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The first Clarke's Law was proposed by Arthur C. Clarke in the essay "Hazards of Prophecy: The Failure of Imagination", in Profiles of the Future (1962).
The second law is offered as a simple observation in the same essay. Status as Clarke's Second Law was conferred by others. In a 1973 revision of his compendium of essays, Profiles of the Future, Clarke acknowledged the Second Law and proposed the Third. "As three laws were good enough for Newton, I have modestly decided to stop there".
The Third Law is the best known and most widely cited. Also appearing in Clarke's Essay "Hazards of Prophecy: The Failure of Imagination". It may be an echo of a statement in a 1942 story by Leigh Brackett: "Witchcraft to the ignorant, .... Simple science to the learned". Even earlier examples of this sentiment may be found in Wild Talents by author Charles Fort where he makes the statement: "...a performance that may some day be considered understandable, but that, in these primitive times, so transcends what is said to be the known; that it is what I mean by magic."
Invoking his own Third Law, Clarke postulates advanced technologies without resorting to flawed engineering concepts or explanations grounded in incorrect science or engineering, or taking cues from trends in research and engineering. Powers of any future superintelligence would otherwise seem astonishing. One of the characters in Ben Bova's novel Orion and King Arthur credits the saying to "a very wise man."
In novels (The City and the Stars) and short stories ("The Sentinel" upon which 2001: A Space Odyssey was based), Clarke presents ultra-advanced technologies. In Against the Fall of Night, the human race regressed after a full billion years of civilization, and faces remnants of past glories such as roadways. Physical possibilities are inexplicable from their perspective.
A fourth law has been added to the canon, despite Sir Arthur Clarke's declared intention of not going one better than Sir Isaac Newton. Geoff Holder quotes: "For every expert, there is an equal and opposite expert" in his book 101 Things To Do With A Stone Circle (The History Press, 2009), and offers as his source, Arthur C. Clarke's Profiles of the Future (new edition, 1999).