Charles Sanders PeirceEvery number whose expression in decimals requires but a finite number of places of decimals is commensurable. Therefore, incommensurable numbers suppose an infinitieth place of decimals.
1979, William Lane Craig, The KalÄm Cosmological Argument (page 183)Watling's suggestion is of no help at all in explaining how to form an actual infinite by successive addition. To do so would necessitate adding an 'infinitieth' element, which is absurd.
