Well in my opinion it is better to reason correctly and have a true conclusion. But if I had to choose just one I would want to have a strong argument and a false or probable conclusion. My main reason is for the fact that if you convince someone that your premises are true then your conclusion has to be true (in theory).
The use of true premises and a false conclusion is inductive reasoning. Because inductive reasoning is based upon probabilities, conclusions are considered to be cogent rather than true. A strong argument is very important to me, because if you can convince someone that you know what you are talking about they will most likely believe that your conclusion is right. It is not always the fact that your conclusion is false, it may be that it is possible but there is not enough evidence to support it. If your premises are obvious most people won't take their time to second guess you. But I think that a lot of that is your confidence and knowledge.
The other side of the argument is to reason incorrectly to a true conclusion. A true conclusion is a good end to an argument, but if you get there in an incorrect way your conclusion doesn't seem very strong. When in an argument it is very important to seem strong and confident about your topic. If you can't convince the other person that you have strong premises to support your strong conclusion they will have a hard time believing you.
I believe that in an argument that it doesn't matter if you have a true or a false conclusion. What matters to me is if you can back up your premises with facts and come to a conclusion, wrong or right. What matters is that you present yourself strong and confident, with the knowledge of the topic. If you don't know enough about the topic, don't start the argument and don't get involved.
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