Suppose I am playing Tetris seriously. What am I aiming at?
It’s not victory: one cannot win Tetris.
A good score, yes. But I wouldn’t stop playing after reaching a good
score. So a merely good score isn’t all I am aiming at. An
excellent score? But, again, even if I achieved an excellent
score, I wouldn’t stop, so it’s not all I am aiming for. A
world-record score? But I wouldn’t stop as soon as my score exceeded the
record. An infinite score? But then I am aiming at an impossibility.
A phrase we might use is: “I am trying to get the best score I can.”
But while that is how we speak, it doesn’t actually describe my aim. For
consider what “the best score I can get” means. Does the “can” take into
account my current skill level or not? If it does take into account my
skill level, then I could count as having achieved my end despite
getting a really miserable score, as long as that maxed out my skills.
And that doesn’t seem right. But if it does not take into account my
current skill level, but rather is the most that it could ever be
possible for me, then it seems I am aiming at something unrealistic—for
my current skill level falls short of what I “can” do.
What is true of Tetris is true of many other games where one’s aims
align with a score. In some of these games there is such a thing as
victory in addition to score. Thus, while one can time one’s runs and
thus have just a score, typical running races include victory
and a time, and sometimes both enter into the runner’s aims.
This is not true of all games: some, like chess, only have victory
(positions can be scored, but the scores are only indicative of their
instrumentality for victory).
It’s worth noting that a score can be either absolute, such as time
in running, and relative, such as one’s place among the finishers. In
the case of place among finishers, one may be aiming for victory—first
place—but one need not be. One might, for instance, make a strategic
decision that one has no realistic hope for first place, and that aiming
at first place will result in a poorer placement than simply aiming to
“place as well as one can” (bearing in mind that this phrase is
misleading, as already mentioned).
Insofar as aims align with a score, we can say that we have directed
activity, but there seems to be no end, so the activity is not
end-directed. We might want to say that the score is the “end”,
but that would be misleading, since an end is a state you are aiming at.
But typically you are not just aiming at the state of having a score—in
Tetris, you get a score no matter what you do, though it might be zero.
In timed fixed-distance sports, you need to finish the distance to have
a time, and for some endurance races that in itself is a serious
challenge, though for “reasonable” distances finishing is not much of an
accomplishment.
I think what we should say is that in these activities, we have a
direction, specified by increasing score, but not an end. The
concept of a direction is more general than that of an end. Wherever
there is an end, there is a direction defined by considering a score
which is 1 if one achieves the end and
0 if one fails to do so.
So far all my examples were games. But I think the distinction
between direction and end applies in much more important cases, and
helps make sense of many phenomena. Consider our pursuits of goods such
as health and knowledge. Past a certain age, perfect health is
unachievable, and hence is not what one is aiming at. But more
health is always desirable. And at any age, omniscience is out of our
grasp, but more knowledge is worth having. Thus the pursuits of health
and knowledge are examples of directed but not always end-directed
activities. (Though, often, there are specific ends as well: the
amelioration of a specific infirmity or learning the answer to a
specific question.)
(Interesting question for future investigation: What happens to the
maxim that the one who wills the end wills the means in the case of
directed but not end-directed activity? I think it’s more complicated,
because one can aim in a direction but not aim there at all costs.)
I think the above puts is in a position to make progress on a very
thorny problem in Thomistic theology. The beatific vision of God is
supremely good for us. But at the same time, it is a
supernatural good, one that exceeds our nature. Our nature does
not aim at this end, since for it to aim at this end, it would need to
have the end written into itself, but its very possibility is a revealed
mystery. Our desire for the beatific vision is itself a gift of God’s
grace. But if our nature does not aim at the beatific vision, then it
seems that the beatific vision does not fulfill us. For our nature’s
aims specify what is good for us.
However, we can say this. Our nature directs us in the direction of
greater knowledge and greater love of the knowable and the lovable. It
does not limit that directedness to natural knowledge and love, but at
the same time it does not direct us to supernatural knowledge and love
as such. As far as we naturally know, it might be that natural knowledge
and love is all that’s possible, and if so, we need go no further. But
in fact God’s grace makes the beatific vision possible. The beatific
vision is in the direction of greater knowledge and love from all our
natural knowledge and love, and so it fulfills us—even though our nature
has no concept of it.
Imagine that unbeknownst to me, a certain sequence of Tetris moves,
which one would only be able to perform with the help of Alexey
Pajitnov, yields an infinite score. Then if I played Tetris with
Pajitnov’s help and I got that infinite score, I would be fulfilled in
my score-directed Tetris-playing. However, it would also be correct that
if I didn’t know about the possibility of the infinite score, it wasn’t
an end I was pursuing. Nonetheless, it is fulfilling because it is
objectively true that this score lies in the direction that I was
pursuing.
Similarly, our nature, as it were, knows nothing of the beatific
vision, but it directs us in a direction where in fact the beatific
vision lies, should God’s grace make it possible for us.
This also gives a nice explanation of the following related puzzle
about the beatific vision. When one reads what the theologians say about
the beatific vision, it appears attractive to us. That attractiveness
could be the result of God’s grace, but it is psychologically plausible
that it would appear attractive even without grace. The idea of a loving
union of understanding with an infinite good just is very attractive to
humans. But how can it be naturally attractive to us when it exceeds our
nature? The answer seems to me to be that we can naturally know that if
the beatific vision is possible, it lies in the direction we are aimed
at. But, absent divine revelation, we don’t know if it is possible. And,
trivially, it’s only a potential fulfillment of our nature—i.e., a good
for us to seek—if it is possible.
Does this mean that we should reject the language of “end” with
respect to the beatific vision? Yes and no. It is not an end in the
sense of something that our nature aims at as such. But it is
an end in the sense that it is a supreme achievement in the
direction at which our nature aims us. Thus it seems we can
still talk about it as a supernatural end.