Summary

Portrait of Lillian Eichler Lillian Eichler Book of Etiquette, Volume 1, Part 2… (1921)

Too many people go through the ceremony of an introduction merely as a matter of duty, without realizing its portent in the matter of friendship and future acquaintance.
We have all met the man or woman who nods stiffly in acknowledgment of an introduction, and offers some stereotyped expression of welcome. And we have all met the man or woman who smiles warmly, offers a sincere handclasp, and acknowledges the introduction so cordially that one feels entirely at ease.
Source: Wikisource

Portrait of Lillian Eichler Lillian Eichler Book of Etiquette, Volume 1, Part 2… (1921)

A lady, of course, may not on any condition address a gentleman whom she does not know, nor may a gentleman address a lady who is a stranger to him. But when two men are sitting side-by-side on a steamer deck, both glorying in the solemn dignity of the sea, and the wide expanse of sky, it would be petty indeed to refrain from conversation. If a friendship is to be developed later, a formal introduction may be sought
Source: Wikisource

Portrait of Lillian Eichler Lillian Eichler Book of Etiquette, Volume 1, Part 2… (1921)

And they may carry on quite a delightful conversation without being formally presented to each other.
There can be nothing quite as shallow as refusing to answer, or answering coldly, the person who addresses you in a spirit of friendliness, merely because there have been no formal introductions. One must have vision enough to see that what is correct in the ballroom would be strained and narrow in the shadow of the huge mountains where men and women of every social standing gather to enjoy the same glorious bigness of things.
Source: Wikisource

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