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PROFESSOR: Mendel, check.
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You've got that.
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Section 2.
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Let's talk about Mendel's experiments.
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Mendel is an amazing scientist.
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He said if he's really going to be this analytical person who's going to
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understand the laws of heredity, he's going to design a really careful
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experiment.
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The first thing he does that's absolutely amazing is the most boring
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thing you can do in science and the most necessary.
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What Mendel did was the controls.
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He did the controls first.
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Now what do I mean by that?
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What I mean is that Mendel, if he wanted to breed plants together,
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needed to know what he would expect if he hadn't bred them together.
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So he had to choose a particular plant.
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He had to make it a good choice of plant.
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He had to choose varieties of that plant and make sure
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that they bred true.
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Because in fact, if you took a strain of a plant and kept breeding it and
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breeding it, and you kept getting variations without crossing into
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anything, that was a pretty poor choice, wasn't it?
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So Mendel went to the market.
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And he came back with 34 different varieties of peas.
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34 varieties of peas.
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And he bred them to see if they transmitted their traits faithfully.
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And what I mean by he bred them, I mean he spent two years breeding them
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to show that they transmitted faithfully.
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And he picked about 22 that were really clearly faithfully
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transmitting.
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Two years doing the controls to set up the experiment.
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Wow.
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But had he not done that, it might not have worked very well.
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And by the way, he picked peas for good reasons, too.
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Peas didn't take up that much space in the monastery garden.
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I've actually been to the garden of Mendel's monastery in Brno.
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It's a pretty cool place.
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And there's not that much space in the middle of the monastery there.
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Peas don't take up much space.
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And peas have this other features where the fertilizing organs are
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enclosed in a kind of closed keel.
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They self-fertilize, usually.
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And there's no risk that pollen from some other plant is going to get in
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there if you don't want it to.
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You can open it up and put pollen in.
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But it's an ideal plant for doing genetics because you don't randomly
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get much cross-pollination.
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So he does that.
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And for example, he has one trait--
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seed shape.
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Some seeds are round.
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Some plants give seeds that are round.
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And some give seeds that are wrinkled.
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And he breeds, breeds, breeds, and shows that round ones
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continue to give rounds.
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And the wrinkled ones continue to give wrinkles.
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He looks at other traits.
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He's got roundness and wrinkled, green and yellow.
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He's got pod color--
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here, pea color, pod color.
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He's got the shape, whether they're inflated pea pods or
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constricted pea pods.
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He's got whether the flowers are purple or white, whether the flowers
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are at the top or along the middle there, the stem length.
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These are seven traits that he studies intensely in his peas.
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And he shows that they all transmit completely faithfully when you just
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self-breed the particular strain.
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All right.
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Then what he does is after doing the controls, he sets up an experiment.
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The experiment is he crosses rounds by wrinkles.
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And what does he see?
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He sees that in the next generation, all of the progeny are round.
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We'll call this the F0 generation and the F1 generation.
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F stands for filial.
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Some people like to call it P0 for parental.
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I call them F0, F1.
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In the F1, all the seeds were round.
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They weren't puckered slightly.
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They weren't in between rounds and wrinkled.
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They're every bit as round as the round parent.
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No blending inheritance here.
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It didn't blend.
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It was a total domination.
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It was completely round.
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So you might think, well, maybe somehow the wrinkledness totally
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disappeared.
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But then Mendel does the next bit of his experiment.
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He takes round, wrinkled, as we said, F0, F1, gets the round.
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And then he selfs those first generation plants.
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He lets them mate with themselves.
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They self-fertilize.
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And what he sees in the next generation is some
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rounds and some wrinkleds.
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Now that was stunning, because the wrinkled was completely gone.
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There was no wrinkled.
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And yet it reappeared.
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The first generation, wrinkled totally disappeared.
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But it hadn't gone away.
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It was just hidden somehow.
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And wrinkled was still there.
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And it came back every bit as wrinkled as the parental wrinkled strain.
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And he could compare it, because he had the parentals.
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And he knew, from breeding many generations, that that was the case.
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That's stunning.
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That alone says that inheritance of this trait is quantal.
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It's an all or none kind of thing.
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Very different than this blending stuff.
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But Mendel does one more thing that makes my heart beat fast.
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He counted.
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He didn't just observe qualitatively.
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He counted.
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And what did he see when he counted?
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STUDENT: Ratios.
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PROFESSOR: What ratios?
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3 to 1?
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He saw 3 to 1?
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STUDENT: Probably 9 and 6.
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PROFESSOR: Well, in fact, exactly.
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He didn't see any of those things.
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What he saw was that the rounds were 5,474.
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And the wrinkleds, there were 1,850.
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That's what data look like.
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That's not what textbooks look like.
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But that's what data look like--
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you see 5,474, 1,850.
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Then he has to go beyond just the counting and say what's
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that mean to me?
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And what it meant when he checked the ratio was not three to one.
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Mendel never observed a 3 to 1 ratio anywhere in his paper.
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He observed 2.96 to 1.
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STUDENT: Our bad.
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PROFESSOR: Well, but wait a second.
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Wait a second.
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Why is 2.96 the same as 3?
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Because in fact, elsewhere he saw 3.15 to 1, and some other things.
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And it takes an active inspiration to say that 2.96 in that experiment and
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3.15 over here, and a 3.03 over there is somehow trying to be 3.
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There's an act of science in that to say I'm expecting a regularity.
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I want a regularity.
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I'm trying to see a regularity.
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And that regularity, somehow, is 3 to 1.
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Now he then does something else.
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What Mendel does as his next act is he makes a model.
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He says how can it be that my wrinkled trait totally disappears and then
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reappears, and it's in this funky ratio of 3 to 1?
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And he observes that roughly 3 to 1 ratio for everything.
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So he makes a hypothesis, a model.
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It's a really important thing in science.
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Make an abstract model.
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Mendel didn't know what was going on.
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He said, I don't know.
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I'm going to make up a model.
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And his model was this.
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He said every organism has two particles of inheritance, two
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particles of inheritance.
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This round thing has a certain particle of inheritance, actually two
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copies of a particle of inheritance that make it round.
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He has no idea what these particles of inheritance are.
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He doesn't know from DNA.
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He doesn't know from proteins.
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He knows a lot from peas, that's it.
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And the wrinkleds, they have a particle of inheritance of this same
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type, the shape controlling particle of inheritance.
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And it's a different flavor, a different kind.
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It's not a capital A. It's a lower case a.
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It's not a big A. It's a little a.
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Now he's just making this stuff up.
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He's saying, I'm guessing that there's a big A, a big A here, a little a, a
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little a here.
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And when you cross it together, each parent contributes one of what it's
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got on offer.
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And if this guy has got too big As, the only thing you can offer is a big
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A. And if this guy is too little As, the only thing it can
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offer is a little a.
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And it's kind of random.
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But it doesn't much matter there.
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And that plant there has a big A and a little a.
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And that's round because why?
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Why is big A going to make it round?
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STUDENT: Dominance.
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PROFESSOR: No.
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No, big A makes it round, because that's the only way it's
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going to fit the model.
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He doesn't have any prior expectation that the capital letter A is dominant.
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He's saying, to explain this, the only way I can explain it is if the big A
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is somehow dominant and the little a hides behind it.
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The word recessive means to recede, to hide behind, to go behind.
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So the little a recedes.
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But he's just trying to come up with a model that fits the data.
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Now though, he says how could it be that in the next generation I would
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see little wrinkleds come back?
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Well, in the male gamete, I either am going to be contributing a big
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A or a little a.
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And then in the female gamete, a big A and a little a.
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And so there are four possible combinations that
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could appear randomly.
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You could have a big A, big A received by one of the progeny, a big A, little
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a, a little a, big A, or two little As.
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And what would this give?
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This would give a round, because that's what we
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assumed at the beginning.
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This would give a round, because we had to assume that.
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So now we're applying what we had before.
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This would give a round.
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And that would give a wrinkled.
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So if we know that big A, big A is round, big A, little a is round and
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little a, little a is wrinkled, and if we assume that these little particles
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are distributed randomly, it explains the 3 to 1 ratio perfectly.
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That's exciting.
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He's perfectly explained that ratio.
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What do you do then, scientifically?
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STUDENT: Do it again.
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PROFESSOR: Well, he did it again.
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He actually did it for seven different traits.
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And he solved for seven different traits.
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He'd gotten this 3 to 1 ratio.
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His model explained all of them.
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And so what a scientist does, then, is publishes, wants to write it up.
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You want to write it up.
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And how does a scientist write something up?
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You get out your laptop.
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Mendel gets out his laptop.
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And he tries writing this thing up quickly.
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And he's going to send it off to a great journal, a scientific journal.
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Today you would send it, say, to Nature in London.
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So you're going to send it to Nature in London.
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So Mendel writes up this paper describing these amazing results.
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I did these controls for two years.
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I crossed them.
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I got this.
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I got that.
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I got this.
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Writes it all up, says here's some laws of inheritance.
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I have a model that perfectly explains the data, and emails it off
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to London to Nature.
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What does Nature do in the scientific process?
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Sorry?
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What does Nature do when it receives a paper?
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STUDENT: Send it out.
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PROFESSOR: They have to send it out for what's called peer review.
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They want scientific peers to review the paper to see if it holds up to
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scrutiny, because the editor in London isn't going to necessarily know
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whether it's good or not.
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So you send it out to peer review.
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So they send it out to peer review.
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And they send it to you.
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As the peer reviewers, should Nature accept Mendel's paper?
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STUDENT: So many trick questions.
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PROFESSOR: I mean, this is my hero.
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How many of you vote to accept Mendel's paper?
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OK, we've got some takers for Mendel's paper.
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Who's going to say no?
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We have all these conscientious abstainers here.
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Wow, you don't want to take a stand here.
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What's the problem?
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STUDENT: I want him to test his model.
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PROFESSOR: Wait a second.
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This model fits the data perfectly.
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STUDENT: But then couldn't you say, cross your--
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so using your model here.
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PROFESSOR: But the model fits the data perfectly.
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STUDENT: True.
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STUDENT: What about someone else's?
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PROFESSOR: Well, he kind of had the data when he made up the model.
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So maybe he tried 14 models until he got a model that fit the data.
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And maybe you're not so surprised, because it's sort of an ex post facto
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model, they might say.
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Of course the model fits the data.
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You made up the model to fit the data.
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Why should I be so impressed?
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So you ask instead--
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STUDENT: Test the model.
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PROFESSOR: Test the model.
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Fine, your model explains the data.
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A lot of good that does in convincing me.
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Now go make a prediction based on your model that would not have otherwise
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been obvious.
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That's what you have to do in science.
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The Greeks could sit around and philosophize about models.
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Models are powerful if they point you to things you wouldn't
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have otherwise known.
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So you say, Mendel, make some predictions based on this model.
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So let's take a look.
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Give me some predictions.
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Yeah?
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STUDENT: What happens when you cross two hybrids?
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PROFESSOR: Well, actually, what happens even if you just take these
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guys and self them?
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Selfing's easier.
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If you just self-cross them, what happens?
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What happens to this guy?
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STUDENT: It stays the same.
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PROFESSOR: So all of its progeny, all the progeny will be round.
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If I self this guy, what do I see?
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All wrinkled.
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Which generation are we talking about here?
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This was the F0, the F1, the F2.
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So now we're down here in the F3 generation, produced by selfing.
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All rounds, all wrinkled.
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But what about these guys if you self them?
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You're going to see a mix of three rounds to one wrinkled.
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Now does Mendel know by looking at the peas whether they're big A, big A or
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big A little a?
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They all look very round.
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But what will you see?
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You'll see that if I take the rounds and I self them 2/3 will
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give a 3 to 1 ratio.
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And 1/3 will only give rounds.
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That is a pretty wacky prediction that you would not make in the absence of
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this model.
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That's a pretty wacky prediction.
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Mendel does that experiment, and it works.
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Mendel shows that in the third generation.
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That's exactly what you get.
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He can't tell you which ones that's going to be.
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But of the rounds, 2/3 actually are carrying this little hidden particle
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and give 3 to 1s, and 1/3 are not anymore.
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And Mendel actually goes further and does it even more generations.
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So what he does here, which is remarkable, is he makes a prediction.
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Actually there are other predictions you could make.
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Let's try a prediction.
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That's prediction number one.
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He also does prediction number two.
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Mendel says, suppose I take this F1, big A, little a from the F1, and I
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cross it back to a wrinkled.
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What's wrinkled, little a, little a?
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Little a, little a.
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Now what will happen in the next generation?
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Do I get 3 to 1 again?
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I don't get 3 to 1.
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Why is that?
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Well, which of the two particles do I get from this parent?
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Half the time I get an A. Have the time I get a big A. Half the time I
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get a little a.
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What do I get from this parent?
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Always little a.
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So half the time I'm getting this.
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And we know that's round.
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And half the time I'm getting this.
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And we know it's wrinkled.
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So we know that instead of a 3 to 1 ratio, he's going to
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see a 1 to 1 ratio.
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That's another prediction.
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He didn't see 1 to 1s to start.
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He saw 3 to 1s.
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But based on the model he made based on these 3 to 1s, he now predicts a 1
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to 1 is going to happen.
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And bingo, that's what happens.
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Pretty cool.
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So Mendel's predictions hold up remarkably well.
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All right, that's Mendel.
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We have in your resource box and on the web we have Mendel's original
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paper translated into the English.
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And it's wonderful to just go back and read Mendel's original paper.
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It's a little funky.
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I'll warn you in advance that Mendel actually uses big A, little a for
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those plants that we were talking about.
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But when something is big A, big A, he unfortunately just writes big A. He
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doesn't use two As, even though he's talking about two particles
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that are the same.
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So if you actually go to read it, you're going to find that funny bit of
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notation there.
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But otherwise, it's a totally readable paper, even today.
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Anyway, that's Mendel.
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OK, time for a quick break.
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Think about what we've just talked about.
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And answer this question about simple Mendelian crosses.
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