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A multiplicative ingredient for omega-inconsistency
No full textThis paper presents a distinctively multiplicative quantificational principle that arguably captures the problematic aspects of Zardini's infinitary rules for a multiplicative quantifier within the context of the semantic paradoxes and the theoretical goal to obtain a (omega)-consistent theory of transparent truth. After showing that the principle is derivable with Zardini's rules and that one obtains through vacuous quantification an inconsistent theory of truth if truth is transparent, the paper presents two results regarding the principle and omega-inconsistency. First, the principle is used to obtain a non-classical variant of McGee's omega-inconsistency result for certain classical theories of truth. Second, it is demonstrated that the conditions for a truth-theoretic variant of Bacon's omega-inconsistency result for certain non-classical theories of transparent truth implies that the principle holds for the paradoxical formula. Finally, the paper argues that the paradoxical reasoning that the principle enables is structurally similar to the kind of infinitary reasoning popularised by Hilbert's Grand Hotel
The Curious Case of Bill Sutch’s PhD
Get PDFHow William Ball Sutch, with a reputation as a distinguished economist, achieved his doctorate at Columbia University in a remarkably brief period of time and by researching a New Zealand topic in New York is an intriguing question which the author sets out to investigate.
Suicide and Sensationalism in Colonial New Zealand
Get PDFEmma Meurant’s death in 1890 at the age of 16 put her briefly but sensationally in New Zealand’s national news spotlight. Her suicide was described across New Zealand daily newspapers as an agonising death caused by her taking the poison “Rough on Rats”. Later, Emma’s death was explained by a coroner as influenced by her reading with sensational literature, which, he and a jury determined, had put her in a state of temporary insanity. They arrived at this finding after hearing the testimony of community and family members two days after Emma’s death. Sensationalism therefore reigned not only in the report of her death, but also in how it was explained – and, one might read, how that conclusion was drawn.
This article examines the context of Emma Meurant’s death and its historical setting, to develop understanding of how sensationalism was understood, explained and acted out in late nineteenth century New Zealand through the coroner’s inquest and newspapers. It explores the record of interactions amongst those who were involved in the event of this death, and how they appeared to fashion their own positions in relation to their social standing, their connection with Emma, and their own perspectives on sensationalism.
 
‘Just another way of wriggling off the hook’? Exploring the construction of identity in Pākehā memoirs
Get PDFThis article examines four memoirs that explore Pākehā identity: Peter Wells, Dear Oliver: Uncovering a Pākehā history (2018), Alison Jones, This Pākehā Life: An unsettled memoir (2020), Richard Shaw’s The Forgotten Coast (2021) and John Bluck’s Becoming Pākehā (2022). Each writer engages with history – and their predecessor Michael King – to contextualise their personal stories, work through their discomfort at being part of the dominant group, and participate in creating a more just national discourse. However, their centering of histories of individuals simultaneously engages with and disavows the racialised power structures rooted in the past that still shape the present
A ‘Wanton Piece of Business’? Lieutenant-Colonel Foveaux, Lieutenant Finucane and the Massacre of Te Pahi’s Te Puna People
Get PDFThis article identifies a substantial intervention of British force into New Zealand affairs in the early nineteenth century, led by senior imperial officials. This intervention resulted in a massacre of scores of people in the Bay of Islands.[i] The two officials in question – recently in the government of New South Wales – were Lieutenant-Colonel Joseph Furneaux, and Lieutenant James Finucane. In what is shown to be a conspiracy, the moral and legal responsibility for the massacre was covered up from the Imperial Centre by a range of actors up to and including the Governor of New South Wales, Lachlan Macquarie.
The Australian Massacre Map project defines massacre as “the indiscriminate killing of six or more undefended people in one operation” (https://humanities.org.au/power-of-the-humanities/the-australian-wars-new-insights-from-a-digital-map/, downloaded 20/08/2024). Many recent New Zealand historians have avoided use of the word in the context of the Boyd deaths. However, it is a meaningful functional description of a certain form of group killing and it is consequently used here. The Boyd massacre was indiscriminate in that (1) numerous defenceless people were killed who bore no active responsibility for the act which apparently triggered the massacre and (2) the killings were disproportionate to the triggering event
Preferred Regulatory Settings: A Case Study of the TAB NZ
Get PDFIn Aotearoa New Zealand, the government actively supports gambling through a preferential regulatory environment that facilitates ongoing, and increased, gambling operations. This article questions why preferential regulatory treatment exists for an activity that generates social harm. The article focuses on the Totalisator Agency Board New Zealand (TAB NZ) and the racing industry. TAB NZ has more regulatory concessions than the gambling sector in general, including through the tax system and self-regulation. There is an absence of transparency about both this support and the underlying assumption that increasing gambling to support the broader racing sector is desirable.
 
Grid: The Life and Times of First World War Fighter Ace Keith Caldwell.
Get PDFCombat in the air brought a rare splash of colour to the Western Front in the First World War. In what otherwise seems to be an anonymous conflict of mass armies and grinding attrition, individual pilots emerged from the mass of khaki and field grey. The names of the most famous of them – the German Manfred von Richthofen, the Canadian William Avery Bishop, and the Englishman Albert Ball, among others – continue to resonate to the present day
Secret History: State Surveillance in New Zealand, 1900–1956.
Get PDFThe historiography of state surveillance of citizens in New Zealand is meagre by comparison with that of Australia and Great Britain. This is partly a function of relative size but also a consequence of far greater restrictions on access to sources in New Zealand. The historiography of state surveillance in New Zealand before 1956 has been impoverished, until now. With the publication of Richard Hill and Steven Loveridge’s Secret History, that part of the equation has been rectified, despite the difficulties they encountered along the way. In the first of a projected two-volume study, they place New Zealand on the map of global state surveillance historiography
Reflections on Brady's Logic of Meaning Containment
Get PDFAbstract: This paper is a series of reflections on Ross Brady’s favourite substructural logic, the logic MC of meaning containment. In the first section, I describe some of the distinctive features of MC, including depth relevance, and its principled rejection of some concepts that have been found useful in many substructural logics, namely intensional or multiplicative conjunction (sometimes known as ‘fusion’), the Church constants (⊤ and ⊥), and the Ackermann constants (t and f). A further distinctive feature of the axiomatic formulation of MC is its meta-rule, which is a unique feature of MC Hilbert proofs. This meta-rule gives rise to one further special property of MC, in that the logic is distributive in one sense, and non-distributive in another. The distribution of additive conjunction over disjunction (the step from p∧(q∨r) to (p∧q)∨(p∧r)) holds in MC as a rule, but not as a provable conditional, and in this way, MC is distinctive among popular substructural logics. (Anderson and Belnap’s favourite logics R and E are distributive in both senses, while Girard’s linear logic is distributive in neither.)
In this paper, I aim to enhance our understanding of each of these distinctive features of MC, giving an account of what it might take for a propositional logic to meet these constraints. I will start with a presentation of Hilbert proofs for MC, and then showing how Brady Lattices (a natural class of algebraic models for MC) can help us understand each of these special features of Brady’s logic of meaning containment
A 2 Set-up Ternary Relational Semantics for the Companions to Brady’s 4-valued logic BN4
Get PDFThe present paper is inspired by Ross T. Brady’s work on semantics for many-valued logics which also belong to the family of relevance. In particular, we aim to enhance his methodology for (meta)completeness results with respect to a 2 set-up ternary relational semantics. In 1982, Brady developed the 4-valued logic BN4 and endowed it with such semantics, providing both strong soundness and completeness theorems. In the recent literature, six new 4-valued logics have been defined as companions to the system BN4 and endowed with a bivalent Belnap-Dunn type semantics. The aim of this paper is to deepen the knowledge of these new companions to BN4 by providing a 2 set-up ternary relational semantics, thus following the same strategies Brady applied to BN4 in (Brady, 1982)
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