It is often argued that the indispensability of continuum models comes from their empirical adequacy despite their decoupling from the microscopic details of the modelled physical system. There is thus a commonly held misconception that temperature varying across a region of space or time can always be accurately represented as a continuous function. We discuss three inter-related cases of temperature modelling — in phase transitions, thermal boundary resistance and slip flows — and show that the continuum view is fallacious on (...) the ground that the microscopic details of a physical system are not necessarily decoupled from continuum models. We show how temperature discontinuities are present in both data (experiments and simulations) and phenomena (theory and models) and how discontinuum models of temperature variation may have greater empirical adequacy and explanatory power. The conclusions of our paper are: a) continuum idealisations are not indispensable to modelling physical phenomena and both continuous and discontinuous representations of phenomena work depending on the context; b) temperature is not necessarily a continuously defined function in our best scientific representations of the world; and c) that its continuity, where applicable, is a contingent matter. We also raise a question as to whether discontinuous representations should be considered truly de-idealised descriptions of physical phenomena. (shrink)

There is a major debate as to whether there are non-causal mathematical explanations of physical facts that show how the facts under question arise from a degree of mathematical necessity considered stronger than that of contingent causal laws. We focus on Marc Lange’s account of distinctively mathematical explanations to argue that purported mathematical explanations are essentially causal explanations in disguise and are no different from ordinary applications of mathematics. This is because these explanations work not by appealing to what the (...) world must be like as a matter of mathematical necessity but by appealing to various contingent causal facts. (shrink)

So-called ‘distinctively mathematical explanations’ (DMEs) are said to explain physical phenomena, not in terms of contingent causal laws, but rather in terms of mathematical necessities that constrain the physical system in question. Lange argues that the existence of four or more equilibrium positions of any double pendulum has a DME. Here we refute both Lange’s claim itself and a strengthened and extended version of the claim that would pertain to any n-tuple pendulum system on the ground that such explanations are (...) actually causal explanations in disguise and their associated modal conditionals are not general enough to explain the said features of such dynamical systems. We argue and show that if circumscribing the antecedent for a necessarily true conditional in such explanations involves making a causal analysis of the problem, then the resulting explanation is not distinctively mathematical or non-causal. Our argument generalises to other dynamical systems that may have purported DMEs analogous to the one proposed by Lange, and even to some other counterfactual accounts of non-causal explanation given by Reutlinger and Rice. (shrink)

In the last decade Open Science principles, such as Open Access, study preregistration, use of preprints, making available data and code, and open peer review, have been successfully advocated for and are being slowly adopted in many different research communities. In response to the COVID-19 pandemic many publishers and researchers have sped up their adoption of some of these Open Science practices, sometimes embracing them fully and sometimes partially or in a sub-optimal manner. In this article, we express concerns about (...) the violation of some of the Open Science principles and its potential impact on the quality of research output. We provide evidence of the misuses of these principles at different stages of the scientific process. We call for a wider adoption of Open Science practices in the hope that this work will encourage a broader endorsement of Open Science principles and serve as a reminder that science should always be a rigorous process, reliable and transparent, especially in the context of a pandemic where research findings are being translated into practice even more rapidly. (shrink)

In the present work I am interested in addressing a specific aspect within the conceptual problem that poena naturalis implies. In other words, here I will answer the question about what is the poena naturalis. We can be recognized three theories: one that affirms that the poena naturalis is a compensation for culpability, another according to which the poena naturalis is the product of clemency or compassion, and the last that defends that the principles of legality, proportionality and rationality allow (...) justifying the poena naturalis. I will stop at each one of them in order to carry out a critical examination that will allow me to conclude which is the conception that best supports natural punishment. (shrink)

Writing to the young emperor Nero, Seneca elaborates a sophisticated distinction between compassion and mercy for use in forensic contexts, agreeing with earlier Stoics that compassion is a vice, but adding that there is a virtue called mercy or 'clemency.' This Stoic repudiation of compassion has won the attention of Nussbaum, who argues that it was motivated by a respect for persons as dignified agents, and was of a piece with the Stoics' cosmopolitanism. This chapter engages Nussbaum's presentation of the (...) Stoics, examining Seneca’s On Clemency and Epictetus' use of the term prohairesis, showing that while there is some truth in her characterization, it needs to be qualified in important ways. It also analyzes Augustine's engagement with Seneca's On Clemency in the City of God 9.5, and in his letters concerning punishment for vandalism, theft, and human trafficking. It argues that Augustine has a nuanced mercy ethic that is deeply informed by Seneca's position, but that he intentionally improves upon it. (shrink)

There seems to be confusion and disagreement among scholars about the meaning of interpersonal forgiveness. In this essay we shall venture to clarify the meaning of forgiveness by examining various literary works. In particular, we shall discuss instances of forgiveness from Homer’s The Iliad, Euripides’ Hippolytus, and Aristotle’s Nicomachean Ethics and we shall focus on the changes that the concept of forgiveness has gone through throughout the centuries, in the hope of being able to understand, and therefore, of being able (...) to use more accurately, contemporary notions of forgiveness. We shall also explore the relationship between forgiveness and concepts that are closely associated with it, such as anger/resentment, hurt, clemency, desert/merit, excuse, etc. (shrink)