The idea that knowledge can be extended by inference from what is known seems highly plausible. Yet, as shown by familiar preface paradox and lottery-type cases, the possibility of aggregating uncertainty casts doubt on its tenability. We show that these considerations go much further than previously recognized and significantly restrict the kinds of closure ordinary theories of knowledge can endorse. Meeting the challenge of uncertainty aggregation requires either the restriction of knowledge-extending inferences to single premises, or eliminating epistemic uncertainty in (...) known premises. The first strategy, while effective, retains little of the original idea—conclusions even of modus ponens inferences from known premises are not always known. We then look at the second strategy, inspecting the most elaborate and promising attempt to secure the epistemic role of basic inferences, namely Timothy Williamson’s safety theory of knowledge. We argue that while it indeed has the merit of allowing basic inferences such as modus ponens to extend knowledge, Williamson’s theory faces formidable difficulties. These difficulties, moreover, arise from the very feature responsible for its virtue- the infallibilism of knowledge. (shrink)

According to the thesis of transparency, subjects can attend only to the representational content of perceptual experience, never to the intrinsic properties of experience that carry this representational content, i.e., to “mental paint.” So far, arguments for and against transparency were conducted from the armchair, relying mainly on introspective observations. In this paper, we argue in favor of transparency, relying on the cognitive neuroscience of attention. We present a trilemma to those who hold that attention can be directed to mental (...) paint. Such attention is either first-order sensory, higher-order cognitive, or higher-order sensory attention. We argue that the notion of first-order sensory attention to mental paint is incompatible with the neuroscience of sensory attention; that higher-order cognitive attention to mental paint is irrelevant to transparency; and that the notion of higher-order sensory attention to mental paint has an apparently incoherent prediction. Via elimination, these considerations support the thesis of transparency. (shrink)

The history of productivity of the κ-chain condition in partial orders, topological spaces, or Boolean algebras is surveyed, and its connection to the set-theoretic notion of a weakly compact cardinal is highlighted. Then, it is proved that for every regular cardinal κ > א1, the principle □ is equivalent to the existence of a certain strong coloring c : [κ]2 → κ for which the family of fibers T is a nonspecial κ-Aronszajn tree. The theorem follows from an analysis of (...) a new characteristic function for walks on ordinals, and implies in particular that if the κ-chain condition is productive for a given regular cardinal κ > א1, then κ is weakly compact in some inner model of ZFC. This provides a partial converse to the fact that if κ is a weakly compact cardinal, then the κ-chain condition is productive. (shrink)

Harman and Lewis credit Kripke with having formulated a puzzle that seems to show that knowledge entails dogmatism. The puzzle is widely regarded as having been solved. In this paper we argue that this standard solution, in its various versions, addresses only a limited aspect of the puzzle and holds no promise of fully resolving it. Analyzing this failure and the proper rendering of the puzzle, it is suggested that it poses a significant challenge for the defense of epistemic closure.

Jewish business ethics in Israel addresses two major sources of economic immorality—unbounded desire and fear of economic uncertainty—through enforcement and spiritual education. Business is seen as a path to sanctity, when time is set apart for religious study, wealth is seen as originating from God, the vulnerable are protected against fraud and theft, charity is seen as an obligation, and mercy towards debtors is tempered by justice.

Perception can’t have disjunctive content. Whereas you can think that a box is blue or red, you can’t see a box as being blue or red. Based on this fact, I develop a new problem for the ambitious predictive processing theory, on which the brain is a machine for minimizing prediction error, which approximately implements Bayesian inference. I describe a simple case of updating a disjunctive belief given perceptual experience of one of the disjuncts, in which Bayesian inference and predictive (...) coding pull in opposite directions, with the former implying that one’s confidence in the belief should increase, and the latter implying that it should decrease. Thus, predictive coding fails to approximately implement Bayesian inference across the interface between belief and perception. (shrink)

The progressive dissemination of artificial intelligence (AI) systems in work settings raises numerous questions and concerns regarding their consequences, whether positive or negative, on work activities and organizations. This paper presents an empirical study that was designed to identify and analyze these consequences in radiology. This study focuses on two AI systems: a voice recognition dictation system for radiological reports and a system for detecting fractures on X-rays images. Based on a qualitative analysis of field observations of work activities and (...) interviews with radiologists, emergency physicians, and medical secretaries, our findings help to provide a nuanced view on how AI may affect work in this sector. In contrast to the speculative discourse where AI is seen as a “positive” technology or as “threat” for workers, this study shows, on the one hand, how these kinds of AI systems help or may help these workers in their activities, and, on the other hand, how these systems raise problematic issues regarding their consequences not only for physicians but also for other workers such as medical assistants. (shrink)

According to an influential philosophical view I call “the relational properties view”, “perspectival” properties, such as the elliptical appearance of a tilted coin, are relational properties of external objects. Philosophers have assessed this view on the basis of phenomenological, epistemological or other purely philosophical considerations. My aim in this paper is to examine whether it is possible to evaluate RPV empirically. In the first, negative part of the paper I consider and reject a certain tempting way of doing so. In (...) the second, positive part of the paper I suggest a novel way of evaluating RPV empirically, relying on the influential object files framework. (shrink)

This paper proposes and develops the feelings of goals hypothesis (FGH). It has two aims: first, to describe the evolutionary function of emotional feelings (EFs), and second, to describe the content and the format of EFs. According to FGH, the evolutionary function of EFs is to enable motoric flexibility. Specifically, EFs are a component of a psychological mechanism that permits differential motoric reactions to the same stimulus. Further, according to FGH, EF is a special type of mental representation with the (...) content of an action goal, and with a non-motoric, non-conceptual format. This paper thoroughly clarifies the assumptions underlying FGH and discusses its theoretical implications and empirical predictions. (shrink)

Let λ denote a singular cardinal. Zeman, improving a previous result of Shelah, proved that $\square _{\lambda}^{\ast}$ together with 2 λ = λ⁺ implies $\lozenge _{S}$ for every S ⊆ λ⁺ that reflects stationarily often. In this paper, for a set S ⊆ λ⁺, a normal subideal of the weak approachability ideal is introduced, and denoted by I[S; λ]. We say that the ideal is fat if it contains a stationary set. It is proved: 1. if I[S; λ] is fat, (...) then $\text{NS}_{\lambda ^{+}}$ ↾ S is non-saturated; 2. if I[S; λ] is fat and 2 λ = λ⁺, then $\lozenge _{S}$ holds; 3. $\square _{\lambda}^{\ast}$ implies that I[S; λ] is fat for every S ⊆ λ⁺ that reflects stationarily often; 4. it is relatively consistent with the existence of a supercompact cardinal that $\square _{\lambda}^{\ast}$ fails, while I[S; λ] is fat for every stationary S ⊆ λ⁺ that reflects stationarily often. The stronger principle $\lozenge _{\lambda ^{+}}^{\ast}$ is studied as well. (shrink)

The paper argues that knowledge is not closed under logical inference. The argument proceeds from the openness of evidential support and the dependence of empirical knowledge on evidence, to the conclusion that knowledge is open. Without attempting to provide a full-fledged theory of evidence, we show that on the modest assumption that evidence cannot support both a proposition and its negation, or, alternatively, that information that reduces the probability of a proposition cannot constitute evidence for its truth, the relation of (...) evidential support is not closed under known entailment. Therefore the evidence-for relation is deductively open regardless of whether evidence is probabilistic or not. Given even a weak dependence of empirical knowledge on evidence, we argue that empirical knowledge is also open. On this basis, we also respond to the strongest argument in support of knowledge closure. Finally, we present a number of significant benefits of our position, namely, offering a unified explanation for a range of epistemological puzzles. (shrink)

This interview focuses on the history and current developments of cultural studies in Japan. Shunya Yoshimi is one of the leading figures in cultural studies in Japan since its introduction in the mid-1990s. He is currently engaged in the task of developing cultural studies in Asia with younger generations of scholars and to this end has helped established a new type of cultural movement, Cultural Typhoon, as well as contributing to expand Asian cultural studies networks, such as Inter Asia Cultural (...) Studies. He argues that cultural studies has been questioning the relationship between meaning and power in everyday life through a variety of concrete and practical fields. In fact, he argues, it is inevitable for cultural studies to ask questions about the politics, if we in cultural studies are to develop actual knowledge of cultural production and consumption today. Hence, it is essential to investigate the micro-politics of bodies in relation to macro-political processes. In the case of Japan, working on cultural studies within an existing discipline also means engaging in experiments, which ultimately could have the potential to undermine existing disciplines from within. (shrink)

The Fukushima catastrophe has led to important practical and conceptual shifts in contemporary Japanese architecture which in turn has led to a re-evaluation of the influential 1960s Japanese modern architecture movement, Metabolism. The Metabolists had the ambition to create a new Japanese society through techno-utopian city planning. The new generation of Japanese architects, after the Fukushima event, no longer seek evolutionally social change; rather, the disaster has made them re-consider what architecture is and what architects can do for people who (...) had everything snatched from them by technology (nuclear power station) and nature (earthquake and tsunami). Drawing on the architectural projects of Tange Kenzo and Metabolists in the 1960s and Ito Toyo’s ‘Home-for-All project’ in 2011, the paper explores this major paradigm shift in Japanese architectural theory and practices. (shrink)

We construct a strongly minimal set which is not a finite cover of one with DMP. We also show that for a strongly minimal theory T, generic automorphisms exist iff T has DMP, thus proving a conjecture of Kikyo and Pillay.

In these pages we seek to integrate two claims. First, we argue that, taken to their logical conclusions, the considerations that support a strict form of protection for tangible property rights do not call for a similar form of protection when applied to the case of copyright. More dramatically, these considerations demand, on pain of glaring inconsistency, a substantially weaker protection for copyright. In pursuing this claim, we show that the form of protecting property rights is, to an important extent, (...) a feature of certain normal, though contingent, facts about the human world. Second, the normative question concerning the selection of a desirable protection for creative works is most naturally pursued from a tort law perspective, in part because the normative structure of copyright law simply is that of tort law. (shrink)

It takes courage to characterize feminist writings on tort law as "thin." Indeed, Professor Schwartz in his provocative and challenging article examines feminist writings in a unique and innovative way. In his analysis of a number of such writings, he attempts to demonstrate that they either have not done enough or could have done better. His provocative analysis of many issues invites vigorous discussion. One could write a separate comment on each and every one of the issues he raises; however, (...) I will limit my comment to two: the tension between the "reasonable man" and the "reasonable woman" standard and the duty to rescue rule. It takes courage to characterize feminist writings on tort law as "thin." Indeed, Professor Schwartz in his provocative and challenging article examines feminist writings in a unique and innovative way. In his analysis of a number of such writings, he attempts to demonstrate that they either have not done enough or could have done better. His provocative analysis of many issues invites vigorous discussion. One could write a separate comment on each and every one of the issues he raises; however, I will limit my comment to two: the tension between the "reasonable man" and the "reasonable woman" standard and the duty to rescue rule. (shrink)

Tax law is a technical area of law which does not seem to be culturally specific. It is thus seen as easily transferable between different societies and cultures. However, tax law is also based on definitions and notions which are not universal. So, is tax law universal or particular? Is it indeed easily transferable between different societies? And in what ways does tax law reflect ethnic or cultural rather than economic differences? This Article seeks to answer these questions by analyzing (...) one specific example — the history of income tax legislation in Mandatory Palestine. This history reveals the dual nature of income taxation. On the one hand, the Income Tax Ordinance which was enacted by the British in Palestine in 1941 was based on a one-size-fits-all colonial model, and the lawyers involved in its enactment, in Palestine and in the Colonial Office in London, made relatively little effort to adapt it to local conditions. On the other hand, other actors — the officials, politicians and businessmen involved in the initial debate about the imposition of income taxation in Palestine in the 1930s, and the administrators involved in the application of the specific rules of the Ordinance after it was enacted in the 1940s — were aware of the need to adapt the law to the specific conditions of Palestine. Thus, while on a formal level the Ordinance seems to represent a process in which the tax law of Palestine converged with that of other British colonies, once we expand our framework and examine not just law in the books, but also law in action, and actors such as politicians and administrators, we discover that particular local conditions were an important factor in the enactment and application of the Palestine Income Tax Ordinance. The study of the process of transplantation, the Article concludes, should therefore focus not only on the formal norms being transplanted, but also on the role of the different non-legal actors involved in the process. (shrink)

Body & Society started in 1995. The journal has been continuously exploring and problematizing critical issues which have been opening up new horizons in the field of body studies. As an interdisciplinary journal, it has engaged with a wider range of innovative approaches to the body, which includes sociology, cultural studies, psychology, philosophy, anthropology, history, science and technology studies, sensory studies and media studies. To celebrate the 25th anniversary of Body & Society, managing editor Tomoko Tamari invited Professor Bryan (...) S Turner, who was one of the journal’s founders (with Mike Featherstone), to reflect on the academic and historical background of Body & Society along with his own academic trajectory over the last 40 years. (shrink)

The interview is a follow-up from Samantha Frost’s article, ‘The Attentive Body’, in Body & Society 26. Tomoko Tamari invites Frost to explore her interest in ‘biocultural creatures’, with its focus on ‘bodies’ responsive self-transformation’ in epigenetic processes, and unfolds Peirce’s account of the index for understanding meaning-making in biological processes. Tamari also introduces Katherine Hayles’s notion of ‘cognitive nonconscious’ to raise the question of the possible theoretical and mechanical similarities/discrepancies between epigenetic processes in organisms and the meaning-making (...) process in computational systems. Drawing on Jacob von Uexkull’s notion of ‘umwelt’ and introducing Yoshimi Kawade’s remarks on a living being’s subjective orientation in environments, a further question about ‘intention’ and ‘subjectivity’ enables Frost to further unpack her notion of ‘the attentive self’ and discuss its relation to ‘intentionality’ and ‘referentiality’ in epigenetic processes. Finally, Samantha Frost mentions her current projects on the connection between ‘attention-as-responsive-self-transformation’ and ‘mode-of-living-as-form-of-life’. (shrink)

According to the influential thesis of attentional transparency, in having or reflecting on an ordinary visual experience, we can attend only outwards, to qualities the experience represents, never to intrinsic qualities of the experience itself, i.e., to “mental paint.” According to the competing view, attentional semitransparency, although we usually attend outwards, to qualities the experience represents, we can also attend inwards, to mental paint. So far, philosophers have debated this topic in strictly armchair means, especially phenomenological reflection. My aim in (...) this paper is to show how to design an experiment, using the change detection paradigm for studying visual working memory that, if yielding positive results, would support AS. The structure of the argument is as follows. In standard change detection tasks, which involve attention to qualities the experience represents, there exists a known object integration effect (Luck and Vogel in Nature 390(6657):279–281, 1997). I formulate a hypothesis I call “the turn-off hypothesis,” according to which this effect does not exist in change detection tasks where subjects are instructed to attend to mental paint. I argue that, given AS, we have some reason to expect the turn-off hypothesis to be true, but given AT, we do not. Consequently, the truth of the turn-off hypothesis would support AS. I further argue that one can straightforwardly test the turn-off hypothesis, taking the standard change detection paradigm and instructing participants to attend inwards. (shrink)

Timothy Williamson has famously argued that the principle should be rejected. We analyze Williamson's argument and show that its key premise is ambiguous, and that when it is properly stated this premise no longer supports the argument against. After canvassing possible objections to our argument, we reflect upon some conclusions that suggest significant epistemological ramifications pertaining to the acquisition of knowledge from prior knowledge by deduction.

This piece focuses on the work of Juhani Pallasmaa who introduces phenomenological aspects of kinesthetic and multisensory perception of the human body into architecture theory. He argues that hand-drawing is a vital spatial and haptic exercise in facilitating architectural design. Through this process, architecture can emerge as the very ‘material’ existence of human embodied ‘immaterial’ emotion, feelings and wisdom. Hence, for Pallasmaa, architecture can be seen as an artistic practice, which entails multisensory and embodied thought in order to establish the (...) sense of being in the world. (shrink)

There are few indulgences academics can crave more than to have their work considered and addressed by leading researchers in their field. We have been fortunate to have two outstanding philosophers from whose work we have learned a great deal give ours their thoughtful attention. Grappling with Stephen Yablo’s, and Juan Comesaña’s comments and criticisms has helped us gain a better understanding of our ideas as well as their shortcomings. We are extremely grateful to them for the attentiveness and seriousness (...) with which they have considered our arguments and to philosophical studies for giving us this opportunity. Given the substantive difference between the two response papers, there is not much beyond sincere gratitude that we can covey to them jointly. We will therefore address them in turn. (shrink)

The success of the London 2012 Paralympic Games not only revealed new public possibilities for the disabled, but also thrust the debates on the relationship between elite Paralympians and advanced prosthetic technology into the spotlight. One of the Paralympic stars, Oscar Pistorius, in particular became celebrated as ‘the Paralympian cyborg’. Also prominent has been Aimee Mullins, a former Paralympian, who became a globally successful fashion model by seeking to establish a new bodily aesthetic utilizing non-organic body parts. This article examines (...) how the modern discourse of prostheses has shifted from the made-up and camouflaged body to the empowered and exhibited body to create a new cultural sensitivity in terms of body image – prosthetic aesthetics. Prosthetic aesthetics oscillates between two polarized sensitivities: attractiveness/‘coolness’, which derive from the image of a perfect human-machine synthetic body, and from abjection/the uncanny, which is evoked by the actual materiality of the lived body incorporating a lifeless human-made body part. (shrink)

We investigate the geometry of forking for SU-rank 2 elements in supersimple ω-categorical theories and prove stable forking and some structural properties for such elements. We extend this analysis to the case of SU-rank 3 elements.

This Article tells the story of two legal cooperation projects established by the Israeli Ministry of Justice in the 1950s and 1960s. The Article argues that the history of these projects can suggest a new way of understanding the process of legal transplantation. Much of the literature on legal transplants focuses on the legal norms transplanted. This Article seeks to shift the focus of the debate from a discussion of the legal norms transplanted to a discussion of the social acts (...) involved in the process of transplantation. The Article argues that while transplantation may be motivated by practical considerations, such as the desire to obtain foreign norms which are deemed superior to local law, it is sometimes also a process of signaling. The two legal cooperation projects discussed in the Article, it is argued, were, to a certain extent, signaling devices used to communicate to Israel’s potential allies the fact that Israel was part of the civilized world, and thus a partner worthy of its cooperation, and also the fact that Israel was a state stable and strong enough to survive in the hostile environment into which it was born. (shrink)

Recent histories of American jurisprudence tend to ignore the fact that ideas that appeared in the United States often appeared simultaneously in Europe. Even those works that do not ignore the European context are content with tracing the influence or reception of European thought in America. This article suggests that another possible approach is to compare jurisprudential developments in the United States, Europe, and other places in order to reach more general, sociology-of-knowledge-like insights into the reasons why certain ideas appear (...) at certain times and places. One concrete example is discussed: the rise of an interest in the distinction between formal and "living" law in American and European jurisprudence in the first decade of the twentieth century. This distinction was central to the work of Roscoe Pound in the United States and the work of the Austro-Hungarian legal thinker Eugen Ehrlich. Pound and Ehrlich shared similar personal backgrounds. When they began advocating the study of informal law, both Pound and Ehrlich were teaching law in provincial towns situated on the frontiers of empires. Both towns were marginal places where different cultures clashed and where the legal culture of the center of the empire had only a tenuous hold. Scholars working in such an environment, it is argued, would tend to be more aware of the gap between formal state law and the actual norms governing the daily lives of people than scholars working at the center of an empire. The article offers additional support for this argument by looking at the scholarship of Guido Tedeschi, an Italian-Israeli legal scholar who taught at the Hebrew University of Jerusalem in the 1940s. The article concludes by calling for the study of the history of American jurisprudence from a comparative perspective, taking into account such issues as the interaction between center and periphery and between empire and provinces in more than one national context. (shrink)

The narrative cycle that adorns the central nave in the Basilica di S. Piero a Grado in Pisa (ca. 1302) comprises various episodes from the lives of Sts Peter and Paul drawn from biblical and apocryphal sources and local legend and fashioned after the portico frescos in Old St. Peter’s Basilica in Rome. While previous studies have engaged mainly with the chronology and circumstances of the edifice's construction, the iconography and political implication of the frescos, which are a unique compilation (...) of the narrative, have gone unnoticed. By analyzing the cycle from within the medieval notion of icon and image making, this article proposes that the painted narrative evokes a theological argument concerning the sacredness of the image and the power it possesses. It demonstrates that the fragmented narratives chosen for the murals are organized in three thematic groups, revealing the process by which the saints’ real, corporeal bodies become transformed into icons. Functioning as a visualized theology that advocates the cult of images, the cycle allows the faithful viewer to identify the saints, compare the various stages of their metamorphosis from body to icon, and, finally, witness, reveal, and affirm their status as a true icon. (shrink)

This essay argues that Merleau-Ponty’s concept of nature as a “privileged expression” of ontology provides the conceptual support for a more responsible attitude toward humans and nature. Furthermore, this concept of nature needs to be viewed in the light of a more profound concept that opens a new vision of the human being’s place in the world, namely Merleau-Ponty’s fields of perception. Shiva’s writings pertaining to the environment gain a more profound, yet critical, understanding when viewed in this way. Similarly, (...) Merleau-Ponty’s attempts “to reconcile the old world and the new” (MP 1964, 4) through implementation of his phenomenology to political and ethical questions is reviewed anew. (shrink)

Although Japan had its own distinctive ‘pre-history’ of cultural studies, which produced some excellent research on popular culture, which can be traced back to the 1920s, the current state of cultural studies has been criticized by conventional mainstream academics; whereas the younger generation has been attracted by cultural studies as a new academic trend. An important new development in cultural studies in Japan is Cultural Typhoon. This new movement seeks to avoid institutionalization and create an alternative academic public sphere alongside (...) broadened cultural practices, social activities and political interventions. Cultural studies in Japan can be seen as a part of a new diversity in cultural studies, which has some potentialities to move beyond the academy and open new dialogical spaces for communication and cultural intervention. (shrink)

European Journal of Philosophy, EarlyView.

This article examines whether a functionalist approach to emotion classification is a research program that can feasibly be implemented in an experimental environment. I suggest that this is a promise perhaps impossible to keep. The crux of the argument is that if functional taxonomy is to go the full distance and shape experimental conditions to the new boundaries, then stimuli/experimental manipulations must be selected based on functional principles. But this seems implausible or even impossible. I conclude that emotion taxonomy, and (...) thus the metastructure of emotion theory, is both constrained and determined by human emotional feelings, and suggest that feelings have a special epistemological status in emotion research. (shrink)

Following the Body & Society special issue, Skin Matters: Thinking Through the Body’s Surfaces (vol. 24, 1–2), Tomoko Tamari conducted an interview with the special issue editor, Marc Lafrance. He argues for the skin as an interface, which both resists and reinforces binary oppositions. Lafrance is particularly interested in the relationship between the skin and subjectivity, focusing on those who are suffering from traumatic stigmatizing experiences. This theme is also elaborated in the debates around the issue of human-made skin (...) in ‘regenerative medicine’. He argues that while the development of medical technology for human-made organic skin tends often to be welcomed, the actual experience of face-transfer patients following skin graft surgeries is one of physical and psychological hardship along with a complex sense of self-wholeness and ‘reflexive embodiment’. Reflexivity is also an important phenomenon encouraged by the media and social media, which constantly feature representations of the skin. (shrink)

We study the behaviour of stable types in rosy theories. The main technical result is that a non-þ-forking extension of an unstable type is unstable. We apply this to show that a rosy group with a þ-generic stable type is stable. In the context of super-rosy theories of finite rank we conclude that non-trivial stable types of U þ -rank 1 must arise from definable stable sets.

The ethical issues involved in bankruptcy affect the debtor, the creditor and the society in which they operate. Facing the debtor is his responsibility to pay back the loans and credit extended to him while the creditor has to decide whether or not to press his legal rights, irrespective of the consequences to the debtor. Society will have to determine to what extent, if any, it is prepared or obligated to fund the rehabilitation of the debtor and those employees, whose (...) employment is terminated as a result of the bankruptcy. These issues will be determined according to the value structure of the particular souly in which debtor and creditor operate. This paper views the issues in a Jewish perspective. Debtors are considered to always be liable for their debts and there is a moral shame attached to bankruptcy, except in those cases where it is caused by natural disasters. While creditors are taught and encouraged to voluntarily waive their rights, this is considered charity with all its negative overtones. The courts are obligated to review the debtors assets and sell them, if necessary, to meet the creditors loans, leaving only basic necessities for minimal living of the debtor and his family. Society however, including the creditor, a part of the group, are obligated to fund the rehabilitation of the debtor either through its interest-free loan, charity or the provision of alternative employment. These may be funded out of communal taxes. (shrink)

May the same graph admit two different chromatic numbers in two different universes? How about infinitely many different values? and can this be achieved without changing the cardinals structure? In this paper, it is proved that in Gödel’s constructible universe, for every uncountable cardinal $$\mu$$ below the first fixed-point of the $$\aleph$$ -function, there exists a graph $$\mathcal G_\mu$$ satisfying the following.

It is relatively consistent with the existence of two supercompact cardinals that a special Aronszajn tree of height ${\aleph_{\omega_1+1}}$ is introduced by a cofinality-preserving forcing of size ${\aleph_3}$.

Generalising Hrushovski's fusion technique we construct the free fusion of two strongly minimal theories T₁, T₂ intersecting in a totally categorical sub-theory T₀. We show that if, e.g., T₀ is the theory of infinite vector spaces over a finite field then the fusion theory Tω exists, is complete and ω-stable of rank ω. We give a detailed geometrical analysis of Tω, proving that if both T₁, T₂ are 1-based then, Tω can be collapsed into a strongly minimal theory, if some (...) additional technical conditions hold—all trivially satisfied if T₀ is the theory of infinite vector spaces over a finite field Fq. (shrink)