raindrops_and_roses , to bookstodon
@raindrops_and_roses@mastodon.social avatar

Can mathematics predict love?

"Love is full of patterns. And mathematics is the study of patterns."

Wonderful TEDx talk by Hannah Fry and book:

The Mathematics of Love: Patterns, Proofs, and the Search for the Ultimate Equation
https://www.ted.com/read/ted-books/ted-books-library/the-mathematics-of-love

Summary @mariapopova: https://www.themarginalian.org/2015/02/18/hannah-fry-the-mathematics-of-love/

@bookstodon

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  • 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

    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

    18+ androcat , to philosophy
    @androcat@toot.cat avatar

    Wigner's claim is a clear-cut case of survivor bias:
    Of all the possible mathematical claims a vanishingly small number can be adapted to physics (in itself unsurprising, considering that's what we have developed it for).

    His claim is popular because a large number of people want the world to be orderly, despite evidence to the contrary, not because it is in any way correct.

    For it to be "unreasonable" one would expect physicists to be able to forego empiricism, and just roll out physics from mathematical first principles.

    THAT would be "unreasonable effectiveness".

    But of the severally several infinities of possible math statements, a non-contiguous spattering of statements find some use in physics - to describe patterns that are found empirically.

    That is not impressive in the least.

    @philosophy

    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

    appassionato , to bookstodon
    @appassionato@mastodon.social avatar

    The Best of All Possible Worlds: Mathematics and Destiny

    Optimists believe this is the best of all possible worlds. And pessimists fear that might really be the case. But what is the best of all possible worlds? How do we define it? Is it the world that operates the most efficiently? Or the one in which most people are comfortable and content?

    @bookstodon





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  • bibliolater , to philosophy
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    "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

    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

    gutenberg_org , to random
    @gutenberg_org@mastodon.social avatar

    Russian mathematician and geometer Nikolai Lobachevsky was born in 1792.

    He is known primarily for his work on hyperbolic geometry, otherwise known as Lobachevskian geometry, and also for his fundamental study on Dirichlet integrals, known as the Lobachevsky integral formula.

    Another of his achievements was developing a method for the approximation of the roots of algebraic equations (Lobachevsky method). via @wikipedia

    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

    Prime Numbers: The Most Mysterious Figures in Math

    A fascinating journey into the mind-bending world of prime numbers.

    Mathematicians have been asking questions about prime numbers for more than twenty-five centuries, and every answer seems to generate a new rash of questions.

    @bookstodon




    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

    zenartcenter , to buddhism
    @zenartcenter@universeodon.com avatar
    zenartcenter , to buddhism
    @zenartcenter@universeodon.com avatar
    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 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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