Mathematicism

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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[edit]

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):

Notes[edit]

  1. ^ Gabriel, Markus. Fields of Sense: A New Realist Ontology. Edinburgh: Edinburgh Univ. Press, 2015, ch. 4. Limits of Set-Theoretical Ontology and Contemporary Nihilism.
  2. ^ Sasaki, Chikara, Descartes’s Mathematical Thought, Springer, 2013, p. 283.
  3. ^ a b Gilson, Étienne. The Unity of Philosophical Experience. San Francisco, CA: Ignatius Press, 1999, p. 133.
  4. ^ a b Maudlin, Tim. New Foundations for Physical Geometry: The Theory of Linear Structures. Oxford University Press. 2014, p. 52.

References[edit]