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Is it possible to find an algorithm to solve almost any problem?
Is there an algorithm that should give a solution for all those problems that have a solution at all and which can be taken from almost any area of life?
If it exists, what does it look like?
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exists of course
1) has the problem been solved by anyone?
2) do I have enough resources [strength / money / life] to solve it?
Theoretically, no. The problem you posed is equivalent to the halting problem. The stop problem has no solution.
The most important algorithm for solving any problem is to break it into many small parts.
In theory - the usual enumeration allows you to solve any problem. He is the method of scientific poke. But - this is the most non-optimal algorithm in terms of time and, most often (if extrapolated to real life) - in terms of resources.
Yes, it exists and is called: bruteforce or "attack by brute force".
You sort through all the possible options based on the input parameters, analyzing the output parameters and finding the optimal solution from all the resulting results.
But the problem is that you can make mistakes at least 3 times:
1. With a set of input parameters
2. With their values
3. With their relationships and dependencies
Most likely, you will not succeed.
the answer is unequivocal - you can find an algorithm and it exists, but you will have to look for it endlessly, and probably it has not yet been created, but when it will be created .... :)
There is such a thing as expert systems (not AI). I myself did not delve into this, but at one time I came across a note about the scientist Lenat and his program "Evrisko": https://ru.m.wikipedia.org/wiki/Evrisko
Here's a little more about it: reffan. en/referat_otrpolmerqas.html
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