Voyager
I think that if you want to discuss this matter further we should start a new thread because this is straying far from the original post.
Kuhn points out that when paradigms separate individuals within a science they often have very difficult times communicating because a paradigm is a way of seeing.
A particular science is confined to a paradigm. Perhaps individuals break from that paradigm and join with another group.
As you are a computer scientist and thus an expert at algorithms I must, nevertheless, dispute your comments that “algorithms have little to do with science”.
I do not know what definition computer science uses but Webster says “Algorithm—a procedure for solving a math problem in a finite number of steps that frequently involves repetition of an operation: a step-by-step procedure for solving a problem or accomplishing some end esp. by computer”.
I am a retired engineer and I know how physics, chemistry, and engineering are taught and they are taught as a series of algorithms that are learned as a step by step process for solving all problems. Every exam consists in the student responding to the test questions with a step by step series of mathematical equations for solving the exam questions. The exams often did not even use numbers; the student was required to show each mathematical step in the solution.
Exam scores were based upon the student recognizing how to set up the answer in this manner and if significant steps were missing from the solution the grade reflected the displeasure of the grader.
The background training a student learns in any of the natural sciences that I am familiar with learns the paradigms and algorithms of that paradigm. None of the courses I took were given in a narrative fashion. Almost every class period consisted of the professor working out on the blackboard the complete algorithm for the problems the students had with their homework; this was followed by the professor constructing a complete set for the new material.
The following quotations I have taken from chapter IV “Normal Science as Puzzle Solving”
of Kuhn’s book “The Structure of Scientific Revolutions”.:
“Perhaps the most striking feature of the normal research problems we have just encountered is how little they aim to produce major novelties, conceptual or phenomenal.”
“the man who succeeds proves himself an expert puzzle-solver,”
“puzzles are,…that special category of problems that can test ingenuity or skill in solution”
“though intrinsic value is no criterion for puzzle, the assured existence of a solution is.”
“a paradigm can, or for that matter, even insulate the community from those socially important problems that are not reducible to the puzzle form,…”
“one of the reasons why normal science seems to progress so rapidly is that its practitioners concentrate on problems that only their own lack of ingenuity should keep them from solving.”
“to classify as a puzzle,…there must also be rules that limit both the nature of acceptable solutions and the steps by which they are to be obtained.”
All hypotheses are designed to be proven false. That is what a hypothesis is all about. Inductive reasoning works not because truth can be proven but that untruth can be proven.
Hopper specifies that a criterion of a scientific statement is that it can be proven false.
The fact that the Michaelson-Morley experiment proved that the theory regarding the either was an error was what awakened Einstein and others, I guess, as to the inherent weakness in Newton’s laws of gravity.
The paradigm does determine what the answer to the experiment must be and if the scientist does not produce that, the paradigm demands that scientist must repeat it until s/he does, or unless s/he is prepared to question the paradigm that individual loses prestige in the group.
When work was done on the DNA analysis of the human genome if those tests showed a result that was significantly off what the theory of natural selection dictates those scientists would have to go back and run the tests until they did or be disgraced unless they could show somehow that the theory of natural selection, the paradigm under which they worked, was in error.