『New Books in Mathematics』のカバーアート

New Books in Mathematics

New Books in Mathematics

著者： Marshall Poe
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 This podcast is a channel on the New Books Network. The New Books Network is an academic audio library dedicated to public education. In each episode you will hear scholars discuss their recently published research with another expert in their field. Discover our 150+ channels and browse our 28,000+ episodes on our website: newbooksnetwork.com Subscribe to our free weekly Substack newsletter to get informative, engaging content straight to your inbox: https://newbooksnetwork.substack.com/ Follow us on Instagram and Bluesky to learn about more our latest interviews: @newbooksnetwork Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematicsNew Books Network 博物学 科学 自然・生態学
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  • Jeremiah Joven Joaquin and James Franklin eds., "The Necessities Underlying Reality: Connecting Philosophy of Mathematics, Ethics and Probability" (Bloomsbury, 2025)

    Jeremiah Joven Joaquin and James Franklin eds., "The Necessities Underlying Reality: Connecting Philosophy of Mathematics, Ethics and Probability" (Bloomsbury, 2025)
    2025/12/24
    The Necessities Underlying Reality: Connecting Philosophy of Mathematics, Ethics and Probability (Bloomsbury, 2025) is an open access book that covers four decades of work by the leading Australian philosopher, mathematician and historian of ideas, James Franklin.These interlinking essays are connected by a core theme: the necessary structures in reality that allow certain knowledge of absolute truths. Franklin's Aristotelian realist philosophy of mathematics shows how mathematical truths are directly about physical reality, and at the same time certainly and provably true. Ranging from mathematics to evidence evaluation to ethics, his philosophy of probability sees the relation of evidence to hypothesis, such as in science and law, as purely logical, hence necessary.Across ethics and the philosophy of religion, the theme of necessity is repeated: basic ethical truths (such as the worth of persons and the wrongness of murder) are shown to have the same certainty as mathematics. Focus on the history of ideas connects the philosophical work in the present with the medieval scholastic tradition, which defended similar necessities but is now neglected.Here is an up-to-date introduction to Franklin's overall perspective. Recalling Western philosophy to its roots, it reveals the way absolute necessities are discoverable across the abstract fields of mathematics, logical evidence and ethics. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
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    55 分
  • Andrew H. Jaffe, "The Random Universe: How Models and Probability Help Us Make Sense of the Cosmos" (Yale UP, 2025)

    Andrew H. Jaffe, "The Random Universe: How Models and Probability Help Us Make Sense of the Cosmos" (Yale UP, 2025)
    2025/11/25
    An award-winning astrophysicist looks at how the understanding of uncertainty and randomness has led to breakthroughs in our knowledge of the cosmos All of us understand the world around us by constructing models, comparing them to observations, and drawing conclusions. Scientists create, test, and replace these models by applying the twinned concepts of probability and randomness. Exploring how this process has refined our knowledge of quantum mechanics and the birth of the universe, In The Random Universe: How Models and Probability Help Us Make Sense of the Cosmos (Yale UP, 2025) Andrew H. Jaffe offers a unique synthesis of the philosophy of epistemology, the mathematics of probability, and the science of cosmology. As Jaffe puts Enlightenment thinkers like David Hume in conversation with contemporary philosophers such as Karl Popper and Imre Lakatos and engages with scientists ranging from Isaac Newton and Galileo to Albert Einstein and Arthur Eddington, he uses Thomas Bayes's seminal studies of statistics and probability to make sense of conflicting currents of thought. This is a deep look into how we have learned to account for uncertainty in our search for knowledge--and a reminder that science is not about facts and data as such but about creating models that correctly account for those facts and data. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
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    1 時間 29 分
  • Thomas Morel, "Underground Mathematics: Craft Culture and Knowledge Production in Early Modern Europe" (Cambridge UP, 2022)

    Thomas Morel, "Underground Mathematics: Craft Culture and Knowledge Production in Early Modern Europe" (Cambridge UP, 2022)
    2025/11/21
    Thomas Morel joins Jana Byars to tell the story of subterranean geometry, a forgotten discipline that developed in the silver mines of early modern Europe, talking about his book Underground Mathematics: Craft Culture and Knowledge Production in Early Modern Europe (Cambridge UP, 2022). Mining and metallurgy were of great significance to the rulers of early modern Europe, required for the silver bullion that fuelled warfare and numerous other uses. Through seven lively case studies, he illustrates how geometry was used in metallic mines by practitioners using esoteric manuscripts. He describes how an original culture of accuracy and measurement paved the way for technical and scientific innovations, and fruitfully brought together the world of artisans, scholars and courts. Based on a variety of original manuscripts, maps and archive material, Morel recounts how knowledge was crafted and circulated among practitioners in the Holy Roman Empire and beyond. Specific chapters deal with the material culture of surveying, map-making, expertise and the political uses of quantification. By carefully reconstructing the religious, economic and cultural context of mining cities, Underground Mathematics contextualizes the rise of numbered information, practical mathematics and quantification in the early modern period. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
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    46 分
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