Hope is the emotional state which promotes the belief in a positive outcome related to events and circumstances in one's life. It is the "feeling that what is wanted can be had or that events will turn out for the best" or the act of "look[ing] forward to with desire and reasonable confidence" or "feel[ing] that something desired may happen". Other definitions are "to cherish a desire with anticipation"; "to desire with expectation of obtainment"; or "to expect with confidence".

There is always hope.

Aragorn|Aragorn, in The Lord of the Rings: The Two Towers (film)|The Lord of the Rings: The Two Towers (2002), written by Frances Walsh|Frances Walsh, Philippa Boyens|Philippa Boyens and Peter Jackson|Peter Jackson, based on The Lord of the Rings by J. R. R. Tolkien

Nature has fixed no limits on our hopes.

Björk, "Hope" on Volta (album)|Volta (2007)

Everything passes away — suffering, pain, blood, hunger, pestilence. The sword will pass away too, but the stars will still remain when the shadows of our presence and our deeds have vanished from the earth. There is no man who does not know that. Why, then, will we not turn our eyes towards the stars? Why?

Mikhail Bulgakov, in The White Guard

While there's life, there's hope!

Cicero, in Epistolarum ad Atticum [Epistle To Atticus]), Book IX, 10, 4

"Hope" is the thing with feathers — That perches in the soul — And sings the tune without the words — And never stops — at all — And sweetest — in the Gale — is heard — And sore must be the storm — That could abash the little BirdThat kept so many warm —

Emily Dickinson, Poem 254 in The Complete Poems of Emily Dickinson (1960), edited by Thomas H. Johnson.

All human wisdom is summed up in these two words — wait and hope.

Alexander Dumas, The Count of Monte Cristo

Because I do not hope to turn againBecause I do not hopeBecause I do not hope to turnDesiring this man's gift and that man's scopeI no longer strive to strive towards such things(Why should the agèd eagle stretch its wings?)Why should I mournThe vanished power of the usual reign?

T. S. Eliot, "Ash Wednesday (poem)|Ash Wednesday", part 1

Although I do not hope to turn againAlthough I do not hopeAlthough I do not hope to turn

T.S. Eliot, "Ash Wednesday (poem)|Ash Wednesday", part 6

Hope is definitely not the same thing as optimism. It is not the conviction that something will turn out well, but the certainty that something makes sense, regardless of how it turns out.

Václav Havel, in Disturbing the Peace (1986), Ch. 5 : The Politics of Hope

Beware how you take away hope from any human being.

Oliver Wendell Holmes, Sr., in his valedictory address to medical graduates at Harvard University (10 March 1858), published in The Boston Medical and Surgical Journal Vol. LVIII, No. 8 (25 March 1858), p. 158; this has also been paraphrased "Beware how you take away hope from another human being."