What proposal did Bloom, diambulist, father of Milly, somnambulist, make to Stephen, noctambulist?

To pass in repose the hours intervening between Thursday (proper) and Friday (normal) on an extemporised cubicle in the apartment immediately above the kitchen and immediately adjacent to the sleeping apartment of his host and hostess.

What various advantages would or might have resulted from a prolongation of such an extemporisation?

For the guest:  security of domicile and seclusion of study.  For the host:  rejuvenation of intelligence, vicarious satisfaction.  For the hostess:  disintegration of obsession, acquisition of correct Italian pronunciation.

Why might these several provisional contingencies between a guest and a hostess not necessarily preclude or be precluded by a permanent eventuality of reconciliatory union between a schoolfellow and a jew’s daughter?

Because the way to daughter led through mother, the way to mother through daughter.

To what inconsequent polysyllabic question of his host did the guest return a monosyllabic negative answer?

If he had known the late Mrs Emily Sinico, accidentally killed at Sydney Parade railway station, 14 October 1903.

What inchoate corollary statement was consequently suppressed by the host?

A statement explanatory of his absence on the occasion of the interment of Mrs Mary Dedalus (born Goulding), 26 June 1903, vigil of the anniversary of the decease of Rudolph Bloom (born Virag).

Was the proposal of asylum accepted?

Promptly, inexplicably, with amicability, gratefully it was declined. 
What exchange of money took place between host and guest?

The former returned to the latter, without interest, a sum of money (1-7-0), one pound seven shillings sterling, advanced by the latter to the former.

What counterproposals were alternately advanced, accepted, modified, declined, restated in other terms, reaccepted, ratified, reconfirmed?

To inaugurate a prearranged course of Italian instruction, place the residence of the instructed.  To inaugurate a course of vocal instruction, place the residence of the instructress.  To inaugurate a series of static semistatic and peripatetic intellectual dialogues, places the residence of both speakers (if both speakers were resident in the same place), the Ship hotel and tavern, 6 Lower Abbey street (W. and E. Connery, proprietors), the National Library of Ireland, 10 Kildare street, the National Maternity Hospital, 29, 30 and 31 Holles street, a public garden, the vicinity of a place of worship, a conjunction of two or more public thoroughfares, the point of bisection of a right line drawn between their residences (if both speakers were resident in different places).

What rendered problematic for Bloom the realisation of these mutually selfexcluding propositions?