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    Alien Intruders in Relevant Arithmetic

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    This paper explores the model theory of relevant arithmetic, emphasizing the structure of nonstandard natural numbers in the relevant arithmetic R#. In particular, the authors prove the “Alien Intruder Theorem” guaranteeing the existence of a model of R# including the rational numbers in which each rational acts as a nonstandard natural number. The authors conclude by considering some consequences of and open questions about the construction used in the theorem. &nbsp

    Arithmetic Formulated in a Logic of Meaning Containment

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    We assess Meyer’s formalization of arithmetic in his [21], based on the strong relevant logic R and compare this with arithmetic based on a suitable logic of meaning containment, which was developed in Brady [7]. We argue in favour of the latter as it better captures the key logical concepts of meaning and truth in arithmetic. We also contrast the two approaches to classical recapture, again favouring our approach in [7]. We then consider our previous development of Peano arithmetic including primitive recursive functions, finally extending this work to that of general recursion

    Hybrid Deduction-Refutation Systems for FDE-Based Logics

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    Hybrid deduction-refuation systems are presented for four first-degree entailment based logics. The hybrid systems are shown to be deductively and refutationally sound with respect to their logics. The proofs of completeness are presented in a uniform way. The paper builds on work by Goranko, who presented a deductively and refutationally sound and complete hybrid system for classical logic

    Australian Directors' Duties: What Does It Mean to Say They are Public Duties?

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    This article pursues the meaning and effect of what are (in Australia, at least )long-standing public duties of directors. It argues that there has been and continues to be, a slow evolution from an exclusively private character, to a hybrid public and private content in Australian directors’ duties. That duties may be both public and private, does not deny the truth of either of those characters. Instead, using the statutory duty of care in s 180(1) of the Corporations Act, this article analyses the juristic features and public elements that animate the duty and its enforcement sanctions. The cardinal legal and practical question of to whom the public directors’ duties are owed, both to no one in particular and to all the world, rather than only to the company, is also considered

    Rethinking Public Law in a Time of Democratic Decline

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    The thirteen separate segments of this article are designed to explore the consequences for New Zealand public law of the global decline of democracy in many parts of the world, although not in New Zealand. The trend towards autocracy is evident in many countries and has been increasing. There was a time when democracy was thought to be inevitable, but that time has passed. Since New Zealand is a small and open society, democratic rot and decline could set in, as it has in other democracies. In order to combat these tendencies, it is necessary to think about the implications of these developments for teaching public law and for the need to bolster education in citizenship, so people can better understand the advantages of democracy, participate in it and feel a commitment to it. Many New Zealanders not born here may not understand the culture, may not have English as their first language and may be discouraged from engagement. New Zealand is increasingly diverse.The article explores the recent history of the United States and to a lesser extent, the United Kingdom, to discern the tendencies at work in those democracies. Returning to the fundamental elements of public law, it is suggested that the analysis begins with the nature and character of the state, followed by international law. Then it is argued it is necessary in the New Zealand context to examine the situation of Māori, Te Tiriti o Waitangi, the activities of the settler governments and the remaining consequences of colonisation. There appears at this time to be an opportunity to more significantly recognise indigenous Māori culture. From there, an examination of some important principles of political philosophy is provided. This leads to a summary of the main types of government that are available for any state. Then are set out the main political ideologies that often impel political actors. The changes in democratic practice that have resulted from the digital revolution are then examined with the effects upon political parties and how they have changed New Zealand. The manner in which public opinion can be manipulated and the need to become literate in politics and political practice is emphasised. The article concludes with a discussion of public law as an autonomous discipline and a final conclusion about what all this means for New Zealand. In the mind of the author, after a long career in public law and politics, these separate elements combine into a message about the need for democratic refurbishment and future vigilance in New Zealand

    Medical Device Regulation and the Proposed Therapeutic Products Bill: Devising a New Regime

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    Despite medical devices being integral to modern healthcare, New Zealand's regulation of them is decidedly limited, with repeated attempts at reform having been unsuccessful. With the Government now indicating that new therapeutic products legislation may be introduced before the end of the year, the article considers the case for change, including to promote patient safety, before analysing the draft Therapeutic Products Bill previously proposed by the Ministry of Health, and on which any new legislation is expected to be based. It concludes that, while the proposed Bill is a step in the right direction, introducing regulatory oversight where there is currently next to none, there is still significant work to be done. In particular, it identifies a need to clarify whether the regime is indeed to be principles-based and identifies further principles which might be considered for inclusion. It further proposes regulation of cosmetic products which operate similarly to medical devices to promote safety objectives, while finding a need for further analysis around the extent to which New Zealand approval processes should rely on overseas regulators. Finally, it argues that, in an area with such major repercussions for people's health, difficult decisions around how to develop a framework which balances safety with speed to market should not be left almost entirely to an as yet unknown regulator but, rather, more guidance from Parliament is needed

    Introducing Volume 4

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    Welcome to Volume 4 of Commoning Ethnography

    Kungfu as a Vehicle for Multimodal Intercultural Communication A Chinese-New Zealand Case Study: Ant Sang’s Shaolin Burning (2011) Preliminary Observations

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    I would argue that in the Chinese-New Zealand case study I am discussing in this article – Ant Sang’s Shaolin Burning (2011) – Kungfu corresponds to a collection of Martial Arts techniques that are similar to the traditional/old-style Kungfu novels. For Example, Sifu, Deadly Plum Blossom’s (the heroin) Kungfu master, once introduced her understanding of Kungfu in Shaolin Burning (2011): “The most important principle to remember is to protect your centreline. This protects your eyes, neck and all your vital organs... It forces your opponent to attack in a circular path, which is an indirect path, and therefore slower […] Control the centreline and you control the fight. Not only do you use the centreline for defence, use it also for attack. My punch is unorthodox. It is deceptively short and direct, but when performed correctly has devastating power.” (SB 51-54) Those are typical guidelines for Martial Arts techniques

    Keywords: Militarism

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    Using the biennial Rim of the Pacific (RIMPAC) maritime exercises as an example, this keywords entry explores the concept of militarism and seeks to understand ideologies of justified violence in relation to the structure of settler colonialism and the logics of white supremacy. Using three brief reflections from RIMPAC 2020, I examine how militarism sustains, and is sustained by, racial hierarchies and colonial power. I also draw links to the Covid-19 global crisis and the Black Lives Matter movement, demonstrating how the impacts of militarism, like a disease, extend far beyond what are usually identified as militaries, infecting all aspects of society

    Discussion Session 3 – Food systems impact

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