assume existence in a sentence

1) I do assume the axioms, and I do assume existence.

2) So, yes, I assume existence, and prove necessity by assuming necessity, but there is nothing wrong with that as I have formed my argument.

assume collocations
3) There is nothing in the realm of possibility that allows a coherent expression of the question without also assuming existence and the axioms.

4) The method is based on the assumed existence of an imaginary

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