Standard Type Theory, STT, tells us that b^n(a^m) is well-formed iff n=m+1. However, Linnebo and Rayo have advocated the use of Cumulative Type Theory, CTT, has more relaxed type-restrictions: according to CTT, b^β(a^α) is well-formed iff β > α. In this paper, we set ourselves against CTT. We begin our case by arguing against Linnebo and Rayo’s claim that CTT sheds new philosophical light on set theory. We then argue that, while CTT ’s type-restrictions are unjustifiable, the type-restrictions imposed by (...) STT are justified by a Fregean semantics. What is more, this Fregean semantics provides us with a principled way to resist Linnebo and Rayo’s Semantic Argument for CTT. We end by examining an alternative approach to cumulative types due to Florio and Jones; we argue that their theory is best seen as a misleadingly formulated version of STT. (shrink)

I present a cumulative case for the thesis that we only know propositions that are certain for us. I argue that this thesis can easily explain the truth of eight plausible claims about knowledge: -/- (1) There is a qualitative difference between knowledge and non-knowledge. (2) Knowledge is valuable in a way that non-knowledge is not. (3) Subjects in Gettier cases do not have knowledge. (4) If S knows that P, P is part of S’s evidence. (5) If S knows (...) that P, ~P is epistemically impossible for S. (6) If S knows that P, S can rationally act as if P. (7) If S knows that P, S can rationally stop inquiring whether P. (8) If S knows each of {P1, P2, … Pn}, and competently deduces Q from these propositions, S knows that Q. -/- I then argue that the skeptical costs of this thesis are outweighed by its explanatory power. (shrink)

Two strong arguments have been given in favor of the claim that no selection process can play a role in explaining adaptations. According to the first argument, selection is a negative force; it may explain why the eliminated individuals are eliminated, but it does not explain why the ones that survived (or their offspring) have the traits they have. The second argument points out that the explanandum and the explanans are phenomena at different levels: selection is a population-level phenomenon, whereas (...) adaptation occurs on the individual level. Thus, selection can explain why individuals in a certain population have a certain trait, but it cannot explain why a certain indi- vidual has this trait. After pointing out that both arguments ignore the significance of the limitation of environmental resources, I will construe a positive argument for the claim that cumulative selection processes can, indeed, play a role in explaining adaptations. (shrink)

Crime is a serious social problem, but its causes are not exclusively social. There is growing consensus that explaining and preventing it requires interdisciplinary research efforts. Indeed, the landscape of contemporary criminology includes a variety of theoretical models that incorporate psychological, biological and sociological factors. These multi-disciplinary approaches, however, have yet to radically advance scientific understandings of crime and shed light on how to manage it. In this paper, using conceptual tools on offer in the philosophy of science in combination (...) with theoretical work represented in this special volume of Psychology, Crime and Law, I provide some perspective on why explanatory progress in criminology has remained elusive and evaluate some positive proposals for attaining it. -/- . (shrink)

There is consensus among computer scientists, logicians, and philosophers that good reasoning with qualitative beliefs must have the structural property of cumulative transitivity or, for short, cut. This consensus is typically explicitly argued for partially on the basis of practical and mathematical considerations. But the consensus is also implicit in the approach philosophers take to almost every puzzle about reasoning that involves multiple steps: philosophers typically assume that if each step in reasoning is acceptable considered on its own, the whole (...) chain of reasoning must also acceptable. In this paper I focus on whether there are good philosophical reasons for thinking that the consensus that good reasoning must satisfy cut is true. My central claim is that we should not accept the consensus—good reasoning might not satisfy cut. In particular, I consider four arguments for the consensus and explain why they are unpersuasive. (§2-5). I then show that the issue of whether good reasoning is cut turns on a substantive yet until now unnoticed question in epistemology (§6). (shrink)

The following bare-bones story introduces the idea of a cumulative hierarchy of pure sets: 'Sets are arranged in stages. Every set is found at some stage. At any stage S: for any sets found before S, we find a set whose members are exactly those sets. We find nothing else at S.' Surprisingly, this story already guarantees that the sets are arranged in well-ordered levels, and suffices for quasi-categoricity. I show this by presenting Level Theory, a simplification of set theories (...) due to Scott, Montague, Derrick, and Potter. (shrink)

Abstract: Without directly taking sides in the design/anti-design debate, this paper defends the following position: the assertion that biological evolution “is” design-free presupposes the possibility to model biological evolution in a design-free way. Certainly, there are design-free models of evolution based on cumulative selection. But “to model” is a verb denoting “modeling” as the process leading to a model. So any modeling – trivially – needs “previous human design.” Nevertheless, contrary to other scientific activities which legitimately consider models while ignoring (...) the process leading to them, evolution theory must take into account the human activity of modeling required by its corresponding models. (shrink)

According to existing accounts of indicative conditionals, any argument of the following form is valid: ϕ → ψ, ( ϕ ∧ ψ ) → χ ∴ ϕ → χ. Here, I present a set of counterexamples to show that there exist invalid arguments of this form. I argue that this data poses serious problems to variably strict accounts of conditionals, as such accounts are structurally unable to accommodate it. Dynamic strict accounts, however, are a different story. While existing dynamic strict (...) accounts do not accommodate the data, they are in principle able to, and I propose a modified dynamic strict account, drawing from von Fintel, that does. The key modification is this: whereas existing dynamic strict accounts take into account only the effects of conditional antecedents in changing the semantic context, the data shows that we must also take into account the effects of conditional consequents in changing the semantic context. (shrink)

A new method of adult and children mental development is investigated – the trilogy of mind, which basic operation is the logic operation of comparison. This method was created considering Aristotle's understanding of philosophy as “the science about the first reasons and origins” of cognition, the beginning of presocratic cognition of the surrounding world. This new method is an effective mean of mental thinking development that is oriented at the understanding of natural and social processes with the help of general (...) scientific comparative notions – kinds of opposition, worked out in ancient times. (shrink)

This paper investigates the connection between two recent trends in philosophy: higher-orderism and conceptual engineering. Higher-orderists use higher-order quantifiers (in particular quantifiers binding variables that occupy the syntactic positions of predicates) to express certain key metaphysical doctrines, such as the claim that there are properties. I argue that, on a natural construal, the higher-orderist approach involves an engineering project concerning, among others, the concept of existence. I distinguish between a modest construal of this project, on which it aims at engineering (...) higher-order analogues of the familiar notion of first-order existence, and an ambitious construal, on which it additionally aims at engineering a broadened notion of existence that subsumes first-order and higher-order existence. After identifying a substantial problem for the ambitious project, I investigate a possible response which is based on adopting a cumulative type theory as the background higher-order logic. While effective against the problem at hand, this strategy turns out to undermine a major reason to embrace higher-orderism in the first place, namely the idea that higher-orderism dissolves a range of otherwise intractable debates in metaphysics. Higher-orderists are therefore best advised to pursue their engineering project on the modest variant and against the background of standard type theory. (shrink)

The semantic function of the modifier 'together' in adnominal position has generally been considered to be that of preventing a distributive reading of the predicate. This paper will argue that this view is mistaken. The semantic function of adnominal 'together' rather is that of inducing a cumulative measurement of the group that together is associated with. The measurement-based analysis of adnominal together that I propose can also, with some modifications, be extended to adverbial occurrences of together.

In philosophical logic, a certain family of model constructions has received particular attention. Prominent examples are the cumulative hierarchy of well-founded sets, and Kripke's least fixed point models of grounded truth. I develop a general formal theory of groundedness and explain how the well-founded sets, Cantor's extended number-sequence and Kripke's concepts of semantic groundedness are all instances of the general concept, and how the general framework illuminates these cases. Then, I develop a new approach to a grounded theory of proper (...) classes. -/- However, the general concept of groundedness does not account for the philosophical significance of its paradigm instances. Instead, I argue, the philosophical content of the cumulative hierarchy of sets is best understood in terms of a primitive notion of ontological priority. -/- Then, I develop an analogous account of Kripke's models. I show that they exemplify the in-virtue-of relation much discussed in contemporary metaphysics, and thus are philosophically significant. I defend my proposal against a challenge from Kripke's “ghost of the hierarchy”. (shrink)

According to Cantor (Mathematische Annalen 21:545–586, 1883 ; Cantor’s letter to Dedekind, 1899 ) a set is any multitude which can be thought of as one (“jedes Viele, welches sich als Eines denken läßt”) without contradiction—a consistent multitude. Other multitudes are inconsistent or paradoxical. Set theoretical paradoxes have common root—lack of understanding why some multitudes are not sets. Why some multitudes of objects of thought cannot themselves be objects of thought? Moreover, it is a logical truth that such multitudes do (...) exist. However we do not understand this logical truth so well as we understand, for example, the logical truth $${\forall x \, x = x}$$ . In this paper we formulate a logical truth which we call the productivity principle. Rusell (Proc Lond Math Soc 4(2):29–53, 1906 ) was the first one to formulate this principle, but in a restricted form and with a different purpose. The principle explicates a logical mechanism that lies behind paradoxical multitudes, and is understandable as well as any simple logical truth. However, it does not explain the concept of set. It only sets logical bounds of the concept within the framework of the classical two valued $${\in}$$ -language. The principle behaves as a logical regulator of any theory we formulate to explain and describe sets. It provides tools to identify paradoxical classes inside the theory. We show how the known paradoxical classes follow from the productivity principle and how the principle gives us a uniform way to generate new paradoxical classes. In the case of ZFC set theory the productivity principle shows that the limitation of size principles are of a restrictive nature and that they do not explain which classes are sets. The productivity principle, as a logical regulator, can have a definite heuristic role in the development of a consistent set theory. We sketch such a theory—the cumulative cardinal theory of sets. The theory is based on the idea of cardinality of collecting objects into sets. Its development is guided by means of the productivity principle in such a way that its consistency seems plausible. Moreover, the theory inherits good properties from cardinal conception and from cumulative conception of sets. Because of the cardinality principle it can easily justify the replacement axiom, and because of the cumulative property it can easily justify the power set axiom and the union axiom. It would be possible to prove that the cumulative cardinal theory of sets is equivalent to the Morse–Kelley set theory. In this way we provide a natural and plausibly consistent axiomatization for the Morse–Kelley set theory. (shrink)

The paper presents an exhaustive menu of nonmonotonic logics. The options are individuated in terms of the principles they reject. I locate, e.g., cumulative logics and relevance logics on this menu. I highlight some frequently neglected options, and I argue that these neglected options are particularly attractive for inferentialists.

The geology of Khanozai area is comprised of Indian Platform Sediments, the Suture Zone and Flysch Zone. The Khanozai Ophiolite Complex is a fragment of Zhob Valley ophiolites is marking the Suture Zone in the area and consists of mantle peridotite overlain by crustal ultramafic to mafic cumulate which is underlain by metamorphic sole rocks and mélange. The crustal section of the ophiolite comprises of both ultramafic to mafic cumulates. Ultramafic cumulates comprise repeated successions of dunite, pyroxenite and wehrlite while (...) mafic cumulates consist of foliated to layered gabbros. The Khanozai gabbros cover about 60% area of the crustal plutonic rocks and have a lower transitional contact with the ultramafic cumulates. The gabbros (sensu lato) are classified as olivine gabbro, gabbronorite, olivine gabbronorite, norite and gabbro. The mineralogy of the gabbros indicates that they have both primitive and evolved components. The geochemistry indicates that the Khanozai gabbros are tholeiitic in nature and comprise both cumulate and non-cumulate mineral phases with olivine, pyroxenes and plagioclase being involved in fractionation. The cyclic series of ultramafic cumulates and gabbros has a different order, thickness, and structure in the crustal part of ophiolite and this possibly results from a variable supply of different magma compositions to the chamber. The structure of Khanozai Ophiolite’ crustal section, with a well-developed plutonic sequence and absence of sheeted dyke indicate that these rocks may have formed in a tectonic setting with a slow spreading rate over different periods of time as a consequence of episodic low magma supply rates. These gabbros may have formed in a similar manner to the Semail Ophiolite’ gabbros and imply that a well-developed ophiolitic sequence is rarely formed in a tectonic setting where the spreading and magma supply rates are not balanced. (shrink)

The cumulative impact of enhancement technologies may alter the human species in the very long-term future. In this article, I will start showing how radical genetic enhancements may accelerate the conversion into a novel species. I will also clarify the concepts of ‘biological species’, ‘transhuman’ and ‘posthuman’. Then, I will summarize some ethical arguments for creating a transhuman or posthuman species with a substantially higher level of well-being than the human one. In particular, I will present what I shall call (...) the Principle of the Best Interests of Posthumanity, which states that the enhancement of the human and transhuman species must be directed towards the creation of a posthuman existence that is substantially more valuable than its predecessors. I suggest that human extinction may be considered, within that principle, as one of the best interests of posthumanity. Finally, I will develop three objections that make that principle unattractive and that show that pursuing a full-blown programme of posthuman evolution is ethically flawed. (shrink)

What makes fast, cumulative cultural evolution work? Where did it come from? Why is it the sole preserve of humans? We set out a self-assembly hypothesis: cultural evolution evolved culturally. We present an evolutionary account that shows this hypothesis to be coherent, plausible, and worthy of further investigation. It has the following steps: (0) in common with other animals, early hominins had significant capacity for social learning; (1) knowledge and skills learned by offspring from their parents began to spread because (...) bearers had more offspring, a process we call CS1 (or Cultural Selection 1); (2) CS1 shaped attentional learning biases; (3) these attentional biases were augmented by explicit learning biases (judgements about what should be copied from whom). Explicit learning biases enabled (4) the high-fidelity, exclusive copying required for fast cultural accumulation of knowledge and skills by a process we call CS2 (or Cultural Selection 2), and (5) the emergence of cognitive processes such as imitation, mindreading and metacognition – ‘cognitive gadgets’ specialised for cultural learning. This self-assembly hypothesis is consistent with archaeological evidence that the stone tools used by early hominins were not dependent on fast, cumulative cultural evolution, and suggests new priorities for research on ‘animal culture’. (shrink)

Experiences of embodied remembering are familiar and diverse. We settle bodily into familiar chairs or find our way easily round familiar rooms. We inhabit our own kitchens or cars or workspaces effectively and comfortably, and feel disrupted when our habitual and accustomed objects or technologies change or break or are not available. Hearing a particular song can viscerally bring back either one conversation long ago, or just the urge to dance. Some people explicitly use their bodies to record, store, or (...) cue memories. Others can move skilfully, without stopping to think, in complex and changing environments thanks to the cumulative expertise accrued in their history of fighting fires, or dancing, or playing hockey. The forms of memory involved in these cases may be distinct, operating at different timescales and levels, and by way of different mechanisms and media, but they often cooperate in the many contexts of our practices of remembering. (shrink)

American History X (hereafter AHX) has been accused by numerous critics of a morally dangerous cinematic seduction: using stylish cinematography, editing, and sound, the film manipulates the viewer through glamorizing an immoral and hate-filled neo-nazi protagonist. In addition, there’s the disturbing fact that the film seems to accomplish this manipulation through methods commonly grouped under the category of “fascist aesthetics.” More specifically, AHX promotes its neo-nazi hero through the use of several filmic techniques made famous by Nazi propagandist Leni Riefenstahl. (...) Now most critics admit that, in the end, the film claims to denounce racism and attempts to show us the conversion of the protagonist to the path of righteousness, but they complain that nonetheless the film (perhaps unintentionally) ends up implicitly promoting the immoral worldview it rather superficially professes to reject in its final act. This charge of hypocrisy is connected to another worry: the moral conversion in the film is said to fall flat because the intellectual resources on display to support the character’s racism are not counterbalanced by equally explicit (but superior) arguments for the anti-racist position ultimately embraced by the character. In other words, just as the devil is said to get all the good lines in Milton’s Paradise Lost, in AHX the racists get all the arguments. This has been taken to be a morally problematic flaw of the film. Critics lament that Derek’s conversion seems to result not from relevant logical inferences and valid rational argumentation but from overly simplistic and arguably egoistic insights (e.g., “has anything you've done made your life better?”) combined, perhaps, with a hackneyed cliché (in prison, one of his best friends is a black person!) In this paper I’ll attempt to rebut these charges and defend the film as a powerful, and powerfully moral, work of art. I’ll be suggesting that the seductive techniques employed allow for many viewers a degree of sympathy towards the protagonist that is crucial, both for making that character’s more horrific actions especially unsettling, and also for making his eventual conversion plausible and ultimately compelling. I’ll also argue that the manner in which his conversion is presented is in fact subtler than many critics have allowed: Derek’s transformation is not artificial or implausible but is depicted as resulting from a cumulative series of emotionally powerful life events and personal engagements. It is certainly true that it is not represented in the way some would seemingly have preferred, i.e. as straightforwardly resulting from a process of gradual intellectual improvement in Derek’s reasoning on questions of race and politics. However, I’ll argue that the decidedly emotional basis of his moral evolution is both refreshingly realistic and no hindrance to accepting his conversion as rational. Finally, properly understanding the legitimacy of the emotional foundations of much moral thought will also allow us to appreciate the ways in which our initial worries about this film’s (not insignificant) ability to persuade viewers through the engagement of emotions need not, in itself, be seen as a barrier to endorsing the film as a morally praiseworthy work. (shrink)

Experiences of embodied remembering are familiar and diverse. We settle bodily into familiar chairs or find our way easily round familiar rooms. We inhabit our own kitchens or cars or workspaces effectively and comfortably, and feel disrupted when our habitual and accustomed objects or technologies change or break or are not available. Hearing a particular song can viscerally bring back either one conversation long ago, or just the urge to dance. Some people explicitly use their bodies to record, store, or (...) cue memories. Others can move skilfully, without stopping to think, in complex and changing environments thanks to the cumulative expertise accrued in their history of fighting fires, or dancing, or playing hockey. The forms of memory involved in these cases may be distinct, operating at different timescales and levels, and by way of different mechanisms and media, but they often cooperate in the many contexts of our practices of remembering. (shrink)

Section 1 provides a brief summary of the pair-list literature singling out some points that are particularly relevant for the coming discussion. -/- Section 2 shows that the dilemma of quantifi cation versus domain restriction arises only in extensional complement interrogatives. In matrix questions and in intensional complements only universals support pairlist readings, whence the simplest domain restriction treatment suffices. Related data including conjunction, disjunction, and cumulative readings are discussed -/- Section 3 argues that in the case of extensional complements (...) the domain restriction treatment is inadequate for at least two independent reasons. One has to do with the fact that not only upward monotonic quantifi ers support pairlist readings, and the other with the derivation of apparent scope out readings. The reasoning is supplemented with some discussion of the semantic properties of layered quantifi ers.  The above will establish the need for quantifi cation, so the question arises how the objections explicitly enlisted in the literature against quantifi cation can be answered. Section 4 considers the de dicto reading of the quantifi er s restriction, quanti cational variability, and the absence of pairlist readings with whether questions, and argues that they need not militate against the quanti ficational analysis. -/- Section 5 summarizes the emergent proposal -/- Finally, section 6 discusses the signifi cance of the above findings for the behavior of weak islands. (shrink)

Objective of the study: To analyze the costs and profits of sugarcane production regarding the cultural practices of sugarcane suppliers. Methodology/approach: This study positions itself in this gap by comparatively analyzing 6 types of cultural practices: unraveling, windrowing, application of correctives, herbicides, insecticides and fertilizers, with the option of two systems Fixed rate (TF) and Variable rate (TV). Originality/Relevance: Brazil is a world reference in sugarcane production, with the State of São Paulo being the largest Brazilian producer. However, for sugarcane (...) suppliers to maintain this activity there is a need to reduce production costs and increase profitability/ha. However, there is a theoretical-practical gap in the financial assessment (costs and profits) of different cultural practices inherent to sugarcane production. Main results: The results demonstrated that the costs of cultural practices represent more than 30% of the total sugarcane production costs. The TF system proved to be more cost-efficient in the following operations: correctives, herbicides and insecticides. In the application of fertilizers, the TV system, in broadcast mode, had the best result. Finally, the profit/ton was R$1.70, demonstrating a very low profit margin/ha given the risk of the activity. Theoretical/methodological contributions: The sample for this research comprised 55 sugarcane suppliers from the State of São Paulo, whose data were obtained through a survey. The comparative analysis was based on the difference in costs of cultural practices and the estimation of the level of certainty (profit/costs), analyzed through the cumulative frequency carried out through the Monte Carlo Simulation (SMC). (shrink)

There are at least twelve major virtues of good theories: evidential accuracy, causal adequacy, explanatory depth, internal consistency, internal coherence, universal coherence, beauty, simplicity, unification, durability, fruitfulness, and applicability. These virtues are best classified into four classes: evidential, coherential, aesthetic, and diachronic. Each virtue class contains at least three virtues that sequentially follow a repeating pattern of progressive disclosure and expansion. Systematizing the theoretical virtues in this manner clarifies each virtue and suggests how they might have a coordinated and cumulative (...) role in theory formation and evaluation across the disciplines—with allowance for discipline specific modification. An informal and flexible logic of theory choice is in the making here. Evidential accuracy, according to my systematization, is not a largely isolated trait of good theories, as some have made it out to be. Rather, it bears multifaceted relationships, constituting significant epistemic entanglements, with other theoretical virtues. (shrink)

Most of the processes subsumed under »digitalization« have in common that they permit switching and simultaneity of sender and recipient roles over a broad range of communications. Preeminently, such communications provide and process information. However, the progress of digitalization in modern lifeworlds is not primarily driven by the development of digital technology. Digital technology is but the appropriate medium for enabling the exchange of the respective formats of information. Its thrust is embedded in a cumulative history of translation of analogue (...) world-relations into such formats of information and, moreover, the progressive transformation of reality in data-structures that can be digitally mapped and controlled. Such structures are attractive because they render our access to and handling of reality more secure and more predictable. Yet they also engender increasing helplessness and discontentment at the boundaries of the digitally controllable world. (shrink)

Increasingly, the high throughput technologies used by biomedical researchers are bringing about a situation in which large bodies of data are being described using controlled structured vocabularies—also known as ontologies—in order to support the integration and analysis of this data. Annotation of data by means of ontologies is already contributing in significant ways to the cumulation of scientific knowledge and, prospectively, to the applicability of cross-domain algorithmic reasoning in support of scientific advance. This very success, however, has led to a (...) proliferation of ontologies of varying scope and quality. We define one strategy for achieving quality assurance of ontologies—a plan of action already adopted by a large community of collaborating ontologists—which consists in subjecting ontologies to a process of peer review analogous to that which is applied to scientific journal articles. (shrink)

In this paper, I challenge a traditional assumption concerning the nature and aims of education. According to epistemic infallibilism, propositional knowledge requires epistemic certainty. Though some philosophers accept infallibilism, others consider it implausible because it does not recognize ordinary cases of supposed knowledge. On this objection, we possess many items of propositional knowledge, notwithstanding the fallibleness of these items. Infallibilism is inconsistent with such items and thus considered unwarranted. I articulate this kind of objection to infallibilism as it concerns education. (...) I then offer a cumulative case defense of infallibilism and evaluate that defense. This examination suggests that much of what we commonly consider as education does not provide knowledge, and therefore that the traditional assumption is incorrect. My paper has interdisciplinary interests with respect to epistemology, philosophy of education, philosophy of science, and pedagogical practice. (shrink)

The diversity in agronomic practices being used by sugarcane producers in Brazil determines differences in economic performance and cost structure. The purpose of this study is to evaluate the cost of six systems of agronomic practices using fixed or variable rates for soil amendment, fertilizer, and defensive applications and assess the profitability of these systems at three scales of sugarcane production. We then describe the data sample related to the 2019–2020 harvest season and collected from fifty-five sugarcane producers in the (...) central-south region of Brazil. Thereafter, using a quantitative approach, a cost analysis was performed, and the cumulative frequency of the net revenue for the three scales of production (small, medium, and large), was calculated using a Monte Carlo simulation. The cost analysis indicated that fertilizer had the highest cost considering the agronomic practices adopted at the three scales of production analyzed. The cumulative frequency analysis results from the Monte Carlo simulation showed the highest net revenue per hectare for medium sugarcane producers. In addition, the presence of economies of scale was not confirmed because the lowest cost was found in small-scale sugarcane producers and the highest net revenue was obtained by medium-scale sugarcane producers. (shrink)

Research programs in empirical psychology from the past two decades have revealed implicit biases. Although implicit processes are pervasive, unavoidable, and often useful aspects of our cognitions, they may also lead us into error. The most problematic forms of implicit cognition are those which target social groups, encoding stereotypes or reflecting prejudicial evaluative hierarchies. Despite intentions to the contrary, implicit biases can influence our behaviours and judgements, contributing to patterns of discriminatory behaviour. These patterns of discrimination are obviously wrong and (...) unjust. But in remedying such wrongs, one question to be addressed concerns responsibility for implicit bias. Unlike some paradigmatic forms of wrongdoing, such discrimination is often unintentional, unendorsed, and perpetrated without awareness; and the harms are particularly damaging because they are cumulative and collectively perpetrated. So, what are we to make of questions of responsibility? In this article, we outline some of the main lines of recent philosophical thought, which address questions of responsibility for implicit bias. We focus on (a) the kind of responsibility at issue; (b) revisionist versus nonrevisionist conceptions of responsibility as applied to implicit bias; and (c) individual, institutional, and collective responsibility for implicit bias. (shrink)

This paper explores various subtleties in our ordinary thought and talk about normative reasons—subtleties which, if taken seriously, have various upshots, both substantive and methodological. I focus on two subtleties in particular. The first concerns the use of reason (in its normative sense) as both a count noun and as a mass noun, and the second concerns the context-sensitivity of normative reasons-claims. The more carefully we look at the language of reasons, I argue, the clearer its limitations and liabilities become. (...) The cumulative upshot is that although talk of reasons is intelligible and useful for the purposes of communication, we should be wary of placing much weight on it when engaging in substantive normative inquiry. By way of illustration, I consider some potential pitfalls of taking our talk of reasons too seriously, explaining how careful attention to the language of reasons undermines the main argument for moral particularism, Mark Schroeder’s recent defense of Humeanism about practical reasons, and the “reasons-first” program in metanormativity. (shrink)

Discussions of group knowledge typically focus on whether a group’s knowledge that p reduces to group members’ knowledge that p. Drawing on the cumulative reading of collective knowledge ascriptions and considerations about the importance of the division of epistemic labour, I argue what I call the Fragmented Knowledge account, which allows for more complex relations between individual and collective knowledge. According to this account, a group can know an answer to a question in virtue of members of the group knowing (...) parts of that answer, when the whole answer is available to group-level action. I argue that this account explains a swathe of central cases of group knowledge, as well as explaining some central features of group knowledge. (shrink)

Some things look more complex than others. For example, a crenulate and richly organized leaf may seem more complex than a plain stone. What is the nature of this experience—and why do we have it in the first place? Here, we explore how object complexity serves as an efficiently extracted visual signal that the object merits further exploration. We algorithmically generated a library of geometric shapes and determined their complexity by computing the cumulative surprisal of their internal skeletons—essentially quantifying the (...) “amount of information” within each shape—and then used this approach to ask new questions about the perception of complexity. Experiments 1–3 asked what kind of mental process extracts visual complexity: a slow, deliberate, reflective process (as when we decide that an object is expensive or popular) or a fast, effortless, and automatic process (as when we see that an object is big or blue)? We placed simple and complex objects in visual search arrays and discovered that complex objects were easier to find among simple distractors than simple objects are among complex distractors—a classic search asymmetry indicating that complexity is prioritized in visual processing. Next, we explored the function of complexity: Why do we represent object complexity in the first place? Experiments 4–5 asked subjects to study serially presented objects in a self‐paced manner (for a later memory test); subjects dwelled longer on complex objects than simple objects—even when object shape was completely task‐irrelevant—suggesting a connection between visual complexity and exploratory engagement. Finally, Experiment 6 connected these implicit measures of complexity to explicit judgments. Collectively, these findings suggest that visual complexity is extracted efficiently and automatically, and even arouses a kind of “perceptual curiosity” about objects that encourages subsequent attentional engagement. (shrink)

I identify two reasons for believing in the objectivity of mathematical knowledge: apparent objectivity and applications in science. Focusing on arithmetic, I analyze platonism and cognitive nativism in terms of explaining these two reasons. After establishing that both theories run into difficulties, I present an alternative epistemological account that combines the theoretical frameworks of enculturation and cumulative cultural evolution. I show that this account can explain why arithmetical knowledge appears to be objective and has scientific applications. Finally, I will argue (...) that, while this account is compatible with platonist metaphysics, it does not require postulating mind-independent mathematical objects. (shrink)

This paper attempts to reconcile critics and defenders of inclusive fitness by constructing a synthesis that does justice to the insights of both. I argue that criticisms of the regression-based version of Hamilton’s rule, although they undermine its use for predictive purposes, do not undermine its use as an organizing framework for social evolution research. I argue that the assumptions underlying the concept of inclusive fitness, conceived as a causal property of an individual organism, are unlikely to be exactly true (...) in real populations, but they are approximately true given a specific type of weak selection that Hamilton took, on independent grounds, to be responsible for the cumulative assembly of complex adaptation. Finally, I reflect on the uses and limitations of “design thinking” in social evolution research. The debate about the foundations of inclusive fitness theory that has followed in the wake of Nowak, Tarnita and Wilson’s (1) critique has been remarkably polarizing. After several rounds of rebuttals and replies, there is still little evidence of any serious reconciliation between the theory’s critics (2-10) and its defenders (11-24). It doesn’t have to be this way. I believe that, on the main points of disagreement, it is possible to find a way forward that does justice to the insights of both camps. My aim in this paper is to find that way forward. (shrink)

There are 1,000 of us and one victim. We each increase the level at which a "discomfort machine" operates on the victim---leading to great discomfort. Suppose that consecutive levels of the machine are so similar that the victim cannot distinguish them. Have we acted permissibly? According to the "no-difference argument" the answer is "yes" because each of our actions was guaranteed to make the victim no worse off. This argument is of interest because if it is sound, similar arguments threaten (...) intuitive moral verdicts about many cases in which a large number of individual choices cumulatively make a great difference, while each choice seems to make no difference on its own. But the argument is not sound, as is shown by a simple objection based on a plausible dominance principle---an objection that avoids challenges that have been brought against previous criticisms of the no difference argument. (shrink)

The article proposes to further develop the ideas of the Extended Evolutionary Synthesis by including into evolutionary research an analysis of phenomena that occur above the organismal level. We demonstrate that the current Extended Synthesis is focused more on individual traits (genetically or non-genetically inherited) and less on community system traits (synergetic/organizational traits) that characterize transgenerational biological, ecological, social, and cultural systems. In this regard, we will consider various communities that are made up of interacting populations, and for which the (...) individual members can belong to the same or to different species. Examples of communities include biofilms, ant colonies, symbiotic associations resulting in holobiont formation, and human societies. The proposed model of evolution at the level of communities revises classic theorizing on the major transitions in evolution by analyzing the interplay between community/social traits and individual traits, and how this brings forth ideas of top-down regulations of bottom-up evolutionary processes (collaboration of downward and upward causation). The work demonstrates that such interplay also includes reticulate interactions and reticulate causation. In this regard, we exemplify how community systems provide various non-genetic ‘scaffoldings’, ‘constraints’, and ‘affordances’ for individual and sociocultural evolutionary development. Such research complements prevailing models that focus on the vertical transmission of heritable information, from parent to offspring, with research that instead focusses on horizontal, oblique and even reverse information transmission, going from offspring to parent. We call this reversed information transfer the ‘offspring effect’ to contrast it from the ‘parental effect’. We argue that the proposed approach to inheritance is effective for modelling cumulative and distributed developmental process and for explaining the biological origins and evolution of language. (shrink)

The development of symbolic logic is often presented in terms of a cumulative story of consecutive innovations that led to what is known as modern logic. This narrative hides the difficulties that this new logic faced at first, which shaped its history. Indeed, negative reactions to the emergence of the new logic in the second half of the nineteenth century were numerous and we study here one case, namely logic at Oxford, where one finds Lewis Carroll, a mathematical teacher who (...) promoted symbolic logic, and John Cook Wilson, the Wykeham Professor of Logic who notoriously opposed it. An analysis of their disputes on the topic of logical symbolism shows that their opposition was not as sharp as it might look at first, as Cook Wilson was not so much opposed to the « symbolic » character of logic, but the intrusion of mathematics and what he perceived to be the futility of some of its problems, for logicians and philosophers alike. (shrink)

This review covers experimental approaches to sound-symbolism—from infants to adults, and from Sapir’s foundational studies to twenty-first century product naming. It synthesizes recent behavioral, developmental, and neuroimaging work into a systematic overview of the cross-modal correspondences that underpin iconic links between form and meaning. It also identifies open questions and opportunities, showing how the future course of experimental iconicity research can benefit from an integrated interdisciplinary perspective. Combining insights from psychology and neuroscience with evidence from natural languages provides us with (...) opportunities for the experimental investigation of the role of sound-symbolism in language learning, language processing, and communication. The review finishes by describing how hypothesis-testing and model-building will help contribute to a cumulative science of sound-symbolism in human language. (shrink)

Only our lineage has ever used trackways reading to find unseen and unheard targets. All other terrestrial animals, including our great ape cousins, use scent trails and airborne odors. Because trackways as natural signs have very different properties, they possess an information-rich narrative structure. There is good evidence we began to exploit conspecific trackways in our deep past, at first purely associatively, for safety and orienteering when foraging in vast featureless wetlands. Since our own old trackways were recognizable they were (...) self-mirroring, triggering memories of what we had been up to in the past. Using them to find our way back to the band when temporarily lost or to re-find a resource-rich area discovered the day before enabled optimal foraging. Selection for daily reiteration of one’s own old trackways therefore triggered the evolution of what is distinctive about human cognition: the autobiographical or narrative (episodic) faculty for imaginative self-projection. This faculty enabled us to glean useful social information from the stories “told” by other band members’ old trackways, and created spin-off capacities for fast-track social learning. Resultant increases in socioecological complexity then created positive selective feedback loops for further entrenchment. Incrementally we became the ultra-social narrative-minded ape, capable of creating cumulative culture. (shrink)

Dans ses Salons Denis Diderot explique l’aspect communicatif de la peinture. Le peintre de génie partage sa vision cumulative de la beauté naturelle dont il a fait l’expérience. Devant la toile réussie, le spectateur préparé vie sa propre expérience — selon lui la tentative surpassant la beauté naturelle de la nature originaire. Toutefois, semblant transcendante, cette rencontre reste carrément matérialiste. Diderot dévoile l'apparente transcendance. Du point de vue spectatoriel, en communiquant, les œuvres de génie apportent une expérience censée magique qui (...) s'explique de manière empirique: il s'agit de prestidigitation, non pas de sorcellerie. Ainsi, l'explication n'efface pas forcément le merveilleux de l'expérience. Diderot, encyclopédiste, défend la valeur riche de l'expérience, des lumières. Cette communication ciblera la magie ressentie par le spectateur en soulignant que, manque de récepteur convenable la magie s'évapore. Il incombe au spectateur de se préparer — d'où l'importance redoublée de l'expérience — afin que la communication artistique magique le réjouisse. (shrink)

In her ‘On the apparent paradox of ideal theory’, Laura Valentini combines three supposedly plausible premises to derive the paradoxical result that ideal theory is both unable to, and indispensable for, guiding action. Her strategy is to undermine one of the three premises by arguing that there are good and bad kinds of ideal theory, and only the bad kinds are vulnerable to the strongest version of their opponents’ attack. By undermining one of the three premises she releases ideal theorists (...) from the paradox, which is as follows. (1) Any sound theory of justice is action-guiding. (2) Any sound theory of justice is ideal. (3) Any ideal theory fails to be action-guiding. Here I shall respond to Valentini in two ways. First, I shall show that both (1) and (2) are false. The falsity of either is sufficient to release ideal theorists from the paradox. Second, I shall show that Valentini’s response to (3) can be extended, because her bad kinds of ideal theory do not necessarily fail to guide action. The cumulative effect of my arguments further strengthens Valentini’s support of ideal theory. I will deal with premises (1) and (2) in Sections I and II, and (3) in Section III. (shrink)

In the Laws, Plato argues that the legislator should attempt to persuade people to voluntarily obey the laws. This persuasion is accomplished through use of legislative preludes. Preludes (also called preambles) are short arguments written into the legal code, which precede laws and give reasons to follow them. In this paper, I argue that Plato’s use of persuasive preludes shows that he endorses the core features of a public reason theory of political justification. Many philosophers argue that Plato’s political philosophy (...) is deeply at odds with contemporary liberal political philosophy. While Plato certainly does not affirm (and even rejects) some of the main features of liberalism, if it could be shown that he endorses some account of public reason (which is a liberal idea to its core), this would suggest that there is more in common between Plato and liberalism than many philosophers think. Furthermore, if combined with the work of philosophers, like C.C.W. Taylor, this could form a cumulative case against those who argue that there is little in common between Plato’s political philosophy and liberalism. In short, by showing that Plato endorses the core features of public reason, I endeavor to show that there is more in common between Plato and liberalism than is often thought. (shrink)

Human biological memory systems have adapted to use technological artifacts to overcome some of the limitations of these systems. For example, when performing a difficult calculation, we use pen and paper to create and store external number symbols; when remembering our appointments, we use a calendar; when remembering what to buy, we use a shopping list. This chapter looks at the history of memory artifacts, describing the evolution from cave paintings to virtual reality. It first characterizes memory artifacts, memory systems, (...) and the two main functions such artifacts have, which are to aid individual users in completing memory tasks and as a cultural inheritance channel (section 2). It then outlines some of our first symbolic practices such as making cave paintings and figurines, and then moves on to outline several key developments in external representational systems and the artifacts that support these such as written language, numeral systems and counting devices, diagrams and maps, measuring devices, libraries and archives, photographs, analogue and digital computational artifacts, the World Wide Web, virtual reality, and smartphones (section 3). After that, it makes some brief points about the cumulative nature of the cultural evolution of memory artifacts and speculates about the possible future of memory artifacts, arguing that it is very difficult to look beyond an epistemological horizon of more than five years (section 4). (shrink)

Sartori (1970) warned a long time ago of the danger of concept stretching for effective and cumulative theory building. Such concept stretching has happened with regard to deliberation, which has become a very faddish term. For theoretically well-founded empirical research it is better conceptually to distinguish clearly between strategic bargaining and deliberation, although in the empirical political world the two concepts are usually heavily intertwined. Keywords deliberation; concept stretching; strategic bargaining.

Information-theoretic approaches to formal logic analyse the "common intuitive" concept of propositional implication (or argumental validity) in terms of information content of propositions and sets of propositions: one given proposition implies a second if the former contains all of the information contained by the latter; an argument is valid if the conclusion contains no information beyond that of the premise-set. This paper locates information-theoretic approaches historically, philosophically and pragmatically. Advantages and disadvantages are identified by examining such approaches in themselves and (...) by contrasting them with standard transformation-theoretic approaches. Transformation-theoretic approaches analyse validity (and thus implication) in terms of transformations that map one argument onto another: a given argument is valid if no transformation carries it onto an argument with all true premises and false conclusion. Model-theoretic, set-theoretic, and substitution-theoretic approaches, which dominate current literature, can be construed as transformation-theoretic, as can the so-called possible-worlds approaches. Ontic and epistemic presuppositions of both types of approaches are considered. Attention is given to the question of whether our historically cumulative experience applying logic is better explained from a purely information-theoretic perspective or from a purely transformation-theoretic perspective or whether apparent conflicts between the two types of approaches need to be reconciled in order to forge a new type of approach that recognizes their basic complementarity. (shrink)

Suppose we wish to decide which of a pair of actions has better consequences in a case in which both actions result in infinite utility. Peter Vallentyne and others have proposed that one action has better consequences than a second if there is a time after which the cumulative utility of the first action always outstrips the cumulative utility of the second. I argue against this principle, in particular I show how cases may arise in which up to any point (...) of time action a1 produces more utility than action a2, yet for each individual involved a2 produces more utility. (shrink)

In this chapter, I argue that the field of cultural evolution can usefully inform attempts to understand and influence the long-term future. First, I provide an overview of cultural evolution, covering what it means for culture to evolve, the mechanisms by which it happens, the crucial importance of cumulative cultural evolution for hunan history, and how cultural evolution (and in particular intergroup competition) has driven the rise of large-scale cooperation. Second, I draw out some possible lessons from cultural evolution for (...) thinking about the long-term future. In particular, I suggest we should be careful not to prematurely ”lock in” certain values or other cultural features, and instead aim for a society open to variation and competition. I also consider whether the future will bring greater selection pressure for particular kinds of values, such as patience. (shrink)

This paper addresses the stalemate on the question whether biodiversity has intrinsic value. I distinguish between a “weak” conception and two “strong” conceptions of intrinsic value in the environmental ethics literature. The strong conceptions of intrinsic value are connected, respectively, to moral standing and to a strongly objectivist account of value. Neither of these forms of value likely applies to biodiversity. However, the weak conception of intrinsic value is neutral about both moral standing and the nature of value and plausibly (...) applies to biodiversity. In addition, weak intrinsic value avoids common objections to the claim that biodiversity is intrinsically valuable. I develop a cumulative argument showing that environmentalists should presume that biodiversity has intrinsic value in the weak sense. (shrink)

In this paper, I am clarifying and defending my argument in favor of the claim that cumulative selection can explain adaptation provided that the environmental resources are limited. Further, elaborate on what this limitation of environmental resources means and why it is relevant for the explanatory power of natural selection.

Byerly has proposed a novel solution to the gap problem for cosmological arguments. I contend that his strategy can be used to strengthen a wide range of other theistic arguments as well, and also to stitch them together into a cumulative case for theism. I illustrate these points by applying Byerly’s idea about cosmological arguments to teleological arguments.