Showing posts with label finite. Show all posts
Showing posts with label finite. Show all posts

Monday, March 29, 2010

The Paradox Of Circles

What is a circle? Essentially an infinitely-sided polygon. But if it has an infinite number of sides, how is it ALL circles are not infinitely long around? These are the kinds of issues Zeno of antiquity brought up. As long as each side of a circle has a length greater than ZERO, should not ALL circles be infinitely long around?

On the other hand, if each side of a circle has a length less than or equal to ZERO, a singularity results thus rendering it something less than a circle. Of course the resolution of this dilemma lies within the realm of recognizing a duality between infinities and limits thereupon! Hence, an infinite entity can be intertwined within something merely finite in scope. Apart from this though, these kind of mind exercises are rather interesting.

This is a perfect example of the "barber paradox". It is not the least bit tempting to believe that a circle, or at least all of them*, are infinite in circumference. But if they are all essentially infinitely-sided polygons with sides > zero length, how could they not all be infinite in circumference? With this then, perhaps it IS tempting to believe all circles are infinitely long around.

But this can't be because I have seen many circles and know them to be finite in circumference! Therefore: if a circle MUST be of infinite circumference, then it CAN'T be! Conversely, if a circle CAN'T be of infinite circumference, then it MUST be!


*A most bizarre implication rears its head. Can there exist a circle infinitely long around outside of an abstract mental construct? What is needed to describe a circle? A definition.....for example, its radius. But does not defining an object or concept systematically render said object or concept to something less than infinite? Perhaps I should now feel compelled to "disbelieve" in circles. They are nothing short of absurd!

My overarching point with this seemingly silly and useless exercise is to demonstrate how much of what we believe or assume about reality is really absurd! Maybe we don't know what we THINK we know? Humility overwhelms me with this realization.....

Monday, August 31, 2009

A Verdict On The Issue Of Health Care

How could something like the health and well-being of our citizens be relegated to the arbitrary whims of bureaucracies? On the other hand, to view health care from the perspective of each human being's every specific need and desire, how are we to expect this kind of personal care to be at all affordable?

It is essentially a debate about treating health care in a utilitarian versus an emotional manner. This is difficult because though the well-being of human beings is perhaps the most sacred of life's issues, it, like any other difficult issue, has severe restrictions placed upon it because we live in a finite world. If only it was infinite!

Unfortunately, there is neither enough money, nor doctors, nor organs to be transplanted, etc. to meet every personal need and desire of every citizen such that we are all treated with the utmost care.

It may be difficult to stomach for many of you but the world does not revolve around you, your parents, your children or Grandma Gertrude. It might be true to say that your world revolves around them. The problem with this is that obviously we all have our own ideas as to whom and what the world revolves around, many of which are in opposition to one another as they are vying for the same limited resources.

Alas, the “World's World” revolves around a collective One, many people and issues of which you could not care less about because they are not part of your world! But the problem with trying to approach health care in a utilitarian manner is that it will by its very nature foment accusations of being cruel and callous simply because this is perhaps the most emotional and fragile issue known to man. How dare we dehumanize our fellow brethren like this!

But to approach it in a purely emotional manner seems to necessitate astronomical expenditures of which nobody seems willing to take responsibility. How do we address this utilitarian/emotional dichotomy? Any response to this that places the answer “somewhere in the middle” simply obfuscates the problem all over again. The middle means a thousand things to a thousand people!

My opinion on this, depressing as it may be for many, leans more toward the “coldness” of utilitarianism. Of course this view will likely incite feelings of dehumanization, but I see this trend taking shape quite nicely in many of our other affairs, so perhaps this is our inescapable destiny?

Monday, July 20, 2009

The Collective Struggle Of Existence

It of course goes without saying that even if there was 1 society built upon 1 arbitrary yet coherent ideology, there would still be a collective struggle due to there being a finite supply of resources (mates, jobs, precious jewels and metals, fancy cars, oil, fame, etc.) It seems we were just “made” to be in a constant state of competitive conflict.

If there were an infinite supply of things, we would all presumably have everything we want. But would this make us (feel) happy and fulfilled? Probably not, as our happiness seems unconsciously built upon being above others because of the way we were “made” to be in a constant state of competitive conflict (this to me is a very justified evolutionary trait which is not so justified in today's overly prosperous societies where life-sustaining needs are met many times over). Hence our compulsion to “outdo” others or at least want to.

Apparently, if there were an infinite supply of everything, there would be no way for the ego to survive! On the other hand, if this had been the case, might we surmise the ego would never have existed in the first place? In any case, this is essentially what I envision heaven as, albeit figuratively. A place where Satan (ego) is completely vanquished.*

My opinion is Jesus was talking about this very thing (eradicating ego) but apparently it went largely unnoticed! For heaven to most people is implied to be a realm where NOBODY is suffering. We could conceivably do this today (to a much greater extent at least) but we are burdened by our own SELFISHNESS/EGO. Hence the belief that God will transform us after we die at which point we will FINALLY be able/forced to embrace an attitude that addresses suffering (like sharing resources when so many of us are overflowing with them).

But is this not the essence of SOCIALISM? Why then do we so vilify (especially the "conservative" religious among us) the idea of socialism as if it were some intrinsic evil? Why do people not acknowledge this CONTRADICTION?

Many will retort that socialism would leave little incentive to work causing the wholesale collapse of society leaving ALL OF US to suffer. HUH? How about being motivated to work JUST FOR GOD! Why then do we "need" excessive compensation above and beyond our basic needs? TO BE ABOVE OTHERS! Which is just what I would expect if evolution has shaped us over time to attempt or at least want to rise above others!

Once again, what about being motivated to work as hard as you can simply and only for God? Why then should it matter whether 95% of your income is taken and given to those that don't have it (including for the sake of argument people that don't have wealth simply because, God bless'em, they are stupid and lazy)? Because you are not motivated to do so for God, rather you are motivated to do so for YOURSELF (which of course includes collectives YOU identify with and support)! Please do not be ashamed.....this is how we are wired!

In the end, might the idea of heaven simply have originated to mitigate feelings of guilt due to all the cruelty and "unfairness" inherent in life?


*Would this be good or bad? Perhaps it would be both good and bad.....for it seems war would become a thing of the past (good). But then so would competitive sports become a thing of the past (bad).