5) It is thus possible to see in the radical consequences of Cantor's thinking of infinite totalities
the specific limitation of Levinas' thought about the relationship figured in the title of his book Totality and Infinity (E.
Instead of the clear east-west orientation of the streamers that had always been present during my previous seven totalities
, a textbook-style solar-maximum corona now hung in the deep- blue sky, with streamers going in all directions
What collapses with these totalities, Grim believes, are the notions of possible worlds conceived as maximally consistent sets of propositions, the omniscience of God and the Tractatus view that "the world is all that is the case".
Whilst rejecting such infinite totalities the intuitionists are still able to use quantification over the natural numbers: all numbers divisible by four are divisible by two would be perfectly acceptable, indeed true.