Here’s an interesting set of cases that I haven’t seen a philosophical discussion of. To get some item B, you need to affirm that you did A (e.g., took some precautions, read some text, etc.) But to permissibly affirm that you did A, you need to do A. Let us suppose that you know that your affirmation will not be subject to independent verification, and you in fact do A.
Is A a means to B in this case?
Interestingly, I think the answer is: Depends.
Let’s suppose for simplicity that the case is such that it would be wrong to lie about doing A in order to get B. (I think lying is always wrong, but won’t assume this here.)
If you have such an integrity of character that you wouldn’t affirm that you did A without having done A, then indeed doing A is a means to affirming that you did A, which is a means to B, and in this case transitivity appears ot hold: doing A is a means to B.
But we can imagine you have less integrity of character, and if the only way to get B would be to falsely affirm that you did A, you would dishonestly so affirm. However, you have enough integrity of character that you prefer honesty when the cost is not too high, and the cost of doing A is not too high. In such a case, you do A as a means to permissibly affirming that you did A. But it is affirming that you did A that is a means to getting B: permissibly affirming is not necessary. Thus, your doing A is not a means to getting B, but it is a means to the additional bonus that you get B without being dishonest.
In both specifications of character, your doing A is a means to its being permissible for you to affirm you did A. We see, thus, that we have a not uncommon set of cases where an ordinary action has a normative end, namely the permissibility of another action. (These are far from the only such cases. Requesting someone’s permission is another example of an action whose end is the permissibility of some other action.)
The cases also have another interesting feature: your action is a non-causal means to an end. For your doing A is a means to permissibility of affirming you did A, but does not cause that permissibility. The relationship is a grounding one.
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