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    Constructability in the classical geometric sense is the ... — Carmelics
    Home/Modality & Possibility
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    Supports→Each branch of knowledge must be reducible to geometry to count as knowledge in the strong sense

    Constructability in the classical geometric sense is the criterion for legitimate knowledge

    Modality & PossibilityTruth & Knowledge
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    Modality & PossibilityTruth & Knowledge

    Key Terms

    knowledge(Distinguished from mere true belief, which may be the product of indoctrination and need not exercise deliberative capacities.)
    Justified true belief — true belief that has been arrived at through the exercise of deliberative capacities, including comparison of and deliberation among alternatives.

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    Each branch of knowledge must be reducible to geometry to count as knowledge in ...Only what can be grounded in geometric principles meets the standard of rigorous...

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    Each branch of knowledge must be reducible to geometry to count as kno...80%Only what can be grounded in geometric principles meets the standard o...79%Sensitive knowledge of corresponding objects can never achieve the sam...78%Euclidean geometry possesses certainty and necessity77%

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    SEP: kepler
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    While in philosophical questions related to mathematics, Proclus and Plato were Kepler’s most important inspirational sources, he did not always see Plato and Aristotle as completely opposed, for the latter—in Kepler’s interpretation—also accepted “a certain existence of the mathematical entities” (KGW 14, let. N° 226, p. 265; see Peters, p. 130). To a great extent Kepler understood his mathematical investigations of HM as a continuation of Euclid’s Elements, especially of the analysis of irrati

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