Monday, March 9, 2015

Teaching Logic and Critical Thinking

My major teaching for about 25  years was a course called "Principles of Logic." This was really a critical thinking course, offered to a very astute student body at Metropolitan State University: mostly working people who wanted something actually helpful.  I developed a course in dialogue with my students. At the point at which I stopped teaching this course, I prepared an explanation of what I was up to that still seems to me of some interest. I don't know exactly how I would pick the thing up, fourteen years later.



Summary Points on Shea’s Critical Thinking Course at Metro State – July 18, 2001
I have taught “Principles of Logic" for better than 25 years, and sometimes 4 times a year. I have used the basic analytic and critical structure of the course as a logic unit within many other courses. I have quite frequently revised – added and deleted pieces – as I ran into objections or difficulties. I have seldom responded directly to evaluations; the main force for change has been student difficulties of various kinds: when somebody didn’t get it and asked for help, and I found that the way I was explaining the material to that person was in general better than what I had been saying in class. Another important force for change has been work with particularly gifted students who exceeded my expectations and showed me what I might at least try expecting from everybody. It has also been helpful to teach the basic material from a full class in very short sessions: half hour lectures, workshops, etc. Sometimes, people learn things easier if one doesn’t make them out to be particularly difficult.
The first basic insight behind the class came from my days as a teaching assistant at the University of Minnesota, watching other ta’s help with logic. It seemed clear to me that the most useful and important notions were covered in about the first 10 pages of the books they were using, and that inadequate attention to those matters was dooming the enterprise for many students (that is, the enterprise became an opportunity for those who had an intuitive grasp of basic notions to demonstrate that grasp, and for those who lacked that grasp to come to feel ever more deeply stupid. To paraphrase John Holt, “The fundamental point of the American education system is to separate the winners from the losers.”)
I decided that I wanted to isolate a few basic points fundamental to good thinking as I experienced it, and to work those points in many different exercises throughout the entire semester, so that people would get them into their habitual ways of thinking, so that nobody could imagine passing the course without mastering these points. 
(I think that anyone working on a practical critical thinking course would be well advised to look away from the traditional models, away from the whole development of logic since Aristotle, and ask just: “What am I doing, in those thinking episodes I am most proud of? What is going on, in those bits of journalism I want to hold up as examples? What went on, in those moments when I recognized in my kids (or my parents or my neighbors) an intellect to be reckoned with?”)
There are three ideas behind my class:
1.     The most interesting and important arguments to talk about are pretty good arguments that are not valid and cannot in any plausible way be paraphrased as valid. These may be single premise arguments ((1)She doesn’t shovel her walk, so (2) she doesn’t care about the neighborhood.) or multi-premise arguments ((1) He’s lazy and (2) he lies a lot, so (3) he won’t make a good husband.)  About these arguments, I made several decisions:
a.     These should not be treated as truncated or misgrown instances of valid argument. Such treatment is simply wrong every way: pedagogically, theoretically, psychologically, even historically. (I have written about this at frightening length, would be glad to pass that on.)
b.     Although it is tempting to lead people to see the problems with pretty good, non-valid argument (e.g. perhaps the old lady who doesn’t shovel has a bad back), it is a huge mistake to rest with that sort of limited accomplishment. What one needs to make clear to people is: (1) that pretty good arguments are fine bits of technology for investigating pieces of the world (not flies to be swatted) and (2) that an argument to which one can raise objections in principle may be, all things considered, a very fine argument. In other words, one can learn lots even from putrid arguments, and not all arguments that have something wrong with them are putrid.
c.     The notion of fallacy as generally presented is useless, and any useful notion of fallacy would be too complex for beginning students. There are some general ways that people go wrong in thinking, but the standard fallacy names don’t address those, and further, the standard fallacy names tend to catch in their net some pretty good arguments that just aren’t valid. In general, it is not worth the trouble to ask why an argument is bad or to categorize bad arguments. Once one has identified the particular limits or possible problems with a given argument, one has said all that needs to be said. Ranking arguments, pouring scorn on arguments, in general serves no purpose (except in those cases in which one can point to a particular, better strategy that people generally neglect – for example, trying to argue against a policy proposal without first surveying the range of alternative possible proposals).
d.     It doesn’t matter a tremendous amount what one says about the most basic and most important point in the whole course, the meaning and status of the single premise argument. Here are two things I sometimes say:
A.   “When some says “Jones is a crook, so Jones should not be re-elected” that person is claiming that there is a coherent conception of the world within which it is impossible that one of these claims is true and the other false. The person who gives the argument may not have such a conception in mind, may have several such conceptions in mind: the claim is just that there is such a conception. To put it another way: if you make use of your best rational faculties in understanding the world, the picture that results will be one in which these two claims are both true.”
B.    “When someone says, “Jones is a crook, so Jones should not be re-elected,” that person is playing a kind of conversation game, making an opening gambit that amounts to this: “There is a bridge of necessity between these two claims, a way in which the first makes the second necessary (the force of the argument). You (the listener): build that bridge!”
Both of these statements contain some mystical entities. The second contains mystical entities that look like those in Newtonian physics, forces and necessities and such. It doesn’t matter. This whole subject is somewhat mystical, and not to be belabored. If one tries to chase out the mysticism by opting for some conception of a system of rules of inference within which these transitions (after much processing) can be said to be provable, one will make the whole process of learning logic needlessly cumbersome and distant from ordinary discourse, and one will really gain nothing much, ultimately, since the same sorts of problems will come up again with respect to inference in the formal systems. 
e. Points about meaning and unclarity and ambiguity are treated pretty lightly and not allowed to intrude into argument criticism. When someone says, “That premise is ambiguous,” I respond, “Since you don’t have the opportunity to ask the author what he/she means here, make your two best guesses about what is meant and state those as your interpretations of the premise, and then evaluate the argument on each interpretation.” I don’t go looking for problems of ambiguity and unclarity, and I don’t develop a critical vocabulary for naming such problems. When they come up, I try to find a way to continue thinking about the argument, despite the uncertainty about meaning.
2.     The fundamental realization that people need to make in order to cope with what is thrown at them is that argumentative prose has structure, that is, one thing depends upon something else, or multiple somethings else, and those in turn depend…. This realization is opposed to confronting persuasive prose as a sort of undifferentiated blob, to which one responds gestaltishly, the way one responds to a hamburger hotdish. This realization that one needs to read or listen for structure is both elusive enough and important enough to require most of our time, for most of the semester. I begin the class by defining a set of simple ways that claims can be argumentatively related to other claims, and then I spend the whole semester getting people to say, for some carefully crafted reconstructions of arguments from the popular press, how exactly those structures are used to glue together complex, multi-stage arguments. Most of the work of the course is figuring out how to draw a picture (according to some carefully defined rules) of the relationships among claims in arguments.
This diagramming exercise is important for some other reasons as well. Students need some repeated exercise at which they gradually get better. It doesn’t matter tremendously what they do, but the sense of steady progress is important pedagogically.  Proofs have had that role in geometry and formal logic. My diagrams fill that need in a way that seems to me particularly sensible. The main point of the right sort of exercises is not to directly impart skills (as if people were going to meet these exercises on the street) but rather to call forth a broad range of skills and attitudes of the right general sort. A second goal is to enlist students in the project of the class as their own project, by showing them ways of making measurable progress, criticizing their own errors, explaining things to other students using the vocabulary of the class, assuming its conceptual structures.  A third goal of the diagramming exercises is to counter in some meaningful way the widely popular idea that judgments on all sorts of ethical and political matters are simply subjective.  One needs something one can not just criticize but count as wrong, take off points for. The whole apparatus of objectivity gets generated around argument diagrams: some people get it more quickly than others, they make progress, work helps them to make progress, laziness results in lack of progress. And that makes a performative point about the enterprise: there is something to be learned here that is not just a matter of pleasing or second-guessing the instructor.
3.     The standard moves of formal logic are treated as specialized technology within the much broader field of ordinary argument, and they are treated selectively. Here’s the list: disjunctive syllogism, modus tollens, hypothetical syllogism, universal generalization, modus ponens, combinations of modus tollens and modus ponens with hypothetical syllogism and combinations of disjunctive syllogism with modus tollens. To all of these I give my own names, since Metro students are not by and large going to be taking advanced symbolic courses. I also sneak in a modal version of modus tollens without making huge fusses about it: (1) If Jones moves now, he will destroy his son’s mental health. But (2) heaven forbid he should destroy his son’s mental health, so (3) heaven forbid he should move now. What I say about the forms of valid argument is just that these are particular cases of premises working together to support a conclusion, peculiar in that (a) at least one of the premises needs to be there for there to be any argument at all to the conclusion (Compare: “(1) Jones is sick and (2) Jones smells bad, so (3) Jones should not go to the party” with “(1) Either Frank will go or Joe will go. (2) Joe won’t go. So, (3) Frank will go.”) and (b) if the premises are true, one is simply forced (as a matter of grammar) to believe the conclusion. That’s all way too simple, but it is I think a simplification at the right level; it helps people get on, and it won’t trip them up too badly if they have the talent to ask later: “But what is this about “matters of grammar”?”
The moves of formal logic are treated as useful strategies for putting one’s thoughts in order, for generating insight, and for presenting thoughts in public (things to think with and also things to present with) . They aren’t given any special general precedence over single premise or multi-premise ordinary arguments except as appropriate tools for some purposes. I use these things in two ways: (a) I ask people to construct many arguments in these forms. Sometimes, I give them a conclusion and ask for an argument (e. g. “Construct a chain plus working backwards (hypothetical syllogism plus modus tollens) to the conclusion: Joe should eat his vegetables.”) We sometimes do this sort  of exercise going around the class. I may also ask them to construct argument on either side of some controversy (e.g. “Should my son’s curfew be 11 or midnight?), placing these forms into the mouths of the debaters. (b) In the diagramming exercises, arguments of these forms are prominent, and the diagramming exercise goes very much better if people recognize these forms and strategies. Thus, in the course of reading for structure, they see plausible uses of these forms over and over and over again,  hundreds of times. Throughout the treatment of all this, I try to keep saying that the same basic argument idea can be put in many different ways, can be fitted into one of these funny forms, or presented as an ordinary argument. The forms may suggest some interesting manipulations of ideas, may allow for some constructions that help make progress. They may also obscure the thought, over articulate the thought.
These three points account for the theoretical spine of the course. One way I summarize it all: “The motto of this course is: divide and conquer. First, we have to divide understanding an argument from critically evaluating it; we must understand a structure before we can say what might be wrong with structure. Then, within criticism, we must divide again: the criticism of premises has to be separated from the criticism of connections. Finally, once we know what we think, we must separate the order of presentation that seems natural to us, as people who have thought this all through, from the order that will be helpful to some audience relatively new to the topic, or coming to the topic with perspectives and biases (the separation of logic and rhetoric).”
Toward the end of the course, I ask people to do a fair argument presentation paper in a particular format. The idea of this is to give people a practical, helpful resource in their civic and professional lives: a simple structure for writing a followable argument paper. This is not really in some ways part of the course: it is more a advanced composition add-on intended to make the course more valuable to people. I frequently consider ditching this feature in favor of more intense analytic and critical work.
Ad Astra, Excelsior, “So What Else is New?”:  I have  been teaching this course long enough that it has started and is continuing to bore me silly, and I feel ever more what is being left out. One problem: we take arguments in little discrete chunks: we do not go after the full range of considerations in a long controversy – say, for example, the dispute about whether Ashcroft should be confirmed. Further, I don’t make much effort to educate people about how things are in the world (beyond a commitment to derive my examples almost always from real print sources). It would be possible to give people a basic map of the facts that human beings have to contend with these days, in the course of teaching argument structure and criticism. Also, I don’t do as much as I would like with getting people to care about something before they argue about it: we need to see what sanctions are doing to Iraq, before we get all tied up in how to manage Saddam and still not kill millions of children. Another problem: I don’t make sophisticated use of web resources, particularly the amazing access to broad ranges of fairly authoritative editorial and commentary pieces.
Finally, there are some very powerful things to say about what goes wrong in argument (the topic generally treated under the heading of fallacies) and gradually those notions should be kneaded into the course.


   







 

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