wildmandrake , to ai
@wildmandrake@mastodon.social avatar

A detailed breakdown of how chatgpt works including the . In case these system scare you know how they work and, importantly, their limitations so you know they are a long way away from the "" take over.


@philosophy
Explained Completely. https://youtube.com/watch?v=-4Oso9-9KTQ&si=BbwIxHKkcV94b1Gh

bibliolater , to ai
@bibliolater@qoto.org avatar

"Notably, we demonstrated through AlphaGeometry a neuro-symbolic approach for theorem proving by means of large-scale exploration from scratch, sidestepping the need for human-annotated proof examples and human-curated problem statements."

Trinh, T.H., Wu, Y., Le, Q.V. et al. Solving olympiad geometry without human demonstrations. Nature 625, 476–482 (2024). https://doi.org/10.1038/s41586-023-06747-5 @science

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  • bibliolater , to science
    @bibliolater@qoto.org avatar

    "This interdisciplinary study at the intersection of biology and mathematics involves numerous real experiments to demonstrate the capability of the proposed method in detecting biologically relevant information and its reliable signals while avoiding false positives. The outcome provides a coherent theoretical framework for analyzing biological networks." https://www.mpg.de/21284358/a-new-mathematical-language-for-biological-networks @science @biology

    bibliolater , to science
    @bibliolater@qoto.org avatar

    "This interdisciplinary study at the intersection of biology and mathematics involves numerous real experiments to demonstrate the capability of the proposed method in detecting biologically relevant information and its reliable signals while avoiding false positives. The outcome provides a coherent theoretical framework for analyzing biological networks."
    https://www.mpg.de/21284358/a-new-mathematical-language-for-biological-networks
    @science

    appassionato , to bookstodon
    @appassionato@mastodon.social avatar

    Game Changers: Stories of the Revolutionary Minds behind Game Theory

    In this lively history of game theory, a gifted math educator and science writer explains for lay readers the uses and value of this innovative yet easy-to-understand approach to mathematical modeling. Essentially, game theory interprets life as a game with mathematical rules. By following the rules, decisions can be calculated that result in the greatest benefit for all participants.

    @bookstodon

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  • bibliolater , to science
    @bibliolater@qoto.org avatar

    "This paper discusses the archive and library of the Royal Dutch Mathematical Society, as a starting point for research into the history of Dutch mathematics."

    Danny J. Beckers, History of Mathematics in the Netherlands: where to find it. EMS Newsl. 107 (2018), pp. 23–27. DOI: https://doi.org/10.4171/news/107/5 @science

    bibliolater , to ai
    @bibliolater@qoto.org avatar

    "From insight into our human ancestry and breakthroughs on the moon to a flourishing of AI and terrifying new developments in the climate, it was a year of scientific drama" https://www.theguardian.com/science/2023/dec/23/the-10-biggest-science-stories-of-2023-chosen-by-scientists @science

    bibliolater , to philosophy
    @bibliolater@qoto.org avatar

    "In his Remarks on the Foundations of Mathematics, Wittgenstein claims, puzzlingly, that ‘the proof creates a new concept’ (RFM III-41). This paper aims to contribute to clarifying this idea, and to showing how it marks a major break with the traditional conception of proof."

    Sorin Bangu, Wittgenstein on Proof and Concept-Formation, The Philosophical Quarterly, 2023;, pqad111, https://doi.org/10.1093/pq/pqad111 @philosophy

    appassionato , to bookstodon
    @appassionato@mastodon.social avatar

    Why Does Math Work ... If It's Not Real?

    A series of fascinating, and often humorous, stories that seek to explore why ancient mathematics is applicable to modern technology.

    @bookstodon


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  • bibliolater , to science
    @bibliolater@qoto.org avatar

    : Nikolai Ivanovich Lobachevsky.

    "Nikolai Lobachevsky published his work on non-Euclidean geometry, the first account of the subject to appear in print." https://mathshistory.st-andrews.ac.uk/Biographies/Lobachevsky/ @science

    bibliolater , to science
    @bibliolater@qoto.org avatar

    : Nikolai Ivanovich Lobachevsky.

    "Nikolai Lobachevsky published his work on non-Euclidean geometry, the first account of the subject to appear in print."

    https://mathshistory.st-andrews.ac.uk/Biographies/Lobachevsky/ @science

    appassionato , to bookstodon
    @appassionato@mastodon.social avatar

    The Secret Life of Numbers:
    50 Easy Pieces on How Mathematicians Work and Think

    The Secret Life of Numbers opens our eyes to the joys of mathematics, introducing us to the charming, often whimsical side, of the discipline.

    @bookstodon


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  • bibliolater , to science
    @bibliolater@qoto.org avatar

    "Abraham de Moivre (born May 26, 1667, Vitry, Fr.—died Nov. 27, 1754, London) French mathematician who was a pioneer in the development of analytic trigonometry and in the theory of probability"

    Britannica, The Editors of Encyclopaedia. "Abraham de Moivre". Encyclopedia Britannica, 23 Nov. 2023, https://www.britannica.com/biography/Abraham-de-Moivre. Accessed 27 November 2023. @science

    appassionato , to bookstodon
    @appassionato@mastodon.social avatar

    The Primacy of Doubt: From Quantum Physics to Climate Change, How the Science of Uncertainty Can Help Us Understand Our Chaotic World

    “Quite possibly the best popular science book I’ve ever read” (Brian Clegg) shows how the tools that enabled us to overcome the uncertainty of the weather will enable us to find new answers to modern science's most pressing questions.

    @bookstodon




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  • appassionato , to bookstodon
    @appassionato@mastodon.social avatar

    Alex's Adventures in Numberland

    In this richly entertaining and accessible book, Alex Bellos explodes the myth that maths is best left to the geeks. Covering subjects from adding to algebra, from set theory to statistics, and from logarithms to logical paradoxes, he explains how mathematical ideas underpin just
    about everything in our lives.

    @bookstodon


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  • bibliolater , to science
    @bibliolater@qoto.org avatar

    How One Line in the Oldest Math Text Hinted at Hidden Universes https://youtu.be/lFlu60qs7_4 @science

    bibliolater , to earlymodern
    @bibliolater@qoto.org avatar

    Becchi, Antonio, Meli, Domenico Bertoloni and Gamba, Enrico (eds.) (2013). Guidobaldo del Monte (1545–1607): Theory and Practice of the Mathematical Disciplines from Urbino to Europe. Berlin: Max-Planck-Gesellschaft zur Förderung der Wissenschaften. DOI: https://doi.org/10.34663/9783945561218-00 @science @earlymodern

    bibliolater , to science
    @bibliolater@qoto.org avatar

    Coates, T., Kasprzyk, A.M. & Veneziale, S. Machine learning the dimension of a Fano variety. Nat Commun 14, 5526 (2023). https://doi.org/10.1038/s41467-023-41157-1 @science

    bibliolater , to science
    @bibliolater@qoto.org avatar

    Coates, T., Kasprzyk, A.M. & Veneziale, S. Machine learning the dimension of a Fano variety. Nat Commun 14, 5526 (2023). https://doi.org/10.1038/s41467-023-41157-1 @science

    bibliolater , to science
    @bibliolater@qoto.org avatar

    "Liquid can levitate and boats can float upside down in this gravity-defying physics experiment." https://youtu.be/bodsuTucSxQ @science

    bibliolater , to science
    @bibliolater@qoto.org avatar

    Dominic J. Skinner et al., Topological packing statistics of living and nonliving matter. Sci. Adv. 9, eadg1261 (2023). DOI: https://doi.org/10.1126/sciadv.adg1261 @science

    bibliolater , to science
    @bibliolater@qoto.org avatar

    "Thanks to a complex mathematical algorithm, these plastic shapes follow a very specific route as they roll. In fact, researchers have shown that a shape can be designed to follow almost any path you can think of." https://youtu.be/2lW9HznqsVY @science

    bibliolater , to science
    @bibliolater@qoto.org avatar

    From better bridges to more efficient cars: how pocket calculators changed the world https://doi.org/10.1038/d41586-023-02601-w @science @bookstodon

    bibliolater , to science
    @bibliolater@qoto.org avatar

    Angela Axworthy. "The Hybridization of Practical and Theoretical Geometry in the Sixteenth-Century Euclidean Tradition." (2023) V.11 N.22 (2022): Hybridization in the History of Ideas; Geoanthropology. DOI: https://doi.org/10.13135/2280-8574/7333 @histodon @histodons @science

    bibliolater , to random
    @bibliolater@qoto.org avatar

    🧵 : this the first in a series of that will eventually be stitched together into a related to 📚 and 📘. (1)

    bibliolater OP ,
    @bibliolater@qoto.org avatar

    "After introducing plural logic and its main applications, the book provides a systematic analysis of the relation between this logic and other theoretical frameworks such as set theory, mereology, higher-order logic, and modal logic."

    Florio, Salvatore, and Øystein Linnebo, The Many and the One: A Philosophical Study of Plural Logic (Oxford, 2021; online edn, Oxford Academic, 23 Sept. 2021), https://doi.org/10.1093/oso/9780198791522.001.0001, accessed 4 Dec. 2023. @philosophy @bookstodon (67)

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