This conversation explores the intersection of mathematics and human experience, focusing on historical figures, philosophical debates, and the ethical implications of scientific progress. Jason Socrates Bardi discusses his book 'The Great Math War', which delves into the personal stories of mathematicians, the challenges of teaching math, and the relevance of these themes in today's world, particularly in the context of AI and misinformation.Takeaways The personal experiences of mathematicians shape their work. Philosophical clashes in mathematics reflect broader societal issues. Hilbert's optimism about problem-solving parallels today's AI discussions. Historical context is crucial in understanding mathematical developments. Ethics in science must be prioritized to avoid past mistakes. There are limits to human knowledge that we must acknowledge. Mathematics is a fundamental human skill, not just for the gifted. The future of mathematics will be influenced by AI and technology. Understanding historical fallacies can inform current practices. Kovalevsky's story is an inspiring example of overcoming barriers.Chapters 00:00 The Personal Journey Behind The Great Math War 03:08 The Philosophical Clash in Mathematics 05:13 The Great Math War: Key Players and Their Missions 07:38 The Foundations of Mathematics: Paradoxes and Theories 08:55 The Role of Historical Context in Mathematics 10:00 The Human Side of Mathematics: Stories of Resilience 12:36 Ethics in Science and the Modern Age 14:56 The Future of Mathematics and Technology 25:32 The Spectrum of Idealism and Realism 26:13 Understanding Ignoramus et Ignoramnibus 29:04 Neuroscience and the Evolution of Mathematics 33:12 The Future of AI and Consciousness 35:31 Fallacies and Paradoxes in Mathematics 38:31 The Legacy of Sofia Kovalesky 43:10 The Great Math War: A Reflection on Logic and HumanityFollow Jason on LinkedIn, Twitter, and find his new book here.Subscribe to Breaking Math wherever you get your podcasts.Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter, BlueSky, and InstagramBecome a guest hereemail: breakingmathpodcast@gmail.com