Meaning:
This quote by Stephen Kleene, a prominent mathematician and logician, reflects his pursuit of knowledge and understanding in the field of mathematics. Stephen Kleene was known for his work in mathematical logic, particularly in the areas of recursion theory and computability. His quote suggests that he sought to broaden his understanding of mathematics beyond the realm of logic, indicating his interest in exploring different branches of mathematics.
Stephen Kleene's reference to reading "one or two other books which gave me a background in mathematics other than logic" highlights the importance of having a well-rounded education and a diverse knowledge base. While logic is undoubtedly a fundamental aspect of mathematics, Kleene recognized the value of gaining expertise in other mathematical disciplines. This demonstrates his intellectual curiosity and his recognition of the interconnectedness of various mathematical fields.
In the context of Kleene's career, this quote may signify his efforts to expand his expertise and delve into areas of mathematics beyond his primary focus on logic. As a mathematician, Kleene likely recognized the benefits of having a broad understanding of mathematics and the potential insights that could be gained from exploring different mathematical theories and concepts.
It is also worth noting that Kleene's statement emphasizes the role of literature in shaping one's understanding of mathematics. By referring to the books he read, Kleene underscores the significance of learning from existing mathematical literature and the impact that such knowledge can have on one's professional development. This aligns with the broader idea that education and learning are ongoing processes that involve engaging with a wide range of resources and perspectives.
In the context of mathematics as a whole, Kleene's quote serves as a reminder of the interdisciplinary nature of the field. While specialization is common in mathematics, the interconnectedness of different branches and the potential for cross-disciplinary insights are essential aspects of the discipline. Kleene's acknowledgment of the value of broadening his mathematical background reflects a mindset of continual learning and exploration within the field of mathematics.
Overall, Stephen Kleene's quote offers insight into his approach to learning and professional development as a mathematician. His recognition of the importance of gaining a background in mathematics beyond logic and his willingness to engage with diverse sources of knowledge align with the values of intellectual curiosity and interdisciplinary exploration that are central to the pursuit of mathematics. Kleene's words serve as a testament to the ongoing quest for knowledge and understanding that characterizes the work of mathematicians and scholars in the field.