Mathematicism: Difference between revisions
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* [[Cartesianism]] ([[René Descartes]] applied mathematical reasoning to philosophy)<ref name=Gilson /> |
* [[Cartesianism]] ([[René Descartes]] applied mathematical reasoning to philosophy)<ref name=Gilson /> |
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* [[Leibnizianism]] ([[Gottfried Leibniz]] was a [[mathematician]], called beings '[[monad (philosophy)|monad]]s,' which also means 'units') |
* [[Leibnizianism]] ([[Gottfried Leibniz]] was a [[mathematician]], called beings '[[monad (philosophy)|monad]]s,' which also means 'units') |
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* [[Alain Badiou]]'s philosophy |
* [[Alain Badiou]], MA's philosophy |
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* [[Physicist]] [[Max Tegmark]]'s [[mathematical universe hypothesis]] (MUH) described as Pythagoreanism–Platonism |
* [[Physicist]] [[Max Tegmark]]'s [[mathematical universe hypothesis]] (MUH) described as Pythagoreanism–Platonism |
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* 'philosophical mathematics' systems described by several authors, such as [[Tim Maudlin]]'s project of a project 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.'<ref name=Maudlin>Maudlin, Tim. ''[https://books.google.com/books?id=10XbAgAAQBAJ&printsec=frontcover#v=onepage&q=%22philosophical%20mathematics%22&f=false New Foundations for Physical Geometry: The Theory of Linear Structures]''. Oxford University Press. 2014, p. 52.</ref> According to Maudlin, 'the most satisfying possible answer to such a question is: Because the physical world literally has a mathematical structure.'<ref name=Maudlin/> |
* 'philosophical mathematics' systems described by several authors, such as [[Tim Maudlin]]'s project of a project 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.'<ref name=Maudlin>Maudlin, Tim. ''[https://books.google.com/books?id=10XbAgAAQBAJ&printsec=frontcover#v=onepage&q=%22philosophical%20mathematics%22&f=false New Foundations for Physical Geometry: The Theory of Linear Structures]''. Oxford University Press. 2014, p. 52.</ref> According to Maudlin, 'the most satisfying possible answer to such a question is: Because the physical world literally has a mathematical structure.'<ref name=Maudlin/> |
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Revision as of 11:02, 28 July 2019
Mathematicism is any opinion, viewpoint, school of thought, or philosophy that states that everything can be described/defined/modelled ultimately by mathematics, or that the universe and reality (both material and mental/spiritual) are fundamentally/fully/only mathematical, i.e. that 'everything is mathematics' necessitating the ideas of logic, reason, mind, and spirit.
Overview
Mathematicism is a form of rationalist idealist or mentalist/spiritualist monism). The idea started in the West with ancient Greece's Pythagoreanism, and continued in other rationalist idealist schools of thought such as Platonism.[1] The term '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 said 'All things are numbers,' 'Number rules all,' though contemporary mathematicists exclude numerology, etc., from mathematicism)
- Platonism (paraphrases Pythagoras's mathematicism)
- Neopythagoreanism
- Neoplatonism (brought Aristotelean mathematical logic to Platonism)
- Cartesianism (René Descartes applied mathematical reasoning to philosophy)[3]
- Leibnizianism (Gottfried Leibniz was a mathematician, called beings 'monads,' which also means 'units')
- Alain Badiou, MA's philosophy
- Physicist Max Tegmark's mathematical universe hypothesis (MUH) described as Pythagoreanism–Platonism
- 'philosophical mathematics' systems described by several authors, such as Tim Maudlin's project of a project 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.'[4] According to Maudlin, 'the most satisfying possible answer to such a question is: Because the physical world literally has a mathematical structure.'[4]
- Mike Hockney's & Dr. Thomas Stark's Neopythagorean-Neoplatonist-Leibnizian mathematical reality theory (philosophical/ontological mathematics)[5] (several authors use the term ‘ontological mathematics.’)
- Neven Knezevic's Eidomorphism, based on Hockney & Stark.
See also
Notes
- ^ Gabriel, Markus. Fields of Sense: A New Realist Ontology. Edinburgh: Edinburgh Univ. Press, 2015, ch. 4. Limits of Set-Theoretical Ontology and Contemporary Nihilism.
- ^ Sasaki, Chikara, Descartes’s Mathematical Thought, Springer, 2013, p. 283.
- ^ a b Gilson, Étienne. The Unity of Philosophical Experience. San Francisco, CA: Ignatius Press, 1999, p. 133.
- ^ a b Maudlin, Tim. New Foundations for Physical Geometry: The Theory of Linear Structures. Oxford University Press. 2014, p. 52.
- ^ Hockney, Mike. The God Series. Hyperreality Books, 2015. 32 vols.
References
- "mathematicism". Britannica.
- "mathematicism". Collins Dictionary.
- "mathematicism". Oxford Living Dictionary.
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