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" to conceive of the Infinite quantitatively is not only to limit it, but in addition it
is to conceive of it as subject to increase and decrease, which is no less absurd; with similar considerations one quickly finds oneself envisaging not only several infinites that coexist without confounding or excluding one another, but also infinites that are larger or smaller than others; and finally, the infinite having become so relative under these conditions that it no longer suffices, the ‘transfinite’ is invented, that is, the domain of quantities greater than the infinite. Here, indeed, it is properly a matter of ‘invention, for such conceptions correspond to no reality. So many words, so many absurdities, even regarding simple, elementary logic, yet this does not prevent one from finding among those responsible some who even claim to be ‘specialists’ in logic, so great is the intellectual confusion of our times! "

René Guénon , The Metaphysical Principles of the Infinitesimal Calculus


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René Guénon quote : to conceive of the Infinite quantitatively is not only to limit it, but in addition it <br />is to conceive of it as subject to increase and decrease, which is no less absurd; with similar considerations one quickly finds oneself envisaging not only several infinites that coexist without confounding or excluding one another, but also infinites that are larger or smaller than others; and finally, the infinite having become so relative under these conditions that it no longer suffices, the ‘transfinite’ is invented, that is, the domain of quantities greater than the infinite. Here, indeed, it is properly a matter of ‘invention, for such conceptions correspond to no reality. So many words, so many absurdities, even regarding simple, elementary logic, yet this does not prevent one from finding among those responsible some who even claim to be ‘specialists’ in logic, so great is the intellectual confusion of our times!