Wednesday, October 2, 2013

What is Logic Anyway?

              "Logic," says Sarek to his son Spock in J. J. Abrams' first Star Trek film, "offers a serenity Humans seldom experience: the control of feelings, so that they do not control you." This, and other similar quotations from Star Trek, have provoked me to speak up on this subject. Throughout Star Trek, the Vulcans always insist that one must be logical, and I agree. But what the heck is Logic? Since no Vulcan ever offered a definition, I will have to provide one myself, to the best of my ability. Therefore, I have four questions to ask: (1) What is Logic? (2) Of what is it composed? (3) Where do the laws of Logic come from? (4) What is Logic's purpose?
             
              (1) What is Logic? Logic is not an easy concept to define because it includes many things, but I will do my best. Logic is the tool that the mind uses to think, and often, to gain new knowledge. It is the science of coming to a proper knowledge of concepts, making correct judgments about them, and reasoning validly from two or more premises to a conclusion. We all do these things all the time, no matter where we are. After all, we human beings are always thinking.                

              (2) Of what is Logic composed? Logic is divided into two main parts: Formal Logic and Material Logic. The former is involved with the structure of argument apart from the content. The latter is primarily concerned with content, the statements of argument, and not with the structure. Formal Logic is divided into deduction, which begins with universal principles and reasons to particular conclusions; and induction, which reasons from particular things to universal conclusions. There are a couple more divisions under deduction, but suffice it to say that under deduction lies the classical syllogism in all its forms, both categorical and hypothetical, and it is with these forms of reasoning that a Traditional Logic course is particularly interested.
              As I said above, Logic is divided into two main parts, Formal Logic and Material Logic. The second division, Material Logic, is quite a bit different from the first. Material Logic includes the Ten Categories, the Five Predicables, Definition, and Division (by which the concept we are now exploring is divided). All the things listed above help immensely in understanding concepts.
             

              (3) Where do the laws of Logic come from? The laws of Logic are some of the most fundamental laws in the universe, part of the structure of reality that God has designed. In fact, some of them are so fundamental that we cannot disobey them even if we want to. The law of identity, for example, is that everything is what it is. If you try to disobey this law by saying that things aren't what they are, then you are still assuming that they really are what they are by the very act of saying that they aren't what they are. But there are also many other laws of Logic (many of them formulated by Aristotle). For example, there are certain laws that govern the categorical syllogism, the hypothetical syllogism (in all its forms), the definition of terms, and the division of concepts.
             

              Finally, (4) What is Logic's purpose? Logic's ultimate and highest purpose is the discovery of truth. This truth can be universal and eternal, or it can be particular and temporary. Temporary truths are sometimes very important in our daily lives and sometimes useful. Eternal truth, however, is far more important, and it is toward this truth that we should look more.
              I hope this article has been informative. Unfortunately, I don't have time to write more, so I'll just close here.

Monday, September 23, 2013

Two Opposing Themes

         A few days ago, I saw the new Star Trek Movie Into Darkness. Of all the things that were in this movie, two opposing themes stuck with me. (WARNING: if you have not seen Into Darkness, then DO NOT READ ANY FURTHER. I'm about to spoil the movie.)
         The first theme that I noticed concerned the value of life. At many times, in many places, and in many ways, the filmmakers brought attention to the fact that life has worth. In the opening scene, Spock almost gave his life for the natives of a world that was about to be destroyed by a volcanic eruption. His comrades, in desperation, broke the prime directive so that they could beam him to safety. By so doing, they demonstrated that the many are sometimes willing to go to great lengths to save just one friend from trouble.
         Later on, a Starfleet officer killed several of his superiors, and escaped to the planet Kronos. Captain Kirk was therefore ordered to hunt this man down and kill him (or rather, Kirk requested permission to go). When Spock heard about this order, however, he objected that it is entirely unjust to kill a man without a trial. Although Kirk at first argued with Spock over this point, he eventually relented and decided only to capture the man and bring him back to Earth for court martial.
          In yet another instance, the Starfleet officer (who happened to be Khan) was about to be blasted to bits by special torpedoes. Khan, perhaps to the slight confusion of Kirk and Spock and Uhura, asked how many torpedoes they had. "72," they respond. Then, oddly enough, the villain laid down his weapon and surrendered. Only later was it revealed that these 72 torpedoes contained Khan's 72 fellow genetically altered humans. Khan had surrendered in order to save their lives.
          Sometimes, the characters were willing even to preserve the lives of their enemies. When Khan demanded that Spock lower his shields so that he could beam out his 72 precious torpedoes, Spock complied. But he had armed the weapons before they were transported; the torpedoes exploded, heavily damaging Khan's starship. When Kirk had heard the news he objected to the massacre of Khan's crew. But Bones said, "Spock's cold, but he's not that cold." It turned out that the doctor had emptied the torpedoes before returning them to Khan.
           Of course, there is one last story to tell concerning the value of life. At the end of the movie, Kirk saw that the only way to save the enterprise from a collision with Earth was to fix the warp core--but if he did, it was almost certain that he would die. And so with one last redeeming effort, Kirk gave his life to save his crew.
           That was the first theme that I noticed. The second was very different. From early on, it was clear that this was also story about revenge. Kirk was eaten up by a desire to avenge himself on Khan, who had murdered Admiral Pike, the only father-figure Kirk had ever had. Kirk did decide to get Khan a proper trial, but he hated Khan ever after. Instead of murdering Khan, Kirk severely beat him up before taking him up to the Enterprise as his hostage.
           Disappointingly, Spock also went down the path of revenge. After Kirk died, Spock hated Khan vehemently. He thought (illogically--hey, I thought Vulcans were logical!) that Khan had murdered Kirk--or rather, he blamed Kirk's death on Khan. (This was unreasonable of him. Kirk, and Kirk alone, had chosen to die.) When he had the chance, he went to beat the brains out of Khan, just as Kirk had done before him.
           In conclusion, I find that these two themes, put together in the same movie, are quite contradictory. Even as they protected the lives of those around them, some of the characters ignored the fact that revenge goes against the sound principle that seemed to have been upheld through most of the movie, the principle that all life is valuable. The presence of this contradiction was only brought more to home during Kirk's speech at the end of the movie, where Kirk acted as though revenge was wrong (even though, for the last two hours, the filmmakers had been portraying revenge in a different light). What are we to make of this contradiction?
          I hope this was thought provoking.
             

Monday, September 9, 2013

Latin--Why??

            Over the past year or so (maybe longer), I have been studying Latin using the Henle books provided by Memoria press. Now that I've gotten this far, I can actually orally construct some sentences on the spot with which I can say something useful and meaningful, so sometimes I walk around speaking the language. But I have two major problems: the first is that I have no one around me with whom I can speak Latin; the second is that some of the people around me have a deep-seated distaste for the language. Perhaps I cannot get near people who do speak Latin, and perhaps I cannot convince those who hate Latin to like the language, but I think that I really must say something in defense of it. Therefore, I will deal with these following points: (1) the claim that Latin is a dead language, (2) the apparent uselessness of Latin, and (3) the "impossibility" of learning Latin.
            (1) I have several times been met with the (apparently infallible and irrefutable) claim that Latin is a dead language. But what, may I ask, do people mean exactly when they use this term? There are two possibilities: either (a) "no longer used as a vehicle of communication", or (b) "no longer identified as the language of any country". If people use (a), they simply do not speak the truth. A minority of people worldwide still use Latin. If people decide on (b) then they do speak the truth; Latin is no longer the language of any country, and this has been so for centuries. But a look back at history makes even this definition of the word "dead" sound a little ironic, for although Latin was not the language of any country in years past, it was universally used and understood by all the scholars in Christendom. Sadly, that is not the case today, but it was so once.
            (2) I think that something needs to be said about Latin's uses, it's usefulness. It is useful, though it may not appear to be so, and though "usefulness" is not the only thing we should consider here. For what reasons should people study Latin? There are three kinds: (a) in order to learn grammar, (b) in order to learn word roots, and (c) in order to read the classics. These three reasons are not mutually exclusive; one can learn Latin for all of the above reasons. I'll deal with the first two; I will have to deal with the third some other time, though it is even more important than the other two.
            (a) The first reason to study Latin is to learn the structure of language. But why study Latin grammar? Why not English grammar? The answer is simple: Latin is an inflected language, which means that almost all of its nouns change form to show their function in a sentence. English rarely does this, except with personal pronouns, relative pronouns, and possessives. This absence of inflection, along with many inconsistencies, makes English grammar subtle and difficult. On the other hand, Latin grammar is very consistent, and this makes it easy to learn--if you only take the time and trouble (and if you have a good curriculum).
             (b) The second reason to study Latin is to learn word roots. The vocabulary of the English language (and of many other languages for that matter) relies heavily on that of Latin. Latin vocabulary is so pervasive in English that every other word is of Latin origin. If you know your vocab, then in order to understand a particular word, all you have to do is pick it apart and translate it.
             (3) Now I come to my last point: the "impossibility" of learning Latin. From some conversations with my friends and with others, I gather that there is a lot of frustration attached to the learning of this language. Not only that, but I'm certain that I know what causes this frustration: a lack of grammar. A couple friends of mine, when I asked them, described their Latin courses to me, and one thing seems to be certain: they were either stuck with courses that taught little or no grammar, or they simply did not want to learn the grammar that was being taught, or the course required them to dump immense amounts of grammar into their brains in too short a time. Whatever the case, they were not learning the grammar. But how else will anyone learn the language? When learning how to play a game or play an instrument or argue a point or write a book, what must first be done? One must learn the rules, of course. Otherwise, one will be totally lost in the subject and not understand its structure. Why shouldn't this principle apply to Latin as well? I think that some people, sadly enough, would prefer to learn the language without learning the grammar--but this would be a grave mistake, and would lead to all sorts of frustration later on. Latin grammar must be learned first and learned well, and constantly drilled and memorized--not too quickly, but at a pace at which a student can slowly master all of it. This process of learning the grammar takes time, but in the end it all pays off very well. I myself am a witness to that fact.
              I hope that with this article I have sparked some interest in this apparently dead language. It is a language that I believe deserves to live on, to be spoken, and to be appreciated. I hope that many others think the same.      
     

Monday, July 15, 2013

End or Means?

John: Hey, Socrates, wait up!

Socrates: Eh? Oh hello, John.

John: (Out of breath) Hi, Socrates. Could I join you on your walk?

Socrates: Certainly. You did not have to run so fast to catch me, you know. I like to walk slowly. This is a beautiful place.

John: Yes. Sometimes I realize that when I bother to come outside and walk. These trees are magnificent. So, what's on your mind?

Socrates: Nothing at present; I'm simply enjoying myself. Still, that could change quickly. You know how I am always concerned about philosophical inquiry, the search for truth.

John: Do you mind if I ask you a question?

Socrates: No. Ask.

John: One of my teachers once made the claim that a means is more important than an end.

Socrates: Really? On what did your teacher base this claim?

John: She told us the story of three hundred Chinese students that were shot for their Christian faith. She said that their means was more important than their end. I disagreed with her when she said this, and I thought--and still think--that she was wrong, but I'm not sure how to refute her. I know she's not in deliberate error--she's too honest for that. But what's wrong with her argument?

Socrates: You said that this story is the reason why she believes that a means is more important than an end?

John: Yes, pretty much.

Socrates: That is a rather strange reason to come to such a conclusion, and I find fault with it. You, as a Christian, would see through it clearly.

John: Why?

Socrates: You tell me. What was the Chinese student's end?

John: Heaven.

Socrates: And what was their means of attaining it?

John: Death by martyrdom.

Socrates: Now, is heaven infinitely important than all their deaths put together, or not?

John: It is.

Socrates: Then does it not follow that the end--at least in this case--is far more important than the means?

John: Yes.

Socrates: So, we have established that in at least one case the end is more important than the means. Do you think we should inquire further into the matter to see whether ends are always more important than means?

John: Sure.

Socrates: When you are on a journey, which do you care more about, the road, or your destination?

John: My destination.

Socrates: Why? Is it because the destination is the place in which you want to be, while the road only serves to get you there?

John: Yeah, that seems to be it.

Socrates: The road is your means, while the destination is your end; is that so?

John: Yes.

Socrates: Therefore, the end is more important than the means?

John: Yes.

Socrates: Let us try another example. Suppose that you decide to devote yourself to extensive exercise. What is your end in that case?

John: To become strong, I guess.

Socrates: And is this end enjoyable and profitable when it is attained?

John: Yes.

Socrates: But in order to become strong, you must drill and drill and drill, even when it is painful. Would you continue to do this unless you had your goal in mind, to become strong?

John: I don't think so.

Socrates: So this pain you experience, is it more important than the strength and endurance that come after it?

John: No. It is less important.

Socrates: So, once again the end is more important than the means. Do you think that this is because of the nature of ends and means?

John: Yes.

Socrates: Well then, if you don't object, we will look at the definitions of both those terms. Is an end the goal toward which any action is directed?

John: Yes.

Socrates: And what is a means? Is it that which is used or done in order to attain an end?

John: It is.

Socrates: Now, does the goal toward which any action is directed exist for its own sake, or for the sake of something else?

John: For it's own sake.

Socrates: What about a means? Does it exist for its own sake, or for the sake of something else?

John: For the sake of something else, for the end.

Socrates: Is that which exists for its own sake more important than that which exists for something else?

John: Yes.

Socrates: Does it not follow, therefore, that an end is more important than a means, since it exists for its own sake, and what exists for its own sake is more important than what exists for something else?

John: Yes.

Socrates: So we have proved this to be true, and we have simultaneously reached the end of our walk, since we have reached your home--unless you wish to continue.

John: Later, Socrates. We might want to talk next time about means and ends and what else follows from them. Maybe we could even explore morality using the definitions you just made.
 

Friday, July 5, 2013

Wanted: Alternate Definition of Marriage

            There's one question that I would like someone to answer for me, please. It's not a rhetorical question, it's quite serious.
            In our country, a lot of people have been arguing about whether we should legalize same-sex "marriage", but I don't know yet whether a single one of them has ever asked this simple question: "what is marriage anyway?" That's the question I want answered. How do the homosexuals and their supporters define marriage?
            Whether gay "marriage" advocates admit it or not, the definition of marriage is important. In fact, it's crucial. It may mean the difference between life and death--literally. In one of my earlier  articles, I dealt with a definition of marriage which appeared bad enough at first glance, but which, upon closer inspection, was clearly more dangerous than I had ever thought. It was dangerous because it labelled as marriage every sexual activity whatever (except for child abuse and rape) as long as it was legal. Since it allowed for so much, it rendered the meaning of the word "marriage" virtually meaningless.
            If homosexuals have no definition of marriage at all (and I don't know if that's not so), then they are no better off than the people who hold meaningless definitions of marriage. An undefined term can mean whatever the people who use it want it to mean.
            So I request for someone who knows the homosexual's definition of marriage to please step forward and propose it so that we can see whether it holds any water. If people are going to argue about marriage at all, shouldn't they first of all know what on earth they're talking about?
         


Thursday, June 6, 2013

Parallels Between Music and Reality

Socrates: Hello, John.

John: Hello, I have a profound thought I wanted to talk about with you. 

Socrates: A profound thought? What is it?

John: Well, I noticed a really interesting parallel between music and reality. I was talking to my brother once about sameness and change. Apparently, the earliest philosophers had to wrestle with this question: is all of reality sameness or change? 

Socrates: Yes, and like a lot of people do, some chose one side, other people chose the other side.

John: Yeah. Some philosophers, my brother told me, chose the first option: that all reality is sameness. But this leads to absurdity because all differences between things would only be illusions. Some philosophers chose the second option: that all reality is change. But this also leads to absurdity because then nothing exists. Either way, nothing would be as it seemed. 

Socrates: So what is the solution to this dilemma?

John: Both sets of people made the mistake of assuming that it was either one way or the other. But why couldn't it be both? Couldn't things change in some ways, and yet remain the same in other ways? I think that they could. We can observe this truth in the way that objects in the universe have accidents (changing features) and essences (unchangeable, necessary features). 

Socrates: Certainly. So how does this relate to music? 

John: Well, I've noticed that music seems to strongly resemble reality in that it is a balance of sameness and change--or at least it should be. Music with too little change is minimalist, while music with too much change is total chaos. So good music has a balance between these two extremes. That is why I consider works like "Duel of the Fates" and "Battle of the Heroes" from "Star Wars" and Beethoven's Fifth, Bach's Brandenburg Concerto No. 4(?) etc. to be so great, because they are so much the same throughout, but they change so much. 

Socrates: Yes, indeed. 

John: Sorry for doing all the talking, Socrates. I hope you don't feel left out.

Socrates: Left out? No, I'm just listening. I'm sure that I will have plenty of questions to ask next time.

The Essence of Marriage: Part 5

X: So let's get started, Socrates. I think that we have now gotten to a point where we can actually define marriage.

Socrates: Hopefully we have, nameless one, since we've gotten rid of a lot of confusion. You aren't going to reveal your name, are you?

X: Um, no. I'm going to keep it the way it is.

Socrates: Why?

X: Because it's the name I've had for the past few dialogues. I might as well keep it until I can find a better one.

Socrates: All right then; back to our discussion. We've discarded one or two definitions of marriage, finding them insufficient or absurd, and we've also discussed the problems with one of the alternatives of marriage. But we never mentioned one definition of marriage that stands out like a sore thumb: the "traditional definition", as many would call it. What is this definition? Enlighten me.

X: All right, Socrates. This is what it is. Marriage is the covenant between one man and one woman who agree to love each other till death, and to accept and raise the children that they procreate through their union with each other.

Socrates: Thank you. What is a covenant?

X: An exchange of persons.

Socrates: So a marriage is a union in which a man and a woman exchange their very selves?

X: Yes.

Socrates: May they or may they not use contraception?

X: They must not. It is forbidden.

Socrates: Then the definition should be slightly clarified on that point. Why is it forbidden?

X: Because contraception separates the act of procreation from the pleasure experienced. This is a problem because it teaches spouses to use each other as objects, since they no longer need to "suffer" the consequences of their actions, and it also shows that they are not truly living their covenant. If they do not give themselves to each other in every way--their fertility included--then they are lying to each other and breaking their vows, since their vows demand a total self-surrender.

Socrates: Oh. If those are the reasons, then the definition you gave above is already sufficient by itself. Still, in your wreck of a world, it could use clarification.

X: Yes indeed it could. I wonder, is there anything more to be said, or should I just leave it at that? I can't think of anything else to say about marriage--at least not right now.

Socrates: I suppose that you could close the matter here--unless someone has objections to the definition?

X: I don't think I do, unless the definition needs more clarification. But that can be done later.

Socrates: So I suppose that wraps up our discussion about what marriage is.

X: Yes. I think our next topic will be who instituted marriage. I'll see you soon to talk about that, Socrates.

Socrates: I look forward to it.