Mathematicism: Difference between revisions
New and simpler lead that just refers to the major definitions and better summarises main. Preserved existing text by moving to overview (with some clarifying changes). Also quotations per MOS:DOUBLE |
→Overview: Bolding not required here |
||
Line 2: | Line 2: | ||
==Overview== |
==Overview== |
||
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". |
|||
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> |
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.