Quotes about forgetting
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“Life, a good life, a great life is about "Why not?" May we never forget it.”
Source: Happy Birthday
Source: The Whole-Brain Child: 12 Revolutionary Strategies to Nurture Your Child's Developing Mind, Survive Everyday Parenting Struggles, and Help Your Family Thrive

"Proclamation 3560 — Thanksgiving Day, 1963" (5 November 1963) http://www.presidency.ucsb.edu/ws/?pid=9511<!-- Online by Gerhard Peters and John T. Woolley, The American Presidency Project -->
1963
Context: Today we give our thanks, most of all, for the ideals of honor and faith we inherit from our forefathers — for the decency of purpose, steadfastness of resolve and strength of will, for the courage and the humility, which they possessed and which we must seek every day to emulate. As we express our gratitude, we must never forget that the highest appreciation is not to utter words but to live by them.
Let us therefore proclaim our gratitude to Providence for manifold blessings — let us be humbly thankful for inherited ideals — and let us resolve to share those blessings and those ideals with our fellow human beings throughout the world.
“The minute we begin to think we have all the answers, we forget the questions.”
Source: A Circle of Quiet

“Let the past be content with itself, for man needs forgetfulness as well as memory”
Source: Irish Fairy Tales

Source: Play the Piano Drunk Like a Percussion Instrument Until the Fingers Begin to Bleed a Bit
“How can you just forget a person completely until the moment you see his face again?”
Source: On the Jellicoe Road
Source: How to Stop Worrying and Start Living

Source: Story People: Selected Stories & Drawings of Brian Andreas

“Never forget that only dead fish swim with the stream.”

“Paris is a place in which we can forget ourselves, reinvent, expunge the dead weight of our past.”
Source: Detour de France: An Englishman in Search of a Continental Education

“Forget solar energy—if you could harness denial, it would power the world for generations.”
Source: Challenger Deep

“I’m a psychic amnesiac. I know in advance what I’ll forget.”

Source: He's Just Not That Into You: The No-Excuses Truth to Understanding Guys

“With children the clock is reset. We forget what came before”
Source: The Lowland

1960s, (1963)

“The best way to get even is to forget.”
Source: Mrs. Miracle

“Better that we leave the paint behind," Hans told her, "than ever forget the music.”
Source: The Book Thief

“Man reckons with immortality, and forgets to reckon with death.”
Source: Immortality

Source: Rommel Drives on Deep Into Egypt

“In secret we met
In silence I grieve,
That thy heart could forget,
Thy spirit deceive.”
When We Two Parted (1808), st. 4.
Context: In secret we met
In silence I grieve,
That thy heart could forget,
Thy spirit deceive.
If I should meet thee
After long years,
How should I greet thee?
With silence and tears.

Obituary for physicist and philosopher Ernst Mach (Nachruf auf Ernst Mach), Physikalische Zeitschrift 17 (1916), p. 101
1910s
Context: How does it happen that a properly endowed natural scientist comes to concern himself with epistemology? Is there not some more valuable work to be done in his specialty? That's what I hear many of my colleagues ask, and I sense it from many more. But I cannot share this sentiment. When I think about the ablest students whom I have encountered in my teaching — that is, those who distinguish themselves by their independence of judgment and not just their quick-wittedness — I can affirm that they had a vigorous interest in epistemology. They happily began discussions about the goals and methods of science, and they showed unequivocally, through tenacious defense of their views, that the subject seemed important to them.
Concepts that have proven useful in ordering things easily achieve such authority over us that we forget their earthly origins and accept them as unalterable givens. [Begriffe, welche sich bei der Ordnung der Dinge als nützlich erwiesen haben, erlangen über uns leicht eine solche Autorität, dass wir ihres irdischen Ursprungs vergessen und sie als unabänderliche Gegebenheiten hinnehmen. ] Thus they might come to be stamped as "necessities of thought," "a priori givens," etc. The path of scientific progress is often made impassable for a long time by such errors. [Der Weg des wissenschaftlichen Fortschritts wird durch solche Irrtümer oft für längere Zeit ungangbar gemacht. ] Therefore it is by no means an idle game if we become practiced in analysing long-held commonplace concepts and showing the circumstances on which their justification and usefulness depend, and how they have grown up, individually, out of the givens of experience. Thus their excessive authority will be broken. They will be removed if they cannot be properly legitimated, corrected if their correlation with given things be far too superfluous, or replaced if a new system can be established that we prefer for whatever reason.

“Life has never been All or Nothing- it's All and Nothing. Forget the binaries.”
Source: The Stone Gods

Source: Al Milyūnayr Al Mutasharrad =Slumdog Millionaire

“Forget about what you are escaping from. Reserve your anxiety for what you are escaping to.”
Part I, ch. 2
Variant: "Forget about what you are escaping from," he said, quoting an old maxim of Kornblum's. "Reserve your anxiety for what you are escaping to."
Source: The Amazing Adventures of Kavalier & Clay (2000)
“You play games with people's lives.(…) You forget that they are fragile.”
Source: Dragon Blood

Source: Life Together: The Classic Exploration of Christian Community

When We Two Parted (1808), st. 4.

Variant: Most of the time, because of their failure to fasten on to words, my thoughts remain misty and nebulous. They assume vague, amusing shapes and are then swallowed up: I promptly forget them.
Source: Nausea

“And we forget because we must and not because we will.”

“People change and forget to tell each other.”
“When the remembering was done, the forgetting could begin.”

“As long as I kept my body moving I could forget about the emptiness inside.”
Source: Norwegian Wood

Source: Pearls of Lutra