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Is this a false dilemma, or fuzzy logic, or ambiguous fallacy

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Original Question
P1) I desire a luxury apartment
P2) I desire to avoid debt
P3) If I buy a luxury apartment I will be in debt
P4) My desire is stronger to avoid debt then to own a luxury apartment
C) therefore I do not have the will to own a luxury apartment...

I was thinking false dilemma because an alternative to buy or not buying could also be winning it in a giveaway or someone buying it for me....
This is meant to address the contention that free will, defined as a decision without outside forces, doesn't exist.

P.S. Bo knows fallacies......

Answers

1

I would say a simple non sequitur, since the conclusion doesn't follow from the premises. As you point out, you are using two different concepts in the argument: buy and own. If you were to change "own" to "buy" in the conclusion, it would be a strong argument. One might also argue that you are transposing the word "desire" with "will", which could also cause problems if you are going for a deductive argument.

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