Mathematicism
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'.
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(s) rule(s) all')
- Platonism (paraphrases Pythagoras's mathematicism)
- Neopythagoreanism
- Neoplatonism (brought Aristotelean mathematical logic to Platonism)
- Cartesianism (René Descartes applied mathematical reasoning to philosophy)[3]
- Leibnizianism (Dr. Gottfried Leibniz was a mathematician)
- the philosophy of Alain Badiou
- Physicist Dr. Max Tegmark's mathematical universe hypothesis (MUH) described as Pythagoreanism–Platonism
- 'Philosophical mathematics' systems described by several authors, such as Tim Maudlin's 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.’)
- Morgue's Ontological Mathematics: The Science of the Future (2019).
See also
- Physics envy, a symptom of mathematicism
- Modern Platonism
- Pancomputationalism
- Digital Physics
References
- 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.
- Gilson, Étienne. The Unity of Philosophical Experience. San Francisco, CA: Ignatius Press, 1999, p. 133.
- 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.
External links
- "mathematicism". Britannica.
- "mathematicism". Collins Dictionary.
- "mathematicism". Oxford Living Dictionary.