Let us begin with the simple observation that applied mathematics can be very tough! It is a common occurrence that basic physical principle instructs us to construct some syntactically simple set of differential equations, but it then proves almost impossible to extract salient information from them. As Charles Peirce once remarked, you can’t get a set of such equations to divulge their secrets by simply tilting at them like Don Quixote. As a consequence, applied mathematicians are often forced to pursue (...) roundabout and shakily rationalized expedients if any useful progress is to be made. Often these provisional and quasi-empirical procedures within applied mathematics loom large in motivating the “anti-realist” or “anti-unificationist” conclusions of Nancy Cartwright and allied authors. (shrink)

It is common orthodoxy among internalists and externalists alike that knowledge is lost or defeated in situations involving misleading evidence of a suitable kind. But making sense of defeat has seemed to present a particular challenge for those who reject an internalist justification condition on knowledge. My main aim here is to argue that externalists ought to take seriously a view on which knowledge can be retained even in the face of strong seemingly defeating evidence. As an instructive example, I (...) first discuss whether a theory on which knowledge is belief that is safe from error has the resources for accommodating defeat. I argue that beliefs retained in defeat cases need not be unsafe or true in some accidental way. I then discuss externalist strategies for explaining why we have incorrect intuitions about defeat. The notion of an epistemically reasonable subject plays a central role in my theory. Reasonable subjects adopt general strategies that are good for acquiring true belief and knowledge across a wide range of normal cases, but stubbornly retaining belief in the face of new evidence does not reflect such policies. I argue that though the methods employed by subjects who fail to adjust their beliefs in defeat cases may be perfectly good, they are not good methods to adopt, as their adoption is accompanied by bad dispositions. What emerges is a view on which a subject can know despite being unreasonable, and despite failing to manifest dispositions to know across normal cases. Unreasonable subjects are genuinely criticisable, but like almost anything, knowledge can sometimes be achieved in the absence of a good general strategy. (shrink)

How ought we to evaluate and respond to expressions of anger and resentment? Can philosophical analysis of resentment as the emotional expression of a moral claim help us to distinguish which resentments ought to be taken seriously? Philosophers have tended to focus on what I call ‘reasonable’ resentments, presenting a technical, narrow account that limits resentment to the expression of recognizable moral claims. In the following paper, I defend three claims about the ethics and politics of resentment. First, if we (...) care about socially just processes of reconciliation, we have good reason to pay attention to the logic of resentments. Second, the account philosophers offer of resentment – its distinctive features, aims, rationality, and gratification – will affect the conclusions we draw about which actual resentments to take seriously, which aspects of resentful claims need addressing, and what it means to address and repair them. In contesting definitions of resentment, I argue, we do more than simply perform housekeeping in philosophical taxonomies of emotion. Restricting our understanding to essentially ‘moral’ cases may cause us to lose sight of expressly political resentments. Instead, I argue, a plausible account of resentment must acknowledge that we resent violations and threats that are not necessarily self-pertaining, may not be expressible as individual, discrete injuries, and cannot always be construed as moral threats. Second, given the dependence of moral judgments on a broader horizon of moral possibility, philosophical standards of ‘reasonable’ or ‘appropriate’ resentment cannot avoid being politically charged. Thus, the widely accepted account of ‘reasonable’ resentment cannot make philosophical sense of the most interesting and perplexing cases. Ironically, a theoretical measure designed to revalue emotional expressions of moral protest may result in the exclusion and silencing of those with the most reasons to protest. (shrink)

Psychopaths are renowned for their immoral behavior. They are ideal candidates for testing the empirical plausibility of moral theories. Many think the source of their immorality is their emotional deficits. Psychopaths experience no guilt or remorse, feel no empathy, and appear to be perfectly rational. If this is true, sentimentalism is supported over rationalism. Here, I examine the nature of psychopathic practical reason and argue that it is impaired. The relevance to morality is discussed. I conclude that rationalists can explain (...) the moral deficits of psychopaths as well as sentimentalists. In the process, I identify psychological structures that underpin practical rationality. (shrink)

In Metaphysics A, Aristotle offers some objections to Plato’s theory of Forms to the effect that Plato’s Forms would not be explanatory in the right way, and seems to suggest that they might even make the explanatory project worse. One interesting historical puzzle is whether Aristotle can avoid these same objections to his own theory of universals. The concerns Aristotle raises are, I think, cousins of contemporary concerns about the usefulness and explanatoriness of abstract objects, some of which have recently (...) been receiving attention in the philosophy of mathematics. After discussing Aristotle’s objections and their contemporary cousins, the paper discusses some of the main available lines of response to these sorts of challenges, before concluding with an examination of whether these responses could assist Plato or Aristotle in responding to these challenges. (shrink)

This paper aims to clarify some conceptual aspects of decoherence that seem largely overlooked in the recent literature. In particular, I want to stress that decoherence theory, in the standard framework, is rather silent with respect to the description of (sub)systems and associated dynamics. Also, the selection of position basis for classical objects is more problematic than usually thought: while, on the one hand, decoherence offers a pragmatic-oriented solution to this problem, on the other hand, this can hardly be seen (...) as a genuine ontological explanation of why the classical world is position-based. This is not to say that decoherence is not useful to the foundations of quantum mechanics; on the contrary, it is a formidable weapon, as it accounts for a realistic description of quantum systems. That powerful description, however, becomes manifest when decoherence theory itself is interpreted in a realist framework of quantum mechanics. (shrink)

Psychopaths are renowned for their immoral behavior. They are ideal candidates for testing the empirical plausibility of moral theories. Many think the source of their immorality is their emotional deficits. Psychopaths experience no guilt or remorse, feel no empathy, and appear to be perfectly rational. If this is true, sentimentalism is supported over rationalism. Here, I examine the nature of psychopathic practical reason and argue that it is impaired. The relevance to morality is discussed. I conclude that rationalists can explain (...) the moral deficits of psychopaths as well as sentimentalists. In the process, I identify psychological structures that underpin practical rationality. (shrink)

Unreason will arm readers with scientific knowledge to curb the misinformation and misconceptions that increasingly threaten our civil discourse. Even further, these essays present a way for us to be better citizens, equipped to deal with the winds of misinformation and disinformation swirling about us and better able to look ahead to a world where science and reason-indeed just good old common sense-can prevail.

In a paper titled, “The Unreasonable Effectiveness of Mathematics”, published 20 years after Wigner’s seminal paper, the mathematician Richard W. Hamming discussed what he took to be Wigner’s problem of Unreasonable Effectiveness and offered some partial explanations for this phenomenon. Whether Hamming succeeds in his explanations as answers to Wigner’s puzzle is addressed by other scholars in recent years I, on the other hand, raise a more fundamental question: does Hamming succeed in raising the same question as Wigner? (...) The answer is no. My goal is to show that Hamming’s reading misses Wigner’s highly original formulation of the problem.Through a close and contextual reading of Wigner’s work, as I will show, we are led in new directions in addressing and solving the applicability problem. (shrink)

The attempts of theoretically solving the famous puzzle-dictum of physicist Eugene Wigner regarding the “unreasonable” effectiveness of mathematics as a problem of analytical philosophy, started at the end of the 19th century, are yet far from coming out with an acceptable theoretical solution. The theories developed for explaining the empirical “miracle” of applied mathematics vary in nature, foundation and solution, from denying the existence of a genuine problem to structural theories with an advanced level of mathematical formalism. Despite this (...) variation, methodologically fundamental questions like “Which is the adequate theoretical framework for solving Wigner’s conjecture?” and “Can the logico-mathematical formalism solve it and is it entitled to do it?” did not receive answers yet. The problem of the applicability of mathematics in the physical reality has been treated unitarily in some sense, with respect to the semantic-conceptual use of the constitutive terms, within both the structural and non-structural theories. This unity (of consistency) applied to both the referred objects and concepts per se and the aims of the investigations. For being able to make an objective study of the possible alternatives of the existent theories, a foundational approach of them is needed, including through semantic-conceptual distinctions which to weaken the unity of consistency. (shrink)

Much mainstream analytic epistemology is built around a sceptical treatment of modality which descends from Hume. The roots of this scepticism are argued to lie in Hume’s (nominalist) theory of perception, which is excavated, studied and compared with the very different (realist) theory of perception developed by Peirce. It is argued that Peirce’s theory not only enables a considerably more nuanced and effective epistemology, it also (unlike Hume’s theory) does justice to what happens when we appreciate a proof in mathematics.

Some contemporary theories treat phenomena like weakness of will, compulsion and wantonness as practical failures but not as failures of rationality: say, as failures of autonomy or whatever. Other current theories-the majority see the phenomena as failures of rationality but not as distinctively practical failures. They depict them as always involving a theoretical deficiency: a sort of ignorance, error, inattention or illogic. They represent them as failures which are on a par with breakdowns of theoretical reason; the failures may not (...) have exact theoretical analogues, exact analogues in the breakdown of belief, but they are of essentially the same, cognitive kind. Our approach gives us quite a different view of things. The pathologies which we identify in our taxonomy are distinctively rational failures and distinctively practical failures; they are failures of pure practical reason. (shrink)

The philosophical problem that stems from the successful application of mathematics in the empirical sciences has recently attracted growing interest within philosophers of mathematics and philosophers of science. Nevertheless, little attention has been devoted to the converse applicability issue of how physical considerations find successful application in mathematics. In this article, focusing on some case studies, I address the latter issue and argue that some successful applications of physics to mathematics essentially depend on the use of conservation principles. I conclude (...) with a short discussion of how the successful interplay between conservation principles and mathematics can be accounted for. (shrink)

This book provides a postmodernist critique of philosophy through ecological limitationism and common-sense realism. The authors demonstrate the reality of life, the world and the primacy of practice in relation to the failings of Anglo-American analytic philosophy to meet the challenges of the age.

Catholic end-of-life ethics does not contain a principle that prohibits the excessive use of medical treatment for declining and dying patients. This article fills this lacuna by exploring and developing the principle of unreasonable means. Unreasonable means are present when the burdens to the patient and community far outpace the benefits to the patient and when the use of such means directly or indirectly limits another patient’s access to ordinary means. Unreasonable means reinforce the redistribution of limited (...) medical resources from the poor to the wealthy and from the global south to the global north. The principle of unreasonable means guides individual patients and medical proxies to preferentially opt for the morally ordinary medical needs of others before the patient’s own extraordinary medical needs. The principle underscores the need for patients and proxies to incorporate justice and the common good into end-of-life decisions. (shrink)

The paper gives an impression of the multi-dimensionality of mathematics as a human activity. This 'phenomenological' exercise is performed within an analytic framework that is both an expansion and a refinement of the one proposed by Kitcher. Such a particular tool enables one to retain an integrated picture while nevertheless welcoming an ample diversity of perspectives on mathematical practices, that is, from different disciplines, with different scopes, and at different levels. Its functioning is clarified by fitting in illustrations based on (...) actual research. (shrink)

Biometrics has done damage with levels of R or p or Student’s t. The damage widened with Ronald A. Fisher’s victory in the 1920s and 1930s in devising mechanical methods of “testing,” against methods of common sense and scientific impact, “oomph.” The scale along which one would measure oomph is particularly clear in biomedical sciences: life or death. Cardiovascular epidemiology, to take one example, combines with gusto the “fallacy of the transposed conditional” and what we call the “sizeless stare” of (...) statistical significance. Some medical editors have battled against the 5% philosophy, as did, for example, Kenneth Rothman, the founder of Epidemiology. And decades ago a sensible few in education, ecology, and sociology initiated a “significance test controversy.” But, grantors, journal referees, and tenure committees in the statistical sciences had faith that probability spaces can substitute for scientific judgment. A finding of p <.05 is deemed to be “better” for variable X than p <.11 for variable Y. It is not. It depends on the oomph of X and Y—the effect size, size judged in the light of how much it matters for scientific or clinical purposes. In 1995 a Cancer Trialists’ Collaborative Group, for example, came to a rare consensus on effect size: 10 different studies had agreed that a certain drug for treating prostate cancer can increase patient survival by 12%. An 11th study published in the New England Journal in 1998 dismissed the drug. The dismissal was based on a t-test, not on what William Gosset had called, against Ronald A. Fisher’s machinery, “real” error. (shrink)

Philosophy & Social Criticism, Volume 48, Issue 9, Page 1226-1246, November 2022. In this study, we claim that political liberalism, despite harsh criticism, is still the best option available for providing a just and stable society. However, we maintain that political liberalism needs to be revised so as to be justifiable from the perspective of not only the “reasonable” in a Rawlsian sense but also the ones whom Rawls labels as “unreasonable.” To support our claim, going beyond Rawls’s original (...) account, we unpack the concept of unreasonableness and identify three different subsets that we label as the “partially reasonable,” the “non-reasonable,” and the “unreasonable.” We argue that both the “fully” reasonable and the “partially reasonable” would be included into the constituency of public justification; more specifically, we claim that the latter would support liberal institutions out of their reasons: we define these reasons as mutually intelligible reasons and claim that they allow to acknowledge the importance of a convergence approach to public justification. As for the “non-reasonable” and “unreasonable,” we claim that they cannot be included in the constituency of public justification, but they nonetheless could be compliant with liberal institutions if political liberalism offers them some reasons to comply: here, we claim that political liberalism should include them through engagement and propose reasoning from conjecture as an effecting way of offering reasons for compliance. In particular, we claim that through reasoning from conjecture, the “non-reasonable” could find conciliatory reasons to comply with liberal institutions on a stable base. With regard to the “unreasonable” in the strict sense, we claim that through reasoning from conjecture, their unreasonableness could be contained and they could find reasons—even if just self-interested—for complying with liberal institutions rather than defying them. In our discussion, we consider the different subsets not as “frozen” but as dynamic and open to change, and we aim to propose a more complex and multilayered approach to inclusion that would be able to include a wider set of people. To strengthen our argument, we show that the need for a wider public justification and for broader inclusion in liberal societies is grounded in respect for persons both as equal persons and as particular individuals. In particular, we claim that individuals’ values, ends, commitments, and affiliations activate demands of respect and can strengthen the commitment to the liberal–democratic order. Through a reformulation of the role of respect in liberal societies, we also show a kind of social and communitarian dimension that, we claim, is fully compatible with political liberalism and opens it up to “civic friendship” and “social solidarity,” which are constitutive elements for the development of a sense of justice and for the realization of a just and stable society. (shrink)

Resumen: El artículo explica el funcionamiento del discurso dominante y su sistema de referencias en Macario (El llano en llamas, 1953) de Juan Rulfo (1917-1986). Se propone una lectura del cuento en tanto alegoría de la dominación de una dictadura y del estado de alienación sufrido por el pueblo mexicano durante el período inmediatamente anterior a la Revolución mexicana (1910). Para conseguir tal propósito, se analiza ampliamente el estatus sociosemiótico del sujeto hablante y la red de convergencia de los signos (...) que lo definen. Se logra así poner de relieve una precisa codificación de las elaboraciones sociales en la estructura discursiva, que permea la percepción desplegada por la figura del sujeto de la enunciación. Abstract: The article explains the functioning of the dominant discourse and its system of references in Macario (El llano en llamas, 1953) by Juan Rulfo (1917-1986). It proposes a reading of the story as an allegory of the domination of a dictatorship and the state of alienation suffered by the Mexican people during the period immediately preceding the Mexican Revolution (1910). To achieve this purpose, the socio-semiotic status of the speaking subject and the convergence network of the signs that define it are widely analyzed. Thus, it is possible to highlight a precise codification of social elaborations in the discursive structure, which permeates the perception displayed by the figure of the subject of the enunciation. (shrink)

Proponents of political liberalism standardly assume that the citizens of an ideal liberal society would be overwhelmingly reasonable. I argue that this assumption violates political liberalism's own constraints of realism—constraints that are necessary to frame the central problem that political liberalism aims to solve, that is, the problem of reasonable pluralism. To be consistent with these constraints, political liberalism must recognize that, as with reasonable pluralism, widespread support for unreasonable moral and political views is an inevitable feature of any (...) liberal society. I call this the fact of unreasonable pluralism. This fact threatens Rawlsian political liberalism's account of stability because an overlapping consensus cannot stably order a society pervaded by unreasonable views. My argument also raises questions about the coherence of Rawls's conception of ideal theory. (shrink)

Prologue. It is evident from the title that this is a philosophical discussion. I shall not apologize for the philosophy, though I am well aware that most scientists, engineers, and mathematicians have little regard for it; instead, I shall give this short prologue to justify the approach.

Philosophy & Social Criticism, Volume 48, Issue 9, Page 1226-1246, November 2022. In this study, we claim that political liberalism, despite harsh criticism, is still the best option available for providing a just and stable society. However, we maintain that political liberalism needs to be revised so as to be justifiable from the perspective of not only the “reasonable” in a Rawlsian sense but also the ones whom Rawls labels as “unreasonable.” To support our claim, going beyond Rawls’s original (...) account, we unpack the concept of unreasonableness and identify three different subsets that we label as the “partially reasonable,” the “non-reasonable,” and the “unreasonable.” We argue that both the “fully” reasonable and the “partially reasonable” would be included into the constituency of public justification; more specifically, we claim that the latter would support liberal institutions out of their reasons: we define these reasons as mutually intelligible reasons and claim that they allow to acknowledge the importance of a convergence approach to public justification. As for the “non-reasonable” and “unreasonable,” we claim that they cannot be included in the constituency of public justification, but they nonetheless could be compliant with liberal institutions if political liberalism offers them some reasons to comply: here, we claim that political liberalism should include them through engagement and propose reasoning from conjecture as an effecting way of offering reasons for compliance. In particular, we claim that through reasoning from conjecture, the “non-reasonable” could find conciliatory reasons to comply with liberal institutions on a stable base. With regard to the “unreasonable” in the strict sense, we claim that through reasoning from conjecture, their unreasonableness could be contained and they could find reasons—even if just self-interested—for complying with liberal institutions rather than defying them. In our discussion, we consider the different subsets not as “frozen” but as dynamic and open to change, and we aim to propose a more complex and multilayered approach to inclusion that would be able to include a wider set of people. To strengthen our argument, we show that the need for a wider public justification and for broader inclusion in liberal societies is grounded in respect for persons both as equal persons and as particular individuals. In particular, we claim that individuals’ values, ends, commitments, and affiliations activate demands of respect and can strengthen the commitment to the liberal–democratic order. Through a reformulation of the role of respect in liberal societies, we also show a kind of social and communitarian dimension that, we claim, is fully compatible with political liberalism and opens it up to “civic friendship” and “social solidarity,” which are constitutive elements for the development of a sense of justice and for the realization of a just and stable society. (shrink)

In this article I look for an alternative way in which ‘unreasonable’ people may be included in a liberal society. Differing from Rawls, whose reasonable hope is for unreasonable people gradually to adhere to liberal institutions so that, over time, an overlapping consensus is reached, I propose the alternative way of them supporting these institutions as a special modus vivendi, which does not require them to renounce their non-reasonableness. First I detail the Rawlsian notion of reasonableness and unreasonableness; (...) second, I discuss how the treatment of the unreasonable is addressed by Rawls; third, taking inspiration from two accounts of how to consider the ‘unreasonable’ within a liberal society, I maintain that a subset of ‘unreasonable’ (I call them ‘non-reasonable’) may be included in public debate; fourth, I propose that their way of inclusion is a stable modus vivendi. (shrink)

I present a reconstruction of Eugene Wigner’s argument for the claim that mathematics is ‘unreasonable effective’, together with six objections to its soundness. I show that these objections are weaker than usually thought, and I sketch a new objection.

In The March of Unreason, Dick Taverne expresses his concern that irrationality is on the rise in Western society, and argues that public opinion is increasingly dominated by unreflecting prejudice and an unwillingness to engage with factual evidence. Discussing topics such as genetically modified crops and foods, organic farming, the MMR vaccine, environmentalism, the precautionary principle, and the new anti-capitalist and anti-globalization movements, he argues that the rejection of the evidence-based approach nurtures a culture of suspicion, distrust, and cynicism, and (...) leads to dogmatic assertion and intolerance. Science, with all the benefits it brings, is an essential part of a civilized and democratic society: it offers the most hopeful future for humankind. (shrink)

Aesthetic non-inferentialism is the widely-held thesis that aesthetic judgements either are identical to, or are made on the basis of, sensory states like perceptual experience and emotion. It is sometimes objected to on the basis that testimony is a legitimate source of such judgements. Less often is the view challenged on the grounds that one’s inferences can be a source of aesthetic judgements. This paper aims to do precisely that. According to the theory defended here, aesthetic judgements may be unreasoned, (...) insofar as they are immediate judgements made on the basis of, and acquiring their justification from, causally prior sensory states. Yet they may also be reasoned, insofar as they may be the outputs of certain inferences. Crucially, a token aesthetic judgement may be unreasoned and reasoned, simultaneously. A key reason for allowing inference a serious role in aesthetic judgements emerges from reflection upon the nature of aesthetic expertise. (shrink)

Many mathematicians, physicists, and philosophers have suggested that the fact that mathematics—an a priori discipline informed substantially by aesthetic considerations—can be applied to natural science is mysterious. This paper sharpens and responds to a challenge to this effect. I argue that the aesthetic considerations used to evaluate and motivate mathematics are much more closely connected with the physical world than one might presume, and (with reference to case-studies within Galois theory and probabilistic number theory) show that they are correlated with (...) generally recognized theoretical virtues, such as explanatory depth, unifying power, fruitfulness, and importance. (shrink)

In this paper I argue that Cartesian skepticism about the external world is self-defeating. The Cartesian skeptic holds that we are not justified in believing claims about the external world on the grounds that we cannot rule out the possibility of our being in a radical skeptical scenario. My argument against this position builds upon a critique of Wilson in Analysis, 72, 668–673. Wilson argues that the Cartesian’s skeptical reasoning commits him to mental state skepticism and that this undermines his (...) ability to claim that he is truly skeptical about the external world. I show that Wilson’s argument does not succeed. She is correct that the Cartesian is committed to mental state skepticism. However, she is mistaken in thinking that there is anything incoherent about combining the Cartesian position that one ought to doubt external world claims with doubt about whether one is in fact such a skeptic. I propose an alternative explanation as to why mental state skepticism proves to be the Cartesian’s undoing. I suggest that mental state skepticism leads to epistemic skepticism and that this undermines the Cartesian’s position that belief about the external world is unjustified. (shrink)