“Never attribute to malice that which is adequately explained by stupidity”—so says Hanlon’s Razor. This principle is designed to curb the human tendency toward explaining other people’s behavior by moralizing it. We ask whether Hanlon’s Razor is good or bad advice. After offering a nuanced interpretation of the principle, we critically evaluate two strategies purporting to show it is good advice. Our discussion highlights important, unsettled questions about an idea that has the potential to infuse greater humility and (...) civility into discourse and debate. (shrink)

Occam’s razor is frequently considered to be a cornerstone of the scientific method. Indeed, it was and remains a valuable tool for scientific and philosophical inquiry. However, we provided an overview of some historical instances in which it led science away from a reasonable and sound heuristic approach. Some words of caution are necessary to clarify how, contrary to common belief, a too strict adherence to such a principle did not guarantee scientific rigor but, rather, obstructed further progress.

We begin by presenting William of Ockham's various formulations of his principle of parsimony, Ockham's Razor. We then define a reaction mechanism and tell a personal story of how Ockham's Razor entered the study of one such mechanism. A small history of methodologies related to Ockham's Razor, least action and least motion, follows. This is all done in the context of the chemical (and scientific) community's almost unthinking acceptance of the principle as heuristically valuable. Which is not (...) matched, to put it mildly, by current philosophical attitudes toward Ockham's Razor. What ensues is a dialogue, pro and con. We first present a context for questioning, within chemistry, the fundamental assumption that underlies Ockham's Razor, namely that the world is simple. Then we argue that in more than one pragmatic way the Razor proves useful, without at all assuming a simple world. Ockham's Razor is an instruction in an operating manual, not a world view. Continuing the argument, we look at the multiplicity and continuity of concerted reaction mechanisms, and at principal component and Bayesian analysis (two ways in which Ockham's Razor is embedded into modern statistics). The dangers to the chemical imagination from a rigid adherence to an Ockham's Razor perspective, and the benefits of the use of this venerable and practical principle are given, we hope, their due. (shrink)

Ockham’s Razor advises us to not multiply entities without necessity. Recently, Jonathan Schaffer and Karen Bennett have argued that we ought to replace Ockham’s Razor with the Laser, the principle that only advises us to not multiply fundamental entities without necessity. In this paper, I argue that Ockham’s Razor is preferable to the Laser. I begin by contending that the arguments offered for the Laser by Schaffer and Bennett are unpersuasive. Then I offer two cases of theory (...) assessment that I believe the Razor handles better than the Laser. Finally, I argue that accepting the Laser gives rise to a difficult explanatory challenge: It is difficult to explain why fundamental entities and non-fundamental entities ought to be treated differently in ontological parsimony assessments. A recurring secondary theme of the paper is that the most tempting ways of responding to my arguments frequently result in the Laser losing much of its significance for debates about ontology. Thus, not only is it difficult to defend a preference for the Laser over the Razor, but it is especially difficult to do so while maintaining the Laser’s dialectical significance. (shrink)

This article investigates why Lucretius does not dedicate any section of his poem to atomic size or provide a technical term to describe the concept. This absence is particularly significant because Epicurus’ Letter to Herodotus both uses the term μέγεθος to indicate atomic size and contains a passage reporting specifically on this property. First, the article argues that atomic size and shape are causally redundant in Epicurus’ ontology. Second, it demonstrates that the origin of both shape and size is found (...) in the smallest magnitudes in Epicurean physics, the minima. Drawing on these findings, it concludes that, since atomic size violates the law of parsimony, it is a superfluous entity in the Epicurean system. After analysing passages from the De rerum natura, it suggests that the absence of atomic size in Lucretius may be deliberate. Lucretius’ microphysics works perfectly without introducing a philosophical notion of atomic size, and is more economical and efficient than that of Epicurus. (shrink)

Grice’s Razor is a methodological principle that many philosophers and linguists have used to help justify pragmatic explanations of linguistic phenomena over semantic explanations. A number of authors in the debate over contextualism argue that an invariant semantics together with Grice’s (1975) conversational principles can account for the contextual variability of knowledge claims. I show here that the defense of Grice’s Razor found in these “Gricean invariantists,” and its use against epistemic contextualism, display all the problems pointed out (...) earlier in Davis (1998). The everyday variation in acceptable knowledge claims is better explained in terms of implicature than indexicality, but general conversational principles shed little light on whether ‘know’ is used hyperbolically, meiotically, or loosely in a context, although this issue is crucial in deciding what if anything ‘S knows p’ implicates. I present reasons favoring an account of the representative bank case in terms of loose use, making clear how they differ from Grice’s Razor. (shrink)

Grice’s Razor is a methodological principle that many philosophers and linguists have used to help justify pragmatic explanations of linguistic phenomena over semantic explanations. A number of authors in the debate over contextualism argue that an invariant semantics together with Grice’s (1975) conversational principles can account for the contextual variability of knowledge claims. I show here that the defense of Grice’s Razor found in these “Gricean invariantists,” and its use against epistemic contextualism, display all the problems pointed out (...) earlier in Davis (1998). The everyday variation in acceptable knowledge claims is better explained in terms of implicature than indexicality, but general conversational principles shed little light on whether ‘know’ is used hyperbolically, meiotically, or loosely in a context, although this issue is crucial in deciding what if anything ‘S knows p’ implicates. I present reasons favoring an account of the representative bank case in terms of loose use, making clear how they differ from Grice’s Razor. (shrink)

If I had to say what the single most important contribution Wittgenstein made to philosophy was, it would be to have revived the animal in us: the animal that is there in every fiber of our human being, and therefore also in our thinking and reasoning. This means, his pushing us to realize that we are animals not only genealogically, but as evolved human beings—whether neonate, or language-possessing, civilized, law-abiding, fully fledged adults. Constitutionally, and in everything we do, still fundamentally (...) animals. (shrink)

This article is a discussion of the critical remarks raised by Kristian Bankov in a notion called Bankov’s razor, about some foundational elements of the biosemiotic paradigm. The elaborated form of the “razor” includes three main questions on biosemiotic ideas, namely: 1) the philosophical grounds of the biosemiotic discourse, 2) the scientific output of biosemiotics, and 3) the ethical consequences of some biosemiotic presumptions (this latter, given its scopes and extension, is left for a future occasion). Such (...) questions are commented and challenged by Dario Martinelli, from a point of view that is primarily that of the zoosemiotician, therefore an insider of biosemiotics. In order to set the readers’ expectations in the right direction, it shall perhaps be fair to inform them that the style of the article is rather sui generis, and can hardly be classified within the genre of academic essays. Tones and terminology are more reminiscent of a philosophical pamphlet written in dialogical form. Hopefully, this choice will not compromise the scientific content of the article. (shrink)

THE methodological principle known as Ockham’s Razor is usually formulated as “Entia non sunt multiplicanda praeter necessarium”. However, it is well known that neither this formulation of the principle nor the idea behind it come originally from William of Ockham. This particular formula is due to Leibniz, though Ockham’s works contain equivalent formulas: “Pluralitas non est ponenda sine necessitate”; “Si duae res sufficiunt ad eius veritatem, superfluum est ponere aliam rem”; “Frustra fit per plura, quod potest fieri per pauciora”. (...) But Duns Scotus had also used the same principle before Ockham and he refers it directly to Aristotle. If the Razor belongs to anyone then, it belongs to Aristotle, and the study of its exact meaning and value must begin with Aristotle’s views about it. It is interesting to note, in this respect, that the principle was recognized as Aristotle’s at least until the time of Galileo. Thus in his Dialogue concerning the Two chief World Systems Galileo supports his theory that “diurnal motion belongs to the earth alone rather than to the rest of the universe excepting the earth” by referring to “a very true maxim of Aristotle’s which teaches that ‘frustra fit per plura quod potest fieri per pauciora’.”. (shrink)

:While Bayesian methods are widely used in economics and finance, the foundations of this approach remain controversial. In the contemporary statistical literature Bayesian Ockham’s razor refers to the observation that the Bayesian approach to scientific inference will automatically assign greater likelihood to a simpler hypothesis if the data are compatible with both a simpler and a more complex hypothesis. In this paper I will discuss a problem that results when Bayesian Ockham’s razor is applied to nested economic models. (...) I will argue that previous responses to the problem found in the philosophical literature are unsatisfactory and develop a novel reply to the problem. (shrink)

Ockham Explained is an important and much-needed resource on William of Ockham, one of the most important philosophers of the Middle Ages. His eventful and controversial life was marked by sharp career moves and academic and ecclesiastical battles. At 28, Ockham was a conservative English theologian focused obsessively on the nature of language, but by 40, he had transformed into a fugitive friar, accused of heresy, and finally protected by the German emperor as he composed incendiary treatises calling for strong (...) limits on papal authority. This book provides a thorough grounding in Ockham’s life and his many contributions to philosophy. It begins with an overview of the philosopher's youth and the Aristotelian philosophy he studied as a boy. Subsequent chapters cover his ideas on language and logic; his metaphysics and vaunted "razor," as well as his opponents’ "anti-razor" theories; his invention of the church-state separation; and much more. The concluding chapter sums up Ockham's compelling philosophical personality and explains his modern appeal. (shrink)

THE methodological principle known as Ockham’s Razor is usually formulated as “Entia non sunt multiplicanda praeter necessarium”. However, it is well known that neither this formulation of the principle nor the idea behind it come originally from William of Ockham. This particular formula is due to Leibniz, though Ockham’s works contain equivalent formulas: “Pluralitas non est ponenda sine necessitate”; “Si duae res sufficiunt ad eius veritatem, superfluum est ponere aliam rem”; “Frustra fit per plura, quod potest fieri per pauciora”. (...) But Duns Scotus had also used the same principle before Ockham and he refers it directly to Aristotle. If the Razor belongs to anyone then, it belongs to Aristotle, and the study of its exact meaning and value must begin with Aristotle’s views about it. It is interesting to note, in this respect, that the principle was recognized as Aristotle’s at least until the time of Galileo. Thus in his Dialogue concerning the Two chief World Systems Galileo supports his theory that “diurnal motion belongs to the earth alone rather than to the rest of the universe excepting the earth” by referring to “a very true maxim of Aristotle’s which teaches that ‘frustra fit per plura quod potest fieri per pauciora’.”. (shrink)

Notes that the question of materialism's adequacy as a solution to the mind-body problem is important in psychology as fields supported by eliminative materialism aim to "cannibalize" psychology . A common argument for adopting a materialistic worldview, termed the "Raze Dualism argument" in reference to Ockham's razor, is based on the principle of parsimony. It states that materialism is to be considered the superior solution to the mind-body problem because it is simpler than the dualist alternative. In this paper, (...) a prominent version of this argument is critiqued via an analysis of each of its premises. Illustrative in general of the limitations of materialism, this argument is undermined by assumptions which do not withstand scrutiny. First, Ockham's razor is shown to be a problematic principle. Second, the question of empirical superiority or equality is unresolved. Finally, there are other alternatives to materialism that are equally parsimonious, such as idealism. The result of the argument is to reopen the case for idealism and dualism and to force the issue to be determined on other grounds. 2012 APA, all rights reserved). (shrink)

Ockham's razor is one of the best-known and most useful tools in the philosopher's toolkit. Here Sharon Kaye explains how the razor works, and also how it may have come by its name.

Nelson Goodman's new riddle of induction forcefully illustrates a challenge that must be confronted by any adequate theory of inductive inference: provide some basis for choosing among alternative hypotheses that fit past data but make divergent predictions. One response to this challenge is to distinguish among alternatives by means of some epistemically significant characteristic beyond fit with the data. Statistical learning theory takes this approach by showing how a concept similar to Popper's notion of degrees of testability is linked to (...) minimizing expected predictive error. In contrast, formal learning theory appeals to Ockham's razor, which it justifies by reference to the goal of enhancing efficient convergence to the truth. In this essay, I show that, despite their differences, statistical and formal learning theory yield precisely the same result for a class of inductive problems that I call strongly VC ordered, of which Goodman's riddle is just one example. (shrink)

In recent times it has become common to encounter philosophers who recommend the replacement of one principle concerning theory choice, Ockham’s Razor, with another: the Laser. Whilst the Razor tells us not to multiply entities beyond necessity, the Laser tells us only to avoid multiplying fundamental entities beyond necessity. There appear to be seven arguments in the literature for the Laser. They divide into three categories: arguments from the nature of non-fundamentality attempt to motivate the Laser by appeal (...) to various observations about what it is to be non-fundamental; arguments from cases describe hypothetical or actual cases, and allege that only the Laser accords with our intuitive judgements about them; and arguments from analogy claim that ontological parsimony is analogous to conceptual economy, and that this analogy recommends the Laser. I provide novel responses to each of the extant arguments for the Laser, and conclude that there is currently no good reason for replacing the Razor with the Laser. (shrink)

Computer scientists have provided a distinct justification of Occam’s Razor. Using the probably approximately correct framework, they provide a theorem that they claim demonstrates that we should favor simpler hypotheses. The argument relies on a philosophical interpretation of the theorem. I argue that the standard interpretation of the result in the literature is misguided and that a better reading does not, in fact, support Occam’s Razor at all. To this end, I state and prove a very similar (...) theorem that, if interpreted the same way, would justify the contradictory Anti-Occam’s Razor—the principle that we should favor more complex hypotheses. (shrink)

Nelson Goodman’s new riddle of induction forcefully illustrates a challenge that must be confronted by any adequate theory of inductive inference: provide some basis for choosing among alternative hypotheses that fit past data but make divergent predictions. One response to this challenge is to distinguish among alternatives by means of some epistemically significant characteristic beyond fit with the data. Statistical learning theory takes this approach by showing how a concept similar to Popper’s notion of degrees of testability is linked to (...) minimizing expected predictive error. In contrast, formal learning theory appeals to Ockham’s razor, which it justifies by reference to the goal of enhancing efficient convergence to the truth. In this essay, I show that, despite their differences, statistical and formal learning theory yield precisely the same result for a class of inductive problems that I call strongly VC ordered , of which Goodman’s riddle is just one example. (shrink)

Algorithmic information theory gives an idealized notion of compressibility that is often presented as an objective measure of simplicity. It is suggested at times that Solomonoff prediction, or algorithmic information theory in a predictive setting, can deliver an argument to justify Occam’s razor. This article explicates the relevant argument and, by converting it into a Bayesian framework, reveals why it has no such justificatory force. The supposed simplicity concept is better perceived as a specific inductive assumption, the assumption of (...) effectiveness. It is this assumption that is the characterizing element of Solomonoff prediction and wherein its philosophical interest lies. (shrink)

Someone can be forgiven for assuming that a person who confesses to a crime is probably the person who committed it. One need not be as incurious as Sheriff Lamb, in Veronica Mars, to recognize that the probability of a person falsely confessing to a murder is pretty low. One can arrive at this conclusion through a process known to philosophers as inductive reasoning. Inductive reasoning is contrasted with deductive reasoning, which typically begins from a general statement of principle and (...) moves to a more specific conclusion. Despite Veronica's expertise in the use of Occam's razor and avoidance of Occam's broom, there are occasions when Veronica is wrong, not just because she doesn't have all the facts, but because she's the victim of her own cognitive biases. Her brain leads her astray, causing her to apply reasoning that is clearly flawed. (shrink)

When philosophers discuss the topic of explanation, they usually have in mind the following question: given the beliefs one has and some proposition that one wishes to explain, which subset of the beliefs constitutes an explanation of the target proposition? That is, the philosophical ‘problem of explanation’ typically has bracketed the issue of how one obtains the beliefs; they are taken as given. The problem of explanation has been the problem of understanding the relation ‘x explains y’. Since Hempel (...) did so much to canonize this way of thinking about explanation, it deserves to be called ‘Hempel's problem’. (shrink)

When philosophers discuss the topic of explanation, they usually have in mind the following question: given the beliefs one has and some proposition that one wishes to explain, which subset of the beliefs constitutes an explanation of the target proposition? That is, the philosophical ‘problem of explanation’ typically has bracketed the issue of how one obtains the beliefs; they are taken as given. The problem of explanation has been the problem of understanding the relation ‘x explains y’. Since Hempel (...) did so much to canonize this way of thinking about explanation, it deserves to be called ‘Hempel's problem’. (shrink)

In discussions about the existence of God, it is sometimes claimed that the progress of science has removed the need for God. This paper uses a Bayesian analysis of Ockham’s razor to formulate and evaluate this argument, which is referred to as the science explains away God argument. Four different strategies for responding to this argument are presented and evaluated. It is argued that one of these strategies highlights how difficult it is to show that the conditions for applying (...) Ockham’s razor are satisfied and hence why SEAGA is very unlikely to succeed. (shrink)

This paper discusses the role that appeals to theoretical simplicity have played in the debate between nativists and empiricists in cognitive science. Both sides have been keen to make use of such appeals in defence of their respective positions about the structure and ontogeny of the human mind. Focusing on the standard simplicity argument employed by empiricist-minded philosophers and cognitive scientists—what I call “the argument for minimal innateness”—I identify various problems with such arguments—in particular, the apparent arbitrariness of the relevant (...) notions of simplicity at work. I then argue that simplicity ought not be seen as a theoretical desideratum in its own right, but rather as a stand-in for other desirable features of theories. In this deflationary vein, I argue that the best way of interpreting the argument for minimal innateness is to view it as an indirect appeal to various potential biological constraints on the amount of innate structure that can wired into the human mind. I then consider how nativists may respond to this biologized version of the argument, and discuss the role that similar biological concerns have played in recent nativist theorizing in the Minimalist Programme in generative linguistics. (shrink)

Sometimes philosophers have been misunderstood. It could be because the philosopher's communication was vague. It could also be because the philosopher didn't use Ockham's razor and multiplied terms unnecessarily forcing reviewers to impose the razor, with the result that what needs to be cut is not cut and what was essential is taken out of the equation. This article cites two cases, one of the Indian thinker M.M. Thomas and other of Peter Van Inwagen, who claimed that their (...) thoughts were misrepresented by some other well known thinker. (shrink)

To some students this method was too uncompromising for human frailty. To others, while chastening almost to despair, it was immensely stimulating; and the writer of this notice, who had the privilege of working with him for three years, falls emphatically in the latter group. Joachim was a remark able teacher who had no use for the arts and devices of the teacher. He gained his effect through the purgative influence on his pupils of his rare singleness of mind. Frail (...) of body, shy, deficient in animal spirits, he was still so obviously and wholly interested in the truth of the matter, so scrupulous in scholarship, and so just in statement, so incapable of glossing over difficulties with rhetoric, so reverent of the great philosophers and so modest about himself, that one's hours with him were memorable lessons in the patience and the discipline of good work. Though the discipline was rigorous, one was given to feel that something of great price lay at the end, nothing less indeed than a vision of reality. Logic in his hands was no mere razor-honing, nor was it a manipulation of symbols according to rules, nor yet a rattling of semantical dry bones; it was a study of the nature and conditions of intelligibility. And since intelligibility reached its high point in philosophy, he chose to study logic by studying the ideals of understanding implicit in the great philosophers. For his own part, the test of any theory was its power to maintain itself in the light of reflectively ordered experience as a whole, and hence he would not have regarded his classical learning, his studies in German literature, or even his virtuosity on the violin as wholly alien to his thought. He belonged to the tradition in which philosophy, if not identical with wisdom, at least carried it as a corollary. (shrink)

In this thesis I investigate the theoretical possibility of a universal method of prediction. A prediction method is universal if it is always able to learn from data: if it is always able to extrapolate given data about past observations to maximally successful predictions about future observations. The context of this investigation is the broader philosophical question into the possibility of a formal specification of inductive or scientific reasoning, a question that also relates to modern-day speculation about a fully (...) automatized data-driven science. I investigate, in particular, a proposed definition of a universal prediction method that goes back to Solomonoff and Levin. This definition marks the birth of the theory of Kolmogorov complexity, and has a direct line to the information-theoretic approach in modern machine learning. Solomonoff's work was inspired by Carnap's program of inductive logic, and the more precise definition due to Levin can be seen as an explicit attempt to escape the diagonal argument that Putnam famously launched against the feasibility of Carnap's program. The Solomonoff-Levin definition essentially aims at a mixture of all possible prediction algorithms. An alternative interpretation is that the definition formalizes the idea that learning from data is equivalent to compressing data. In this guise, the definition is often presented as an implementation and even as a justification of Occam's razor, the principle that we should look for simple explanations. The conclusions of my investigation are negative. I show that the Solomonoff-Levin definition fails to unite two necessary conditions to count as a universal prediction method, as turns out be entailed by Putnam's original argument after all; and I argue that this indeed shows that no definition can. Moreover, I show that the suggested justification of Occam's razor does not work, and I argue that the relevant notion of simplicity as compressibility is already problematic itself. (shrink)