AlexandrosTsolis
Senior Member
- Feb 1, 2022
- 248
- 19
- 46
Hi all,
when a solution to a problem appears, it is easy to verify that solution solves the problem, or you would have another problem and not a solution, no?
Consider the below problem
Pick a coin choose a side and flip it as freely as you want to live.
After you can guess the side the coin ends up facing you right all the time and regardless of the time and space you live, I have a question for you.
Why didn't you come here now to tell me about it stop writing before I finish this question here?
The above is a problem whose solution is easy to verify for correctness, but the problem isn't easy to solve, no?
Because if any problem was easy to solve, someone could predict the future, but next doesn't happen next in imagination really, next happens next in reality.
In case you are wondering why next doesn't happen next in your imagination, if you had a problem with me writing the above, why didn't you come earlier to tell me about it?
What, you thought I might be afraid to face you prophet?
Nah, this isn't what seems to be happening prophet, something else is happening here...
Another way to explain...
1.You are asking, if the solution to a problem is easy to check for
correctness, must the problem be easy to solve?
2. When a solution for the problem appears it is easy to check that
this solution solves the problem, or else you would have
another problem, and not really a solution.
3. A problem needs to start a path in time and space which ends
with a solution for this problem, in order for the problem to be
solved in time and space, or else all paths in time and space
with a beginning, a middle, and an end wouldn’t solve this
problem.
4. if it is easy to solve…
5. it is easy to check that the solutions solve the problem, or you’d
have more problems,
6. or you didn’t find this path… … so pick a coin, choose a side, and flip it as freely as you want
to live.
7. After you can guess the side the coin ends up facing you right all
the time, I have a question for you.
8. Why didn’t you come here to tell me about it now?
P versus NP problem - Wikipedia
when a solution to a problem appears, it is easy to verify that solution solves the problem, or you would have another problem and not a solution, no?
Consider the below problem
Pick a coin choose a side and flip it as freely as you want to live.
After you can guess the side the coin ends up facing you right all the time and regardless of the time and space you live, I have a question for you.
Why didn't you come here now to tell me about it stop writing before I finish this question here?
The above is a problem whose solution is easy to verify for correctness, but the problem isn't easy to solve, no?
Because if any problem was easy to solve, someone could predict the future, but next doesn't happen next in imagination really, next happens next in reality.
In case you are wondering why next doesn't happen next in your imagination, if you had a problem with me writing the above, why didn't you come earlier to tell me about it?
What, you thought I might be afraid to face you prophet?
Nah, this isn't what seems to be happening prophet, something else is happening here...
Another way to explain...
1.You are asking, if the solution to a problem is easy to check for
correctness, must the problem be easy to solve?
2. When a solution for the problem appears it is easy to check that
this solution solves the problem, or else you would have
another problem, and not really a solution.
3. A problem needs to start a path in time and space which ends
with a solution for this problem, in order for the problem to be
solved in time and space, or else all paths in time and space
with a beginning, a middle, and an end wouldn’t solve this
problem.
4. if it is easy to solve…
5. it is easy to check that the solutions solve the problem, or you’d
have more problems,
6. or you didn’t find this path… … so pick a coin, choose a side, and flip it as freely as you want
to live.
7. After you can guess the side the coin ends up facing you right all
the time, I have a question for you.
8. Why didn’t you come here to tell me about it now?
P versus NP problem - Wikipedia