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What is infinity? Are there larger and smaller infinities? How many are there? Is it just a mathematical abstraction or part of reality? The conversation with Dr. Tomasz Miller was led by Paweł Błach - a popularizer of science and the originator of the Encounters with Science series. Dr. Tomasz Miller is a mathematical physicist and popularizer of science. He works at the Copernicus Center for Interdisciplinary Studies at the Jagiellonian University, where he studies geometric structures that lie on the border between general relativity and quantum mechanics. A regular contributor to "Tygodnik Powszechny" and a translator of popular science literature. He can be found on the Copernicus YouTube channel, where he talks about physics, cosmology and mathematics - including in the series of mini-lectures "Let's start from scratch". Meetings carried out as part of the "Encounters with Science - From Space to Artificial Intelligence" project, financed from the 2024 Citizens' Budget of the Municipality of the City of Radom.