Two mutually destructive propositions

Dowson, « Ourselves, Critically considered », Metapthysical magazine: a monthly review of the occult sciences and MetaphysicalphilosophyNew York, vol. 6-7, 1898.

Then again our knowledge may be hardly ours at all: it may be stuck loosely about us like the pebbles and sticks on a caddis instead of being built up into an organized structure. In that state- the caddis state- we are able to maintain, with a sensr of duty fulfilled two mutually destructive propositions, and to believe or disbelieve (whitch is the same thing) any absurdity from force of habit.