“"Groping" and "muddling through" is usually described as a solution by trial and error…. a series of trials, each of which attempts to correct the error committed by the preceding and, on the whole, the errors diminished as we proceed and the successive trials come closer and closer to the desired final result…. we may wish a better characterization…"successive trials" or "successive corrections" or "successive approximations."… You use successive approximations when… looking for a word in the dictionary… A mathematician may apply the term… to a highly sophisticated procedure… to treat some very advanced problem… that he cannot treat otherwise. The term even applies to science as a whole; the scientific theories which succeed each other, each claiming a better explanation… may appear as successive approximations to the truth.
Therefore, the teacher should not discourage his students from using trial and error—on the contrary, he should encourage the intelligent use of the fundamental method of successive approximations. Yet he should convincingly show that for… many… situations, straightforward algebra is more efficient than successive approximations.”

United Nations Bulletin Vol. XVI, No. 4 (15 February 1954)

The Lawyer As CEO: Stay Competitive, Attract Better Talent, and Get Your Clients Results (While Building the Law Firm of the Future) (2022),

Experiment and Theory in Physics (1943), p. 44
Context: I believe there is no philosophical high-road in science, with epistemological signposts. No, we are in a jungle and find our way by trial and error, building our road behind us as we proceed. We do not find signposts at crossroads, but our own scouts erect them, to help the rest.

The Myth of Sisyphus (1942), Absurd Creation
Context: A profound thought is in a constant state of becoming; it adopts the experience of a life and assumes its shape. Likewise, a man's sole creation is strengthened in its successive and multiple aspects: his works. One after another they complement one another, correct or overtake one another, contradict one another, too. If something brings creation to an end, it is not the victorious and illusory cry of the blinded artist: "I have said everything," but the death of the creator which closes his experiences and the book of his genius.
That effort, that superhuman consciousness are not necessarily apparent to the reader. There is no mystery in human creation. Will performs this miracle. But at least there is no true creation without a secret. To be true, a succession of works can be but a series of approximations of the same thought. But it is possible to conceive of another type of creator proceeding by juxtaposition. Their words may seem to be devoid of inter-relations, to a certain degree, they are contradictory. But viewed all together, they resume their natural grouping.

“Game III,” p. 98
The Sun Watches the Sun (1999), Sequence: “A Game”

Source: What Is This Thing Called Science? (Third Edition; 1999), Chapter 5, Introducing falsification, p. 60.

Source: The Functions of the Executive (1938), p. 189

Helen Adams Keller (p. 60. Helen Keller's Journal: 1936-1937, Doubleday, Doran & company, inc., 1938)