Mathematicism

Mathematicism is defined as "the effort to employ the formal structure and rigorous method of mathematics as a model for the conduct of philosophy."^[1] or else, in philosophy, it is the epistemological view that reality is fundamentally mathematical, i.e. that everything is mathematics.^[2]

Overview

Mathematicism is loosely defined as any opinion, viewpoint, school of thought, or philosophy that states that everything can be described or defined or modelled ultimately by mathematics: that reality and the universe are fundamentally, in both idea & substance, mathematical. That is to say that "everything is mathematics"^{[citation needed]}.

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.^[3] 'Mathematicism' has additional meanings among Cartesian idealist philosophers and mathematicians, such as describing the ability and process to study reality mathematically.^[4]^[5]

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.)^[5]
Leibnizianism (Dr. Gottfried Leibniz was a philosopher-scientist-mathematician.)^{[citation needed]}
Philosophy of Alain Badiou, MA.^{[citation needed]}
Physicist Dr. Max Tegmark's mathematical universe hypothesis described as Pythagoreanism–Platonism^{[citation needed]}
Mike Hockney's & Jack Tanner's & Dr. Thomas Stark's & Dr. Cody Newman's mathematical universe hypothesis of universal minds/monads/points having waves defined by Euler's Formula (philosophical/metaphysical/ontological mathematics.)^[6]
Dr. Tim Maudlin's philosophical mathematics mathematical universe hypothesis aiming at constructing "a rigorous mathematical structure using primitive terms that give a natural fit with physics"^{[citation needed]} and investigating "why mathematics should provide such a powerful language for describing the physical world."^[7] 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^[8]
Morgue's Ontological Mathematics: The Science of the Future. 2019.
Sam Baron's Mathematical Explanation: A Pythagorean Proposal^[9]

References

^ "Mathematicism". Britannica Online. Encylopaedia Britannica. Retrieved 11 August 2022.
^ "Mathematicism". Oxford English Dictionary. Oxford University. Retrieved 11 August 2022.
^ 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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[1] "Mathematicism". Britannica Online. Encylopaedia Britannica. Retrieved 11 August 2022.

[2] "Mathematicism". Oxford English Dictionary. Oxford University. Retrieved 11 August 2022.

[3] Gabriel, Markus. 'Limits of Set-Theoretical Ontology and Contemporary Nihilism.' Fields of Sense: A New Realist Ontology. Edinburgh: Edinburgh University Press, 2015.

[4] Sasaki, Chikara, Descartes’s Mathematical Thought, Springer Publishing, 2013, p. 283.

[Gilson-5] Gilson, Étienne. The Unity of Philosophical Experience. San Francisco, California: Ignatius Press, 1999, p. 133.

[6] Hockney, Mike. The God Series. Hyperreality Books, 2012-2015, 32 vols. Vols. 1-8, 24.

[7] Maudlin, Tim. New Foundations for Physical Geometry: The Theory of Linear Structures. Oxford: Oxford University Press, 2014. ISBN 978-0-19-870130-9.

[8] McDonnell, Jane. The Pythagorean World: Why Mathematics Is Unreasonably Effective In Physics. Palgrave Macmillan Cham. 2017.

[9] Baron, Sam. 'The British Journal for the Philosophy of Science.' 23 June, 2021.

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Overview

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References

External links