Keynote Title
Choice, The Greatest Challenge To The Universality of Mathematical Research Results
Summary
The universality of mathematical research results, once considered an inherent characteristic of the field, is increasingly being challenged. Mathematical researchers make choices concerning the focus and prioritization of their investigations, the theoretical frameworks and assumptions they adopt, the methodologies and approaches they employ, and the interpretation and communication of their findings. Understanding the effects of human choices on mathematical research results is crucial for advancing the field, fostering innovation, and ensuring the responsible utilization of mathematical knowledge in various domains. These choices can lead to paradigm shifts, breakthroughs, emergence of new branches of mathematics and the outcome as a result of the application of the mathematical results. Ethical considerations guide scientists in making responsible choices, especially in the context of practical applications and societal impact. Ethical considerations arise as mathematical research intersects with domains such as artificial intelligence, data analytics and military science, where biases and context-dependent factors can impact the validity and generalizability of results. This lecture emphasizes the need for awareness, transparency, and rigor in the decision-making process within mathematical research and the use of their results. The lecture highlights the need for a nuanced understanding of the limitations and contextual nature of mathematical research results.
English