Mathematicism
Mathematicism is any opinion, viewpoint, school of thought, or philosophy that states that everything can be described/defined/modelled ultimately by mathematics: that reality/universe is fundamentally/fully/only mathematical ideas & substance, i.e. that 'everything is mathematics' ideal/mental/spiritual containing atomic/material/physical).
Overview
Mathematicism is a form of intuitionist-rationalist idealist/mentalist/spiritualist monism.[citation needed] Mathematicism started in the West with ancient Greece's Pythagoreanism,[citation needed] which led into in other intuitionist-rationalist idealist schools of thought such as Platonism[citation needed] and was revived in various German Idealism.[1] 'Mathematicism' has additional meanings among Cartesian idealist philosophers and mathematicians, such as describing the ability and process to study reality mathematically.[2][3]
Mathematicism includes (but is not limited to) the following (chronological order).
- Pythagoreanism (Pythagoras theorized the original mathematical universe hypothesis (MUH:.) 'All is number. Number rules the universe,'[citation needed] 'There is geometry in the humming of the strings. There is music in the spacing of the spheres.'[citation needed])
- Platonism (paraphrases Pythagoras' mathematicism.)[citation needed]
- Neopythagoreanism[citation needed]
- Neoplatonism (brought Peripatetic/Aristotelean mathematical logic to Platonism.)[citation needed]
- Cartesianism (René Descartes applied mathematical reasoning to philosophy.)[3]
- Leibnizianism (Dr. Gottfried Leibniz was a philosopher-scientist-mathematician.)[citation needed]
- Philosophy of Alain Badiou, MA.[citation needed]
- Physicist Dr. Max Tegmark's MUH described as Pythagoreanism–Platonism[citation needed]
- Mike Hockney's & Jack Tanner's & Dr. Thomas Stark's & Dr. Cody Newman's MUH of Neopythagorean-Neoplatonist-Leibnizian universal minds/monads/points having waves defined by Euler's Formula (philosophical/metaphysical/ontological mathematics.)[4]
- Dr. Tim Maudlin's philosophical mathematics MUH aiming at constructing 'a rigorous mathematical structure using primitive terms that give a natural fit with physics' and investigating 'why mathematics should provide such a powerful language for describing the physical world.'[5] According to Maudlin, 'the most satisfying possible answer to such a question is: because the physical world literally has a mathematical structure'.
- Jane McDonnell's The Pythagorean World: Why Mathematics Is Unreasonably Effective In Physics[6]
- Morgue's Ontological Mathematics: The Science of the Future. 2019.
- Sam Baron's Mathematical Explanation: A Pythagorean Proposal[7]
See also
References
- ^ Gabriel, Markus. 'Limits of Set-Theoretical Ontology and Contemporary Nihilism.' Fields of Sense: A New Realist Ontology. Edinburgh: Edinburgh University Press, 2015.
- ^ Sasaki, Chikara, Descartes’s Mathematical Thought, Springer Publishing, 2013, p. 283.
- ^ a b Gilson, Étienne. The Unity of Philosophical Experience. San Francisco, California: Ignatius Press, 1999, p. 133.
- ^ Hockney, Mike. The God Series. Hyperreality Books, 2012-2015, 32 vols. Vols. 1-8, 24.
- ^ Maudlin, Tim. New Foundations for Physical Geometry: The Theory of Linear Structures. Oxford: Oxford University Press, 2014. ISBN 978-0-19-870130-9.
- ^ McDonnell, Jane. The Pythagorean World: Why Mathematics Is Unreasonably Effective In Physics. Palgrave Macmillan Cham. 2017.
- ^ Baron, Sam. 'The British Journal for the Philosophy of Science.' 23 June, 2021.
External links
- "mathematicism". Britannica.
- "mathematicism". Collins Dictionary.
- "mathematicism". Oxford Living Dictionary.
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