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Books > Humanities > Philosophy > Topics in philosophy > Metaphysics & ontology
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Matter Matters - Metaphysics and Methodology in the Early Modern Period (Hardcover)
Loot Price: R2,489
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Matter Matters - Metaphysics and Methodology in the Early Modern Period (Hardcover)
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Why is there a material world? Why is it fundamentally
mathematical? Matter Matters explores a seventeenth-century answer
to these questions as it emerged from the works of Descartes and
Leibniz. The "mathematization" of the physics is shown to have been
conceptually underwritten by two methods of philosophizing, namely,
analysis and synthesis. The connection between these
things--mathematics, matter, and the methods of analysis and
synthesis--has thus far gone unexplored by scholars. The book is in
four Parts: Part I works out the context in which the theory of
modern matter arose. Part II develops the method of analysis,
showing how it aligns with Descartes's famous doctrine of clear and
distinct ideas. Part III develops the method of synthesis, focusing
primarily on Leibniz, showing how it establishes the very
conditions necessary and sufficient for mathematics. Analysis and
synthesis turn out to establish isomorphic conceptual systems,
which turn out to be isomorphic to what mathematicians today call a
group. The group concept expresses the conditions underwriting all
of mathematics. Part IV examines several relatively new
interpretations of Descartes--the realist and idealist
readings--which appear to be at odds with one another. The
examination shows the sense in which these readings are actually
compatible, and together reveal a richer picture of Descartes's
position on the reality of matter. Ultimately, Matter Matters
establishes the claim that mathematics is intelligible if, and only
if, matter exists.
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