1887 Mind  
NEW BOOKS. 469 76) the position is taken up that in each case one of the opposed positions of Hamilton's (and of Kant's) antinomies with respect to the infinite of space and time, is really self-contradictory, and the other adequately conceivable ; and suggestion* of the true doctrine of the qualitative nature of the conception of the infinite are found in Kant, and stall more in Mill and Clifford. The short penultimate chapter (v., pp. 77-89) on " The Conceivable and the Existent" is intended
more » ... stent" is intended to make clearer what it is precisely that the author is trying to prove ; which is, not the existence but the conceivability of the infinite. The infinity of space, for example, may be conceivable, and yet it does not follow either that space is infinite or that we can know it to be infinite. All that has been done is to get rid of a preliminary objection to entertaining any question as to its infinity. The last chapter (" The Conceivability of the Infinite "), as readers of MIND will remember, aims at showing by quotations from leading representatives of modern Nominalism, that " the operation of conceiving an infinite line " by abstracting the idea of a possible endless progression, ia " in nature identical" with " the operation of forming a concept" as they describe it
doi:10.1093/mind/os-12.47.469-b fatcat:cqlhtpnrjfa43a5dlxg3brxtwm