0:00:04.440,0:00:10.459 Oh, hello. Welcome to the second unit of[br]our course. In the first unit, you learned 0:00:10.459,0:00:16.554 how to listen to what someone was saying,[br]or read what they were writing, and find 0:00:16.554,0:00:22.573 the argument in their words. You learned[br]what arguments are, what their parts are, 0:00:22.573,0:00:28.297 and what they're used for. In this second[br]unit and the third unit that follows it, 0:00:28.297,0:00:33.503 you're going to learn how to evaluate[br]arguments. In the second unit, we're going 0:00:33.092,0:00:38.503 to focus on deductive arguments. And in[br]the third unit, you're going to focus on 0:00:38.503,0:00:43.709 inductive arguments. So before we go any[br]farther, I first need to explain the 0:00:43.709,0:00:50.172 difference between deductive and inductive[br]arguments. A deductive argument is an 0:00:50.172,0:00:56.209 argument that's presented as being valid.[br]Now, remember what it is for an argument 0:00:56.209,0:01:02.097 to be valid. An argument is valid, just in[br]case, there's no possible way for it's 0:01:02.097,0:01:09.002 conclusion to be false, when all of it's[br]premises are true. See, I just got a new 0:01:09.002,0:01:16.794 pet clown fish, Nimo. Now, maybe you don't[br]know much about clown fish anatomy. But 0:01:16.794,0:01:24.043 I'm going to try to persuade you right now[br]that clown fish have gills. Here's an 0:01:24.043,0:01:30.838 argument that I can give you for the[br]conclusion that clown fish have gills. 0:01:30.838,0:01:38.086 Well, catfish have gills and goldfish have[br]gills, and sharks have gills. Therefore, 0:01:38.086,0:01:45.643 clown fish have gills. Now, is that[br]argument valid? No, it's not. It's not 0:01:45.643,0:01:52.472 valid because it's possible for the[br]premises to be true even when the 0:01:52.472,0:02:00.082 conclusion is false. It could be that[br]catfish, and sharks, and goldfish all have 0:02:00.082,0:02:07.500 gills even though clownfish don't. But now[br]suppose I give you a different argument, 0:02:07.500,0:02:14.212 for the conclusion that clown fish have[br]gills. Here's how this different argument 0:02:14.212,0:02:21.509 goes. All fish have gills, clown fish are[br]a kind of fish. Therefore, clown fish have 0:02:21.509,0:02:27.534 gills. Now, that argument is valid.[br]There's no possible way for the premises 0:02:27.534,0:02:33.501 of that argument to be true if the[br]conclusion is false. I just gave you an 0:02:33.501,0:02:39.057 example of a valid argument. But a valid[br]argument is not necessarily a deductive 0:02:39.057,0:02:43.874 argument. And the deductive argument is[br]not necessarily a valid argument. A 0:02:43.874,0:02:48.742 deductive argument is an argument t hat's[br]presented as being valid. A deductive 0:02:48.742,0:02:53.734 argument is successful only if it's valid.[br]And in this second unit of the course, 0:02:53.734,0:02:58.352 we're going to learn how to evaluate[br]deductive arguments for validity. How to 0:02:58.352,0:03:03.469 figure out whether or not they are valid.[br]So, I just gave an example of an argument 0:03:03.469,0:03:08.586 and we figured out that it was valid. We[br]figured out that it was valid by noticing 0:03:08.586,0:03:13.515 that there was no possible way for the[br]premises to be true when the conclusion 0:03:13.515,0:03:18.443 was false. So, if we could figure out[br]that, that argument was valid, why do we 0:03:18.443,0:03:23.739 need to do anything more for the second[br]unit of the course? It looks like we can 0:03:23.739,0:03:29.167 just look at an argument and figure out[br]whether or not it's valid. What's there to 0:03:29.167,0:03:34.066 learn in this second unit? Well, what[br]we're going to do in this second unit is 0:03:34.066,0:03:39.362 learn some rules that we can use for[br]figuring out when particular arguments are 0:03:39.362,0:03:46.239 valid. Now, why are these rules good to[br]learn? There are three reasons why it's 0:03:46.239,0:03:51.833 good to learn these rules. The first[br]reason is that, sometimes using these 0:03:51.833,0:03:57.962 rules can help you figure out whether a[br]particular argument is valid. You see in 0:03:57.962,0:04:04.015 some cases, it's not obvious just from[br]looking at a particular argument that it 0:04:04.015,0:04:12.797 is valid. Consider the following example.[br]No fish have wings. All birds have wings. 0:04:12.797,0:04:20.936 All animals with gills are fish.[br]Therefore, no birds have gills. Is that 0:04:20.936,0:04:46.121 argument valid? Take a moment to think[br]about it. It's not obvious is it? Well, if 0:04:46.121,0:04:55.770 you knew the rules for evaluating[br]arguments for validity, you'd be able to 0:04:55.770,0:05:01.734 use those rules to figure out that, that[br]argument is valid. So, that's one reason 0:05:01.734,0:05:05.745 why it's good to learn these rules.[br]Sometimes they help you to figure out 0:05:05.745,0:05:10.142 whether a particular argument is valid.[br]But there's another reason why it's good 0:05:10.142,0:05:14.154 to learn these rules. Even if they don't[br]help you to figure out whether a 0:05:14.154,0:05:18.440 particular argument is valid, they can[br]help you to figure out why a particular 0:05:18.440,0:05:25.317 argument is valid. So, in the example that[br]we just considered about birds and fish, 0:05:25.317,0:05:32.887 it turns out that there's a reason why[br]that argument is valid. And the reason has 0:05:32.887,0:05:40.834 to do wi th the meanings of the words, all[br]and know. Some of the rules that we'll 0:05:40.834,0:05:47.148 learn for evaluating the validity of[br]arguments, are rules that tell us the 0:05:47.148,0:05:54.113 meanings of the words "all" and "no" as they[br]occur in that argument. And so those rules 0:05:54.113,0:05:59.937 explain why the argument about the birds[br]and the fish is valid. And they explain it 0:05:59.937,0:06:05.615 in terms of the meaning of the words "all"[br]and "no" that occur in that argument. So 0:06:05.615,0:06:11.241 that's the second reason why it's good to[br]learn these rules. Sometimes these rules 0:06:11.241,0:06:16.729 help us to figure out why a particular[br]argument is valid. There's a third reason 0:06:16.729,0:06:21.943 why it's good to learn these rules for[br]evaluating validity. And that is that, 0:06:21.943,0:06:27.638 once we know these rules, evaluating the[br]validity of a deductive argument becomes a 0:06:27.638,0:06:34.298 lot more fun. To illustrate, here's some[br]people trying to evaluate the validity of 0:06:34.298,0:06:42.322 deductive arguments without using these[br]rules. Now, here's some people trying to 0:06:42.322,0:06:49.910 evaluate the validity of deductive[br]arguments using these rules. See what I 0:06:49.910,0:06:55.727 mean? The second group is obviously having[br]more fun than the first. So, for those 0:06:55.727,0:07:01.545 three reasons, it's good to learn these[br]rules. They can help you figure out when 0:07:01.545,0:07:07.363 an argument is valid. They can help you[br]figure out why an argument is valid. And, 0:07:07.363,0:07:11.856 it can be a lot fun to use them. So now,[br]time to learn the rules.