The Mathematical Catholic

Saturday, November 19, 2005

Interesting question

This is from Scott Adam's book God's Debris
“Four billion people say they believe in God, but few
genuinely believe. If people believed in God, they would
live every minute of their lives in support of that belief. Rich
people would give their wealth to the needy. Everyone
would be frantic to determine which religion was the true
one. No one could be comfortable in the thought that they
might have picked the wrong religion and blundered into
eternal damnation, or bad reincarnation, or some other
unthinkable consequence. People would dedicate their lives
to converting others to their religions.
“A belief in God would demand one hundred percent
obsessive devotion, influencing every waking moment of
this brief life on earth. But your four billion so-called believers
do not live their lives in that fashion, except for a few.
The majority believe in the usefulness of their beliefs—an
earthly and practical utility—but they do not believe in the
underlying reality.”
I couldn’t believe what I was hearing. “If you asked
them, they’d say they believe.”
“They say that they believe because pretending to
believe is necessary to get the benefits of religion. They tell
other people that they believe and they do believer-like
things, like praying and reading holy books. But they don’t
do the things that a true believer would do, the things a true
believer would have to do.
“If you believe a truck is coming toward you, you will
jump out of the way. That is belief in the reality of the truck.
If you tell people you fear the truck but do nothing to get
out of the way, that is not belief in the truck. Likewise, it is
not belief to say God exists and then continue sinning and
hoarding your wealth while innocent people die of starva-
tion. When belief does not control your most important
decisions, it is not belief in the underlying reality, it is belief
in the usefulness of believing.”

Saturday, November 12, 2005

Questioning the Governments Gay Marriage Ban

I wrote this in response to the following list: 12 reasons for banning Gay Marriage. I am just posting it now but I will more than likely expand on it later. Mainly I want to ask can our government ban gay marriage under its current working philosophy, not whether gay marriage is correct or not.

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Very interesting list, one which I whole heartily agree with. But I think there is an underlying assumption that I don't agree with, that the government is the institution to define marriage. This seems really bogus to me, the only legitimate reasons, that I can see, where the government has taken over the role as defining marriage fall into three categories:

(1) To give out extra benefits to encourage families, i.e. tax breaks for building population.

(2) To determine property rights at the end of a marriage.

(3) To oppress those whose marriages are "unsanctified".

(2) is merely a semantic issue that could simple be redefined in a more appropriate manner. (3) is something that societies should, maybe I am being facetious calling it a legitimate reason, avoid but alas history can point to numerous cases where it doesn't. But (1), has a little bit more merit than I think people give credit.

But before I say anything about (1), marriage has been a religious construct in every society for probably all of civilization. It is one of the major tenets of almost every religion. For good reason, people who are committed to one another seem to be better individuals rather than alone. This of course doesn't hold in every case. But the role of marriage in the lives of people differ greatly, from merely a contract of procreation and political maneuver to a romantic encounter nutured throughout the people's lives. At any rate, gay marriage seems to be largely a modern construct. I can point to history where gay lifestyles are not considered immoral but gay marriage seems not to be done. Although this rambling is nice, it does not bring any light to why the current US government should not allow for gay marriage, especially since it seems to be condoned by religion rather than government regulations. Thus to promote marriage at all seems, the government is condoning a religious stance.

But the fact remains that for many people marriage is a societal construct, with no bearing from religion. In this manner the government, recognizes this construct and awards it with tax breaks. These tax breaks could be recognized as a way to better society, just like tax breaks for car pooling, or extra taxes on cigarettes, but if that is the case one has to ask if heterosexual marriage brings any benefits to society over homosexual marriage. But these advantages can be given for more specific reasons over not allowing marriage,i.e. if tax breaks are given for car poolers we don't revoke your drivers license if you don't car pool. So saying that two people can't be married because they won't qualify for some benefits seems illogical.

One resolution is to allow for marriage of all people, but that seems to be a religious construct that too many ties have been attached to. Another solution is to de-emphasize the government's role in marriage, maybe only hand out civil unions. It would be awkward I agree, and but it would also uphold the separation of church and state mentality that the government has been working off of for the last 50 years.

Wednesday, September 07, 2005

On Science and Humanities

Okay so I have been having this discussion off and on with a friend about science versus humanities, and my recent investigation of Intelligent Design has really got me reeling about the subject.

So often we talk about the difference between science and religion but I claim the difference is the same as the foundational difference between science and all humanities. That difference is the pursuit of "truth". Truth in quotes because science's goal is not truth but rather predictive models.

In science, we look for patterns to describe future events. You want to know when the stars will move in a certain way, or when chemicals form a particular reaction, or when biological organisms will evolve, or any other question of science, one intuitively looks at similar events in the past. Now does this really have any bearing on what will happen right now? NO, of course not, how could dead dinosaurs have an affect on the mutations of fruit flies? But what we would like to believe is that there are physical laws that govern the process that are the same now as they were before. So science is really about studying supposed physical laws. Now go ahead and try to justify that these physical laws exist, and no just saying they always work does not prove their existence. I would contend that these supposed physical laws are much like proving the existence of God.

Thus science only assumes they exist and they are constant. It then pursues models that cohere with the physical laws. Now these models often fail; if they do pass the scrutiny of the scientific community they will pass off as laws and be taken for almost fact. When the laws fail, we just assume that the conditions are different and try to prove new laws for the new conditions. Thus we have useful models that are based off what we see but have dittly squat to do with what is causing the effects. In fact we could just have a very consistent Flying Spaghetti Monster causing all science to come out correct, but that is silly so let's rename the monster to physical laws.

Now humanities is interested in truth. Truth in all its forms but truth for sure. It does not work in literature to say that a text is good because an unseen, undetected force makes it so. Beauty cannot be defined as the things that pleases a mountain or is created by a pirate. Mathematics cannot make a claim on all its pretty definitions because Euler said so. Moreover humanities cannot just say something is good because it works, whereas science does this all the time. Humanities is taking on a tougher challenge and thus needs a stricter definition of proof. If I just created a model for assessing beauty and here comes along something that doesn't fit in that model, is it okay just to claim that it is a different condition? No, my model is wrong because it missed the very essence of beauty if things that are beautiful are not described as beautiful.

With this said, comparing science and humanities is bound to fail. Now sometimes the two are inspired by one another but each has to prove its results in it's own ways.

Monday, September 05, 2005

On Work

Today is Labor Day here in the U.S. and I just wanted to say a few words on the role of work, in a religious sense.

Have we ever stopped to ask ourselves why we work? Sure, we might casually say because we want to eat, but for those who are above the poverty level we work much harder than "just eating" status. Then you might comment that you want nice stuff, but then again we give out so much of our money to things other than nice stuff. Others might find satisfactions in their perspective career, "Hey all those numbers need to be played!" But then having a career will limit us in so many other ways that we just "deal" with. Then comes that final and probably more truthful answer, "Because we want to be remembered for something", or "To pursue my own immortality."

That last reason is where religion comes in and furthermore trumps the reasons before. To work for religious reasons is grander than all those before. To give glory to a creator will provide all one needs and devote oneself to the immortal. Of course working in such a manner requires all the good moral since that labor movements have campaigned. Fair working conditions, living wages and all that. But think about it, how does your job contend with your thoughts of an afterlife or with any transcendental entity?

Monday, August 29, 2005

John the Baptist

Today is the feast day of John the Baptist. The homily given by my pastor was simple short and effective: "In the words of John the Baptist 'I must decrease so He can increase.'"

This statement is a focal point in the Gospels. Even more so it is from the person who Jesus calls the greatest man to live. It is completely counter to everything we are ever taught in our culture. So even deeper it is one of the essentials to the Christian lifestyle.

Just like living the Sermon on the Mount is something that is only attainable by the Saints, this idea of doing all things for not you own glory but for that of Jesus is also Saintly. For even in writing this blog I hope I have better opportunities in life for doing so. This idea of decreasing your own self in order to lift up something else is not only in the Gospel message but is the core of the Kantian Good Will.

Kant wants to say the only way one can determine if they have a good will is if they are willing to do something that will hurt themselves but they know it is the right thing to do. This seems to be the idea of John here as well. He must decrease his ministry so that people do not miss the Messiah. How difficult it must be to stop what you love to teach just so you don't guide someone the wrong way.

Tuesday, August 23, 2005

Keys of Heaven

So this Sunday's Gospel reading was about Jesus giving the keys of the kingdom to Peter, Mt 16:13-20. The first reading is the preimage of this scene where the Lord tells the master of the palace Sheba that Eliakim will replace him, Is 22:19-23. From this story we derive many things but mostly the role and founding of the Church.

So one might ask why is this mathematical, but I want to contend that this story eludes to the very philosophical structure of mathematics and then relate it to the Church. First, what I ask what does a key that opens doors and locks doors do? For one it allows people to see into the room, it also allows for people to enter the room, it sometimes even allows someone to change the decorations of the room or use the room for storage. One thing it does not do is allow the shape of the room to be changed, nor does it change the view from the windows. My point is that keys will allow us to do minor things to rooms but the structure and fundamental elements of the room is already in place.

This is largely how I view mathematical research. Academics is the pursuit of knowledge by opening doors and seeing if we find an answer there. Sometimes we take problems to different rooms to discover potential solutions and other times we just curse the room we are in since it isn't helping us at all. The structure of the palace is the foundations of mathematics that has been set up through the centuries of studying. These things are unlikely to be changed, there will always be an infinite number of prime numbers, there will always the be same number of integers as rationals, etc. Of course the rooms that researchers open do more than just light their own path. By opening new ideas and areas mathematicians are able to drive the field into new directions allowing others make use of the newly opened rooms. This is why we have so many theorems that are discovered at the same time (not to mention that the Communists didn't let people publish freely). So in many ways the mathematician is just a keeper of the keys to mathematics.

This observation gives me new insight (to my very limited sight) into the Church's role with Her keys. In the same way, Jesus has set the foundations of the Church for us to discover by viewing, using, and closing rooms. Thus we are able to discover what seem to be new truths but are actually new use of the same truths. Furthermore, this gives the mandate for the leaders of the Church to open doors that will bring new fruits to the people of our time. The leaders are able to set the sight of all the Church in a direction that will allow our Church to proceed together towards God's Kingdom.

Now there are other things to get from these passages but I just wanted to take a moment to look at the beauty of our Scriptures in relation to mathematics.

Tuesday, August 16, 2005

Intelligent Design Bad Arguments

Okay so I am a bit annoyed at the bad arguments surrounding Intelligent Design, both for and against it. This blog is inspired by Charles M. Madigan's article "God's Imperfect World".

From the article I want to discuss two flawed arguments.

First, people often make is that if God is perfect and all powerful then how can he create such an imperfect world.

Second, if evolution hasn't affected any of our creation why do we have useless body parts such as the appendix or what seems to be messed up body parts like our shoulders that seem better suited for creatures that walk on all fours.

Okay the first point is a common flaw with argumentation that either God doesn't exist or God is not perfect and all powerful. Not usually an argument that is used in the intellectual design debate. So why did God create those creepy crawling things that just annoy the heck out of everything that they ever come into contact with, e.g. look at pictures of things that live deep in the ocean. Or another example cited by Madigan is the preying mantis where the female dines on the male after copulation.

So Madigan seems to think that the set of living things on this world is a bad set since not every thing in the set seems to have a purpose or operate by some set of civilized rules. To complete the argument one needs to also include all those things that are not living that also seem strange and not necessary, like Death Valley or Antarctica or broccoli. Thus we come to the point that the set of things in this world are not really perfect but one can always show that they are imperfect through the right lenses. I contend this is an flawed way of looking at this set.

First problem is how to define perfection. One cannot contend that something is perfect or imperfect without giving some sort of qualifications for being perfect or imperfect. For example, if I said the world is imperfect because it contains things with cause pain to other living creatures, then I have defined perfection to be that which does not cause pain to living creatures. This is a bit of a silly definition because how many times do living things want pain, for example humans want the pain of being on fire so that our skin does not burn off leaving us for dead. So without a definition of perfection a perfect world does not exist period.

But what if we had an appropriate definition of the perfect, not that I believe we could ever find one. Then we could ask why is our world not that world, if in fact it isn't that perfect world already. Well to attack God's perfection one would first need to decide if the perfect world is even attainable. For example, if I have a set of numbers such that all the numbers are greater than 1 and also negative I would have an empty set of numbers. There are no candidates for that perfect set of numbers. Then if the perfection is attainable is it unique, otherwise how would we choose the true perfection. For example. what if I changed it to be a set of numbers such that all the numbers are greater than one and almost negative. Well here I can define almost negative in a number of ways, e.g. within 5 of being negative. What makes me choose 5 versus 6 or 10. In fact any number would suffice for my definition so what does picking one number over the other really matter when I am picking this new perfect set. Thus we have a case where there are an infinite number of perfect sets such that they are all good enough in that they still have that quality of perfection. There are for sure sets that are not perfect such as those actually containing negative numbers since all numbers in the set should be greater than 1. So before one can attack the imperfection of the world we must have a definition of perfection and a unique possible world that is a perfect world and not this world, or at least a characteristic of this world that excludes it from the set of possible perfect worlds. Otherwise, there is now way of claiming that this world is better or worse than any other world. In math terms, the set of possible worlds is not well ordered.

The second point is a gentler point that is flawed on both sides. First people who claim that God did not use evolution at all in the creation of the world we reside in are no longer arguing Intellectual Design but rather good old fashion Creationism. Second people who argue that science rules the roost and not accepting science's creation story all the way to the Big Bang or beyond is all the same as Creationism are also flawed in their inability to see the arguments clearly. So before one can argue that Intellectual Design is flawed because there is a design flaw in humans and other animals, the debate needs to include what has been evolved and what has been specifically designed.

This task of specifying what is actually design goes back to the question about perfection. Since Intellectual Design wants to hold that humans are the greatest creation, one must ask what makes them the greatest design. For example, I could have a computer program that has a very crappy human interface but be the greatest design for computations. Does this mean that the program is not the greatest design available? Furthermore the program will itself gain new programmers working on it and it will evolve with a better human interface but if it is the greatest design for computation then that part has nowhere to go and thus only other parts of the program evolves. Thus in the same way the Intellectual Design argument can hold that the design of the human is the greatest while allowing for other parts of the design to have evolved. At the heart of the matter I believe that is what Intellectual Design wants to do, to allow for evolution within the specific design of the human but for the human parts, what some will call a soul, to be that of divine creation.

Now whether Intellectual Design or Creationism or Evolutionary Theory is the right way to look at creation, I don't know. I go with the motto: "All models are wrong, but some models are useful." Who is right really doesn't matter too much to me, but getting the argument correct is just good manners.

I hope I have clearly explained why these are bad arguments, if not just comment and I will explain further.