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    The argument shows that e² = 0 given the assumption of an... — Carmelics
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    Supports→If curves are infinilateral polygons, then the lengths of the sides of those polygons must be nilsquare infinitesimals.

    The argument shows that e² = 0 given the assumption of an infinitesimal straight stretch.

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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...If such a stretch exists, then e cannot be equated to 0.Leibniz grants that there is an infinitesimal straight stretch of the curve (a s...

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    If such a stretch exists, then e cannot be equated to 0.83%Leibniz grants that there is an infinitesimal straight stretch of the ...79%Leibniz's argument that Δx² = 0 depends crucially on the assumption th...79%Denying the straightness assumption undermines the derivation of Δx² =...78%

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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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