In this article, we consider the presence of what appear to be true contradictions in the Talmud. We consider and reject a glut-theoretic response. We argue these apparently contradictory Talmudic passages should be understood not as ordinary propositions, but as being given under an operator. This allows us to understand these rulings as genuinely conflicting, but not genuinely contradictory. We illustrate the broad shape of such a view through consideration of Hans Kelsen's late-period philosophy of law. We also consider and reject responses to this issue given by Rashi, R. Kook, and R. Feinstein. We close by considering why a system of Jewish law which allows for jointly affirmed conflicting propositions is desirable. We claim that if, as Maimonides suggests, the fundamental project of Jewish law is the eradication of idolatry, then the law itself should remind us that God's ways are higher than our ways. One way of doing so is to resist capture by a transparent set of principles, by allowing for conflicting rulings to be affirmed. This article does not presuppose familiarity with the Talmudic corpus or Jewish tradition.

This paper describes how to compute algorithmically certain twisted signature invariants of a knot $K$ using twisted Blanchfield forms. An illustration of the algorithm is implemented on $(2,q)$-torus knots. Additionally, using satellite formulas for these invariants, we also show how to obstruct the sliceness of certain iterated torus knots.

We introduce and study Dirichlet-type spaces $\mathcal D(\mu _1, \mu _2)$ of the unit bidisc $\mathbb D^2,$ where $\mu _1, \mu _2$ are finite positive Borel measures on the unit circle. We show that the coordinate functions $z_1$ and $z_2$ are multipliers for $\mathcal D(\mu _1, \mu _2)$ and the complex polynomials are dense in $\mathcal D(\mu _1, \mu _2).$ Further, we obtain the division property and solve Gleason’s problem for $\mathcal D(\mu _1, \mu _2)$ over a bidisc centered at the origin. In particular, we show that the commuting pair $\mathscr M_z$ of the multiplication operators $\mathscr M_{z_1}, \mathscr M_{z_2}$ on $\mathcal D(\mu _1, \mu _2)$ defines a cyclic toral $2$-isometry and $\mathscr M^*_z$ belongs to the Cowen–Douglas class $\mathbf {B}_1(\mathbb D^2_r)$ for some $r>0.$ Moreover, we formulate a notion of wandering subspace for commuting tuples and use it to obtain a bidisc analog of Richter’s representation theorem for cyclic analytic $2$-isometries. In particular, we show that a cyclic analytic toral $2$-isometric pair T with cyclic vector $f_0$ is unitarily equivalent to $\mathscr M_z$ on $\mathcal D(\mu _1, \mu _2)$ for some $\mu _1,\mu _2$ if and only if $\ker T^*,$ spanned by $f_0,$ is a wandering subspace for $T.$

According to moderatism, perceptual justification requires that one independently takes for granted propositional hinges. This view faces the truth problem: to offer an account of truth for hinges that is not threatened by skepticism. Annalisa Coliva has tried to solve the truth problem by developing a new form of alethic pluralism. I argue that the resulting view cannot offer a coherent characterization of “skeptical switch scenarios” while providing an effective anti-skeptical strategy. In a more positive vein, I defend an approach that combines a correspondence conception of truth with epistemological disjunctivism.

This essay studies the formation of a political language of rajabhakti or monarchical loyalty in the Odia-language print sphere in the second half of the nineteenth century. This language revolved around the key terms of Providence, market rationalism, and character. The article traces the provincial careers of these crucial Victorian terms and explores their entanglement with local histories and discourses in the colony. It shows how the language of monarchical loyalty enabled provincial Victorians to construct and inhabit their everyday lifeworlds in the empire.

Parental warmth during the transition from childhood to adolescence is a key protective factor against a host of adolescent problems, including substance use, maladjustment, and diminished well-being. Moreover, adolescents and parents often disagree in their perceptions of parenting quality, and these discrepancies may confer risk for problem outcomes. The current study applies latent profile analysis to a sample of 687 mother–father–6th grade adolescent triads to identify patterns of adolescent–parent convergence and divergence in perceptions of parental warmth. Five profiles were identified, and associations with adolescent positive well-being, substance use, and maladjustment outcomes in 9th grade were assessed. Patterns of divergence in which adolescents had a pronounced negative perception of parental warmth compared to parents, as well as those wherein pronounced divergence was present in only one adolescent–parent dyad, were associated with diminished positive well-being compared to adolescents who had more positive perceptions of warmth than parents. Having more negative perceptions of warmth compared to parents was also associated with elevated risk for alcohol and marijuana initiation, but only when the divergence was pronounced rather than more moderate. These findings add nuance to findings from previous between-family investigations of informant discrepancies, calling for further family-centered methods for investigating multiple perspectives.

Using establishment-level data, we show that COVID-19 vaccinations boost business activity and firm performance in the United States. A 10-percent increase in vaccination rates results in a 4-percent to 6-percent increase in customer visits. We document the channels through which vaccinations increase store visits and the limits to the effect of vaccines on business activity. At the firm level, vaccinations increase sales and earnings, impact expansion decisions, and decrease probability of default, but the benefits vary across businesses. Vaccinations create private economic benefits to firms, shareholders, and employees, in addition to their intended public health benefits.

It has been proposed that there are cognitive biases in language learning that favour certain patterns over others. This study examines the effects of such bias factors on the learning of the phonology of proper nouns. I take up the phenomenon of compound voicing in Japanese surnames. The results of two judgment experiments show that, while Japanese speakers replicate various kinds of statistical regularities in existing names, they tend to extend only phonologically motivated patterns to novel names. This suggests that phonological naturalness plays a role even in the learning of a highly faithful category of words, namely proper nouns, and provides evidence for the relevance of learning biases in synchronic grammar.