I once saw a cartoon in which one guy says to another: “I’ve made a careful study of logic and it’s all a bunch of hooey.” It’s really impossible to do without logic so we might as well try to get it right. “Deductive” logic is what is usually taught in college classes and involves understanding syllogisms and the like. Very simply put, a deductive syllogism involves a major premise, like “All dogs are sweet”, followed by a minor premise like “Bozo is a dog”, and a conclusion “Therefore Bozo is sweet.” Of course, everything depends here on to both premises being correct. If both premises are accurate, then the conclusion follows conclusively. If even one is not, then the argument is said to be invalid.
“Inductive” logic is a horse of a different color. It is the bases of scientific investigation and technically can never provide absolutely conclusive results, only varying degrees of probability. Here the most interesting thinker to follow is John Stuart Mill who in the early 1800s was an outstanding and very influential thinker. In addition to his work in ethical theory as the “inventor” of Utilitarian moral theory, Mill wrote A Systems of Logic in which he laid out the basic principles behind inductive logic, the basis for all scientific reasoning based on high probabilities. The methods are five and they are usually referred to as “Mill’s Methods”. The focus is usually on determining the cause of a given phenomenon.
The first of Mill’s methods is that of “Agreement”. If there is agreement as to a common relevant circumstance among all or almost all of the instances involved in a given phenomenon as to a common relevant circumstance then that factor is the cause of the stated effect. For instance, if everyone at the dinner ate the pie and everyone got sick, the pie can be called the cause of the effect, namely their sickness.
The second of Mill’s methods is called the “Method of Difference.” If two instances of a phenomenon have every characteristic in common except for one, then that one is the cause of the difference between them. Here if everyone except for one guest ate the pie and got sick, and that guest did not get sick, the pie can safely be called the cause of the sickness.
The third of Mill’s methods is that of the combination of Agreement and Difference. By combining the first two methods one can reinforce the findings of each, making one’s conclusion doubly strong. This double method is often used in determining the caused of various complex diseases. Indeed, it is necessary.
The fourth of Mill’s methods is called the method of “Residues”, or ‘leftovers.” Here we are asked to isolate all the phenomena that all instances of the phenomenon in question share, and then any remaining factor will be the cause of the given effect. Thus, for instance, by subtracting the weight of a truck from the weight of the truck AND its cargo we can determine the weight of the cargo. This method can be used to determine the cause in a given single case and does not require multiple instances.
The fifth of Mill’s Methods is called the method of “Concomitant Variation”. This method is appropriate when the various phenomena involved cannot be completely removed from their respective instances. This method allows the scientist to track the degree of differences between the causal instances involved. When the degree of variation between the proposed cause and its effect remains constant, then we can say that the former is the cause of the latter. This method is used a lot with astronomical and biological phenomena where the key factors cannot be removed.
In all of the above cases it must be remembered that scientific explanations of causation are always only probable at best. Inductive knowledge, unlike deductive knowledge, is always open-ended, or more or less probable. Such is the logic of logic. Deductive logic works within “closed systems”, as it were, while Inductive logic works with respect to “open-ended” systems. The former, if done correctly, offers us “air-tight” reasoning, while the latter can only provide varying degrees of “likelihood.”
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2 responses to “Logic of Logic”
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Well, of course logicians and scientists have to concur on a fairly fixed meaning for the terms used in a logical argument. That is precisely the rub in logic. Terms are often metaphorical no matter how “objectively stringent” we try to understand them. They have different meanings in different contexts and can have different allocative and illocutive values. They are always “fuzzy”, so no need to be too fussy about logic. Even logical rules, such as that of identity, can be hard to grasp (how much of an entity has to be the same as another in order to be identical?). Logic has its uses in the presumption of the ordinary (even if slippery) meaning of terms and can help organize a term paper; but truth is not promised in its deceptive clarity. As Wittgenstein said, the meaning of a term is its function, not its reference.
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Really well put Dr. Jenkins !!! even for a “youngster” :O) Paz, jerry
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I was born in the middle of the Great Depression, lived through World War Two and the Viet Nam debacle, and survived a string of Republican silliness, including the worst President America has ever seen. All through these most difficult of times America has muddled through and has come out stronger than ever. Because of all this I have become a true believer in the American idea, in Democracy for the people. In spite of all its troubles around the world, the idea of people deciding for themselves seems to have caught on with almost everyone.
My Grand-Dad was elected City Treasure of our small town on the Roosevelt ticket in 1932 and continued in that position until 1944. My Mom worked hard in the restaurant business throughout the Depression and eventually became a huge success. During those years we tracked the advance of our troops across the Pacific and through Europe on wall maps and listened regularly to FDR on the radio. We observed the rules laid down for the war effort, including gasoline rationing, food shortages, and victory gardens.
Surprisingly enough, the war effort enabled us to pull our way out of the depression and even help both Germany and Japan rebuild their countries. In short, America came out of its most difficult times stronger, both physically and spiritually, than it ever had been. Of course, since then it has continued to be challenged by different enemies and its own various indifferences and short-comings, most notably its inability to completely shake off the evils of racism. In spite of these difficulties we have for the most part defeated Communism and various stupid efforts to take over our government, including Trumpism.
All of these experiences and realities have led me, in my 90th year, to have a great deal of confidence in America, both as an idea and as a political reality. In spite of all these challenges over the past ten decades we have managed not only to survive but to prosper. Of course, there are still many challenges out there – there always will be- but America has proven to be both an extremely powerful idea and reality. If we can continue to repeal and repel the extremists of the “far right” the short-term future looks rather bright.
Throughout these years the idea, indeed the reality, of the democratic way of governing has grown and spread throughout the world. Of course, there are those countries that only pretend to be democracies, but they generally are short-lived. In addition, the way we implement the idea of capitalism often causes difficulties around the world, we generally have found ways to curb its excesses. We still have a long way to go with regard to combatting sickness and poverty world-wide, but some important progress has been made and more is in the offing.
As near as I can tell, the Trump years brought us about as close as possible to our own demise. Although we have still not recovered completely from that horrible debacle, we are finally on our way. The thing about America is that no matter how bad and desperate things seem to be, the American people come together to identify and irradicate, or at least nullify, the threat. When I was a little kid what we today call “The Superheroes” were invented. Actually, Superman and I are almost the same age.
These characters, all the way from the Green Hornet and Blackhawk to Flash Gordon, Batman, and Wonder Woman in a funky sort of way symbolize the power behind both the American dream and the American reality. They always show up in the nick of time and manage to conquer the bad guys. Sure, its all a fantasy reality, but in some strange way it symbolizes what we call the American Spirit. Of course, this seemingly naïve view of things may prove to be wrong. But I wouldn’t bet on it !!Leave a Reply
4 responses to “Born in the USA”
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Seymour Martin Lipset wrote about that “balance” in America in “The First New Nation” with the notion of the pendulum swinging from left to right and back again. He argued America is somewhat self-correcting. Our two-party political system probably has contributed to that. I hope you and Lipset are correct about this but the past 7 years have been a real challenge. Gerrymandering and corruption are straining this delicate balance and might lead to a breach. The immense inequality and disaffection of the majority of the population add to the problem. And, in the next 30 years, the Eurocentric domination of the whole society will change.
We went to visit Ellis Island in March. Maybe El Paso will be a new Ellis Island in 50 years. Or Tijuana, Aqua Prieta, Nogales??
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You may be right – I hope not :O( Don’ count Uncle Joey out :O) Paz, jerry and Mari
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And now Stan Lee has a whole new panoply of superheroes to symbolize the American ideals of power and the struggle against evil. But he has as many nemeses and heroes. When I left America in 1980, I was shocked by what I experienced even in a brief visit in recent years. The pig-headed, deliberately ignorant, absolute political commitment to lies and falsehoods were beyond my understanding. The polarization of American society was something I had never imagined could happen. I began to speculate that America was headed for civil war or a secession of states into neocon Republican states Vs. the woke Democratic states and the end of the United States. I am still not sure it isn’t going that way. Congratulations on arriving at 90, Jerry. I hope your age is political wisdom.
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Right on, David. I still think we would be wrong to count Uncle Joey out!!! I think (hope) things will settle down once we get rid of the big, dumb, fat guy!!
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