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In my model, yes.
Whether it be a paper-cut, a punch in the face, a leg break, a limb amputation etc. – there is some level of discomfort where the starting value of for one single person is higher than that of the limit of the log graph for 1,000,000,000+ people dealing with some lesser degree of discomfort.
That doesn’t necessarily have to be ‘extreme torture’ – this was just a more ‘obvious’ scenario that I used as an example.
For clarity – I do agree that a simple stacking model like this has its flaws as each individual ‘unit’ of discomfort / pain will not never be exactly equal in practice.
If you have the time, I’d like you to read my response to CstineSublime’s comment.
Regardless of whether or not some version of this thought experiment ever becomes a serious practical problem, if there was some non-zero chance of having a situation where a decision like this had to be made, wouldn’t it make sense to have some method of comparison?
In reality, every ‘stacking theory’ requires a bunch of assumptions, but if the decision had to be made for some reason, do you think a logarithmic scale is a more appropriate one to use?
I suppose you’re right.
Maybe ‘death’ was a poor example as it inherently leads us to a state of relief from discomfort. If we instead take the example of ‘extreme torture’, then it makes more sense to compare the two.
The ‘discomfort’ I was referring to was more from a ‘physical sensation’ perspective rather than any second-order effects.
Imagine these experiences occur in a closed system with no influence on the outside world. Each person has been brought into existence by some higher power specifically for the purposes of this experiment. They have no family, no friends, and are genetically identical.
Imagine 1,000,000,000 participants with a single rational observer. The observer is forced by the higher power to make a choice – so some method of comparison is required.
Would it make more sense for the observer to choose for every single one of the participants to be burdened with a speck of dust in their eye, or for one single participant to be subjected to ‘extreme torture’?
Is there any point where increasing the number changes your mind?
For me it doesn’t matter how many participants there are – the option of torture should never be taken.
The ‘logarithmic stacking theory’ allows this to work mathematically, while a linear model does not.
I’m unsure myself.
I wouldn’t want to simply avoid the question as it’s very possible that it could become a practical problem at some point in the future.
Do you think a logarithmic scale makes more sense than a linear scale?