MRS. CHEVELEY: Ah! The strength of women comes from the fact that psychology cannot explain us. Men can be analyzed, women merely adored.

SIR ROBERT: You think science cannot grapple with the problem of women?

MRS. CHEVELEY: Science can never grapple with the irrational. That is why it has no future before it, in this world.

SIR ROBERT: And women represent the irrational.

MRS. CHEVELEY: Well-dressed women do.

This quotation takes place at the beginning of the play in Act I just before Mrs.Cheveley blackmails Sir Robert (how to play starts out and what it is about). This quote shows one the the major themes of the play "womanliness" and "feminitity" because this play is set in the Victorian Era and between the "richer" people. 

LORD CAVERSHAM: And if you don't make this lady an ideal husband, I'll cut you off without a shilling.

MABEL CHILTERN: An ideal husband! Oh, I don't think I should like that. It sounds like something in the next world.

LORD CAVERSHAM: He can be what he chooses. All I want is to be to be oh, a real wife to him.

LORD CAVERSHAM: Upon my word, there is a good deal of common sense in that, Lady Chiltern.

This quotes is at the very end of the play of act IV. It is said in the play as a sort of joke or ironically. At this time, Mabel and Lord Goring have announced their engagement and that is why this quotes came up. Mabel protests that there isn't such  thing of "an ideal husband" and that is belongs only in heaven. On the other hand, Goring can be whatever he wants while she wants to be hid "real" wife.