Mathematicism: Difference between revisions
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==Overview== |
==Overview== |
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Mathematicism is loosely defined as any [[opinion]], [[Point of view (philosophy.)|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 [[Theory_of_forms#Ideal_state|idea]] & [[Substance_theory|substance]], mathematical. That is to say that "everything is mathematics". |
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Mathematicism is a form of [[intuitionist]]-[[rationalist]] [[idealist]]/[[mentalism (philosophy.)|mentalist]]/[[spiritualism (philosophy.)|spiritualist]] [[monism]].{{cn|date=August 2022}} Mathematicism started in [[Western civilization|the West]] with [[ancient Greece]]'s [[Pythagoreanism]],{{cn|date=August 2022}} which led into in other intuitionist-rationalist idealist schools of thought such as [[Platonism]]{{cn|date=August 2022}} and was revived in various [[German Idealism]].<ref>[[Markus Gabriel|Gabriel, Markus]]. 'Limits of Set-Theoretical Ontology and Contemporary Nihilism.' ''Fields of Sense: A New Realist Ontology''. Edinburgh: Edinburgh University Press, 2015.</ref> 'Mathematicism' has additional meanings among Cartesian idealist philosophers and mathematicians, such as describing the ability and process to study reality mathematically.<ref>Sasaki, Chikara, ''[https://books.google.com/books?id=H1H1CAAAQBAJ&printsec=frontcover#v=onepage&q=mathematicism&f=false Descartes’s Mathematical Thought]'', Springer Publishing, 2013, p. 283.</ref><ref name=Gilson>[[Étienne Gilson|Gilson, Étienne]]. ''[[The Unity of Philosophical Experience]].'' San Francisco, California: Ignatius Press, 1999, p. 133.</ref> |
Mathematicism is a form of [[intuitionist]]-[[rationalist]] [[idealist]]/[[mentalism (philosophy.)|mentalist]]/[[spiritualism (philosophy.)|spiritualist]] [[monism]].{{cn|date=August 2022}} Mathematicism started in [[Western civilization|the West]] with [[ancient Greece]]'s [[Pythagoreanism]],{{cn|date=August 2022}} which led into in other intuitionist-rationalist idealist schools of thought such as [[Platonism]]{{cn|date=August 2022}} and was revived in various [[German Idealism]].<ref>[[Markus Gabriel|Gabriel, Markus]]. 'Limits of Set-Theoretical Ontology and Contemporary Nihilism.' ''Fields of Sense: A New Realist Ontology''. Edinburgh: Edinburgh University Press, 2015.</ref> 'Mathematicism' has additional meanings among Cartesian idealist philosophers and mathematicians, such as describing the ability and process to study reality mathematically.<ref>Sasaki, Chikara, ''[https://books.google.com/books?id=H1H1CAAAQBAJ&printsec=frontcover#v=onepage&q=mathematicism&f=false Descartes’s Mathematical Thought]'', Springer Publishing, 2013, p. 283.</ref><ref name=Gilson>[[Étienne Gilson|Gilson, Étienne]]. ''[[The Unity of Philosophical Experience]].'' San Francisco, California: Ignatius Press, 1999, p. 133.</ref> |
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Revision as of 16:15, 11 August 2022
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".
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]
See also
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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