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Updated: May 23, 2025
It led to what I may call the quantification of the gods, that is, to conceiving divinity under notions of number or quantity, a step which has led to profound deterioration of the religious sentiment. I do not mean by this the distinction between polytheism and monotheism.
The doctrine of the Quantification of the Predicate. Both these novelties are here criticised by Mr Mill in chapter xxii., which we recommend the reader to peruse conjointly with Lectures 15 and 16 of Sir W. Hamilton on Logic.
In logic, Hamilton was a great and justly honoured defender of the formal view of the science which had been in persistent disrepute during the eighteenth century; but some of the warmest lovers of logic doubt whether his technical inventions or discoveries, such as the famous Quantification of the Predicate, are more than "pretty" in the sense of mathematicians and wine-merchants.
The long story of religious effort is not from fetichism to monotheism, as Comte read it; nor is its only possible goal inside the limits of the ego, as Feuerbach and the other Neo-Hegelians assert; but it is on its theoretical side to develope with greater and greater distinctness the immeasurable reality of pure thought, to dispense more and more with the quantification of the absolute, and to avoid in the representation of that Being the use of the technic of concrete existence.
When I do this, I perceive that this operation introduces no new fact, but is only a different mode of contemplating the very fact which I had previously expressed by the words, all oxen ruminate. The fact is the same, but the mode of contemplating it is different. The like may also be said about his other innovation, the Quantification of the Predicate.
The metaphysical subtleties, with which Hamilton often filled his sheets, did not seem to have the same attraction for De Morgan that he found in battles about the quantification of the Predicate.
There is a certain shade of unconcern, the perfect manner of the eighteenth century, which may be thought to mark complete culture in the handling of abstract questions. The humanist, the possessor of that complete culture, does not "weep" over the failure of "a theory of the quantification of the predicate," nor "shriek" over the fall of a philosophical formula.
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