Meaning: The quote you provided is attributed to Stephen Kleene, a prominent mathematician known for his work in mathematical logic and computability theory. Kleene was a key figure in the development of the field of computability, and his work laid the foundation for the theoretical understanding of computation and its limits. The quote appears to be a recollection of Kleene's experience at Princeton University in the 1930s, specifically regarding the absence of Emil Post, another influential figure in mathematical logic and the theory of computation.

During the 1930s, Princeton University was a hub for groundbreaking research in mathematics and logic, with notable figures such as Alonzo Church, Kurt Gödel, and John von Neumann making significant contributions to the field. Emil Post was also a prominent figure during this time, known for his work on formal systems, the decision problem, and the development of the concept of a "recursively enumerable" set.

In the quote, Kleene expresses his uncertainty about Post's presence at Princeton during the 1930s, stating that he cannot recall ever seeing Post at the university during that time. This remark provides insight into the dynamics and interactions among leading mathematicians and logicians during a pivotal period in the development of foundational theories of computation.

The absence of Post at Princeton during the 1930s may have had implications for the exchange of ideas and collaboration within the mathematical community at the university. It is worth noting that the 1930s marked a period of intense activity and intellectual ferment in the field of mathematical logic, with researchers grappling with fundamental questions about the nature of computation, the limits of formal systems, and the foundations of mathematics.

The quote by Kleene also offers a glimpse into the personal recollections and experiences of a prominent mathematician, shedding light on the social and professional dynamics of the academic environment at Princeton during that era. It reflects the close-knit community of scholars engaged in deep intellectual inquiry and the importance of personal interactions and relationships in the development of mathematical ideas and theories.

Furthermore, the quote underscores the significance of historical recollections and personal accounts in providing a nuanced understanding of the intellectual developments and interpersonal dynamics that shaped the evolution of mathematical logic and computability theory. By examining the perspectives and memories of key figures such as Kleene, we gain valuable insights into the human side of mathematical research and the ways in which individual experiences intersect with broader intellectual currents.

In conclusion, the quote attributed to Stephen Kleene offers a thought-provoking glimpse into the dynamics of the mathematical community at Princeton University during the 1930s, particularly in relation to the presence or absence of influential figures such as Emil Post. It serves as a reminder of the intricate interplay between personal recollections, social interactions, and intellectual developments in shaping the trajectory of mathematical inquiry during a pivotal period in the history of the field. Kleene's remark invites further reflection on the multifaceted nature of mathematical research and the ways in which personal experiences and relationships contribute to the rich tapestry of ideas that continue to inspire and challenge researchers in the field of mathematical logic and computation.