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Parity, Relevance, and Gentle Explosiveness in the Context of Sylvan's Mate Function
Get PDFThe Routley star, an involutive function between possible worlds or set-ups against which negation is evaluated, is a hallmark feature of Richard Sylvan and Val Plumwood's set-up semantics for the logic of first-degree entailment. Less frequently acknowledged is the weaker mate function described by Sylvan and his collaborators, which results from stripping the requirement of involutivity from the Routley star. Between the mate function and the Routley star, however, lies an broad field of intermediate semantical conditions characterizing an infinite number of consequence relations closely related to first-degree entailment. In this paper, we consider the semantics and proof theory for deductive systems corresponding to set-up models in which the mate function is cyclical. We describe modifications to Anderson and Belnap's consecution calculus LE_fde2 that correspond to these constraints, for which we prove soundness and completeness with respect to the set-up semantics. Finally, we show that a number of familiar metalogical properties are coordinated with the parity of a mate function's period, including refined versions of the variable-sharing property and the property of gentle explosiveness
Notes on Some Ideas in Lloyd Humberstone’s Philosophical Applications of Modal Logic
Get PDFLloyd Humberstone’s recently published Philosophical Applications of Modal Logic presents a number of new ideas in modal logic as well explication and critique of recent work of many others. We extend some of these ideas and answer some questions that are left open in the book
Sosein as Subject Matter
Get PDF(Neo)Meinongians in general, and Routley in particular, subscribe to the principle of the independence of Sosein from Sein (Routley 1980). In this paper, I put forward an interpretation of the independence principle that philosophers working outside the Meinongian tradition can accept. Drawing on recent work by Stephen Yablo and others on the notion of subject matter, I offer a new account of the notion of Sosein (Being-so) as a subject matter (or topic) and argue that in some cases Sosein might be independent from Sein (Being, Existence). The question whether numbers exist, for instance, is not part of the question of how numbers are, which is the topic mathematicians are interested in
Logically Impossible Worlds
Get PDFWhat does it mean for the laws of logic to fail? My task in this paper is to answer this question. I use the resources that Routley/Sylvan developed with his collaborators for the semantics of relevant logics to explain a world where the laws of logic fail. I claim that the non-normal worlds that Routley/Sylvan (with his collaborators) introduced are exactly such worlds. To disambiguate different kinds of impossible worlds, I call such worlds logically impossible worlds. At a logically impossible world, the laws of logic fail. In this paper, I provide a definition of logically impossible worlds. I then show that there is nothing strange about admitting such worlds
Similar, Yet Different: The Conscription Issue in Australia and New Zealand, 1916–17
Get PDFAustralia and New Zealand came to World War One with similar political trajectories, and their experience and memory of the war had much in common. However, on the key issue of conscription for overseas military service, they diverged. This article considers possible explanations for this difference. As others have noted, whereas New Zealand Prime Minister William Massey could be confident of a parliamentary majority, the early political power of the labour movement in Australia forced his Australian counterpart, W. M. Hughes, to take conscription to a popular vote—a forum in which the performance of politics and dissent took an unpredictable form. Beyond this, Hughes’s chances of gaining consent for conscription were compromised by the timing of the conscription campaigns in Australia—some critical months later than in New Zealand—his personal political style and his failure to craft a scheme of conscription that could secure the majority consent that the more adroit Massey achieved in New Zealand
History is the Plot
Get PDFThis contribution is in two parts. Firstly, a ‘documented historical fiction’ account of Private William Nimot, the only frontline New Zealander in World Wars I and II to desert to the enemy; and secondly, an exploration of the choice of this methodology to cover historical events. Private Nimot was originally written as a chapter in the first draft of March to the Sound of the Guns (2008). Deciding it was not relevant to the topic of the book, I then cut it out, other than to make a passing mention of Nimot’s unique status. It sat on the shelf for some years until I thought it might have the makings of a short story
Struggling to maintain diversity: The marginalisation of Playcentre in government early childhood education and care policy
Get PDF Playcentre is a parent cooperative early childhood service where parents are trained and supported as the educators in the service. Once considered a ‘mainstream’ service, policy has increasingly marginalised Playcentres in favour of supporting teacher-led services. This article gives a background of parent cooperative services, and then reviews policies of the fifth National government from 2008, with an emphasis on how these policies have accommodated or excluded Playcentre. This review is presented as an argument for maintaining diversity in the early childhood education and care sector by developing policy which accommodates parent cooperative services
When is a doll's house not a doll's house?
Get PDFClaimed as the smallest house in Australia, the Doll's House was a tiny two-roomed dwelling from the 1870s that became the poorest house in the then poorest suburb of Melbourne (Collingwood). It has since earned heritage status being cited by the National Trust in 1985 and later registered as a historic building. The miniature proportions of this tiny worker's cottage are the reason behind its nickname. This fascination with the miniature produced houses at much smaller scales as the residences of dolls rather than people. This paper examines the difference between the dolls' houses of the "old country" of the period and those that resulted from the need to make do with the resources at hand in the new colonies. Between the 1870s and the end of the nineteenth century the former were moving from bespoke houses for the very wealthy to mass-produced toys for the middle classes. German firms like Gottschalk were exporting their dolls' houses and mass-produced furniture for these to the UK and elsewhere in imitation of the exteriors and interiors of the period. In Australia dolls' houses of this period were made from waste materials such as packing cases. Furnishings could also be handmade, perhaps to the suggestions of Mrs Beeton, who encouraged children to make their own dolls' house furniture. The paper speculates as to whether this might also have been the situation in New Zealand. Unfortunately, no homemade dolls' house dating back to 1870 has yet been located here
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