Infinite regress

Definition and stakes

Portrait of A. E. Taylor A. E. Taylor,  Elements of metaphysics (1903)

“ In short, whether the succession of events be taken as continuous or not, the attempt to translate the axiom that 180whatever happens has its ground in the nature of the whole system to which it belongs, into the doctrine that the posterior in time is completely determined by and dependent on the prior, leads straight to the infinite regress. And, as we said in our last chapter, the occurrence of the infinite regress is always a sign that there is imperfection somewhere in the thought which sets it up. ”
Source: Gutenberg

Portrait of Eleanor F. Jourdain Eleanor F. Jourdain,  On the theory of the infinite in modern thought

“ The sphere of change, however, one would answer, includes all nature, and science in its discoveries acts on the hypothesis that these steps of change may be infinitely divisible. Royce held to it firmly that any consistent attempt to make an orderly arrangement of the terms of an infinite whole must lead to the Indefinite Regress. And he further shows the connection with the fact that an infinite series can be adequately represented by a part of itself. ”
Source: Gutenberg

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