An infinite sequence, for example, is not a gigantic extension because it is not an extension, and ‘\(\aleph_0\)’ is not a cardinal number, for “how is this picture connected with the calculus”, given that “its connexion is not that of the picture | | | | with 4” (i.e., given that ‘\(\aleph_0\)’ is not connected to a (finite) extension)? This shows, says Wittgenstein (RFM II, §58), that we ought to avoid the word ‘infinite’ in mathematics wherever it seems to give a meaning to the calculus, rath