Source: 1960s, Beyond Economics: Essays on Society, 1968, p. 142
“The impossible often has a kind of integrity to it which the merely improbable lacks.”
Source: The Long Dark Tea-Time of the Soul (1988), Ch. 14
Context: What was the Sherlock Holmes principle? 'Once you have discounted the impossible, then whatever remains, however improbable, must be the truth.'
I reject that entirely. The impossible often has a kind of integrity to it which the merely improbable lacks. How often have you been presented with an apparently rational explanation of something that works in all respects other than one, which is just that it is hopelessly improbable? Your instinct is to say 'Yes, but he or she simply wouldn't do that.
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English writer and humorist 1952–2001Related quotes

“Subject to a kind of disease, which at that time they called lack of money.”
Source: Gargantua and Pantagruel (1532–1564), Pantagruel (1532), Chapter 16.

“I believe in integrity. Dogs have it. Humans are sometimes lacking it.”

“I mistrust all systematizers and avoid them. the will to a system is a lack of integrity.”
Source: Twilight of the Idols

Statement (1853) as quoted in Andrew Johnson, Plebeian and Patriot (1928) by Robert Watson Winston.
Quote
Context: There are some who lack confidence in the integrity and capacity of the people to govern themselves. To all who entertain such fears I will most respectfully say that I entertain none... If a man is not capable, and is not to be trusted with the government of himself, is he to be trusted with the government of others... Who, then, will govern? The answer must be, Man — for we have no angels in the shape of men, as yet, who are willing to take charge of our political affairs.

[Peter Haldeman, w:Peter Haldeman, The Return of Werner Erhard, Father of Self-Help, The New York Times, November 28, 2015, http://www.nytimes.com/2015/11/29/fashion/the-return-of-werner-erhard-father-of-self-help.html?ref=fashion&_r=0]

Pattern Integrity 505.201 http://www.rwgrayprojects.com/synergetics/s05/p0400.html#505
1970s, Synergetics: Explorations in the Geometry of Thinking (1975), "Synergy" onwards

4 January 2014.
A9 TV addresses, 2014
Context: Lack of love and egoism drags people into fragmentation. Love on the other hand brings about integration. Would anyone want to be separated from his loved one? One would only want to be separated from those he doesn’t love. One would not want to see those he hates. All these fragmentations in the world stem from a lack of love.