Mathematics is hard for mathematicians to understand too | Science
At a recent conference focusing on the intersection of mathematics and automated proofs, renowned mathematician and Fields Medalist Akshay Venkatesh addressed a pressing question posed by a young student: “Do you believe that mathematics is worth being studied in a world in which a machine can answer everything for you?” This inquiry highlights a growing concern among students and educators alike regarding the relevance of traditional mathematical study in an era dominated by artificial intelligence. Venkatesh’s presentation, titled “How do we talk to our students about AI?”, emphasized the need to reevaluate the role and purpose of mathematics in a landscape increasingly influenced by automated technologies.
Venkatesh argued that the rise of AI presents a unique opportunity to bridge what he describes as an “essential gap” between the practice of mathematics and the core values that underpin the discipline. He referenced the insights of mathematician William Thurston, who famously stated that mathematics transcends mere numbers and algorithms; it is fundamentally about understanding. Venkatesh expressed concern that the current state of mathematical research often fails to embody this understanding, noting that many papers and presentations leave audiences bewildered rather than enlightened. He lamented that a significant portion of mathematical work is not accessible or comprehensible, which may alienate students and diminish their enthusiasm for the subject. This disconnect between the complexity of mathematical communication and the fundamental values of clarity and understanding is something that Venkatesh believes needs to be addressed, especially in the context of AI’s growing influence on the field.
The implications of Venkatesh’s insights are profound, as they challenge educators to rethink how they engage with students in an age where machines can perform complex calculations and proofs. Instead of viewing AI as a threat to the relevance of mathematics, Venkatesh encourages a perspective that sees it as a tool that can enhance mathematical understanding and pedagogy. By fostering a culture that prioritizes comprehension over mere computation, educators can inspire the next generation of mathematicians to appreciate the beauty and depth of the discipline. As the conversation around mathematics and AI evolves, it is crucial for educators to instill in students the belief that the true essence of mathematics lies not only in solving problems but in cultivating a deeper understanding of the world around them.
https://www.youtube.com/watch?v=m6ltzaOpPl8
At a recent conference on mathematics in the age of automated proofs, mathematician and Fields Medalist Akshay Venkatesh presented “How do we talk to our students about AI?” He quoted an email he’d received from a young student who asked, “Do you believe that mathematics is worth being studied in a world in which a machine can answer everything for you? What do you believe would be the ‘job’ of a mathematician in this world?” Venkatesh framed AI as an opportunity to correct what he called an “essential gap that has opened between the practice of mathematics and our values.” Mathematician William Thurston has explained these values by writing, “mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.” But Venkatesh argued that the record on this is terrible, lamenting that “for a typical paper or talk, very few of us understand it.” He is not alone in thinking that something is wrong with the current state of mathematics research.
Eric
Eric is a seasoned journalist covering Health news.
