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<h2><font face="Arial">The Incompatibility of Naturalism and Scientific Realism<br>
<font size="2"><b>By Robert C. Koons<br>
</b>Associate Professor of Philosophy<br>
University of Texas</font></font></h2>
<hr>
<p><i><font face="Arial" size="2">Editor's Note:&nbsp; This article is 
reproduced under blanket permission for non-commercial use from
<a href="http://www.arn.org">Access Research Network</a>.&nbsp; We highly 
recommend that site as a source of information on Intelligent Design.&nbsp; 
Items of copyright information at the bottom of this article are the retained 
original statements from the sources.</font></i></p>
<hr>
<h3><font face="Arial">Introduction</font></h3>
<p><font face="Arial">Whenever philosophers bother to offer a defense for 
philosophical naturalism, they typically appeal to the authority of natural 
science. Science is supposed to provide us with a picture of the world so much 
more reliable and well-supported than that provided by any non-scientific source 
of information that we are entitled, perhaps even obliged, to withhold belief in 
anything that is not an intrinsic part of our our best scientific picture of the 
world. This scientism is taken to support philosophical naturalism, since, at 
present, our best scientific picture of the world is an essentially 
materialistic one, with no reference to causal agencies other than those that 
can be located within space and time. This defense of naturalism presupposes a 
version of scientific realism: unless science provides us with objective truth 
about reality, it has no authority to dictate to us the form which our 
philosophical ontology and metaphysics must take. Science construed as a mere 
instrument for manipulating experience, or merely as an autonomous construction 
of our society, without reference to our reality, tells us nothing about what 
kinds of things really exist and act. In this essay, I will argue, somewhat 
paradoxically, that scientific realism can provide no support to philosophical 
naturalism. In fact, the situation is precisely the reverse: naturalism and 
scientific realism are incompatible. Specifically, I will argue that (in the 
presence of certain well-established facts about scientific practice) the 
following three theses are mutually inconsistent: </font></p>
<p><font face="Arial">1. Scientific realism </font></p>
<p><font face="Arial">2. Ontological naturalism (the world of space and time is 
causally closed) </font></p>
<p><font face="Arial">3. There exists a correct naturalistic account of 
knowledge and intentionality (representational naturalism) </font></p>
<p><font face="Arial">By scientific realism, I intend a thesis that includes 
both a semantic and an epistemological component. Roughly speaking, scientific 
realism is the conjunction of the following two claims: </font></p>
<p><font face="Arial">1. Our scientific theories and models are theories and 
models of the real world. </font></p>
<p><font face="Arial">2. Scientific methods tend, in the long run, to increase 
our stock of real knowledge. </font></p>
<p><font face="Arial">Ontological naturalism is the thesis nothing can have any 
influence on events and conditions in space and time except other events and 
conditions in space and time. According to the ontological naturalist, there are 
no causal influences from things 'outside' space: either there are no such 
things, or they have nothing to do with us and our world. Representational 
naturalism is the proposition that human knowledge and intentionality are parts 
of nature, to be explained entirely in terms of scientifically understandable 
causal connections between brain states and the world. <b>Intentionality</b> is 
that feature of our thoughts and words that makes them <i>about</i> things, that 
gives them the capability of being true or false of the world. I take 
philosophical naturalism to be the conjunction of the ontological and 
representational naturalism. The two theses are logically independent: it is 
possible to be an ontological naturalist without being a representational 
naturalist, and vice versa. For example, eliminativists like the Churchlands, 
Stich and (possibly) Dennett are ontological naturalists who avoid being 
representational naturalists by failing to accept the reality of knowledge and 
intentionality. Conversely, a Platonist might accept that knowledge and 
intentionality are to be understood entirely in terms of causal relations, 
including, perhaps, causal connections to the Forms, without being an 
ontological naturalism. I will argue that it is only the conjunction of the two 
naturalistic theses that is incompatible with scientific realism. Many 
philosophers believe that Scientific Realism gives us good reason to believe 
both Ontological Naturalism and Representational Naturalism. I will argue, 
paradoxically, that Scientific Realism entails that either Ontological 
Naturalism or Representational (or both) are false. I will argue that Nature is 
comprehensible scientifically <b>only if</b> nature is <b>not</b> a causally 
closed system -- only if nature is the shaped by supernatural forces (forces 
beyond the scope of physical space and time). My argument requires two critical 
assumptions: </font></p>
<p><font face="Arial"><b>PS</b>: A preference for simplicity (elegance, 
symmetries, invariances) is a pervasive feature of scientific practice. </font>
</p>
<p><font face="Arial"><b>ER</b>: Reliability is an essential component of 
knowledge and intentionality, on any naturalistic account of these. </font></p>
<h3><font face="Arial">The Pervasiveness of Simplicity</font></h3>
<p><font face="Arial">Philosophers and historians of science have long 
recognized that quasi-aesthetic considerations, such as simplicity, symmetry, 
and elegance, have played a pervasive and indispensable role in theory choice. 
For instance, Copernicus's heliocentric model replaced the Ptolemaic system long 
before it had achieved a better fit with the date because of its far greater 
simplicity. Similarly, Newton's and Einstein's theories of gravitation won early 
acceptance due to their extraordinary degree of symmetry and elegance. In his 
recent book, <i>Dreams of a Final Theory</i>, physicist Steven Weinberg included 
a chapter entitled &quot;Beautiful Theories&quot;, in which he detailed the indispensable 
role of simplicity in the recent history of physics. According to Weinberg, 
physicists use aesthetic qualities both as a way of suggesting theories and, 
even more importantly, as a sine qua non of viable theories. Weinberg argues 
that this developing sense of the aesthetics of nature has proved to be a 
reliable indicator of theoretical truth. </font></p>
<blockquote>
  <p><font face="Arial">The physicist's sense of beauty is ... supposed to serve 
  a purpose -- it is supposed to help the physicist select ideas that help us 
  explain nature.<a href="http://www.theism.net/article/25/#foot117" name="tex2html1"><sup><font color="#000000">1</font></sup></a>
  </font></p>
</blockquote>
<blockquote>
  <p><font face="Arial">...we demand a simplicity and rigidity in our principles 
  before we are willing to to take them seriously.
  <a href="http://www.theism.net/article/25/#foot118" name="tex2html2"><sup><font color="#000000">2</font></sup></a>
  </font></p>
</blockquote>
<p><font face="Arial">For example, Weinberg points out that general relativity 
is attractive, not just for its symmetry, but for the fact that the symmetry 
between different frames of reference requires the existence of gravitation. The 
symmetry built into Einstein's theory is so powerful and exacting that concrete 
physical consequences, such as the inverse square law of gravity, follow 
inexorably. Similarly, Weinberg explains that the electroweak theory is grounded 
in an internal symmetry between the roles of electrons and neutrinos. The 
simplicity that physicists discover in nature plays a critical heuristic role in 
the discovery of new laws. As Weinberg explains, </font></p>
<blockquote>
  <p><font face="Arial">Weirdly, although the beauty of physical theories is 
  embodied in rigid, mathematical structures based on simple underlying 
  principles, the structures that have this sort of beauty tend to survive even 
  when the underlying principles are found to be wrong.... We are led to 
  beautiful structures by physical principles, but the beauty sometimes survives 
  when the principles themselves do not.<a href="http://www.theism.net/article/25/#foot119" name="tex2html3"><sup><font color="#000000">3</font></sup></a>
  </font></p>
</blockquote>
<p><font face="Arial">For instance, Dirac's 1928 theory of the electron involved 
an elegant formalism. Dirac's theory led to the discovery of the positron, and 
the mathematics of Dirac's theory has survived as an essential part of quantum 
field theory, despite the fact that Dirac's approach to reconciling quantum 
mechanics and relativity was wrong.<a href="http://www.theism.net/article/25/#foot120" name="tex2html4"><sup><font color="#000000">4</font></sup></a> 
Similarly, mathematicians' pursuit of elegant mathematical theories has 
regularly anticipated the needs of theoretical physicists. The theory of curved 
space was developed by Gauss and Riemann before it was needed by Einstein, and 
group theory antedated its use in the theory of internal symmetry principles in 
particle physics. <a href="http://www.theism.net/article/25/#foot121" name="tex2html5"><sup>
<font color="#000000">5</font></sup></a> Weinberg notes that the simplicity that 
plays this central role in theoretical physics is &quot;not the mechanical sort that 
can be measured by counting equations or symbols&quot;.<a href="http://www.theism.net/article/25/#foot122" name="tex2html6"><sup><font color="#000000">6</font></sup></a> 
The recognition of this form of beauty requires an act of quasi-aesthetic 
judgment. As Weinberg observes, </font></p>
<blockquote>
  <p><font face="Arial">There is no logical formula that establishes a sharp 
  dividing line between a beautiful explanatory theory and a mere list of data, 
  but we know the difference when we see it.<a href="http://www.theism.net/article/25/#foot123" name="tex2html7"><sup><font color="#000000">7</font></sup></a>
  </font></p>
</blockquote>
<p><font face="Arial">In claiming that an aesthetic form of simplicity plays a 
pervasive and indispensable role in scientific theory choice, I am not claiming 
that the aesthetic sense involved is innate or apriori. I am inclined to agree 
with Weinberg in thinking that &quot;the universe acts as a random, inefficient and 
in the long-run effective teaching machine...&quot;<a href="http://www.theism.net/article/25/#foot124" name="tex2html8"><sup><font color="#000000">8</font></sup></a> 
We have become attuned to the aesthetic deep structure of the universe by a long 
process of trial and error, a kind of natural selection of aesthetic judgments. 
As Weinberg puts it, </font></p>
<blockquote>
  <p><font face="Arial">Through countless false starts, we have gotten it beaten 
  into us that nature is a certain way, and we have grown to look at that way 
  that nature is as beautiful.... Evidently we have been changed by the universe 
  acting as a teaching machine and imposing on us a sense of beauty with which 
  our species was not born. Even mathematicians live in the real universe, and 
  respond to its lessons.<a href="http://www.theism.net/article/25/#foot125" name="tex2html9"><sup><font color="#000000">9</font></sup></a>
  </font></p>
</blockquote>
<p><font face="Arial">Nonetheless, even though we have no reason to think that 
the origin of our aesthetic attunement to the structure of the universe is 
mysteriously prior to experience, there remains the fact that experience has 
attuned us to <i>something</i>, and this something runs throughout the most 
fundamental laws of nature. Behind the blurrin' and buzzin' confusion of data, 
we have discovered a <b>consistent</b> aesthetic behind the various fundamental 
laws. As Weinberg concludes, </font></p>
<blockquote>
  <p><font face="Arial">It is when we study truly fundamental problems that we 
  expect to find beautiful answers. We believe that, if we ask why the world is 
  the way it is and then ask why that answer is the way it is, at the end of 
  this chain of explanations we shall find a few simple principles of compelling 
  beauty. We think this in part because our historical experience teaches us 
  that as we look beneath the surface of things, we find more and more beauty. 
  Plato and the neo-Platonists taught that the beauty we see in nature is a 
  reflection of the beauty of the ultimate, the nous. For us, too, the beauty of 
  present theories is an anticipation, a premonition, of the beauty of the final 
  theory. And, in any case, we would not accept any theory as final unless it 
  were beautiful.<a href="http://www.theism.net/article/25/#foot126" name="tex2html10"><sup><font color="#000000">10</font></sup></a>
  </font></p>
</blockquote>
<p><font face="Arial">This capacity for `premonition' of the final theory is 
possible only because the fundamental principles of physics share a common bias 
toward a specific, learnable form of simplicity. </font></p>
<h3><font face="Arial">The Centrality of Reliability to Representational 
Naturalism </font></h3>
<p><font face="Arial">The representational naturalist holds that knowledge and 
intentionality are entirely natural phenomena, explicable in terms of causal 
relations between brain states and the represented conditions. In the case of 
knowledge, representational naturalism must make use of some form of 
reliability. The distinction between true belief and knowledge turns on 
epistemic norms of some kind. Unlike Platonists, representational naturalists 
cannot locate the basis of such norms in any transcendent realm. Consequently, 
the sort of <i>rightness</i> that qualifies a belief as knowledge must consist 
in some relation between the actual processes by which the belief is formed and 
the state of the represented conditions. Since knowledge is a form of success, 
this relation must involve a form of reliability, an objective tendency for 
beliefs formed in similar ways to represent the world accurately. A 
representational naturalist might make use, as do Dretske, Papineau and Millikan, 
of teleological properties, so long as these are taken to consist in the a set 
of causal and historical relations. Knowledge could then be identified with true 
beliefs formed by processes whose proper functions are fulfilled in normal 
circumstances. However, this teleological account also connects knowledge with 
reliability, since the proper function of belief-forming processes is to form 
true beliefs, so the sort of process which fulfills this proper function must be 
a reliable one. Thus, if representational naturalism is combined with epistemic 
realism about scientific theories, the conjunction of the two theses entails 
that our processes of scientific research and theory choice must reliably 
converge upon the truth. A naturalistic account of intentionality must also 
employ some notion of reliability. The association between belief-states and 
their truth-conditions must, for the representational naturalist, be a matter of 
some sort of natural, causal relation between the two. This association must 
consist in some sort of regular correlation between the belief-state and its 
truth-condition under certain conditions (the `normal' circumstances for the 
belief-state). For example, according to Papineau, beliefs have teleological 
purposes, and these purposes fix their truth conditions, since &quot;beliefs are true 
when they fulfill their purpose of co-varying with the relevant circumstances&quot;<a href="http://www.theism.net/article/25/#foot127" name="tex2html11"><sup><font color="#000000">11</font></sup></a> 
This co-variation of representation and represented condition is what gives the 
capacity for belief is biological value. &quot;According to the natural-selection 
story it is the fact that a belief-type `typically' obtains in certain 
circumstances that will explain our having it in our repertoire...&quot;<a href="http://www.theism.net/article/25/#foot128" name="tex2html12"><sup><font color="#000000">12</font></sup></a> 
This regular association of belief-type and truth-conditions, and the biological 
purposes which the association serves, provide exactly the kind of naturalistic 
explication of intentionality that the representational naturalist requires. 
This regular association is a form of reliability. As Fodor observed: </font>
</p>
<blockquote>
  <p><font face="Arial">... we shall still have this connection between the 
  etiology of representations and their truth values: representations generated 
  in teleologically normal circumstances must be <b>true</b>.
  <a href="http://www.theism.net/article/25/#foot129" name="tex2html13"><sup><font color="#000000">13</font></sup></a>
  </font></p>
</blockquote>
<p><font face="Arial">This reliability is only a conditional reliability: 
reliability under teleological <i>normal</i> circumstances. This condition 
provides the basis for a distinction between knowledge and true belief: an act 
of knowledge that <i>p</i> is formed by processes that reliably track the fact 
that <i>p</i> in the actual circumstances, whereas a belief that <i>p</i> is is 
formed by processes that would reliably track <i>p</i> in normal circumstances. 
It is possible for our reliability to be lost. Conditions can change in such a 
way that teleologically normal circumstances are no longer possible. In such 
cases, our beliefs about certain subjects may become totally unreliable. </font>
</p>
<blockquote>
  <p><font face="Arial">It is the <b>past</b> predominance of true belief over 
  false that is required.... [This] leaves it open that the statistical norm 
  from now on might be falsity rather than truth. One obvious way in which this 
  might come about is through a change in the environment.<a href="http://www.theism.net/article/25/#foot57" name="tex2html14"><sup><font color="#000000">14</font></sup></a>
  </font></p>
</blockquote>
<p><font face="Arial">In addition, there may be specifiable conditions that 
occur with some regularity in which our belief-forming processes are unreliable.
</font></p>
<blockquote>
  <p><font face="Arial">...this link is easily disrupted. Most obviously, there 
  is the point that our natural inclinations to form beliefs will have been 
  fostered by a limited range of environments, with the result that, if we move 
  to new environments, those inclinations may tend systematically to give us 
  false beliefs. To take a simple example, humans are notoriously inefficient of 
  judging sizes underwater.<a href="http://www.theism.net/article/25/#foot130" name="tex2html15"><sup><font color="#000000">15</font></sup></a>
  </font></p>
</blockquote>
<p><font face="Arial">Finally, the reliability involved may not involve a high 
degree of probability. The correlation of belief-type and represented condition 
does not have to be close to 1. As Millikan has observed, &quot;it is conceivable 
that the devices that fix human beliefs fix true ones not on average, but just 
often enough&quot; <a href="http://www.theism.net/article/25/#foot131" name="tex2html16"><sup><font color="#000000">16</font></sup></a> 
For example, skittish animals may form the belief that a predator is near on the 
basis of very slight evidence. This belief will be true only rarely, but it must 
have a better-than-chance probability of truth under normal circumstances, if it 
is to have a representational function at all. Thus, despite these 
qualifications, it remains the case that a circumscribed form of reliable 
association is essential to the naturalistic account of intentionality. The 
reliability is conditional, holding only under normal circumstances, and it may 
be minimal, involving a barely greater-than-chance correlation. Nonetheless, the 
representational naturalist is committed to the existence of a real, objective 
association of the belief-state with its corresponding condition. </font></p>
<h3><font face="Arial">Proof of the Incompatibility </font></h3>
<p><font face="Arial">I claim that the triad of scientific realism (SR), 
representational naturalism (RN), and ontological naturalism (ON) is 
inconsistent, given the theses of the pervasiveness of the simplicity criterion 
in our scientific practices (PS) and the essentiality of reliability as a 
component of naturalistic accounts of knowledge and intentionality. The argument 
for the inconsistency proceeds as follows. </font></p>
<p><font face="Arial">1. SR, RN and ER entail that scientific methods are 
reliable sources of truth about the world. </font></p>
<p><font face="Arial">As I have argued, a representational naturalist must 
attribute some form of reliability to our knowledge- and belief-forming 
practices. A scientific realist holds that scientific theories have objective 
truth-conditions, and that our scientific practices generate knowledge. Hence, 
the combination of scientific realism and representational naturalism entails 
the reliability of our scientific practices. </font></p>
<p><font face="Arial">2. From PS, it follows that simplicity is a reliable 
indicator of the truth about natural laws. </font></p>
<p><font face="Arial">Since the criterion of simplicity as a sine qua non of 
viable theories is a pervasive feature of our scientific practices, thesis 1 
entails that simplicity is a reliable indicator of the truth (at the very least, 
a better-than-chance indicator of the truth in normal circumstances). </font>
</p>
<p><font face="Arial">3. Mere correlation between simplicity and the laws of 
nature is not good enough: reliability requires that there be some causal 
mechanism connecting simplicity and the actual laws of nature. </font></p>
<p><font face="Arial">Reliability means that the association between simplicity 
and truth cannot be coincidental. A regular, objection association must be 
grounded in some form of causal connection. Something must be causally 
responsible for the bias toward simplicity exhibited by the theoretically 
illuminated structure of nature. </font></p>
<p><font face="Arial">4. Since the laws of nature pervade space and time, any 
such causal mechanism must exist outside spacetime. </font></p>
<p><font face="Arial">By definition, the laws and fundamental structure of 
nature pervade nature. Anything that causes these laws to be simple, anything 
that imposes a consistent aesthetic upon them, must be supernatural. </font></p>
<p><font face="Arial">5. Consequently, ON is false. </font></p>
<p><font face="Arial">The existence of a supernatural cause of the simplicity of 
the laws of nature is obviously inconsistent with ontological naturalism. Hence, 
one cannot consistently embrace naturalism and scientific realism. </font></p>
<h3><font face="Arial">Papineau and Millikan on Scientific Realism </font></h3>
<p><font face="Arial">David Papineau and Ruth Garrett Millikan are two 
thoroughgoing naturalists who have explicitly embraced scientific realism. If 
the preceding argument is correct, this inconsistency should show itself somehow 
in their analyses of science. This expectation is indeed fulfilled. For example, 
Papineau recognizes the importance of simplicity in guiding the choice of 
fundamental scientific theories. He also recognizes that his account of 
intentionality entails that a scientific realist must affirm the reliability of 
simplicity as a sign of the truth. Nonetheless, he fails to see the 
incompatibility of this conclusion with his ontological naturalism. Here is the 
relevant passage: </font></p>
<blockquote>
  <p><font face="Arial">...it is plausible that at this level the inductive 
  strategy used by physicists is to ignore any theories that lack a certain kind 
  of <i>physical simplicity</i>. If this is right, then this inductive strategy, 
  when applied to the question of the general constitution of the universe, will 
  inevitably lead to the conclusion that the universe is composed of 
  constituents which display the relevant kind of physical simplicity. And then, 
  once we have reached this conclusion, we can use it to explain why this 
  inductive strategy is reliable. For if the constituents of the world are 
  indeed characterized by the relevant kind of physical simplicity, then a 
  methodology which uses observations to decide between alternatives with this 
  kind of simplicity will <i>for that reason</i> be a reliable route to the 
  truth.<a href="http://www.theism.net/article/25/#foot132" name="tex2html17"><sup><font color="#000000">17</font></sup></a>
  </font></p>
</blockquote>
<p><font face="Arial">In other words, so long as we are convinced that the laws 
of nature <i>just happen to be</i> simple in the appropriate way, we are 
entitled to conclude that our simplicity-preferring methods were <i>reliable</i> 
guides to the truth. However, it seems clear that such a retrospective analysis 
would instead reveal that we succeeded by sheer, dumb luck. By way of analogy, 
suppose that I falsely believed that a certain coin was two-headed. I therefore 
guess that all of the first six flips of the coin will turn out to be heads. In 
fact, the coin is a fair one, and, by coincidence, the five of the first six 
flips did land heads. Would we say in this case that my assumption was a 
reliable guide to the truth about these coin flips? Should we say that its 
reliability was 5/6? To the contrary, we should say that my assumption led to 
very unreliable predictions, and the degree of success that I achieved was due 
to good luck, and nothing more. Analogously, if it is a mere coincidence that 
the laws of nature share a certain form of aesthetic beauty, then our reliance 
upon aesthetic criteria in theory choice is not in any sense reliable, not even 
minimally reliable, not even reliable in ideal circumstances. When we use the 
fact that we have discovered a form of &quot;physical simplicity&quot; in law <i>A</i> as 
a reason for preferring theories of law <i>B</i> which have the same kind of 
simplicity, then our method is reliable only if there is some causal explanation 
of the repetition of this form of simplicity in nature. And this repetition 
necessitates a supernatural cause. Papineau recognizes that we do rely on such 
an assumption of the repetition of simplicity. </font></p>
<blockquote>
  <p><font face="Arial">The account depends on the existence of certain general 
  features which characterize the true answers to questions of fundamental 
  physical theory. Far from being knowable <i>a priori</i>, these features may 
  well be counterintuitive to the scientifically untrained.<a href="http://www.theism.net/article/25/#foot133" name="tex2html18"><sup><font color="#000000">18</font></sup></a>
  </font></p>
</blockquote>
<p><font face="Arial">Through scientific experience, we are &quot;trained&quot; to 
recognize the simplicity shared by the fundamental laws, and we use this 
knowledge to anticipate the form of unknown laws. This projection of experience 
from one law to the next is reliable only if there is some common cause of the 
observed simplicity. Similarly, Millikan believes that nature has trained into 
us (by trial and error learning) certain &quot;principles of generalization and 
discrimination&quot;<a href="http://www.theism.net/article/25/#foot78" name="tex2html19"><sup><font color="#000000">19</font></sup></a> 
the provide us with a solution to the problem of theoretical knowledge that was 
&quot;elegant, supremely general, and powerful, indeed, I believe it was a solution 
that cut to the very bone of the ontological structure of the world.&quot;<a href="http://www.theism.net/article/25/#foot79" name="tex2html20"><sup><font color="#000000">20</font></sup></a> 
However, Millikan seems unaware of just how deep this incision must go. A 
powerful and supremely general solution to the problem of theory choice must 
reach a ground of the common form of the laws of nature, and this ground must 
lie outside the bounds of nature. Papineau and Millikan might try to salvage the 
reliability of a simplicity bias on the grounds that the laws of nature are, 
although uncaused, brute facts, <em>necessarily</em> what they are. If they 
share, coincidentally, a form of simplicity and do so non-contingently, then a 
scientific method biased toward the appropriate form of simplicity will be, 
under the circumstances, a reliable guide to the truth. There are two compelling 
responses to this line of defense. First, there is no reason to suppose that the 
laws of nature are necessary. Cosmologists often explore the consequences of 
models of the universe in which the counterfactual laws hold. Second, an 
unexplained coincidence, even if that coincidence is a brute-fact necessity, 
cannot ground the reliability of a method of inquiry. A method is reliable only 
when there is a causal mechanism that explains its reliability. By way of 
illustration, suppose that we grant the necessity of the past: given the present 
moment, all the actual events of the past are necessary. Next, suppose that a 
particular astrological method generates by chance the exact birthdate of the 
first President of the United States. Since that date is now necessary, there is 
no possibility of the astrological method's failing to give the correct answer. 
However, if there is no causal mechanism explaining the connection between the 
method's working and the particular facts involved in Washington's birth, then 
it would be Pickwickian to count the astrological method as <em>reliable</em> in 
investigating this particular event. Analogously, if the various laws of nature 
just happen, as a matter of brute, inexplicable fact, to share a form of 
simplicity, then, even if this sharing is a matter of necessity, using 
simplicity as a guide in theory choice should not count as reliable. </font></p>
<h3><font face="Arial">The Forster-Sober Account of Simplicity </font></h3>
<p><font face="Arial">In a recent paper,<a href="http://www.theism.net/article/25/#foot134" name="tex2html21"><sup><font color="#000000">21</font></sup></a> 
Malcolm Forster and Elliott Sober offer a justification of the scientific 
preference for simplicity that seems to be compatible with scientific realism 
and yet which does not acknowledge any sense in which simplicity is a reliable 
indicator of the truth. If the Forster-Sober account provides an adequate 
explanation of the role of simplicity without any such reliable connection 
between simplicity and truth, then it would provide a serious challenge to the 
argument of the previous section. As Forster and Sober put it, </font></p>
<blockquote>
  <p><font face="Arial">In the past, the curve fitting problem has posed a 
  dilemma: Either accept a realist interpretation of science at the price of 
  viewing simplicity as an irreducible and <i>a prioristic</i> sign of truth and 
  thereby eschew empiricism, or embrace some form of anti-realism. Akaike's 
  solution to the curve fitting problem dismantles the dilemma. It is now 
  possible to be a realist and an empiricist at the same time.
  <a href="http://www.theism.net/article/25/#foot87" name="tex2html22"><sup><font color="#000000">22</font></sup></a>
  </font></p>
</blockquote>
<p><font face="Arial">The issue for Forster and Sober is realism vs. empiricism, 
whereas for us it is realism vs. naturalism, but it would seem that analogous 
claims could be made on behalf of Akaike's solution. This solution is supposed 
to give the realist some reason for preferring simpler hypotheses that is 
independent of any supposed correlation between simplicity and truth. The Akaike 
solution goes something like this. First,we must assume that all of our 
observations involve a certain amount of noise -- that random observational 
error regularly occurs, and the the error values are normally distributed. We 
divide the possible hypotheses into a finite sequence of families, based on the 
degree of simplicity (measured by the number of parameters that are allowed to 
vary within the family). Instead of selecting the hypothesis that best fits the 
actual data, we instead look for a family of hypotheses with the best 
combination of goodness-of-fit and simplicity, and choose the best fitting 
hypothesis within that set. The rationale for the Akaike criterion is the 
avoidance of <i>overfitting</i>. Since the actual data includes some unknown 
observational error, the curve that best fits the data is unlikely to be the 
true one. It will tend to fit the actual data better than the true curve, which 
is called the `overfitting' of the hypothesis to the data. Balancing 
goodness-of-fit with simplicity is supposed to mitigate this overfitting error. 
Consequently, the realist is given some reason to employ simplicity as a 
desideratum of theory choice without assuming any correlation between simplicity 
and truth. Simpler. low-dimensional families are much smaller than the more 
complex, high-dimensional families. There are therefore two reasons why the more 
complex families are more likely to contain the hypothesis that best fits the 
data: </font></p>
<blockquote>
  <p><font face="Arial">(a) Larger families generally contain curves closer to 
  the truth than smaller families. </font></p>
  <p><font face="Arial">(b) <i>Overfitting:</i> The higher the number of 
  adjustable parameters, the more prone the family is to fit to noise in the 
  data.<a href="http://www.theism.net/article/25/#foot92" name="tex2html23"><sup><font color="#000000">23</font></sup></a>
  </font></p>
</blockquote>
<p><font face="Arial">According to Forster and Sober, we want to favor a family 
of hypotheses if it contains a good fit to the date because of reason (a), but 
not if it contains one because of reason (b). What is needed is an estimate of 
the expected degree of overfitting associated with each family, given the actual 
data. Akaike demonstrated that, under certain special conditions, we can find an
<i>unbiased estimator</i> of this special form of error. By subtracting the 
number of parameters that are allowed to vary within a family from a measure of 
the degree-of-fit of the best-fitting curve within that family (this measure is 
one of log-likelihood or, in special cases, the sum of squares), we can arrive 
at a <b>corrected</b> estimate of the degree of fit of the family to the truth, 
which Forster and Sober call the &quot;expected predictive accuracy&quot; of the family.
<a href="http://www.theism.net/article/25/#foot96" name="tex2html24"><sup><font color="#000000">24</font></sup></a> 
The Akaike criterion tells us to choose the best-fitting hypothesis within the 
family with the greatest expected predictive accuracy. In this way, we have both 
a definite rule for trading-off goodness-of-fit for simplicity, and a plausible 
rationale for making the tradeoff. There are several points to be made in 
response to this solution. First, it is not at all clear that the role of 
simplicity in the kind of curve-fitting practices Forster and Sober discuss is 
at all analogous to the role simplicity plays in our choice of fundamental 
physical theories. As Weinberg observed, the kind of <i>simplicity</i> that 
guides our choice of fundamental theories is not easily defined. It does not 
correspond directly to what Forster and Sober mean by the <i>simplicity</i> of a 
family of hypotheses, viz., the number of variable parameters in the 
corresponding equations. Second, the technical results upon which Forster and 
Sober rely are quite limited in their scope of application, as I. A. Kieseppä 
has demonstrated.<a href="http://www.theism.net/article/25/#foot135" name="tex2html25"><sup><font color="#000000">25</font></sup></a> 
The Aikake estimator of predictive accuracy is valid only when the space of 
hypotheses is carefully circumscribed. For example, it is valid when the space 
of hypotheses includes only polynomial equations, but invalid when it includes 
periodic functions, like the sine wave function.<a href="http://www.theism.net/article/25/#foot136" name="tex2html26"><sup><font color="#000000">26</font></sup></a> 
Third, the rationale for the Akaike criterion is incompatible with the 
reliabilist implications of combining scientific realism with representational 
naturalism. The sort of `scientific realism' that Forster and Sober have in mind 
is much less specific, implying only a concern with the truth of our scientific 
theories. Forster and Sober make no effort to demonstrate that reliance on the 
Akaike criterion leads reliably to the truth. Instead, they provide only a 
rationale that might reasonably motivate a realist to prefer simpler theories. 
Finally, it is far from clear that even this rationale provides a basis for 
preferring simplicity that is genuinely independent of the reliability of 
simplicity as a sign of the truth. As has been pointed out by Kieseppä
<a href="http://www.theism.net/article/25/#foot137" name="tex2html27"><sup><font color="#000000">27</font></sup></a>, 
Scott De Vito <a href="http://www.theism.net/article/25/#foot138" name="tex2html28"><sup><font color="#000000">28</font></sup></a>, 
and Andre Kukla <a href="http://www.theism.net/article/25/#foot139" name="tex2html29"><sup><font color="#000000">
29</font></sup></a>, the Akaike solution presupposes that a determinate 
conception of simplicity is a given. There is no objective, language- and 
representation-independent way of &quot;counting the parameters&quot; associated with a 
given curve. A linear curve is <i>naturally </i>thought of as having a single 
parameter, but this can easily be altered by redescribing the curve or altering 
the coordinate system. Sorting hypotheses into families by simplicity as we 
perceive it reflects a prior and unjustified preference for some hypotheses over 
others. Forster and Sober might insist that the sorting of hypotheses into a 
hierarchy of families is entirely arbitrary or random. As they present the 
argument for the Akaike criterion, all that matters is that the hypotheses be 
sorted into a sequence of families in which the size of the families increases 
exponentially, and that this sorting <b>not</b> be done in an ad hoc fashion, in 
response to the actual data observed. Then, when we observe a relatively small 
family <i>F</i> with a hypothesis <i>h</i> showing a surprisingly good degree of 
fit to the data (surprising, that is, in light of the smallness of <i>F</i>), we 
are supposed to have good reason to believe that <i>F</i> has a high degree of 
predictive accuracy, and, therefore, that we have reason to prefer <i>h</i> over 
other hypotheses with better fit that happen to belong to much larger families. 
However, if it was entirely a matter of chance or caprice that <i>h</i> ended up 
in a small family, and its better-fitting competitors ended up in larger 
families, it is hard to see how <i>h</i>'s good fortune provides us with any 
rational ground for preferring it. To the contrary, the plausibility of the 
Akaike solution depends on our prior conviction that simpler hypotheses (as 
measured by mathematical conventions that have proved reliable at this very 
task) are disproportionately probable. What Forster and Sober give us is a 
principled way of weighing the two competing desiderata of simplicity and 
goodness of fit, but they do not provide us with a rationale for treating 
simplicity as a desideratum in the first place. Consequently, Forster and Sober 
do not provide us with a way of escaping the conclusion that a reliabilist 
conception of scientific realism entails the reliability of simplicity as an 
indicator of the truth. </font></p>
<h3><font face="Arial">Pragmatic Accounts of the Simplicity Criterion </font>
</h3>
<p><font face="Arial">A popular strategy for explaining the role of simplicity 
in scientific theorizing has been to appeal to a variety of pragmatic 
considerations. For example, Reichenbach argued that we favor simpler hypotheses 
because they are easier to represent, to make deductions from, and to use in 
calculations.<a href="http://www.theism.net/article/25/#foot140" name="tex2html30"><sup><font color="#000000">30</font></sup></a> 
More recently, Peter Turney has argued that simpler hypotheses are more likely 
(given the presence of random observational error) to be repeatedly confirmed.<a href="http://www.theism.net/article/25/#foot141" name="tex2html31"><sup><font color="#000000">31</font></sup></a> 
However, these pragmatic justifications again sidestep the central issue, that 
of <b>reliability</b>. If our reliance on simplicity is unreliable, resulting in 
a bias toward simplicity that is not reflected in the constitution of nature, 
then we cannot combine scientific realism with representational naturalism. A 
pragmatic justification of our scientific practice, when combined with 
representational naturalism, yields the conclusion that scientific theories must 
be interpreted non-representationally, either as mere instruments for generating 
empirical predictions, or as conventional constructs valid only for a local 
culture. Pragmatism, by eschewing any commitment to the objective reliability of 
scientific methods, cannot be combined with a naturalistic version of scientific 
realism. </font></p>
<h3><font face="Arial">Conclusion </font></h3>
<p><font face="Arial">Philosophical naturalism, then, can draw no legitimate 
support from the deliverances of natural science, realistically construed, since 
scientific realism entails the falsity of naturalism. If scientific theories are 
construed non-realistically, it seems that the status of ontology cannot be 
affected by the successes of natural science, nor by the form that successful 
theories in the natural sciences happen to take. If scientific anti-realism is 
correct, then the &quot;manifest image&quot; of the scientific worldview must not be taken 
as authoritative. Instead, that image is merely a useful fiction, and 
metaphysics is left exactly as it was before the advent of science. Of course, 
naturalism as a metaphysical programme existed before the development of modern 
science (Democritus, Epicurus, Lucretius) and presumably it would survive the 
downfall of scientific realism. However, modern naturalists owe the rest of us a 
rational basis for their preferences that is independent of science. In fact, 
the situation for the naturalist is even worse than I have described it. To the 
extent that the success of natural science provides support for scientific 
realism (in both its semantic and epistemic versions), to that extent it 
provides grounds for rejecting philosophical naturalism. Thus, conventional 
wisdom has the relationship between natural science and naturalism exactly 
backwards. In fact, the more successes natural science accumulates, the less 
plausible philosophical naturalism becomes. There is a third thesis that is 
often included (especially since Quine) in the definition of naturalism: the 
continuity between the methods of philosophy and those of natural science, which 
we might call &quot;meta-philosophical naturalism&quot;. Scientific anti-realism, when 
combined with meta-philosophical naturalism, leads to the conclusion of 
philosophical anti-realism, since philosophical theories are, according to 
metaphilosophical naturalism, merely a species of scientific theories. This 
means that full-orbed naturalism (ontological + representational + 
metaphilosophical) is a self-defeating position. Full-orbed naturalism is a 
philosophical theory, and yet it entails philosophical anti-realism, which means 
that such theories cannot be known, and do not even purport to represent the 
world. Full-orbed naturalism cannot be true, since if it were true, it would 
entail that no philosophical theory (itself included) could be true. </font></p>
<h3><font face="Arial">Notes </font></h3>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html1" name="foot117"><sup>
<font color="#000000">1</font></sup></a> Steven Weinberg, <i>Dreams of a Final 
Theory: The Scientist's Search for the Ultimate Laws of Nature</i> (New York: 
Vintage Books, 1993), p. 133. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html2" name="foot118"><sup>
<font color="#000000">2</font></sup></a> Weinberg, <i>Dreams of a Final Theory</i>, 
pp. 148-9. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html3" name="foot119"><sup>
<font color="#000000">3</font></sup></a> Weinberg, <i>Dreams of a Final Theory</i>, 
pp. 151-2. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html4" name="foot120"><sup>
<font color="#000000">4</font></sup></a> Weinberg, <i>Dreams of a Final Theory</i>, 
p. 151. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html5" name="foot121"><sup>
<font color="#000000">5</font></sup></a> Weinberg, <i>Dreams of a Final Theory</i>, 
p. 152. &nbsp; </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html6" name="foot122"><sup>
<font color="#000000">6</font></sup></a> Weinberg, <i>Dreams of a Final Theory</i>, 
p. 134. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html7" name="foot123"><sup>
<font color="#000000">7</font></sup></a> Weinberg, <i>Dreams of a Final Theory</i>, 
pp. 148-9. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html8" name="foot124"><sup>
<font color="#000000">8</font></sup></a> Weinberg, <i>Dreams of a Final Theory</i>, 
p. 158. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html9" name="foot125"><sup>
<font color="#000000">9</font></sup></a> Weinberg, <i>Dreams of a Final Theory</i>, 
pp. 158-9. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html10" name="foot126"><sup>
<font color="#000000">10</font></sup></a> Weinberg, <i>Dreams of a Final Theory</i>, 
p. 165. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html11" name="foot127"><sup>
<font color="#000000">11</font></sup></a> David Papineau, <i>Philosophical 
Naturalism</i> (Oxford: Blackwell, 1993), p. 177. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html12" name="foot128"><sup>
<font color="#000000">12</font></sup></a> David Papineau, &quot;Representation and 
Explanation,&quot; <i>Philosophy of Science</i>51(1984):558. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html13" name="foot129"><sup>
<font color="#000000">13</font></sup></a> Jerry A. Fodor, &quot;Semantics, Wisconsin 
Style,&quot; <i>Synthese</i> 59(1984):247. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html14" name="foot57"><sup>
<font color="#000000">14</font></sup></a> David Papineau, &quot;Representation and 
Explanation,&quot; p. 558. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html15" name="foot130"><sup>
<font color="#000000">15</font></sup></a> David Papineau, <i>Philosophical 
Naturalism</i> , p. 100. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html16" name="foot131"><sup>
<font color="#000000">16</font></sup></a> Ruth Garrett Millikan, &quot;Biosemantics,&quot;
<i>Journal of Philosophy</i> 86(1989): 289. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html17" name="foot132"><sup>
<font color="#000000">17</font></sup></a> David Papineau, <i>Philosophical 
Naturalism</i>, p. 166. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html18" name="foot133"><sup>
<font color="#000000">18</font></sup></a> David Papineau, <i>Philosophical 
Naturalism</i> , p. 166. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html19" name="foot78"><sup>
<font color="#000000">19</font></sup></a> Millikan, &quot;Biosemantics,&quot; p. 292.
</font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html20" name="foot79"><sup>
<font color="#000000">20</font></sup></a> Millikan, &quot;Biosemantics,&quot; p. 294
</font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html21" name="foot134"><sup>
<font color="#000000">21</font></sup></a> Malcolm Forster and Elliott Sober, 
&quot;How to Tell when Simpler, More Unified, or Less <i>Ad Hoc</i> Theories will 
Provide More Accurate Predictions,&quot; <i>British Journal for the Philosophy of 
Science</i> 45(1994):1-35. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html22" name="foot87"><sup>
<font color="#000000">22</font></sup></a> Forster and Sober, &quot;How to Tell&quot;, p. 
28. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html23" name="foot92"><sup>
<font color="#000000">23</font></sup></a> Forster and Sober, &quot;How to Tell&quot;, p. 
8. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html24" name="foot96"><sup>
<font color="#000000">24</font></sup></a> Forster and Sober, &quot;How to Tell&quot;, p. 
10. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html25" name="foot135"><sup>
<font color="#000000">25</font></sup></a> I. A. Kieseppä, &quot;Akaike Information 
Criterion, Curve-fitting and the Philosophical Problem of Simplicity,&quot; <i>
British Journal for the Philosophy of Science</i> 48(1997):21-48. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html26" name="foot136"><sup>
<font color="#000000">26</font></sup></a> Kieseppä, &quot;Akaike Information 
Criterion,&quot; pp. 34-37 </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html27" name="foot137"><sup>
<font color="#000000">27</font></sup></a> I. A. Kieseppä, Kieseppä, &quot;Akaike 
Information Criterion,&quot; pp. 21-48. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html28" name="foot138"><sup>
<font color="#000000">28</font></sup></a> Scott De Vito, &quot;A Gruesome Problem for 
the Curve-Fitting Solution,&quot; <i>British Journal for the Philosophy of Science</i> 
48(1997): 391-6. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html29" name="foot139"><sup>
<font color="#000000">29</font></sup></a> André Kukla, &quot;Forster and Sober and 
the Curve-Fitting Problem,&quot; <i>British Journal for the Philosophy of Science</i> 
46(1995):248-52. </font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html30" name="foot140"><sup>
<font color="#000000">30</font></sup></a> Hans Reichenbach, &quot;The pragmatic 
justification of induction,&quot; in <i>Readings in Philosophical Analysis</i>, ed. 
H. Feigl and W. Sellars (New York: Appleton-Century-Crofts, 1949), pp. 305-327.
</font></p>
<p><font size="2" face="Arial"><a href="http://www.theism.net/article/25/#tex2html31" name="foot141"><sup>
<font color="#000000">31</font></sup></a> Peter Turney, &quot;The Curve Fitting 
Problem -- A Solution,&quot; <i>British Journal for the Philosophy of Science</i> 41 
(1990):509-30.
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