I’m so grateful to the commentators for their insightful and constructive responses! Below I continue this exchange with a brief note of reply.

A partir de los conceptos de modo y sistema cerámico, analizamos el rango de variación estilística en las cerámicas de El Tintal, Guatemala, como indicadores de conexiones sociales, económicas y políticas a nivel regional. Nuestro estudio muestra que la población de El Tintal participó en sistemas cerámicos con una distribución geográfica extensa durante los períodos preclásico medio y tardío, clásico temprano y clásico tardío. Durante los períodos preclásico terminal y clásico terminal, sin embargo, El Tintal participó en sistemas de afiliación con cobertura espacial limitada, aunque entre estos circulan conjuntos de cerámicas particulares a larga distancia. Con base en los resultados del estudio proponemos aquí algunas explicaciones a estos patrones en términos de dinámicas de interacción sociocultural y económicas.

What is the role of intimacy in sex? The two culturally dominant views on this matter both share the implicit assumption that sex is genuinely intimate only when connected to romance, and hence that sex and intimacy stand in a contingent relationship: it is possible to have good sex without it. Liberals embrace this possibility and affirm the value of casual sex, while conservatives attempt to safeguard intimacy by insisting on romantic exclusivity. I reject their shared assumption and argue for a necessary connection between intimacy and sex, in that sexual activity as such aims at a specific form of intimacy, irrespective of whether it takes place in casual encounters or romantic relationships, and the difference between good and bad sex consists in whether this end is attained. To defend this view, I develop a general account of intimacy and apply it to isolate its specifically sexual form.

Observations of radiocarbon (14C) in Earth’s atmosphere and other carbon reservoirs are important to quantify exchanges of CO2 between reservoirs. The amount of 14C is commonly reported in the so-called Delta notation, i.e., Δ14C, the decay- and fractionation-corrected departure of the ratio of 14C to total C from that ratio in an absolute international standard; this Delta notation permits direct comparison of 14C/C ratios in the several reservoirs. However, as Δ14C of atmospheric CO2, Δ14CO2 is based on the ratio of 14CO2 to total atmospheric CO2, its value can and does change not just because of change in the amount of atmospheric14CO2 but also because of change in the amount of total atmospheric CO2, complicating ascription of change in Δ14CO2 to change in one or the other quantity. Here we suggest that presentation of atmospheric 14CO2 amount as mole fraction relative to dry air (moles of 14CO2 per moles of dry air in Earth’s atmosphere), or as moles or molecules of 14CO2 in Earth’s atmosphere, all readily calculated from Δ14CO2 and the amount of atmospheric CO2 (with slight dependence on δ13CO2), complements presentation only as Δ14CO2, and can provide valuable insight into the evolving budget and distribution of atmospheric 14CO2.

We consider the problem of minimizing the $L^\infty$ norm of a function of the hessian over a class of maps, subject to a mass constraint involving the $L^\infty$ norm of a function of the gradient and the map itself. We assume zeroth and first order Dirichlet boundary data, corresponding to the “hinged” and the “clamped” cases. By employing the method of $L^p$ approximations, we establish the existence of a special $L^\infty$ minimizer, which solves a divergence PDE system with measure coefficients as parameters. This is a counterpart of the Aronsson-Euler system corresponding to this constrained variational problem. Furthermore, we establish upper and lower bounds for the eigenvalue.

We investigate an optimal stopping problem for the expected value of a discounted payoff on a regime-switching geometric Brownian motion under two constraints on the possible stopping times: only at exogenous random times, and only during a specific regime. The main objectives are to show that an optimal stopping time exists as a threshold type and to derive expressions for the value functions and the optimal threshold. To this end, we solve the corresponding variational inequality and show that its solution coincides with the value functions. Some numerical results are also introduced. Furthermore, we investigate some asymptotic behaviors.

Jc Beall's Divine Contradiction proposes a bold response to the so-called ‘logical’ problems of the Trinity: we should admit without embarrassment that divine reality is flat-out contradictory. Beall defends his proposal against a wide range of objections and contends that it enjoys various philosophical and theological virtues, including the virtues of metaphysical and epistemological neutrality. While I agree that ceteris paribus these are desirable, I question whether the possession of these virtues really gives Beall's approach any advantage over its competitors when the chips are finally counted.

As in many areas of pre-Reformation devotion, the dead were a conspicuous presence in English religious guilds of all sizes. Members joined in the expectation that the guild would say prayers and perform masses for their souls after death, and previous members and benefactors would be commemorated with regularity. This article, however, investigates a new avenue of the fraternal relationship with the dead: the practice of enrolling people after their death. Doing so shifts the paradigm of our understanding of the multidimensional functions of pre-Reformation society, commemoration, and guilds, privileging the experiences of both the dead and living equally, while highlighting the interplay of the spiritual and socioeconomic. Taking the extensive membership records of England's “great” guilds as its basis, this article reveals that postmortem enrollment was a practice both common and widespread, and it addresses questions of practicalities and motivations. As such, the richness of commemoration in late medieval society is demonstrated, and the importance of postmortem membership brought to the fore.

I explore the promise of Beall's proposal for a long-standing challenge for traditional theology. I first offer a sketch of the problem and a brief overview of some of the more common responses to it. I then show how Beall's proposal holds initial promise; following this I highlight some concerns and raise some questions.

We report the case of a 9-year-old male with severe congenital pulmonary valve stenosis referred to our centre for percutaneous valvotomy. On admission, trans-thoracic echocardiogram confirmed a unicuspid pulmonary valve with a peak/mean pulmonary valve gradient of 91/53 mmHg and a pulmonary annulus of 13.8 mm (−0.8 Z Score). It also showed an enlarged RV (RV/LV ratio 0,9). During cardiac catheterisation, an additional atrial septal defect (secundum) with significant left to right shunt (Qp/Qs > 2) was diagnosed, which was not amenable to percutaneous closure. The patient was referred for surgical repair.

The atrial septal defect was closed by a direct running suture. The repair of the unicuspid valve consisted in bicuspidisation by a large commissurotomy to the left anterior wall of the pulmonary artery. The neo-commissure was created with two separate patches of autologous pericardium secured to the wall of the pulmonary root. The adjustment of the effective height of the pulmonary valve leaflets was done by trimming the patches and a triangular plication of the newly created posterior leaflet. Perioperative echocardiogram showed a peak gradient of 15 mm Hg and trivial pulmonary regurgitation. The total cross-clamp time was 92 min and the bypass time 123 min with a favourable evolution after the surgery.

The particularity of the case is represented by the complexity of the bicuspidisation procedure. Using this technique, a tailored approach is needed for every patient.

In April 2014, Boko Haram kidnapped almost three hundred girls attending school in Chibok, Nigeria. The #BringBackOurGirls campaign emerged as a global activist movement in the aftermath of that kidnapping. Onah’s article analyzes the global mediascapes of the campaign to show the mnemonic affordances of the Chibok girls’ kidnapping and the intermedial dynamics that coalesced to make it a global memory phenomenon. By foregrounding the transhistorical and intermedial connections at the core of the #BringBackOurGirls campaign, it consolidates the understanding of remediation in memory studies. Consequently, Onah proposes new ways to understand African memorial traditions and testimonial practices in an increasingly hyperconnected world.

This article examines the role of digital technology in enabling and enhancing democratic practices and forms of governance. It contributes to emerging debates on democratic innovations by proposing a novel theoretical account of decentralized participatory democracy. To develop our account, we draw on the experience of two EU-funded projects, D-CENT and DECODE, which produced innovative citizen participation platforms and digital public infrastructure. Bringing democratic theory into conversation with critical data studies and the new municipalism movement, we theorize how these projects advanced three political aims: organizing political communities to build collective power, empowering citizens through direct participation in decision making, and transforming political institutions. The article then analyzes the strengths and limitations of these projects to draw lessons for policy makers and practitioners for future digital democratic experiments.

Real human agents, even when they are rational by everyday standards, sometimes assign different credences to objectively equivalent statements, such as ‘Orwell is a writer’ and ‘E.A. Blair is a writer’, or credences less than 1 to necessarily true statements, such as not-yet-proven theorems of arithmetic. Anna Mahtani calls this the phenomenon of ‘opacity’. Opaque credences seem probabilistically incoherent, which goes against a key modelling assumption of probability theory. I sketch a modelling strategy for capturing opaque credence assignments without abandoning probabilistic coherence. I draw on ideas from judgement-aggregation theory, where we face similar challenges of defining the ‘objects of judgement’.

Stalnaker’s ‘Assertion’ (1978 [1999]) offers a classic account of diagonalization as an approach to the meaning of a declarative sentence in context. Here I explore the relationship between diagonalization and some puzzles in Mahtani’s book The Objects of Credence. Diagonalization can influence how we think about both credence and desirability, so it influences both components of a standard expected utility equation. In that vein, I touch on two of Mahtani’s case-studies, chance and the finite version of the Two Envelope Paradox.