. >> Remember, in unit four, one of the ways that we discussed to refute an argument is to show that it's invalid by using parallel reasoning. And, I want to give an illustration right now of how an argument can be refuted by means of parallel reasoning. And the target of my refutation is going to be the fascinating argument, gay sex human nature and benefits, submitted by Matthew Ivan Bennett. And I should insist, before going on to refute this argument by parallel reasoning, that the conclusion of Bennett's argument may very well, for all I say here, be true. My only point, is that whether or not the conclusion is true, the argument itself is not valid. And let me illustrate that point right now. Here's how the argument goes. Premise one, the simplest definition of nature is the universe with all of its phenomena. Premise two, the simplest definition of human nature is, therefore, the phenomena of being human. Premise three, a phenomenon of being human is seeking the satisfaction of mutually beneficial goals through sex, such as comfort and bonding. Premise four, not all sex is reproductive. Premise five, so human nature allows non-reproductive purposeful beneficial sex. Premise six, gay sex, although it is non reproductive, can often benefit those who practice it through comfort and bonding. Conclusion, therefore, gay sex is often beneficial in a way that accords with human nature. Okay, that's Benton's argument. And as I said, the conclusion of that argument may very well be true. But now, let me try to refute that argument by dint of parallel reasoning. So consider the following argument. One phenomenon of being human is seeking easy, and affordable sources of nutriment, finding nutrition in ways that are not too expensive to obtain or consume. Premise two, not all nutrition is farmed. Right? There's plenty of nutrition that we get that's not farmed. Eating berries off of the bush, eating animals that we've hunted in the wild. Premise three, so human nature allows for the consumption of non-farmed, wild, easily obtainable nutriment. Premise four, eating senile people, though they're not farmed, is a way of obtaining nutrient that's very easy, that's very affordable, and in fact, avoids the draining on social resources that is created by senescence. Conclusion, eating senile people often accords with human nature in a way that's beneficial. Now, I hope none of you are convinced by my second argument. Although it's true that all the premises of the second argument are correct, I don't believe that the conclusion is correct. I'm quite certain that the conclusion is not correct. If human nature means anything, if human nature rules out anything, then it rules out eating senile people. But, if the conclusion of that argument is not correct, even though the premises are correct, what that shows is that the second argument, the argument that I just constructed, is not valid. Its premises might all be true, but it's conclusion is false. And so the argument can't be valid. Now, let's go back to Matthew Benton's argument. Benton's premises might all be true. And his conclusion might also be true. But even if his premises and his conclusion are true, that doesn't show that the argument is valid. Of course, you can have an invalid argument whose premises and conclusion are all true. And what I've attempted to do by constructing a parallel argument is to show that whatever the truth of Benton's premises and his conclusion, the argument that he's built is not valid. It follows the same rule as the argument that I constructed. Well, if it follows the same rule, then the two arguments are both either valid or they're both not valid. Since my argument is clearly not valid, I conclude that his argument must not be valid either, whether or not its premises and its conclusion are true. That's an example of refutation by parallel reasoning.