To aid remembrance, I change the names of the people to R for Recluse and S for Stalker. Because the original refers to 1 as the premise and 2 as the conclusion, I'll just write 1 and 2.
Example[Example:] 1.If Boris If R had gone (to the party), then OS would still have gone.
2. Therefore, if OS had not gone, then BR would not have gone.
Analysis: Suppose BR wanted to go , but stayed away ... to avoid OS (who has a hopeless crush on him). If this is the case, then the conclusion[2] ... is false even if the premise[1] ... is true. OS would have gone to the party all the more willingly if BR had been there, so the premise[1] ... is true. Thus, the original claim... (1) is true but its contrapositive (2) is false (unlike the contrapositive of a material conditional which is its logical equivalent, i.e., it has the same truth-value).
Conclusion: Transposing (or replacing) a counterfactual-conditional with its contrapositive form does not preserve its truth-value.
How does this differ fromI rewrite 1 and 2 above, as 3 (the material conditional equivalent of 1) and 4 (just the contrapositive of a material conditional3). The bolded implies the truth of 3. R's desire to avoid S, which I present as followsimplies the falsity of 4. So how do 1 and 2 differ from 3 and 4? Besdes grammatical tense, all looks identical to me!
3. If BR goes, then OS goes. 4 4. If OS doesn't go, then BR doesn't go.
The bolded implies that 3 is true, yet 4 is false. So a contrapositive of a material conditional fails too? But I just applied the contrapositive, so how could I err? How could 4 NOT be the contrapositive of 3?