What is so special and mysterious about the Continuum, this ancient, always topical, and alongside the concept of integers, most intuitively transparent and omnipresent conceptual and formal medium for mathematical constructions and the battle field of mathematical inquiries ? And why it resists the century long siege by best mathematical minds of all times committed to penetrate once and for all its set-theoretical enigma ? -/- The double-edged purpose of the present study is to save from the transfinite deadlock of (...) higher set theory the jewel of mathematical Continuum -- this genuine, even if mostly forgotten today raison d'etre of all set-theoretical enterprises to Infinity and beyond, from Georg Cantor to W. Hugh Woodin to Buzz Lightyear, by simultaneously exhibiting the limits and pitfalls of all old and new reductionist foundational approaches to mathematical truth: be it Cantor's or post-Cantorian Idealism, Brouwer's or post-Brouwerian Constructivism, Hilbert's or post-Hilbertian Formalism, Goedel's or post-Goedelian Platonism. -/- In the spirit of Zeno's paradoxes, but with the enormous historical advantage of hindsight, we claim that Cantor's set-theoretical methodology, powerful and reach in proof-theoretic and similar applications as it might be, is inherently limited by its epistemological framework of transfinite local causality, and neither can be held accountable for the properties of the Continuum already acquired through geometrical, analytical, and arithmetical studies, nor can it be used for an adequate, conceptually sensible, operationally workable, and axiomatically sustainable re-creation of the Continuum. -/- From a strictly mathematical point of view, this intrinsic limitation of the constative and explicative power of higher set theory finds its explanation in the identified in this study ultimate phenomenological obstacle to Cantor's transfinite construction, similar to topological obstacles in homotopy theory and theoretical physics: the entanglement capacity of the mathematical Continuum. (shrink)

Georg Cantor was the genuine discoverer of the Mathematical Infinity, and whatever he claimed, suggested, or even surmised should be taken seriously -- albeit not necessary at its face value. Because alongside his exquisite in beauty ordinal construction and his fundamental powerset description of the continuum, Cantor has also left to us his obsessive presumption that the universe of sets should be subjected to laws similar to those governing the set of natural numbers, including the universal principles of cardinal comparability (...) and well-ordering -- and implying an ordinal re-creation of the continuum. During the last hundred years, the mainstream set-theoretical research -- all insights and adjustments due to Kurt G\"odel's revolutionary insights and discoveries notwithstanding -- has compliantly centered its efforts on ad hoc axiomatizations of Cantor's intuitive transfinite design. We demonstrate here that the ontological and epistemic sustainability} of this design has been irremediably compromised by the underlying peremptory, Reductionist mindset of the XIXth century's ideology of science. (shrink)

We present here a biblical exegesis of the value of Pi, PI_{Hebrew} = 3.141509 ..., from the well known verse 1 Kings 7:23. This verse is then compared to 2 Chronicles 4:2; the comparison provides independent supporting evidence for the exegesis.

Guessing the outcome of iterations of even most simple arithmetical functions could be an extremely hazardous experience. Not less harder, if at all possible, might be to prove the veracity of even a "sure" guess concerning iterations : this is the case of the famous 3x+1 conjecture. Our purpose here is to study and conceptualize some intuitive insights related to the ultimate (un)solvability of this conjecture.

The original purpose of the present study, 2011, started with a preprint «On the Probable Failure of the Uncountable Power Set Axiom», 1988, is to save from the transfinite deadlock of higher set theory the jewel of mathematical Continuum — this genuine, even if mostly forgotten today raison d’être of all traditional set-theoretical enterprises to Infinity and beyond, from Georg Cantor to David Hilbert to Kurt Gödel to W. Hugh Woodin to Buzz Lightyear.

The enigma of the Emergence of Natural Languages, coupled or not with the closely related problem of their Evolution is perceived today as one of the most important scientific problems. The purpose of the present study is actually to outline such a solution to our problem which is epistemologically consonant with the Big Bang solution of the problem of the Emergence of the Universe}. Such an outline, however, becomes articulable, understandable, and workable only in a drastically extended epistemic and scientific (...) oecumene, where known and habitual approaches to the problem, both theoretical and experimental, become distant, isolated, even if to some degree still hospitable conceptual and methodological islands. The guiding light of our inquiry will be Eugene Paul Wigner's metaphor of ``the unreasonable effectiveness of mathematics in natural sciences'', i.e., the steadily evolving before our eyes, since at least XVIIth century, ``the miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics''. Kurt Goedel's incompleteness and undecidability theory will be our guardian discerner against logical fallacies of otherwise apparently plausible explanations. John Bell's ``unspeakableness'' and the commonplace counterintuitive character of quantum phenomena will be our encouragers. And the radical novelty of the introduced here and adapted to our purposes Big Bang epistemological paradigm will be an appropriate, even if probably shocking response to our equally shocking discovery in the oldest among well preserved linguistic fossils of perfect mathematical structures outdoing the best artifactual Assemblers. (shrink)

Scientific enterprise is a part and parcel of the contemporaneous to it general human cultural and, even more general, existential endeavor. Thus, the fundamental for us notion of evolution, in the modern sense of this characteristically Occidental term, appeared in the 19-th century, with its everything pervading, irreversible cultural and technological change and the existential turmoil. Similarly, a formerly relatively recherché word emergence, became a widely used scientific term only in the 20-th century, with its cultural, economical, political, and national (...) sagas of emergence and destruction played against a background of the universe emerging from the Big Bang and disappearing into its black holes, if not into its ultimate Big Collapse. Today, the rules of engagement in scientific emergence-evolution games, steadily spreading from natural to cognitive sciences, and beyond, are dominated by the 19-th century concept of natural selection which has inverted the time-arrow of the classical creationist dogma, with its rarely spelled out pessimistic implication that the life is moving from the highest biological organization to an entropic chaos. In its turn, the natural selection’s excessively contagious, “do-it-yourself” optimism might ultimately turn out to be its undoing : the natural selection conjecture, when transposed to such fields as linguistics from the strictly biological scene, with its times of engagement ranging from at most hundred years of life expectancy for an individual organism to at least millions and even billions of years for evolutionary processes to bring this or that organism to existence, becomes for the first time verifiable and even falsifiable. The present paper studies some implications of the well-known but almost universally disregarded tight combinatorial morphological-semantic structure of the verbal system of Biblical Hebrew, to show that this linguistic fossil testifies to the existence of a now extinct Proto-Language whose extremely tight verbal organization and meaningful architecture made it both structurally strikingly similar and expressively vastly superior to humanly designed Assembler languages, – an absolutely novel, paradoxical phenomenon, never before and nowhere else observed and apparently incompatible with the basic tenets of modern linguistic natural selection theories and, at the very least, crying out for new explanatory linguistic paradigms. (shrink)

"The definitive clarification of the nature of the infinite has become necessary, not merely for the special interests of the individual sciences, but rather for the honour of the human understanding itself. The infinite has always stirred the emotions of mankind more deeply than any other question; the infinite has stimulated and fertilized reason as few other ideas have ; but also the infinite, more than other notion, is in need of clarification." (David Hilbert 1925).

Building on theoretical insights and rich experimental data of our preprints, we present here new theoretical and experimental results in three interrelated approaches to the Collatz problem and its generalizations: algorithmic decidability, random behavior, and Diophantine representation of related discrete dynamical systems, and their cyclic and divergent properties.

The problem of the emergence and evolution of natural languages is seen today by many specialists as one of the most difficult problems in the cognitive sciences. We believe that a key to unravelling this enigma is the close relationship of language to mathematics.

Biblical Hebrew, BH, could be seen as primarily a verbal language [1], with an average verse of the Hebrew Bible containing no less than three verbs and with the biggest part of its vocabulary representing morphological derivations from verbal roots, almost entirely triliteral, or triconsonantal, – the feature BH shares with all Semitic and a few other Afro- Asiatic languages. The unique peculiarity of this triconsonantal morphological pervasiveness did not completely escape the attention of previous generations of Western linguists, as (...) shows the following “methodological” warning opening a popular Hebrew grammar edited more than a century ago: «The roots, whatever may have been their original form, are in the Old Testament almost entirely triliteral, ... thus imposing upon the memory a very heavy strain. ... Every verb has to be learned separately; the verbs to go out, to go up, to go down are quite different, having nothing in common with one another and being quite unrelated to the verb to go.» This amusing résumé has the merit to recognize, even if under the guise of an earnestly banal pedagogical clueing in, two extraordinary fundamental linguistic phenomena common to all Semitic languages, the very objects of the present study. (shrink)

In the search of new approaches to the problem of emergence and evolution of natural languages, Mathematics, Theoretical Computer Science, as well as Molecular Biology and Neuroscience, both deeply penetrated and profoundly inspired by concepts originated in Mathematics and Computer Science, represent today the richest pools of formal concepts, structures, and methods to borrow and to adapt.

In the search of new approaches to the problem of emergence and evolution of natural languages, Mathematics, Theoretical Computer Science, as well as Molecular Biology and Neuroscience, both deeply penetrated and profoundly inspired by concepts originated in Mathematics and Computer Science, represent today the richest pools of formal concepts, structures, and methods to borrow and to adapt.

GILBERT JEAN FACCARELLO (Paris, 1950) is professor of economics at Université Panthéon-Assas, Paris, and a member of the Triangle research centre (École Normale Supérieure de Lyon and CNRS). He is presently chair of the ESHET Council (European Society for the History of Economic Thought). He completed his doctoral research in economics at Université de Paris X Nanterre. He has previously taught at the Université de Paris-Dauphine, Université du Maine and École Normale Supérieure de Fontenay/Saint-Cloud (now École Normale Supérieure de Lyon). (...) He is a co-founder of The European Journal of the History of Economic Thought, which he co-edited for 20 years with J. L. Cardoso, Heinz D. Kurz, and A. Murphy. With Alain Béraud, he edited the Nouvelle histoire de la pensée économique (La Découverte, 3 volumes, 1992-2000) and, together with Heinz D. Kurz, he is presently editing a Handbook of the History of Economic Analysis (3 volumes, forthcoming with Edward Elgar). -/- EJPE interviewed Gilbert Faccarello about his research career in the history of economic thought, where he has focused especially on old and new classical and Marxian political economy, and French political economy during the 18th and 19th centuries. G. Faccarello discusses his interest not only in the logical structure and context of the economic ideas of past thinkers but also the links between economic thought, philosophy, and religion. (shrink)

Philosophers often suggest that their theories of free will are supported by our phenomenology. Just as their theories conflict, their descriptions of the phenomenology of free will often conflict as well. We suggest that this should motivate an effort to study the phenomenology of free will in a more systematic way that goes beyond merely the introspective reports of the philosophers themselves. After presenting three disputes about the phenomenology of free will, we survey the (limited) psychological research on the experiences (...) relevant to the philosophical debates and then describe some pilot studies of our own with the aim of encouraging further research. The data seem to support compatibilist descriptions of the phenomenology more than libertarian descriptions. We conclude that the burden is on libertarians to find empirical support for their more demanding metaphysical theories with their more controversial phenomenological claims. (shrink)

It is observed that most development modalities employed over the years for achieving community development in Africa have not leaved up to expectation in terms of involving the majority of people in the quest for national transformation and development; rather, these modalities tend to complicate the very problems they are set out to solve. The situation is mostly like this because the adopted development strategies have not taken adequate cognizance the essence of effective communication methods and the importance of people’s (...) perspectives and peculiarities in these processes. Mostly, the so-called outsiders and experts in development matters who are physically and socially separated from the people think for them and about their development. This situation is inimical to genuine and sustainable development. It is important therefore to note that development can only be meaningful and sustainable when it is people generated; involving people’s real needs and their participation in the process of achieving them. It is at this point therefore that community theatre can come handy as it has the potentials to bring people together to discuss issues that disempowered them and participatorily proffer solutions to the negatives. Community theatre can be explored to work with rural and urban people; mostly the rural dwellers who are mostly disempowered. In view of this therefore, this paper posits that community theatre is a method of participatory communication towards achieving social change. (shrink)

Reality is two-fold, composed of the lighted world as revealed in Genesis, and the darker primordiality which preceded it. The illuminated represents that which the human mind can comprehend, manipulate and re-order to its will: a “designed” and mechanical universe of parts. But behind it, in the backspace of reality, remains the darkness. A formless state of pre-creation, the darkness exists as an endless series of intertwining “signatures” – single possibilities waiting to be created in the illuminated forefront of reality. (...) Permitting each and every part of the lighted world to be connected to the rest, it possesses a “design” all of its own. The question is, if we are blind in the dark, how could we ever come to know it? (shrink)

Life is a battlefield onto which we are thrown at birth, with only fate and fortune settling upon where we land. Wherever we land, whether it's on the front lines or surrounded by a network of defenses, we are all asking the same question: why are we here? The problem with this question, however, is that we tend to answer it from our own relative positions, and so we all arrive at different conclusions. The many answers we've created have filled (...) the field. They have become banners that are raised high so that we can see and follow them. These banners are always at risk of being toppled though; always at risk of losing their capacity for belief. But then, what if belief is more than a mere by-product of our universal search? What if belief can change the very fabric of this field? That is, what if truth is actually irrelevant, and the only real thing that makes up this battlefield is the belief, and consequently the collective will, which we invest in our answers? (shrink)

As the international genomic research community moves from the tool-making efforts of the Human Genome Project into biomedical applications of those tools, new metaphors are being suggested as useful to understanding how our genes work – and for understanding who we are as biological organisms. In this essay we focus on the Human Microbiome Project as one such translational initiative. The HMP is a new ‘metagenomic’ research effort to sequence the genomes of human microbiological flora, in order to pursue the (...) interesting hypothesis that our ‘microbiome’ plays a vital and interactive role with our human genome in normal human physiology. Rather than describing the human genome as the ‘blueprint’ for human nature, the promoters of the HMP stress the ways in which our primate lineage DNA is interdependent with the genomes of our microbiological flora. They argue that the human body should be understood as an ecosystem with multiple ecological niches and habitats in which a variety of cellular species collaborate and compete, and that human beings should be understood as ‘superorganisms’ that incorporate multiple symbiotic cell species into a single individual with very blurry boundaries. These metaphors carry interesting philosophical messages, but their inspiration is not entirely ideological. Instead, part of their cachet within genome science stems from the ways in which they are rooted in genomic research techniques, in what philosophers of science have called a ‘tools-to-theory’ heuristic. Their emergence within genome science illustrates the complexity of conceptual change in translational research, by showing how it reflects both aspirational and methodological influences. (shrink)

We examine some of Connes’ criticisms of Robinson’s infinitesimals starting in 1995. Connes sought to exploit the Solovay model S as ammunition against non-standard analysis, but the model tends to boomerang, undercutting Connes’ own earlier work in functional analysis. Connes described the hyperreals as both a “virtual theory” and a “chimera”, yet acknowledged that his argument relies on the transfer principle. We analyze Connes’ “dart-throwing” thought experiment, but reach an opposite conclusion. In S , all definable sets of reals are (...) Lebesgue measurable, suggesting that Connes views a theory as being “virtual” if it is not definable in a suitable model of ZFC. If so, Connes’ claim that a theory of the hyperreals is “virtual” is refuted by the existence of a definable model of the hyperreal field due to Kanovei and Shelah. Free ultrafilters aren’t definable, yet Connes exploited such ultrafilters both in his own earlier work on the classification of factors in the 1970s and 80s, and in Noncommutative Geometry, raising the question whether the latter may not be vulnerable to Connes’ criticism of virtuality. We analyze the philosophical underpinnings of Connes’ argument based on Gödel’s incompleteness theorem, and detect an apparent circularity in Connes’ logic. We document the reliance on non-constructive foundational material, and specifically on the Dixmier trace −∫ (featured on the front cover of Connes’ magnum opus) and the Hahn–Banach theorem, in Connes’ own framework. We also note an inaccuracy in Machover’s critique of infinitesimal-based pedagogy. (shrink)

The role of conventions in the formulation of Thomas Reid’s theory of the geometry of vision, which he calls the “geometry of visibles”, is the subject of this investigation. In particular, we will examine the work of N. Daniels and R. Angell who have alleged that, respectively, Reid’s “geometry of visibles” and the geometry of the visual field are non-Euclidean. As will be demonstrated, however, the construction of any geometry of vision is subject to a choice of conventions regarding (...) the construction and assignment of its various properties, especially metric properties, and this fact undermines the claim for a unique non-Euclidean status for the geometry of vision. Finally, a suggestion is offered for trying to reconcile Reid’s direct realist theory of perception with his geometry of visibles. (shrink)

To explore the extent of embeddability of Leibnizian infinitesimal calculus in first-order logic (FOL) and modern frameworks, we propose to set aside ontological issues and focus on pro- cedural questions. This would enable an account of Leibnizian procedures in a framework limited to FOL with a small number of additional ingredients such as the relation of infinite proximity. If, as we argue here, first order logic is indeed suitable for developing modern proxies for the inferential moves found in Leibnizian infinitesimal (...) calculus, then modern infinitesimal frameworks are more appropriate to interpreting Leibnizian infinitesimal calculus than modern Weierstrassian ones. (shrink)

This paper presents an attempt to solve Laura Valentini’s ideal theory paradox, in a way which makes me think of G.E. Moore but I shall leave the classification of the solution to the experts. I also discuss the claim that philosophy is so easy.

Co-authored letter to the APA to take a lead role in the recognition of teaching in the classroom, based on the participation in an interdisciplinary Conference on the Role of Advocacy in the Classroom back in 1995. At the time of this writing, the late Myles Brand was the President of Indiana University and a member of the IU Department of Philosophy.

Perceptual experience is often said to be transparent; that is, when we have a perceptual experience we seem to be aware of properties of the objects around us, and never seem to be aware of properties of the experience itself. This is a introspective fact. It is also often said that we can infer a metaphysical fact from this introspective fact, e.g. a fact about the nature of perceptual experience. A transparency theory fills in the details for these two facts, (...) and bridges the gap between them. We have three aims: to scrutinize Michael Tye’s transparency theory :137–151, 2002; Consciousness revisited: materialism without phenomenal concepts, MIT Press, Cambridge, 2009; Philos Stud 170:39–57, 2014a), introduce a new transparency theory, and advance a meta-theoretical hypothesis about the interest, and import, of transparency theories. (shrink)

Much attention has recently been paid to the idea, which I label ‘External World Acquaintance’ (EWA), that the phenomenal character of perceptual experience is partially constituted by external features. One motivation for EWA which has received relatively little discussion is its alleged ability to help deal with the ‘Explanatory Gap’ (e.g. Fish 2008, 2009, Langsam 2011, Allen 2016). I provide a reformulation of this general line of thought, which makes clearer how and when EWA could help to explain the specific (...) phenomenal nature of visual experience. In particular, I argue that by focusing on the different kinds of perceptual actions that are available in the case of visual spatial vs. colour perception, we get a natural explanation for why we should expect the specific nature of colour phenomenology to remain less readily intelligible than the specific nature of visual spatial phenomenology. (shrink)

This is a conjecture about the conditions and operating structures that are required for the phenomenality of certain mental states. Specifically, full-blown phenomenality is assumed, as contrasted with constrained examples of phenomenal experience such as sensations of color and pain. Propositional attitudes and content, while not phenomenal per se, are standardly concurrent and may condition phenomenal states (e.g., when tied to false beliefs). It is conjectured that full phenomenality natively arises in coherent processes of situated sensory synthesis and representation (with (...) conceptual content) that are looped, mereologically whole and multi-dimensional. And that phenomenal states are typically phase-states within a parameterized conjoint structure of world and experiencer processes that are causally modulated across Markov blankets (which are conditionally independent and may be nested: cf. M. Kirchoff, et. al., 2017, 2018; and T. Burge, 2010, re: anti-individualism). Though they may, it is not accepted that phenomenally conscious states must be targets of higher-order representations (cf. A. Byrne, 2004). (shrink)

I consider cases where you increase the risk that, e.g., someone will die, without increasing the risk that you will kill them: in particular, cases in which that increasing of risk is accompanied by a decreasing of risk of the same degree such that the risk imposition has been offset. I defend the moral legitimacy of such offsetting, including carbon-offsetting.

This paper challenges the widely held view that ‘good for’, ‘well-being’, and related terms express a distinctive evaluative concept of central importance for ethics and separate from ‘simply good’ as used by G. E. Moore and others. More specifically, it argues that there's no philosophically useful good-for or well-being concept that's neither merely descriptive in the sense of naturalistic nor reducible to ‘simply good’. The paper distinguishes two interpretations of the common claim that the value ‘good for’ expresses is distinctively (...) ‘subject-relative’. One concerns the ground of this value, or the properties that make something good for you; it says these must involve some relation to you. The other concerns the resulting value itself, or what supervenes on this ground; it says that too involves a relation. Neither interpretation, the paper argues, yields a significantly distinct evaluative concept. The ethically fundamental evaluative concept is just ‘simply good’. (shrink)

G.E. Moore said that rightness was obviously a matter of maximising plain goodness. Peter Geach and Judith Thomson disagree. They have both argued that ‘good’ is not a predicative adjective, but only ever an attributive adjective: just like ‘big.’ And just as there is no such thing as plain bigness but only ever big for or as a so-and-so, there is also no such thing as plain goodness. They conclude that Moore’s goodness is thus a nonsense. However attention has been (...) drawn to a weakness in their arguments. Mahrad Almotahari and Adam Hosein have sought to plug that weakness. If their plug holds, then there is no goodness. Doing most of their work is the following premise: adjective φ is predicative only if it can be used predicatively in ‘x is a φ K’ otherwise it is attributive. In this paper I argue that this premise is false, that their plug does not hold and that if one is to reject plain goodness it will have to be for other reasons. (shrink)

The idea that there are features of or in our conscious experience that are, in some important sense, private has both a long history in philosophy and a large measure of intuitive attraction. Once this idea is in place, it will be very natural to assume that one can think and judge about one’s own private features. And it is then only a small step to the idea that we might communicate such thoughts and judgements about our respective private features (...) with each other. (shrink)

In a series of pre-registered studies, we explored (a) the difference between people’s intuitions about indeterministic scenarios and their intuitions about deterministic scenarios, (b) the difference between people’s intuitions about indeterministic scenarios and their intuitions about neurodeterministic scenarios (that is, scenarios where the determinism is described at the neurological level), (c) the difference between people’s intuitions about neutral scenarios (e.g., walking a dog in the park) and their intuitions about negatively valenced scenarios (e.g., murdering a stranger), and (d) the difference (...) between people’s intuitions about free will and responsibility in response to first-person scenarios and third-person scenarios. We predicted that once we focused participants’ attention on the two different abilities to do otherwise available to agents in indeterministic and deterministic scenarios, their intuitions would support natural incompatibilism—the view that laypersons judge that free will and moral responsibility are incompatible with determinism. This prediction was borne out by our findings. (shrink)

In recent years, philosophers have used expressions of Wittgenstein’s (e.g. “language-games,” “form of life,” and “family resemblance”) in attempts to conceive of the discipline of philosophy in a broad, open, and perhaps global way. These Wittgenstein-inspired approaches indicate an awareness of the importance of cultural and historical diversity for approaching philosophical questions. While some philosophers have taken inspiration from Wittgenstein in embracing contextualism in philosophical hermeneutics, Wittgenstein himself was more instrumental than contextual in his treatment of other philosophers; his focus (...) in his writings was on his own philosophical problems. Does this mean that Wittgensteinian philosophy is a poor resource after all for comparative, cross-cultural, or globally-engaged philosophy (i.e. if it is properly Wittgensteinian)? In this article, I examine the relevance of Wittgenstein to contextually-sensitive philosophy through studies of his conceptions of history and culture, his interest in Spengler’s philosophy of history, and recent scholarship by Hans-Johann Glock and Hans Sluga on the place of contextualism in Wittgenstein’s analysis of philosophical problems. Ultimately, this article advances the view that there are strong resources in Wittgenstein’s philosophy for those seeking a more globally-engaged approach to the field. (shrink)

In philosophy, as in many other disciplines and domains, stable disagreement among peers is a widespread and well-known phenomenon. Our intuitions about paradigm cases, e.g. Christensen's Restaurant Case, suggest that in such controversies suspension of judgment is rationally required. This would prima facie suggest a robust suspension of judgment in philosophy. But we are still lacking a deeper theoretical explanation of why and under what conditions suspension is rationally mandatory. In the first part of this paper I will focus on (...) this question. After a critical survey of some recent alternative approaches (diversity as a thread to the reliability, decision problem, acquisition of undercutting defeaters), I will argue that in fact discovering disagreement with an opponent provides me with a rebutting defeater, but only if some further non-trivial conditions are satisfied - among them my acknowledging her as my reliability peer. In the second part of the paper I will explore in more detail the skeptical implications this account has for philosophy. Here, I will defend two claims. First, skepticism about philosophy is mandatory only if the relevant peerness assumption can be justified. Second, in philosophy there is no basis available that would support the relevant peerness assumption. If this is correct, we are not forced into skepticism about philosophy and may rationally retain our philosophical beliefs even in the face of controversy. (shrink)

In public reason liberalism, equal respect requires that conceptions of justice be publicly justifiable to relevant people in a manner that allocates to each an equal say. But all liberal public justification also excludes: e.g., it accords no say, or a lesser say, to people it deems unreasonable. Can liberal public justification be aligned with the equal respect that allegedly grounds it, if the latter calls for discursive equality? The chapter explores this challenge with a focus on Rawls-type political liberalism. (...) I suggest that political liberalism’s commitment to equal respect can cohere with the standing of the unreasonable in public justification if that standing is not impermissibly unequal in discursive purchase. I then consider one candidate view of the permissibility of purchase inequality. On this broadly sufficientarian view, purchase inequality is permissible provided relevant people have standing of enough purchase to be able to avoid relevant bads. A plausible variant of this view suggests that political liberalism’s commitment to equal respect does not cohere with the discursive standing of the unreasonable. It emerges that where liberal public justification accords actual people discursive respect but relevantly idealizes at least around its fringes, the permissibility of purchase inequality must be a central concern. (shrink)

This inquiry is addressed to two questions: (1) what if any logical relations might exist between the concepts of desire and action (as they and the distinctions to which they commit us are ensconced in ordinary parlance), and (2) what if any causal or significant non-causal (i.e., material) relations might ever exist between instances of desire and action? -/- It is held that any credible move to deal with such questions must initially, and at some length, specify the employment conditions (...) for the terms 'want' and 'desire'. This is accomplished in the first two chapters wherein a set of premises is generated for the argument of the inquiry which is presented in full and concluded in the third and final chapter. Premises generated devolve from treatment of the following major topics: (a) the grammar of 'want' and 'desire', (b) the ontological status of wants, (c) first-person and third-person want ascriptions, (d) the sorts of things which may be desired (desiderabilia), (e) wants and lacks, (f) wants and wishes, (g) the 'conflicts' of desires and reason and desire, (h) four major candidates for logical relations between wants and acts, (i) the issue of causation, and (j) the placement of Desire in an adequate ontology of persons. -/- It is argued that every major candidate for a logical relation between wants and acts (or our warrant for believing that such a connection exists) breaks down upon analysis; that little warrant exists for construing wants as causes of acts; that wants and acts are related in significant non-logical and non-causal (i.e., material) respects; and that any fully adequate theory of human action must undertake ontology, placing the category of Desire squarely in the foreground. This project represents neither a general theory of desire nor a general theory of human action. It is rather conceived as a propaedeutic to any such inquiry. It is essentially revisionist in intent, setting out on the one hand to challenge existing claims about wants and acts and, on the other hand, proposing a more satisfactory approach to the issue. In no sense is it suggested that recent Anglo-American contributions are without merit. It is rather argued that they are often inadequate contributions vis-a-vis the larger requirements for an adequate theory of human action. (shrink)

Abstract: In Vacco v. Quill, 521 U.S. 793 (1997), the Supreme Court for the first time in American case law explicitly applied the principle of double effect to reject an equal protection claim to physician-assisted suicide. Double effect, traced historically to Thomas Aquinas, proposes that under certain circumstances it is permissible unintentionally to cause foreseen evil effects that would not be permissible to cause intentionally. The court rejected the constitutional claim on the basis of a distinction marked out by (...) the principle, i.e., between directly intending the death of a terminally ill patient as opposed to merely foreseeing that death as a consequence of medical treatment. The Court held that the distinction comports with fundamental legal principles of causation and intent. Id. at 802. -/- Critics allege that the principle itself is intrinsically flawed and that, in any event, its employment in Vacco is without legal precedent. I argue in response to contemporary objections that double effect is a valid principle of ethical reflection (Part II); claims to the contrary notwithstanding, double effect analysis is a pervasive, albeit generally unacknowledged principle employed regularly in American case law (Part III); and drawing on the preceding two sections, Vacco's application of the principle of double effect is appropriate (Part IV). -/- My conclusion is that [o]peration of some form of the principle, by whatever name, is inevitable. In an imperfect world where duties and interests collide, the possibility of choices of action foreseen to have both good and evil consequences cannot be avoided. In rare circumstances, ethics and the law require that a person refrain from acting altogether. More often, however, they provide that a determination of whether an actor may pursue a good effect although knowing it will or may unintentionally cause an harmful effect requires a more complex analysis - a double effect analysis. -/- Keywords: Equal protection, double effect, intention, physician-assisted suicide, Constitutional Law, Bioethics. (shrink)

This paper discusses a dilemma that’s arises for a surprising number of ethical views and that's generated by a thesis they share: they all hold that it's a necessary condition for a thing to have an ethical property like rightness or goodness that it be accompanied by the belief that it has that property (see e.g. Kant (on one reading), Dworkin, Kymlicka, Sidgwick, Sumner, Dorsey). If the required belief is read one way, these views make it necessary, for a thing (...) to be right or good, that it be accompanied a false belief about its rightness or goodness. If it’s read another way, it generates an infinite regress. (shrink)

Comparativism is the view that comparative confidences (e.g., being more confident that P than that Q) are more fundamental than degrees of belief (e.g., believing that P with some strength x). In this paper, I outline the basis for a new, non-probabilistic version of comparativism inspired by a suggestion made by Frank Ramsey in `Probability and Partial Belief'. I show how, and to what extent, `Ramseyan comparativism' might be used to weaken the (unrealistically strong) probabilistic coherence conditions that comparativism traditionally (...) relies on. (shrink)

This paper responds to Thomas Kelly and Sarah McGrath’s worry that there can be evil reflective equilibrium. I propose that some of John Rawls’s restrictions on moral judgments we can enter into the procedure serve to protect against evil reflective equilibrium.

Politics is rife with motivated cognition. People do not dispassionately engage with the evidence when they form political beliefs; they interpret it selectively, generating justifications for their desired conclusions and reasons why contrary evidence should be ignored. Moreover, research shows that epistemic ability (e.g. intelligence and familiarity with evidence) is correlated with motivated cognition. Bjørn Hallsson has pointed out that this raises a puzzle for the epistemology of disagreement. On the one hand, we typically think that epistemic ability in an (...) interlocutor gives us reason to downgrade our belief upon learning that we disagree. On the other hand, if our interlocutor is under the sway of motivated cognition, then we have reason to discount his opinion. In this paper, I argue that Hallsson's puzzle is solved by adopting a Bayesian approach to disagreement. If an interlocutor is under the sway of motivated cognition, his disagreement should not affect our beliefs--no matter his ability. Because we implicitly and to high accuracy know his beliefs before he reveals them to us, disagreement provides us with no new information on which to conditionalize. I advance a model which accommodates the motivated cognition dynamic and other key epistemic features of disagreement. (shrink)

I argue that Kathleen Stock omits crucial information in her 2021 book Material Girls, when she debates with Thomas Laqueur, information which enables readers to appreciate the excitement in relation to his historical discovery. I argue further that this is more than just a communicational problem. I then present a reason for rejecting the theory Laqueur uncovers: the initially strange theory that there is just one sex. But I argue that the one sex theory is unlikely to be killed (...) off by this reason. I also raise a concern about Stock’s interpretation of Mrs. Gaskell’s Cranford. The writing style here is influenced by an essay by a medic. (shrink)

Which moral judgments should one pay attention to in building a moral philosophy? Thomas Kelly and Sarah McGrath object to John Rawls’s suggestion to not rely on judgments heavily bound up with one’s own interests. I propose a solution in response to the objection.

The purpose of this paper is to illustrate, formally, an ambiguity in the exercise of political influence. To wit: A voter might exert influence with an eye toward maximizing the probability that the political system (1) obtains the correct (e.g. just) outcome, or (2) obtains the outcome that he judges to be correct (just). And these are two very different things. A variant of Condorcet's Jury Theorem which incorporates the effect of influence on group competence and interdependence is developed. Analytic (...) and numerical results are obtained, the most important of which is that it is never optimal--from the point-of-view of collective accuracy--for a voter to exert influence without limit. He ought to either refrain from influencing other voters or else exert a finite amount of influence, depending on circumstance. Philosophical lessons are drawn from the model, to include a solution to Wollheim's "Paradox in the Theory of Democracy". (shrink)

This essay examines Étienne Balibar's readings of Jacques Derrida and deconstruction. The text is framed as a review of two books by Balibar: 'Equaliberty' and 'Violence and Civility'. After describing the context of those readings, I propose a broader reflection on the ambiguous relationship between 'post-Marxism' and 'deconstruction', focusing on concepts such as 'violence', 'cruelty', 'sovereignty' and 'property'. I also raise methodological questions related to the 'use' of deconstructive notions in political theory debates.

Some believe that all arguments make an implicit “inference claim” that the conclusion is inferable from the premises (e.g., Bermejo-Luque, Grennan, the Groarkes, Hitchcock, Scriven). I try to show that this is confused. An act of arguing arises because an inference can be attributed to us, not a meta-level “inference claim” that would make the argument self-referential and regressive. I develop six (other) possible explanations of the popularity of the doctrine that similarly identify confusions.

Much of the literature from political psychology has focused on the negative traits that are positively associated with affective polarization—e.g., animus, arrogance, distrust, hostility, and outrage. Not as much attention has been focused on the positive traits that might be negatively associated with polarization. For instance, given that people who are intellectually humble display greater openness and less hostility towards conflicting viewpoints (Krumrei-Mancuso & Rouse, 2016; Hopkin et al., 2014; Porter & Schumann, 2018), one might reasonably expect them to be (...) less polarized. -/- We ran two studies designed to explore the relationship between various forms of humility and polarization. Our chief finding is that people who value humility are prone to what we are calling epistemic polarization—that is, judging the epistemic traits of contrapartisans negatively—which in turn plays a role in polarization more generally. Not only are contrapartisans deemed to have the wrong moral and political beliefs, they are also viewed as less humble and more arrogant, close-minded, and irrational. This makes matters even worse when it comes to the growing partisan divide. In light of our findings, we believe that the novel concept of epistemic polarization that we introduce is a promising target for further investigation. (shrink)