Reasonableness and Effectiveness in Argumentative Discourse: Fifty Contributions to the Development of Pragma-Dialectics.Scott Jacobs,Sally Jackson,Frans Eemeren &Frans H. van Eemeren (eds.) -2015 - Cham, Switzerland: Springer Verlag.detailsHow do Dutch people let each other know that they disagree? What do they say when they want to resolve their difference of opinion by way of an argumentative discussion? In what way do they convey that they are convinced by each other’s argumentation? How do they criticize each other’s argumentative moves? Which words and expressions do they use in these endeavors? By answering these questions this short essay provides a brief inventory of the language of argumentation in Dutch.
Indigenous knowledge and species assessment for the Alexander Archipelago wolf: successes, challenges, and lessons learned.Jeffrey J. Brooks,I. Markegard, Sarah,J. Langdon, Stephen,Delvin Anderstrom,Michael Douville,A. George, Thomas,Michael Jackson,Scott Jackson,Thomas Mills,Judith Ramos,Jon Rowan,Tony Sanderson &Chuck Smythe -2024 -Journal of Wildlife Management 88 (6):e22563.detailsThe United States Fish and Wildlife Service in Alaska, USA, conducted a species status assessment for a petition to list the Alexander Archipelago wolf (Canis lupus ligoni) under the Endangered Species Act in 2020-2022. This federal undertaking could not be adequately prepared without including the knowledge of Indigenous People who have a deep cultural connection with the subspecies. Our objective is to communicate the authoritative expertise and voice of the Indigenous People who partnered on the project by demonstrating how their (...) knowledge contributed to the species status assessment. The Indigenous knowledge applied in the assessment is the cultural and intellectual property of those who have shared it. We employed rapid appraisal research to expeditiously develop a preliminary and qualitative understanding of Indigenous People's cultural and ecological knowledge of Alexander Archipelago wolves. We used semi-directed interviewing and inductive coding from grounded theory for text analysis. Indigenous knowledge contributed to the agency's understanding of the Alexander Archipelago wolf in Southeast Alaska and helped the agency with their classification decision. Indigenous research partners explained the rich cultural significance and position of wolves in Tlingit society and described human–wolf relationships and ecological interactions. The agency used a single-species assessment approach based in species ecology and conservation biology, whereas the Indigenous wolf experts applied a multi-species, community ecology approach based in a sociocultural context of balance and respect. The Indigenous wolf experts successfully addressed knowledge gaps identified by the agency. The partners were challenged by a short regulatory timeframe that did not allow for comprehensive study of Indigenous knowledge and constrained review and feedback by Indigenous experts. The United States Fish and Wildlife Service learned that its assessment framework was not designed to account for an Indigenous worldview. To level the playing field, the agency and Indigenous experts should discuss how to co-develop an assessment framework that equitably applies both perspectives. (shrink)
Design Thinking in Argumentation Theory and Practice.Sally Jackson -2015 -Argumentation 29 (3):243-263.detailsThis essay proposes a design perspective on argumentation, intended as complementary to empirical and critical scholarship. In any substantive domain, design can provide insights that differ from those provided by scientific or humanistic perspectives. For argumentation, the key advantage of a design perspective is the recognition that humanity’s natural capacity for reason and reasonableness can be extended through inventions that improve on unaided human intellect. Historically, these inventions have fallen into three broad classes: logical systems, scientific methods, and disputation frameworks. (...) Behind each such invention is a specifiable “design hypothesis”: an idea about how to decrease error or how to increase the quality of outcomes from reasoning. As problems in contemporary argumentation practice become more complex, design thinking rises in relevance and importance. A design research agenda in argumentation would focus on theorizing design innovations and on evaluating design hypotheses. (shrink)
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Digital tools in the informed consent process: a systematic review.Francesco Gesualdo,Margherita Daverio,Laura Palazzani,Dimitris Dimitriou,Javier Diez-Domingo,Jaime Fons-Martinez,Sally Jackson,Pascal Vignally,Caterina Rizzo &Alberto Eugenio Tozzi -2021 -BMC Medical Ethics 22 (1):1-10.detailsBackground Providing understandable information to patients is necessary to achieve the aims of the Informed Consent process: respecting and promoting patients’ autonomy and protecting patients from harm. In recent decades, new, primarily digital technologies have been used to apply and test innovative formats of Informed Consent. We conducted a systematic review to explore the impact of using digital tools for Informed Consent in both clinical research and in clinical practice. Understanding, satisfaction and participation were compared for digital tools versus the (...) non-digital Informed Consent process. Methods We searched for studies on available electronic databases, including Pubmed, EMBASE, and Cochrane. Studies were identified using specific Mesh-terms/keywords. We included studies, published from January 2012 to October 2020, that focused on the use of digital Informed Consent tools for clinical research, or clinical procedures. Digital interventions were defined as interventions that used multimedia or audio–video to provide information to patients. We classified the interventions into 3 different categories: video only, non-interactive multimedia, and interactive multimedia. Results Our search yielded 19,579 publications. After title and abstract screening 100 studies were retained for full-text analysis, of which 73 publications were included. Studies examined interactive multimedia, non-interactive multimedia, and videos, and most studies were conducted on adults. Innovations in consent were tested for clinical/surgical procedures and clinical research. For research IC, 21 outcomes were explored, with a positive effect on at least one of the studied outcomes being observed in 8/12 studies. For clinical/surgical procedures 49 outcomes were explored, and 21/26 studies reported a positive effect on at least one of the studied outcomes. Conclusions Digital technologies for informed consent were not found to negatively affect any of the outcomes, and overall, multimedia tools seem desirable. Multimedia tools indicated a higher impact than videos only. Presence of a researcher may potentially enhance efficacy of different outcomes in research IC processes. Studies were heterogeneous in design, making evaluation of impact challenging. Robust study design including standardization is needed to conclusively assess impact. (shrink)
Reason-Giving and the Natural Normativity of Argumentation.Sally Jackson -2019 -Topoi 38 (4):631-643.detailsArgument is a pervasive feature of human interaction, and in its natural contexts of occurrence, it is organized around the management of disagreement. Since disagreement can occur around any kind of speech act whatsoever, not all arguments involve a claim supported by reasons; many involve standpoints attributed to someone but claimed by no one. And although truth and validity are often at issue in naturally occurring arguments, these do not exhaust the standards to which arguers are held. Arguers hold one (...) another accountable for cooperating in the management of disagreement, infusing argumentation with a natural normativity that exists apart from any theorized appraisal standard applied to the claim-reason relationship. Argumentation’s natural normativity is visible not only in how arguments unfold in interaction but also in how humanity continuously strives to improve its methods of disagreement management. (shrink)
Countable borel equivalence relations.S. Jackson,A. S. Kechris &A. Louveau -2002 -Journal of Mathematical Logic 2 (01):1-80.detailsThis paper develops the foundations of the descriptive set theory of countable Borel equivalence relations on Polish spaces with particular emphasis on the study of hyperfinite, amenable, treeable and universal equivalence relations.
Cochrane Review as a “Warranting Device” for Reasoning About Health.Sally Jackson &Jodi Schneider -2018 -Argumentation 32 (2):241-272.detailsContemporary reasoning about health is infused with the work products of experts, and expert reasoning about health itself is an active site for invention and design. Building on Toulmin’s largely undeveloped ideas on field-dependence, we argue that expert fields can develop new inference rules that, together with the backing they require, become accepted ways of drawing and defending conclusions. The new inference rules themselves function as warrants, and we introduce the term “warranting device” to refer to an assembly of the (...) rule plus whatever material, procedural, and institutional resources are required to assure its dependability. We present a case study on the Cochrane Review, a new method for synthesizing evidence across large numbers of scientific studies. After reviewing the evolution and current structure of the device, we discuss the distinctive kinds of critical questions that may be raised around Cochrane Reviews, both within the expert field and beyond. Although Toulmin’s theory of field-dependence is often criticized for its relativism, we find that, as a matter of practical fact, field-specific warrants do not enjoy immunity from external critique. On the contrary, they can be opened to evaluation and critique from any interested perspective. (shrink)
Recruiting Dark Personalities for Earnings Management.Ling L. Harris,Scott B. Jackson,Joel Owens &Nicholas Seybert -2022 -Journal of Business Ethics 178 (1):193-218.detailsPrior research indicates that managers’ dark personality traits increase their tendency to engage in disruptive and unethical organizational behaviors including accounting earnings management. Other research suggests that the prevalence of dark personalities in management may represent an accidental byproduct of selecting managers with accompanying desirable attributes that fit the stereotype of a “strong leader.” Our paper posits that organizations may hire some managers who have dark personality traits because their willingness to push ethical boundaries aligns with organizational objectives, particularly in (...) the accounting context where ethical considerations are especially important. Using several validation studies and experiments, we find that experienced executives and recruiting professionals favor hiring a candidate with dark personality traits into an accounting management position over an otherwise better-qualified candidate when the hiring organization faces pressure to manage earnings. Our results help to illuminate why individuals with dark personality traits may effectively compete for high-level accounting positions. (shrink)
Relevance and digressions in argumentative discussion: A pragmatic approach.Scott Jacobs &Sally Jackson -1992 -Argumentation 6 (2):161-176.detailsDigressions in argumentative discussion are a kind of failure of relevance. Examination of what actual cases look like reveals several properties of argumentative relevance: (1) The informational relevance of propositions to the truth value of a conclusion should be distinguished from the pragmatic relevance of argumentative acts to the task of resolving a disagreement. (2) Pragmatic irrelevance is a collaborative phenomenon. It does not just short-circuit reasoning; it encourages a failure to take up the demands of an argumentative task. (3) (...) Pragmatic irrelevance can occur not simply by the absence of a connection between what is said and some standpoint in dispute, but also by the presence of a connection between what is said and a competing use of the information. (4) Pragmatic relevance must be accomplished through communicative action. (shrink)
Disputation by Design.Sally Jackson -1997 -Argumentation 12 (2):183-198.detailsIn normative pragmatics, a kind of empirical discourse analysis organized by normative theory, the analysis of any communication process begins with an idealized model of the discourse that can be compared with actual practices. Idealizations of argumentation can be found, among other places, in theoretical descriptions of âcritical discussionâ and other dialogue types. Comparing ideal models with actual practices can pinpoint defects in the models (leading to theoretical refinements), but it can also identify deficiencies in practice. This latter possibility invites (...) redesign around well-justified idealizations. This paper outlines an approach to the design of discourse processes and illustrates the approach with contrastive analysis of several recently developed protocols for discussion and debate on the worldwide web. (shrink)
Black Box Arguments.Sally Jackson -2008 -Argumentation 22 (3):437-446.details“Black box argument” is a metaphor for modular components of argumentative discussion that are, within a particular discussion, not open to expansion. In public policy debate such as the controversy over abstinence-only sex education, scientific conclusions enter the discourse as black boxes consisting of a result returned from an external and largely impenetrable process. In one way of looking at black box arguments, there is nothing fundamentally new for the argumentation theorist: A black box argument is very like any other (...) appeal to authority, and what might be said about any particular form of black box will turn out to be a particularized version of what might be said about evaluating arguments based on authority. But in another way of looking at black box arguments, they are a constantly evolving technology for coming to conclusions and making these conclusions broadly acceptable. Black boxes are to argumentation what material inventions are to engineering and related sciences. They are anchored in and constrained by fundamental natural processes, but they are also new things that require theoretical explication and practical assessment. (shrink)
Determinacy and Jónsson cardinals in L.S. Jackson,R. Ketchersid,F. Schlutzenberg &W. H. Woodin -2014 -Journal of Symbolic Logic 79 (4):1184-1198.detailsAssume ZF + AD +V=L and letκ< Θ be an uncountable cardinal. We show thatκis Jónsson, and that if cof = ω thenκis Rowbottom. We also establish some other partition properties.
The case of the stolen psychology test: An analysis of an actual cheating incident.Patricia J. Faulkender,Lillian M. Range,Michelle Hamilton,Marlow Strehlow,Sarah Jackson,Elmer Blanchard &Paul Dean -1994 -Ethics and Behavior 4 (3):209 – 217.detailsWe examined the attitudes of 600 students in large introductory algebra and psychology classes toward an actual or hypothetical cheating incident and the subsequent retake procedure. Overall, 57% of students in one class and 49Y0 in the other reported that they either cheated or would have cheated if given the opportunity. More men (59%) than women (53%) reported cheating or potential cheating. Students who had actually experienced a retake procedure to handle cheating were more satisfied with such a procedure than (...) others were about a hypothetical situation. Despite having a retake, cheaters were significantly more likely than noncheaters to predict that they would cheat again. Results suggest that instructors who require a retake following extensive cheating should devote class time to a discussion of the issue and all possible alternatives. (shrink)
Menstrual Temporality: Cyclic Bodies in a Linear World.Sarah Pawlett Jackson -2024 -Journal of the British Society for Phenomenology 55 (3):237-254.detailsIn this paper I will explore a phenomenology of the menstrual cycle, focusing on the cycle’s rhythm as a form of lived temporality. Drawing on the work of Henri Lefebvre and Thomas Fuchs I will outline a key connection between embodiment and rhythmic temporality more generally, before applying this analysis to the rhythm of the menstrual cycle specifically. I will consider the phenomenology of the experience of cycling through the phases of pre-ovulation, ovulation, pre-menstruation and menstruation as a pattern, or (...) specifically an embodied rhythm that constitutes a form of lived temporality. I will consider a way that the subject may potentially be alienated from this rhythm as a result of a dominant cultural narrative of “linear time”. I will argue further that this dissonance between the menstrual body and the contemporary world tends to be compounded by a lack of “menstrual literacy” in education and culture. (shrink)
GPT-4-Trinis: assessing GPT-4’s communicative competence in the English-speaking majority world.Samantha Jackson,Barend Beekhuizen,Zhao Zhao &Rhonda McEwen -2025 -AI and Society 40 (3):1785-1801.detailsBiases and misunderstanding stemming from pre-training in Generative Pre-Trained Transformers are more likely for users of underrepresented English varieties, since the training dataset favors dominant Englishes (e.g., American English). We investigate (potential) bias in GPT-4 when it interacts with Trinidadian English Creole (TEC), a non-hegemonic English variety that partially overlaps with standardized English (SE) but still contains distinctive characteristics. (1) Comparable responses: we asked GPT-4 18 questions in TEC and SE and compared the content and detail of the responses. (2) (...) Accurate translation: we assessed how accurate and authentic 29 TEC and 34 SE translations were. (3) Language knowledge and attitudes: we asked what language the prompts were written in and categorized the responses and examined any language attitudes that were exhibited. Content and detail in prompts were comparable. The model was proficient at translating TEC pronouns and many grammatical categories. It was weaker at processing spelling and vocabulary items. In addition, it produced several inauthentic features. Only 39% of TEC-generated sentences were fully grammatical. While GPT-4 was perfect at identifying SE, it was 21% accurate at identifying TEC, which it sometimes classified as English with “errors” and “corrected”. GPT-4’s scope of use is limited for non-hegemonic English users. It is problematic that some of its analyses perpetuate bias against underrepresented Englishes. Increased research on lesser-documented Englishes is necessary and we anticipate that this problem affects dialects of other languages. We intend to partner with Trinidadian stakeholders to train GPT-4 in the future. (shrink)
Modeling the invention of a new inference rule: The case of ‘Randomized Clinical Trial’ as an argument scheme for medical science.Jodi Schneider &Sally Jackson -2018 -Argument and Computation 9 (2):77-89.detailsA background assumption of this paper is that the repertoire of inference schemes available to humanity is not fixed, but subject to change as new schemes are invented or refined and as old ones are obsolesced or abandoned. This is particularly visible in areas like health and environmental sciences, where enormous societal investment has been made in finding ways to reach more dependable conclusions. Computational modeling of argumentation, at least for the discourse in expert fields, will require the possibility of (...) modeling change in a stock of schemes that may be applied to generate conclusions from data. We examine Randomized Clinical Trial, an inference scheme established within medical science in the mid-20th Century, and show that its successful defense by means of practical reasoning allowed for its black-boxing as an inference scheme that generates (and warrants belief in) conclusions about the effects of medical treatments. Modeling the use of a scheme is well-understood; here we focus on modeling how the scheme comes to be established so that it is available for use. (shrink)
The descriptive complexity of the set of Poisson generic numbers.Verónica Becher,Stephen Jackson,Dominik Kwietniak &Bill Mance -2025 -Journal of Mathematical Logic 25 (2).detailsLet [Formula: see text] be an integer. We show that the set of real numbers that are Poisson generic in base b is [Formula: see text]-complete in the Borel hierarchy of subsets of the real line. Furthermore, the set of real numbers that are Borel normal in base b and not Poisson generic in base b is complete for the class given by the differences between [Formula: see text] sets. We also show that the effective versions of these results hold (...) in the effective Borel hierarchy. (shrink)
Faking Like a Woman? Towards an Interpretive Theorization of Sexual Pleasure.Stevi Jackson &Sue Scott -2007 -Body and Society 13 (2):95-116.detailsThis article explores the possibility of developing a feminist approach to gendered and sexual embodiment which is rooted in the pragmatist/interactionist tradition derived from G.H. Mead, but which in turn develops this perspective by inflecting it through more recent feminist thinking. In so doing we seek to rebalance some of the rather abstract work on gender and embodiment by focusing on an instance of ‘heterosexual’ everyday/night life – the production of the female orgasm. Through engaging with feminist and interactionist work, (...) we develop an approach to embodied sexual pleasure that emphasizes the sociality of sexual practices and of reflexive sexual selves. We argue that sexual practices and experiences must be understood in social context, taking account of the situatedness of sex as well as wider socio-cultural processes – the production of sexual desire and sexual pleasure (or their non-production) always entails interpretive, interactional processes. (shrink)
Admissible suslin cardinals in l(r).Steve Jackson -1991 -Journal of Symbolic Logic 56 (1):260 - 275.detailsAssuming AD + (V = L(R)), it is shown that for κ an admissible Suslin cardinal, o(κ) (= the order type of the stationary subsets of κ) is "essentially" regular and closed under ultrapowers in a manner to be made precise. In particular, o(κ) ≫ κ +, κ ++ , etc. It is conjectured that this characterizes admissibility for L(R).
Islam and the Promotion of Human Rights.Sherman A. Jackson -2023 -Telos: Critical Theory of the Contemporary 2023 (203):59-77.detailsExcerptIn his insightful book Human Rights as Politics and Idolatry, Michael Ignatieff observes that “[t]he challenge of Islam has been there from the beginning.”1 Ignatieff is not alone among Western observers. And in this context, I would like to begin by stating up front that I am neither an opponent of human rights per se nor among those tradition-bound Muslims—though that I am–who abstain from either endorsing the construct or rejecting it outright, presumably as an exercise of sorts in “passive (...) resistance.” Similarly, I do not believe, as another scholar characterizes the position of revealed religion, that “human rights are a secular usurpation of the rights of God.”2 In fact, as I will show, for well over half a millennium, Muslims have theorized on what could only be considered a concept of human rights, while simultaneously recognizing the “rights of God.” Nor do I believe, contrary to popular perception, that the purportedly “secular” roots of human rights necessarily place them outside the reach of Islam, unless, of course, one assumes, as I do not, that the dominant understanding of “secular” in the West is the only meaning the term can legitimately carry. These are among the reasons why, for me, the idea of summarily rejecting human rights seems so unnecessary if not misguided. (shrink)
Christine Delphy.Stevi Jackson -1996 - Thousand Oaks, CA: Sage Publications.detailsChristine Delphy is a major architect of materialist feminism, a radical feminist perspective which she developed in the context of the French women's movement in the late 1960s and early 1970s. She has always been controversial and continues to make original and challenging contributions to current feminist debates. This informative volume profiles Delphy and discusses topics including her opposition to the idea that femininity and masculinity are natural phenomena. Her insistence that women and men are social categories, defined by the (...) hierarchical relationship between them rather than by biology, typifies the materialist school within French feminism. In this lucid introduction to Delphy's work, Stevi Jackson recounts the events in Delphy's life as a feminist activist and the social and political context of her work. This text is essential reading for anyone with an interest in feminism or cultural history, this is a readable and accessible introduction to a key thinker in the modern women's movement. (shrink)
Designer Biology: The Ethics of Intensively Engineering Biological and Ecological Systems.Immaculada de Melo Martin,Valentina Urbanek,David Frank,William Kabasenche,Nicholas Agar,S. Matthew Liao,Anders Sandberg,Rebecca Roache,Allen Thompson,Stephen Jackson,Donald S. Maier,Nicole Hassoun,Benjamin Hale,Sune Holm &Scott Simmons (eds.) -2013 - Lanham: Lexington Books.detailsDesigner Biology: The Ethics of Intensively Engineering Biological and Ecological Systems consists of thirteen chapters that address the ethical issues raised by technological intervention and design across a broad range of biological and ecological systems. Among the technologies addressed are geoengineering, human enhancement, sex selection, genetic modification, and synthetic biology.
The weak square property.Steve Jackson -2001 -Journal of Symbolic Logic 66 (2):640-657.detailsWe formulate and prove a combinatorial property assuming AD + V = L(R). As a consequence, we show that every regular κ which is either a Suslin cardinal or the successor of a Suslin cardinal is δ 2 1 -supercompact. In particular, all the projective ordinals δ 1 n are δ 2 1 -supercompact.
Menage á trois: Double strand break repair, V(D)J recombination and DNA‐PK.Penny A. Jeggo,Guillermo E. Taccioli &Stephen P. Jackson -1995 -Bioessays 17 (11):949-957.detailsAll organisms possess mechanisms to repair double strand breaks (dsbs) generated in their DNA by damaging agents. Site‐specific dsbs are also introduced during V(D)J recombination. Four complementation groups of radiosensitive rodent mutants are defective in the repair of dsbs, and are unable to carry out V(D)J recombination effectively. The immune defect in Severe Combined Immunodeficient (scid) mice also results from an inability to undergo effective V(D)J recombination, and scid cell lines display a repair defect and belong to one of these (...) complementation groups. These findings indicate a mechanistic overlap between the processes of DNA repair and V(D)J recombination. Recently, two of the genes defined by these complementation groups have been identified and shown to encode components of DNA‐dependent protein kinase (DNA‐PK). We review here the three fields which have become linked by these findings, and discuss the involvement of DNA‐PK in dsb rejoining and in V(D)J recombination. (shrink)
More definable combinatorics around the first and second uncountable cardinals.William Chan,Stephen Jackson &Nam Trang -2023 -Journal of Mathematical Logic 23 (3).detailsAssume [Formula: see text]. If [Formula: see text] is an ordinal and X is a set of ordinals, then [Formula: see text] is the collection of order-preserving functions [Formula: see text] which have uniform cofinality [Formula: see text] and discontinuous everywhere. The weak partition properties on [Formula: see text] and [Formula: see text] yield partition measures on [Formula: see text] when [Formula: see text] and [Formula: see text] when [Formula: see text]. The following almost everywhere continuity properties for functions on (...) partition spaces with respect to these partition measures will be shown. For every [Formula: see text] and function [Formula: see text], there is a club [Formula: see text] and a [Formula: see text] so that for all [Formula: see text], if [Formula: see text] and [Formula: see text], then [Formula: see text]. For every [Formula: see text] and function [Formula: see text], there is an [Formula: see text]-club [Formula: see text] and a [Formula: see text] so that for all [Formula: see text], if [Formula: see text] and [Formula: see text], then [Formula: see text]. The previous two continuity results will be used to distinguish the cardinalities of some important subsets of [Formula: see text]. [Formula: see text]. [Formula: see text]. [Formula: see text]. It will also be shown that [Formula: see text] has the Jónsson property: For every [Formula: see text], there is an [Formula: see text] with [Formula: see text] so that [Formula: see text]. (shrink)
Borel complexity and Ramsey largeness of sets of oracles separating complexity classes.Alex Creiner &Stephen Jackson -2023 -Mathematical Logic Quarterly 69 (3):267-286.detailsWe prove two sets of results concerning computational complexity classes. First, we propose a new variation of the random oracle hypothesis, originally posed by Bennett and Gill after they showed that relative to a randomly chosen oracle, with probability 1. Their original hypothesis was quickly disproven in several ways, most famously in 1992 with the result that, in spite of the classes being shown unequal with probability 1. Here we propose a variation of what it means to be “large” using (...) the Ellentuck topology. In this new context, we demonstrate that the set of oracles separating and is not small, and obtain similar results for the separation of from along with the separation of from. We also show that the set of oracles equating with is large in this new sense. We demonstrate that this version of the hypothesis provides a sufficient condition for unrelativized relationships, at least in the cases considered here. Second, we examine the descriptive complexity of the classes of oracles providing the separations for these various classes, and determine their exact placement in the Borel hierarchy. (shrink)
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Equivalence relations and determinacy.Logan Crone,Lior Fishman &Stephen Jackson -2022 -Journal of Mathematical Logic 22 (1).detailsWe introduce the notion of -determinacy for Γ a pointclass and E an equivalence relation on a Polish space X. A case of particular interest is the case when E = EG is the shift-action o...
Descriptive Complexity in Cantor Series.Dylan Airey,Steve Jackson &Bill Mance -2022 -Journal of Symbolic Logic 87 (3):1023-1045.detailsA Cantor series expansion for a real number x with respect to a basic sequence $Q=(q_1,q_2,\dots )$, where $q_i \geq 2$, is a generalization of the base b expansion to an infinite sequence of bases. Ki and Linton in 1994 showed that for ordinary base b expansions the set of normal numbers is a $\boldsymbol {\Pi }^0_3$ -complete set, establishing the exact complexity of this set. In the case of Cantor series there are three natural notions of normality: normality, ratio (...) normality, and distribution normality. These notions are equivalent for base b expansions, but not for more general Cantor series expansions. We show that for any basic sequence the set of distribution normal numbers is $\boldsymbol {\Pi }^0_3$ -complete, and if Q is $1$ -divergent then the sets of normal and ratio normal numbers are $\boldsymbol {\Pi }^0_3$ -complete. We further show that all five non-trivial differences of these sets are $D_2(\boldsymbol {\Pi }^0_3)$ -complete if $\lim _i q_i=\infty $ and Q is $1$ -divergent. This shows that except for the trivial containment that every normal number is ratio normal, these three notions are as independent as possible. (shrink)
Countable Length Everywhere Club Uniformization.William Chan,Stephen Jackson &Nam Trang -2023 -Journal of Symbolic Logic 88 (4):1556-1572.detailsAssume $\mathsf {ZF} + \mathsf {AD}$ and all sets of reals are Suslin. Let $\Gamma $ be a pointclass closed under $\wedge $, $\vee $, $\forall ^{\mathbb {R}}$, continuous substitution, and has the scale property. Let $\kappa = \delta (\Gamma )$ be the supremum of the length of prewellorderings on $\mathbb {R}$ which belong to $\Delta = \Gamma \cap \check \Gamma $. Let $\mathsf {club}$ denote the collection of club subsets of $\kappa $. Then the countable length everywhere club uniformization (...) holds for $\kappa $ : For every relation $R \subseteq {}^{<{\omega _1}}\kappa \times \mathsf {club}$ with the property that for all $\ell \in {}^{<{\omega _1}}\kappa $ and clubs $C \subseteq D \subseteq \kappa $, $R(\ell,D)$ implies $R(\ell,C)$, there is a uniformization function $\Lambda : \mathrm {dom}(R) \rightarrow \mathsf {club}$ with the property that for all $\ell \in \mathrm {dom}(R)$, $R(\ell,\Lambda (\ell ))$. In particular, under these assumptions, for all $n \in \omega $, $\boldsymbol {\delta }^1_{2n + 1}$ satisfies the countable length everywhere club uniformization. (shrink)
Determinacy of Schmidt’s Game and Other Intersection Games.Logan Crone,Lior Fishman &Stephen Jackson -2023 -Journal of Symbolic Logic 88 (1):1-21.detailsSchmidt’s game and other similar intersection games have played an important role in recent years in applications to number theory, dynamics, and Diophantine approximation theory. These games are real games, that is, games in which the players make moves from a complete separable metric space. The determinacy of these games trivially follows from the axiom of determinacy for real games, $\mathsf {AD}_{\mathbb R}$, which is a much stronger axiom than that asserting all integer games are determined, $\mathsf {AD}$. One of (...) our main results is a general theorem which under the hypothesis $\mathsf {AD}$ implies the determinacy of intersection games which have a property allowing strategies to be simplified. In particular, we show that Schmidt’s $(\alpha,\beta,\rho )$ game on $\mathbb R$ is determined from $\mathsf {AD}$ alone, but on $\mathbb R^n$ for $n \geq 3$ we show that $\mathsf {AD}$ does not imply the determinacy of this game. We then give an application of simple strategies and prove that the winning player in Schmidt’s $(\alpha, \beta, \rho )$ game on $\mathbb {R}$ has a winning positional strategy, without appealing to the axiom of choice. We also prove several other results specifically related to the determinacy of Schmidt’s game. These results highlight the obstacles in obtaining the determinacy of Schmidt’s game from $\mathsf {AD}$. (shrink)
Who Killed WATERS? Mess, Method, and Forensic Explanation in the Making and Unmaking of Large-scale Science Networks.Ayse Buyuktur &Steven J. Jackson -2014 -Science, Technology, and Human Values 39 (2):285-308.detailsScience studies has long been concerned with the theoretical and methodological challenge of mess—the inevitable tendency of technoscientific objects and practices to spill beyond the neat analytic categories we construct for them. Nowhere is this challenge greater than in the messy world of large-scale collaborative science projects, particularly though not exclusively in their start-up phases. This article examines the complicated life and death of the WATERS Network, an ambitious and ultimately abandoned effort at collaborative infrastructure development among hydrologists, engineers, and (...) social scientists studying water. We argue in particular against the “forensic imagination,” a particular style of accounting for failure in the messy world of large-scale network development, and against two common conceptual and empirical pitfalls that it gives rise to: defaults to formalism and defaults to the future. We argue that alternative postforensic approaches to “failures” like the WATERS Network can support forms of learning and accountability better attuned to the complexities of practice and policy in the real world of scientific collaboration and network formation. (shrink)
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In Memoriam.Sally Jackson -2021 -Informal Logic 43 (3):691-693.detailsOur beloved colleague, Charles Arthur Willard, has died at the age of 76. He will be remembered within the argumentation community not only as an influential theorist but also as one of the chief architects of an international and interdisciplinary field devoted to the study of argumentation.
Attentional factors in a disjunctive reasoning task.Richard A. Griggs,Richard D. Platt,Stephen E. Newstead &Sherri L. Jackson -1998 -Thinking and Reasoning 4 (1):1-14.detailsGirotto and Legrenzi's 1993 facilitation effect for their SARS version of Wason s THOG problem a disjunctive reasoning task was examined. The effect was not replicated when the standard THOG problem instructions were used in Experiments 1 and 2. However, in Experiment 3 when Girotto and Legrenzi's precise instructions were used, facilitation was observed. Experiment 4 further investigated the role of the type of instructions in the observed facilitation. The results suggest that such facilitation may result from attentional factors rather (...) than the use of a combinatorial analysis in the problem. (shrink)
Philosophy Imprisoned: The Love of Wisdom in the Age of Mass Incarceration (book chapter).Eric Anthamatten,Anders Benander,Natalie Cisneros,Michael DeWilde,Vincent Greco,Timothy Greenlee,Spoon Jackson,Arlando Jones,Drew Leder,Chris Lenn,John Douglas Macready,Lisa McLeod,William Muth,Cynthia Nielsen,Aislinn O’Donnell &Andre Pierce -2014 - Lexington Books.detailsWestern philosophy’s relationship with prisons stretches from Plato’s own incarceration to the modern era of mass incarceration. Philosophy Imprisoned: The Love of Wisdom in the Age of Mass Incarceration draws together a broad range of philosophical thinkers, from both inside and outside prison walls, in the United States and beyond, who draw on a variety of critical perspectives (including phenomenology, deconstruction, and feminist theory) and historical and contemporary figures in philosophy (including Kant, Hegel, Foucault, and Angela Davis) to think about (...) prisons in this new historical era. All of these contributors have experiences within prison walls: some are or have been incarcerated, some have taught or are teaching in prisons, and all have been students of both philosophy and the carceral system. The powerful testimonials and theoretical arguments are appropriate reading not only for philosophers and prison theorists generally, but also for prison reformers and abolitionists. (shrink)