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A Note on R-Mingle and the Danger of Safety
Get PDFDunn has recently argued that the logic R-Mingle (or RM) is a good, and good enough, choice for many purposes in relevant and paraconsistent logic. This includes an argument that the validity of Safety principle, according to which one may infer an arbitrary instance of the law of excluded middle from an arbitrary contradiction, in RM is not a problem because it doesn’t allow one to infer anything new from a contradiction. In this paper, I argue that while Dunn’s claim holds for the logic, there is a good reason to think that it’s not the case for (prime) theories closed under the logic, and that this should give relevantists, and some paraconsistentists, pause when considering whether RM is adequate for their purposes
Takeuti's Well-ordering Proof: An Accessible Recontruction
Get PDFG. Genzten’s 1938 proof of the consistency of pure arithmetic was hailed as a success for finitism and constructivism, but his proof requires induction along ordinal notations in Cantor normal form up to the first epsilon number, ε0. This left the task of giving a finitisically acceptable proof of the well-ordering of those ordinal notations, without which Gentzen’s proof could hardly be seen as a success for finitism. In his seminal book Proof Theory G. Takeuti provides such a proof. After a brief philosophical introduction, we provide a reconstruction of Takeuti’s proof including corrections, comments, re-organization and notational adjustments for the sake of clarity. The result is a much longer, but much more tractable proof of the well-ordering of ordinal notations in Cantor normal form less than ε0, that nevertheless follows Takeuti’s strategy closely. We end with some more general comments about that proof strategy and the notion of accessibility more generally
Editor's Introduction: Special Issue - Colin McCahon: Life and Afterlife.
No full textThis special issue has its origins in a symposium held at Monash University in February 2020 in honour of the centenary of the birth of Colin McCahon (1919–1987). Six of its nine articles are revised versions of papers from the symposium. Three others, by Leonard Bell, Anna Parlane and Matariki Williams, are invited contributions
Francophobia in the Antipodes: France’s Grab for the New Hebrides and the Dreyfus Affair in New Zealand Newspapers
Get PDFThis article explores the Francophobia which characterised the coverage in late nineteenth-century New Zealand newspapers of, firstly, France’s attempt to annex the New Hebrides and, secondly, the Dreyfus Affair. The intensity of the Francophobia suggests a French influence in the shaping of New Zealand’s national identity and further illuminates the dual national identity (British and New Zealand) pertaining in New Zealand at the time. The New Hebrides incident provides an example of how this double allegiance played out
Boole's indefinite symbols re-examined
Get PDFWe show how one can give a clear formal account of Boole’s notorious “indefinite" (or “auxiliary”) symbols by treating them as variables that range over functions from classes to classes rather than just over classes while, at the same time, following Hailperin’s proposal of binding them existentially
Utility, Futility, Counter-utility
Get PDFReview of Neil Vallelly, Futilitarianism: Neoliberalism and the Production of Uselessness. Futility as both dominant structure of feeling and fulcrum for political action in the twilight of neoliberalism
Reform of the Rules for the Rising Seas
Get PDFNew Zealand's existing law and policy is not adequate to provide for appropriate adaptation to the effects of climate change. There have been widespread calls for law reform, particularly to the laws affecting local government decision-making on the adoption of climate adaptation mechanisms, such as the Resource Management Act 1991 (RMA). The author is one researcher who has identified the need for law reform in this area, focusing on the (in)ability of the RMA to deal with the adaptation necessary to handle the expected effects of sea-level rise. In July 2020 an independent Resource Management Review Panel (the Randerson panel) recommended replacing the current Resource Management Act with a completely new resource management system and suite of laws. One of the topics addressed in the Panel's 531-page report is law reform for climate adaptation. The Panel recommended the adoption of a separate Climate Adaptation and Managed Retreat Act to enable better decision-making processes and results. The government has adopted the Panel's recommendations and is in the process of drafting legislation to implement them. This article addresses how well the proposed reforms address the specific needs for reform identified in the author's prior work on this topic
Has the Trusts Act 2019 Abrogated the Court's Inherent Jurisdiction to Order Disclosure of Reasons for Trustees' Decisions to a Beneficiary?
Get PDFPrior to the Trusts Act 2019 (the Act), a court was able to exercise its inherent jurisdiction and order that certain trust information be made available to a beneficiary to uphold the trustees' common law "duty to account" to beneficiaries. However, in exercising that inherent jurisdiction, the court would consider a number of factors, including whether the information contained reasons for trustees' decisions. A beneficiary was not normally entitled to such information at common law. However, a court was able to make an order for disclosure of reasons for trustees' decisions where this was justified. The Trustee Act 1956 was silent on the "duty to account" and on any corresponding obligations for trustees to provide trust information to beneficiaries. The Act creates a significant shift from the pre-Act regime in that it sets out the obligations on trustees to provide trust information to beneficiaries. Interestingly, the Act expressly excludes "reasons for trustees' decisions" from the definition of "trust information". As such, trustees' obligations under the Act do not apply to that information. This raises the question whether the Act abrogates the pre-Act inherent jurisdiction of the court to order disclosure of trustees' reasons for their decisions. This article considers the scope of the court's inherent jurisdiction where a matter is regulated by statute and analyses the Act to answer this question
Shrinking the state 2.0: commentary on Ken Warren’s ‘A new model of collaboration’ and related IGPS working paper
Get PDFThis commentary is a response to two papers by Ken Warren: his article in this issue of Policy Quarterly (Warren, 2022) and the longer, more detailed IGPS working paper on which it is based (Warren, 2021).
Stripped of the distracting clutter of business school jargon, both papers read to me as a rearguard action in defence of the rapidly unravelling public sector ‘reforms’ that were promoted and driven through in the late 1980s, starting with the New Zealand Treasury’s 1987 briefing document Government Management, and embodied in the State Sector Act 1988
The Night the People Reclaimed You
Get PDFA poem addressed to the Wellington Trades Hall building, the site of the conference party and much else
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