The Enormous Ramifications of Human Action
By Jack Cohen, the
A man, upon feeling remorse for
having spread a rumor about the rabbi to his friend, approached the rabbi to
ask for forgiveness. The rabbi told him to go home, take his pillow to the top
of the hill overlooking the village, and release its feathers into the wind. The
man did so and returned to the rabbi perplexed. “Now what?” asked the man.
“Put the feathers back in your pillow.”
—a famous Chassidic tale
The tragic
flaw of modern civilization is our arrogance—we are overawed by our own
accomplishments. From humanity’s dawn in caves, we have built empires, erected
skyscrapers, split atoms, leveled cities, photographed galaxies, cured
epidemics, and developed the languages to speak of it all to one another. The
modern person, aware of these achievements and adorned with the spirit of the
Enlightenment, can think of no mystery in the world that cannot be solved. The
irony is that while she inherits this accumulation of 150,000 years of
knowledge of how the world works, she dismisses the received wisdom of how to
live in it as an ethical human being. It is seemingly a paradox. Why would our
knowledge base of chemistry, biology and mathematics be at its zenith today,
and not our understanding of ethics? What could a book written several thousand
years before the development of game theory teach us about ethical
decision-making? The paradox runs even deeper. With every other discipline from
medicine to boxing, there is a requirement for even the most gifted of
students—training. Even Picasso took art lessons. Ethics, the art of
living, has been reduced to a science, but one for which one need no formal
instruction or practice; it can be effortlessly learned by simply being alive.
Whether
one is religious or not, religions (in which I include non-theological
philosophical traditions) undeniably represent generations’ worth of wisdom
regarding the way one should live. Today, religions face the challenge of
making themselves intellectually relevant to societies that do not value
ethical education. While one does not need to accept one tradition in its
entirety to benefit from it, they are often tossed in the pile of outdated
knowledge that has served its purpose.
In this
essay I will look at consequentialism as paradigmatic of contemporary, reductionist ethical theories. Consequentialist theories
are all founded on the principle that an action's consequences completely
determine its goodness, that the goodness of an action’s consequences can be
quantified, and that we as responsible human beings should act in way that
optimizes this quantity to the best of our ability. These theories all rely on
a superhuman ability to understand the future and perform implicit mathematical
operations to make a decision. What I intend to prove is that in fact no human
being would be able to perform the complex computations and operations required
by these scientific ethical theories.
Mathematically, utilitarianism can be represented as follows, (formula 1):

where G is
the goodness of some prospect P resulting from an action taken, and gi is the incremental goodness for an individual
i within this prospect P. In order to act as good consequentialists, we must determine the value G for every
action we can possibly do at any given moment. Then, after ordering the G’s
from smallest to largest, we must execute the action corresponding to the G at
the top of the list.1 Unfortunately,
for the individual committed to consequentialism, this is only the
beginning—life becomes significantly more complicated.
What
science taught us in the 20th century is that anything is possible,
even if improbable. An action does not yield one outcome with 100% certainty;
an action can potentially yield infinite possible outcomes, each weighted by
its own probability of realization. To do the consequentialist theory justice,
it is vital to pay attention to the regrettably sparse debate regarding the
causal, epistemological, and ethical connections between our actions and their
seemingly never-ending chain of consequences. The ethical implications of this
topic are gigantic, yet the recent discussion has done little to affect how we
must alter our conception of consequentialism and its practicability. I will
explore how the mathematical formulation of objective consequentialism must be
modified to account for statistical uncertainty and the transitivity of action,
and its implications for subjective consequentialism.
In the
last fifty years, chaos theorists have discovered the surprising sensitivity of
complex causal systems to variations in their initial conditions. The classic
example given is how a butterfly's flapping wings in
To affirm
the Moore-Smart Response is to deny the potency of human action and to
discredit the value of ethics entirely. Chaos theory is sustained by the
principle that a small variation causes more small variations ad infinitum.
Simply by virtue of there being more remote consequences than near consequences,
one can say that the consequences become increasingly more significant with
time.4
Every
action taken seems to cause a divergence from the nearest possible reality,
continuing to diverge with time as chaos predicts. This said, the discussion
has centered on whether or not we are morally justified in discounting these
remote consequences when considering an act. Regardless, one does not need to
consider the consequences 100 years after an act is taken in order for
transitivity to pose a problem for consequentialism.
James Lenman makes an important distinction between objective
and subjective senses of rightness according to consequentialism. With Lenman’s definitions, objective rightness pertains to the
act evaluated through its actual consequences, while subjective
rightness is only concerned with the “visible” consequences.5 These
terms are both poorly defined. Consequentialist theories speak of ethical
agents as “bringing about” some prospect; however, this contradicts both
experience and our scientific understanding. Even in the laboratory, an action
does not necessitate the realization of some specified outcome; many outcomes
are possible, while some are more probable than others. Likewise, in the realm
of human action, an action intended to bring about some outcome does not
necessarily do so. There are chaotic subtleties in the world that are entirely
outside of our control. Since my understanding is that at best, we can
only know the probabilities of outcomes
and never the actual future, I will interpret
objective consequentialism to refer to the judgment a rational agent would make
if she knew all of her alternatives, all of their possible consequences and
associated probabilities, the consequent set of alternatives and their possible
consequences and probabilities, and so on.
This
causal framework is more clearly understood visually through Figure 1, an idealized representation
of the complexity of a rational ethical decision. At the time of a decision,
the agent exists in some scenario represented as P1, with some set of actions
from which to choose. Every action has some set of possible prospects that
could potentially be realized, each weighted by some probability.
Figure 1. The tree of consequences

While the
diagram above looks fairly complex, it is still a highly idealized
causal model. First and foremost, at any juncture, the agent has a choice
between only three possible actions. It is clear, that this is not the case in
reality. Robert Frazier goes so far as to say that at any given time, there is
no unique set of prospects P to order and then choose from.6 So,
even before we begin to look at the consequences, the list of possible actions
an agent can take are seemingly endless. Secondly, only three possible outcomes
that could result from an action are shown. This is also empirically false. An
arbitrarily large number of possible prospects could potentially result from a
given action without any further action from the agent. Lastly, the tree only
shows two iterations of action, and in the second iteration, only the causal
tree branching from prospect 5 is shown. However, just to illustrate how
complex this model is already with just two steps in the causal chain, what
follows is a calculation of the goodness realized by action 2 under just these
two causal iterations in this idealized model:
Formula 2:
First
iteration: [(ΔG1-5)|<P5|a2|P1>|2 + (ΔG1-6)
|<P6|a2|P1>|2 + (ΔG1-7)
|<P7|a2|P1>|2
Second iteration: + [(ΔG5-38)|<P38|a1d|P5>|2 + (ΔG5-39)
|<P39|a1d|P5>|2 + (ΔG5-40) |<P40|a1d|P5>|2]
+ […] + […]
_________________________________________________________________________________________
Total G
for action 2 under two iterations
Here, ΔG is the marginal goodness in a given prospect over
the one that preceded it chronologically, and each ΔG
is weighted by its relevant probability.7
The parallel valuations of actions 2d and 3d are symbolized by ellipsis points.
This seems
difficult enough, but in order to improve this model to reflect real decisions
as closely as possible, we would have to expand this equation in several
important ways. It does not seem reasonable that one’s decisions should be so
short‑sighted so as to reflect only one extra step ahead. For example,
G5 might be larger than G6 and G7, but perhaps if we expand to a few more
iterations, P5 leads to worse and worse sets of prospects. This is not merely a
theoretical anomaly; it is extremely common that one’s decision is beneficial
in the short-term but harmful in the long-term. The equation describing
utilitarianism would have to integrate (sum continuously) over a period of time
since one has the potential of making decisions at every moment. Lastly, we
cannot forget that contained in ΔG is the
marginal good realized in some prospect for every individual. Furthermore, in
calculating future outcomes and probabilities, one must account for the game
interactions between agents and know what ethical systems, if any, others are
using to dictate their actions.
This
sketch of the requirements for this formula are reminiscent of the quantum
electrodynamics path integral formulation, developed by physicist Richard
Feynman, which sums a particle's motions over all possible paths between two
points to determine the path that minimizes what is called the “action” S (a
complicated operation in itself, but practicable with a computer).8 Quantum
theory, however, makes no normative predictions for individual particles in a
system. At best, it can predict trends within some large sample and with some
uncertainty. Moreover, the mathematical formulation of utilitarianism would
analogically have to sum over all paths to all points for all
the “particles” (individuals) in the system, maximizing the good G.
No mention has been made so far of the semantic content of
utilitarianism—what exactly is this good G. Is it pleasure? Knowledge? Equality?
Justice? These all seem to be valid definitions of the good. Is there even a
scale on which values can be assigned to two things as distinct as supreme
enlightenment and French fries, for instance? Maybe things can simply be
ordered in some coherent way without assigning values, but this would make internalist comparisons extraordinarily difficult. If we were
to extend the comparison to Feynman’s equation, perhaps each of these values
could be represented as a separate dimension in value-space, making the
calculation even more complex. Would each person’s gi
represent what is good to them, or is there some objective definition of
the good? These questions are crucial, but beyond the scope of this paper. Although,
they do help to illuminate other difficulties one would face when performing
this consequentialist calculation.
You should
not be concerned about me moving towards the extreme claim that an objective
utilitarian rightness does not exist—that there is no act which would yield the
best consequences. I am not sure what that answer to this question would
be. Rather, I am trying to demonstrate just how epistemologically removed we
are from that knowledge. In its expanded form, the goodness of some action in
terms of its consequences is virtually incalculable. Even if an agent would be
able to project out her options, prospects, and probabilities, the calculation
itself would be unusable in practice. The world is not dictated by coin
tosses—this is quite a complicated place we live in with probabilities that are
rarely 50-50. We have established that an ethical agent cannot construct a
coherent ranking in her head of the possible actions she could take based on
their consequences. As a result, there is no way of knowing what the
objectively right act using utilitarianism is.
But if the
above analysis is sound, and we have ruled out the possibility of determining
an objective appraisal of an act through its consequences, what hope is
there that the subjective judgment of the foreseeable
consequences even remotely resembles
the objective ordering of all the consequences of all possible actions?
Many consequentialists agree with Peter Railton's more sophisticated and plausible strategy of not
interpreting consequentialism as a decision process, but instead as a theory of
how one what should act. If this distinction seems a bit thin, it is because it
is. Railton says it is an “an empirical question
(though not an easy one) which modes of decision making should be employed and
when,” as if a person could develop on her own some viable decision-making
process that matches an inaccessible rightness more often than not.9 How
can any decision procedure even come close to such an unintelligible account of
the objectively right action? But if an objective consequentialist vision of
rightness falls, and any epistemological confidence in a subjective vision
crumbles with it, what remains?
When one spreads a rumor to another, he is making an
estimation of the consequences. “What are the chances that this will get back
to the person it is about?” is the question that flashes through his mind
before the rumor leaves his mouth. But this moment of ethical decision-making
is no more than an instant, a flash of reflection prior to action. Our words
and actions escape us like feathers in the wind. We as human beings are simply
unable to fully consider the ramifications
of our actions once they begin propagating an external world that we do not
control, taken by the wind that carries our actions through space and time.
We are not
entirely blind to the transitivity of action, yet none of the abovementioned
moral philosophers describe what ought to change in our ethical decision
procedure to incorporate it into our thinking. Elinor
Mason concludes her article with a plea to not “give up on consequentialism.”10
Yet in a sense, we should let go of our intuitive drive to reformulate
ethics with one neat principle, mathematical or not. For utilitarians
living on a deserted island in a community of three people, where all decisions
are dictated by coin-tosses, I have not presented much of a problem. For
everyone else, life is more complicated. To give Mason her due credit, it is unreasonable to completely cease
considering the consequences. The consequences certainly matter, but at the
time of an ethical decision, one can rarely rigorously weigh the consequences
of actions as if one were deciding which lottery ticket is the best to buy.
Even
though we are epistemologically shut off from the “ocean of consequences,” it
is critical to be conscientious of the immense power an action can have. Lenman restricts the domain of massively consequential
actions mainly to “identity‑affecting” actions, namely engendering and
killings.11 This
is an unreasonably narrow view. A nasty rumor can for all intents and purposes kill a person. Appreciating the enormity
of our actions is the first step towards being as conscientious as possible of
the foreseeable consequences.
We can
see that contrary to Railton's opinion,
consequentialism is only of use to us as a decision procedure. We are
responsible in our decision process to consider the consequences of our actions
to the greatest degree that the situation allows us. The most poignant example
of this ethical concept is slander. A consequentialist assessment might
determine that the odds of a rumor returning to its subject are minute. However,
if one were to take a moment to fathom the consequences of speaking negatively
about one individual to another—if one were to work out, in rough terms, the potential for the rumor to spread
uncontrollably once it is let out, and just imagine the possible long-term
effects it could have on the one slandered and even the slanderer himself, it
becomes increasingly more difficult to bring about that prospect in good
conscience, especially with the innumerable other alternatives one has
available. Consequentialists should not be
disappointed at this result. As a way of thinking, this reformulated
consequentialism has tremendous value in instilling awe and respect for even
the most seemingly insignificant of actions, ensuring that before acting, we
consider as many of the consequences as possible.
This is by
no means a science. Ethics is not economics. There is more to the realm of
ethics than price and quantity. We have already seen that as a science, ethics
make quantum electrodynamics look like finger-painting. The meta-ethical
questions of what is the good that we are trying to maximize only complicate
matters. Responsible living is an art. It is implausible that an agent will
ever be able to know the objective consequentialist value of a prospect, even
with a consequentialist pocket calculator, there are too many conditions to
input. Nor do I believe (hope?) a criminal will ever be tried in court by a
consequentialist computer. There is no usable algorithm to determine the right.
People are judged by people to ascertain whether the agent could have done more
to prevent harm, and whether the agent was aware of the negative consequences. Every
ethical instance is unique and must be dealt with as such.
It is easy
to be crushed by the immensity of our actions’ consequences. But if we
understand that uncertainty is part of the fabric of this universe, that our
world is no more righteous now than the world of our grandparents, and that our
ancestors have lived full, rich lives with this uncertainty and have recorded
their words of wisdom, we might be open-minded enough to give the ethics of our
fathers another chance.Ç
© Jack Cohen, 2006
References
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———————. Weighing Goods.
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——————— "Rights and
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Notes
1 The mathematical formalization of utilitarianism
presented in this paper is loosely based on John Harsanyi
1955 Theorem, which appeared in ‘Cardinal Welfare, Individualistic Ethics, and
Interpersonal Comparisons of Utility,’ Journal of Political Economy 63:
309-321.
2
James Lenman, ‘Consequentialism and Cluelessness,’ Philosophy and Public Affairs 29/4
(2000), p. 350, quoting from
3
Alistair Norcross, ‘Consequentialism and the
Unforeseeable Future’, Analysis 50 (1990), p. 253, quoting Smart’s ‘An
Outline of a System of Utilitarian Ethics’, in J. J. C. Smart and Bernard
Williams: Utilitarianism For and Against (Cambridge: Cambridge
University Press, 1973), p. 33.
4
Robert Frazier, ‘Act Utilitarianism and Decision Procedures’, Utilitas 6/1 (1994), p. 48.
5
Lenman, p. 359.
6
Frazier, p. 45.
7 Just a comment on notation: the probability of P5
occurring if action 2 is taken under P1 is represented mathematically by |<P5|a2|P1>|2.
8
Richard Feynman, QED – The Strange Theory of Light and Matter (Princeton
University Press, 1988).
9
Peter Railton, ‘Alienation, Consequentialism and the
Demands of Morality’, Philosophy and Public Affairs 8 (1984), p. 117. Robert Frazier does a very
convincing job of demonstrating this point, pp.
43-50.
10 Mason, p. 361.
11 Lenman, p. 345.