My question considers what our definition of right and wrong is (i.e. what's the basis of deciding what right and wrong), along with the origin of right and wrong.
In other words, what is the most common idea behind right and wrong across all religions, philosophers, and beliefs?
My idea is as follows:
As circumstances are different for everyone, right and wrong is also different. What it implies is that there is no universally acceptable right or wrong.
Since there isn't a universal right and wrong, humans cannot have a definite moral compass for their actions.
However, as a physical system, humanity needs order and peace (essentially, a low-energy stable state). A low-energy state is preferred for almost all physical phenomena - so, should humans also strive to achieve this stable state?
Here, I face another question - is humanity meant to live in peace, or are conflicts, in some way, necessary for the development of us as a civilization?
In such cases, all actions should be taken according to maximum benefit for everyone. Here's an analogy using math:
Consider an equation, say
f(x,y) = 7x⁴ - 4y³ + x² - 8y + 5, [f(x,y) is the consequence]
and x+y is the maximum "potential" of the cause [i.e. what the maximum capability to take action is, based on circumstances] - say, x+y=10.
[Here, the coefficients and powers of the variables in f(x,y) indicate how "important" they are to the result of the action.]
For "maximum benefit", either f(x,y)>0, f''(x,y)=0, f'''(x,y)<0 [which means that net gain is positive, and the action has the maximum rate of growth (case 1)] Or - f'(x,y)=0, f''(x,y)<0, f'(x±h,y±h)>0 (h is an independent constant) [which means that the action has the maximum net gain at present, and will continue to grow regardless of the circumstances (case 2)]
Substituting y=10-x in f(x,y) yields 7x⁴ + 4x³ - 119x² + 1208x -4075 = f(x).
For no real value of x, case 1 or case 2 is satisfied. This means that the action, i.e. f(x,y), is bound to yield negative consequences. To resolve this, the coefficients and powers of variables need to be changed. (i.e. The importance given to each variable should be altered to yield maximum net gain)
This was merely an attempt to express cause and consequence using mathematics. (though real-life equations are found to be much more complex). Is there a way mathematics and calculus can be used to make rational and ethical decisions?
In this case, is it better to discard the existing framework of right and wrong, and adopt the method of "maximum benefit"?
What are the logical fallacies associated with my idea? Thank you for letting me know.