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    If such a stretch exists, then e cannot be equated to 0. — Carmelics
    Home/Modality & Possibility
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    Supports→If curves are infinilateral polygons, then the lengths of the sides of those polygons must be nilsquare infinitesimals.

    If such a stretch exists, then e cannot be equated to 0.

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    Modality & PossibilityTruth & Knowledge

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    A quantity that is not zero but whose square is zero is a nilsquare infinitesima...If curves are infinilateral polygons, then the lengths of the sides of those pol...Leibniz grants that there is an infinitesimal straight stretch of the curve (a s...The argument shows that e² = 0 given the assumption of an infinitesimal straight...

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    The argument shows that e² = 0 given the assumption of an infinitesima...83%Leibniz grants that there is an infinitesimal straight stretch of the ...73%Therefore, there is no possible world closer to the actual world that ...71%By the Lemma Concerning Zero, 0 equals the number of Q implies there i...70%

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    Now Leibniz could retort that that this argument depends crucially on the assumption that the portion of the curve between abscissae 0 and \(\Dx\) is indeed straight. If this be denied, then of course it does not follow that \(\Dx ^2 = 0\). But if one grants, as Leibniz does, that that there is an infinitesimal straight stretch of the curve (a side, that is, of an infinilateral polygon coinciding with the curve) between abscissae 0 and \(e\), say, which does not reduce to a single point then \(e

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