a lasting impact on the field.

It is also worth noting that the quote provides a glimpse into the dynamic and collaborative nature of the academic and scholarly community in which Kleene was immersed. The fact that he was involved in a course where a new system was being developed suggests that Kleene was at the cutting edge of research and was actively engaged in the exploration of new ideas and concepts.

In conclusion, the quote you provided sheds light on Stephen Kleene's involvement in a course led by Alonzo Church, where he received intensive training in a new system that Church was developing. This experience likely had a significant impact on Kleene's own work and his contributions to the field of mathematical logic and computer science. The reference to "two papers" being presented in the course underscores the scholarly and research-oriented nature of the training, and the fact that the second paper was not published until after the course was finished speaks to the lasting impact of the material covered. Overall, the quote provides valuable insight into the collaborative and cutting-edge nature of the academic and scholarly community in which Kleene was an active participant.