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    Carmelics

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    Home/Original/inverse
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    Inverse View

    It is not the case that Lefèvre used mathematics to clarify and exemplify Aristotelian physical concepts rather than to make natural philosophy mathematical.

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    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Quantifying intensive qualities like heat on a mathematical scale structurally transforms them into measurable magnitudes, regardless of stated intent.
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    • 2.The Merton School calculators showed that applying proportional reasoning to qualities implicitly mathematizes natural philosophy, even within Aristotelian frameworks.
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    • 3.Lefèvre's adoption of latitude-of-forms vocabulary borrows tools whose internal logic subverts qualitative Aristotelian ontology from within.
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    Reason for 2 of 2
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    • 1.The distinction between 'using mathematics to clarify' and 'making natural philosophy mathematical' collapses when the mathematical structure determines the valid inferences.
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    • 2.Philosophers like Dear and Mahoney have argued that pedagogical mathematization in Renaissance Aristotelianism was a transitional form of genuine mathematization, not merely illustration.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.The qualities of heat and cold in his example are not reimagined as mathematical objects but remain within Aristotelian natural philosophy.
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    • 2.The point of the example is to defend Aristotle's account of contraries, not to undermine it.
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    • 3.Like his predecessors, Lefèvre applied mathematical reasoning in service of Aristotelian physics.
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