This chapter moves from the macro-level of social and narrative imagination to the micro-level of speaking and seeing. It continues to consider the interplay of inheritance and originality in these practices: the constitutive underdetermination or equivocity of what we see and say. The chapter illuminates the ways in which even at the smallest levels, we construct the world imaginatively. It then begins to discuss how art and poetry loosen the grasp of automated perception and do not impose an alternative vision but rather grant a double vision of our lives, allowing us to see it from new perspectives or in new ways. The chapter concludes with a consideration of liturgical and biblical renewals of perception.

Chapter Four focuses on US compliance with international law. The perception of former officials was that US compliance with international law was robust. When asked about the reasons that the United States complies or does not comply with international law, the former officials’ responses tracked many of the factors they listed for states in general. The chapter then explores the interplay between law and policy, exploring how policymakers balance these competing concerns. Former officials were clear that while international law was generally followed, it was not always dispositive. Legal issues were considered as one factor among a variety of factors, essentially involving a cost–benefit analysis. The salient considerations driving compliance or noncompliance, as revealed in the interviews, appeared to be the nature of the national interest or policy at stake; the nature and significance of the international legal rule involved ethical considerations; the views of allies; the ambiguity or precision of the legal obligation; and the weight of domestic political and bureaucratic concerns. The chapter next examines factors that may affect policymaker perceptions, including party affiliation, and concludes with a description of instances where the United States either bent international law or complied scrupulously.

Experience is the cornerstone of Epicurean philosophy and nowhere is this more apparent than in the Epicurean views about the nature, formation, and application of concepts. ‘The Epicureans on Preconceptions and Other Concepts’ by Gábor Betegh and Voula Tsouna aims to piece together the approach to concepts suggested by Epicurus and his early associates, trace its historical development over a period of approximately five centuries, compare it with competing views, and highlight the philosophical value of the Epicurean account on that subject. It is not clear whether, properly speaking, the Epicureans can be claimed to have a theory about concepts. However, an in-depth discussion of the relevant questions will show that the Epicureans advance a coherent if elliptical explanation of the nature and formation of concepts and of their epistemological and ethical role. Also, the chapter establishes that, although the core of the Epicurean account remains fundamentally unaffected, there are shifts of emphasis and new developments marking the passage from one generation of Epicureans to another and from one era to the next.

Lesley Brown’s chapter ‘Do Forms Play the Role of Concepts in Late Plato?’ starts by noting a major issue of controversy concerning the Forms in the Middle Dialogues, namely whether Forms are explanatory properties whose role is to account for why things are the way they are and are therefore the objects of philosophical inquiry and knowledge, or whether Forms are concepts whose role is to explain everyday thinking and discourse. On the assumption that the former option best captures the role of Forms in Plato’s so-called Middle Dialogues, Brown addresses the question whether Plato’s later dialogues manifest a shift in emphasis such that the latter interpretation gains greater prominence. In her view, even though Plato’s later dialogues show increasing interest in matters of language and meaning, and hence may perhaps be taken to show a somewhat greater interest in the role Forms or Kinds play in our everyday thinking and discourse, nonetheless the prominence of the method of division in these works underscores that the Forms are primarily properties discoverable by philosophical inquiry, not everyday concepts or meanings.

Reconstructing a $d$-polytope from its $k$-skeleton ($k\le d-2$) amounts to determining the face lattice of the polytope from the dimension and skeleton. For each $d\ge 4$, there are $d$-polytopes that have isomorphic $(d-3)$-skeleta and yet are not combinatorially isomorphic. But every $d$-polytope is reconstructible from its $(d-2)$-skeleton. Section 5.2 focusses on reconstructions from 2-skeletons and 1-skeletons. It presents an algorithm that reconstructs a $d$-polytope with at most $d-2$ nonsimple vertices from its dimension and 2-skeleton. This result is tight: there are pairs of nonisomorphic $d$-polytopes with $d-1$ nonsimple vertices and isomorphic $(d-3)$-skeleta for each $d\ge 4$.Blind and Mani-Levitska (1987), and later Kalai (1988), showed that a simple polytope can be reconstructed from its dimension and graph. We present a slight generalisation of this result and briefly discuss the theorem of Friedman (2009) stating that the reconstruction can be done in time polynomial in the number of vertices. The chapter ends with variations on the reconstruction problem.

In Constitutional Identity, Gary Jacobsohn highlights the tension both within constitutional systems and between constitutions and societal norms (culture). In this essay, we explore the first tension and glance at the second. One objective of the essay is to enumerate a set of “disharmonies” that appear with some frequency within constitutions and, employing historical data, identify the constitutional systems that contain them. Appealing to formal logic, we develop a taxonomy that helps us understand the kinds of disharmonies on display; a taxonomy that points to their sources. The essay thus generalizes Jacobsohn’s notion of disharmony and extends his insights from a small set of cases that begin with the letter “I” to a larger set.

This chapter explores the ways that the concept of a “disharmonic constitution” provides a useful analytic lens for the comparative study of constitution making in religiously divided societies. We consider constitutional design strategies that enable and allow for disharmonies – including choices to include ambiguity and even contradiction within a constitutional text, as well as to defer certain questions for incremental resolution through ordinary politics rather than textual entrenchment. These strategies demonstrate the utility and even centrality of dissonances in interpreting the “unfinished symphony” that is constitutional identity. In the chapter, we explore these themes by considering constitutional design in the Turkish and Israeli cases. We highlight the ways in which the concept of “disharmonic constitutionalism” and the significance of dissonance in constitutional design point towards a toolkit of options for religiously divided societies that seek to draft constitutions that manage rather than resolve underlying tensions over questions of constitutional identity. We share with Jacobsohn an appreciation for constitutionalism as an expression of contingent and local identities, negotiated across historical processes of contestation and meaning-making with more of an evolutionary than a revolutionary character, even in countries that may undergo moments of sharp political rupture, reversal or transformation.

Historical linguists investigate those contexts that are considered to be most relevant to language change, given the theoretical approach adopted and the phenomena to be investigated. The topic of this chapter is usage-based perspectives on language-internal change, especially as conceptualized in the frameworks of research on grammaticalization, semantic-pragmatic change, and diachronic construction grammar. Contexts may be immediate, local “co-texts” or wider linguistic discourse contexts. Contexts tend to be wide and discursive as change begins to occur and local after it has occurred. I discuss the roles in enabling change of ambiguity, of pragmatic inferencing, and of “assemblies of discursive uses” such as have been proposed in work on constructionalization. With respect to contexts for “actualization,” the step-by-step language-internal spread (or loss) of a change that has occurred, focus is on host-class expansion and on the often analogy-driven changes across contexts, especially as revealed in corpus work.

This essay approaches David Tracy’s theme of conversation (‘which animates … the whole posture and method of Tracy’s career’) primarily as social and civil practice. Tracy’s Plurality and Ambiguity (1987) is brought into conversation with present-day cultural critic Sherry Turkle regarding how digitalised communications magnify the ‘interruptions’ of plurality and ambiguity that Tracy suggested mark all conversation. Some early critics suggested that Plurality and Ambiguity: (1) insufficiently considered the ambiguities of one’s interlocutors in conversation; and (2) ignored imperatives for some participants to resist powerful others’ framings of the rational task. Here, our digital situation can help highlight how deep down plurality and ambiguity stretch within any given conversation; as well as how socially fragile and crucial this phenomenon of conversation is. The world of deliberately designed digital platforms highlights how there is always some particular design to ‘the table’ at which conversation participants convene. Theology must learn the necessity of building a culture of genuine theological conversation by means of deliberate and detailed design decisions.

Chapter 14 opens by asking readers to produce several nouns to label an unusual object and then to describe their demonstration’s main activity in several ways. The chapter describes research with K-12 science classes showing learning boosts when concepts are taught before new terms for the concepts and that students are more interested when such terms are minimized. Jargon is the ultimate in new information, so spotting it is a critical first step toward clearer and more effective demonstrations. Strategies for jargon spotting are exemplified: words with Latin or Greek etymology (e.g., "pharyngeal"), acronyms (e.g., "SVO" for subject-verb-object), ambiguous words with both general and specialized meanings (e.g., "stress"). Many experts new to public engagement find it hard to avoid jargon. A demonstration on syntactic ambiguity shows that it can even be done with esoteric or abstract topics. Thus, while jargon is one of the tools of science, incomplete is not incorrect. The Worked Example discusses an online text editor’s markup of a draft sentence. This chapter’s Closing Worksheet asks readers to aim such an editor to the written support for their demonstration.