Mathematics and Society Reunited: Social Aspects of Brouwer's Intuitionism

Explore the social dimensions of Brouwer's mathematical intuitionism in this thought-provoking lecture from the Orange County Inland Empire (OCIE) Seminar series in History and Philosophy of Mathematics. Delve into Kati Kish Bar-On's examination of Brouwer's philosophy, challenging the common perception of his approach as purely intra-subjective or solipsistic. Discover how the Significs Dialogues reveal Brouwer's considerations of the social aspects of mathematical practice. Investigate the interplay between society, individuals, and mathematical knowledge in Brouwer's thought, and consider critical questions about the influence of social, personal, and political events on intuitionism's development. Gain insights into how Brouwer's social perspective may have shaped the content of his mathematical philosophy. Conclude by exploring potential implications and future research directions in this fascinating intersection of mathematics, philosophy, and society.