From the first co-operative trust school at Reddish Vale in Manchester in 2006, the following decade would witness a remarkable growth of ‘co-operative schools’ in England, which at one point numbered over 850. This paper outlines the key development of democratic education by the co-operative schools network. It explains the approach to democracy and explores the way values were put into practice. At the heart of co-operativism lay a tension between engaging with technical everyday reforms and utopian transformative visions of (...) an educational future. A new arena of debate and practice was established with considerable importance for our understanding of democratic education within the mainstream. (shrink)

Abstract(1)We show that it is possible to add $\kappa ^+$ -Cohen subsets to $\kappa $ with a Prikry forcing over $\kappa $. This answers a question from [9].(2)A strengthening of non-Galvin property is introduced. It is shown to be consistent using a single measurable cardinal which improves a previous result by S. Garti, S. Shelah, and the first author [5].(3)A situation with Extender-based Prikry forcings is examined. This relates to a question of H. Woodin.

Asperó and Schindler have completely solved the Axiom [Formula: see text] vs. [Formula: see text] problem. They have proved that if [Formula: see text] holds then Axiom [Formula: see text] holds, with no additional assumptions. The key question now concerns the relationship between [Formula: see text] and Axiom [Formula: see text]. This is because the foundational issues raised by the problem of Axiom [Formula: see text] vs. [Formula: see text] arguably persist in the problem of Axiom [Formula: see text] vs. (...) [Formula: see text]. The first of our two main theorems is that Axiom [Formula: see text] is equivalent to Axiom [Formula: see text], and as a corollary we show that Axiom [Formula: see text] fails in all the known models of [Formula: see text]. This suggests that [Formula: see text] actually refutes Axiom [Formula: see text]. Our second main theorem is that the [Formula: see text] Conjecture holds assuming [Formula: see text]. This is the strongest partial result known on this conjecture which is one of the central open problems of [Formula: see text]-theory and [Formula: see text]-logic. These results identify a fundamental asymmetry between the Continuum Hypothesis and any axiom which is both [Formula: see text]-expressible and which implies [Formula: see text], on the basis of generic absoluteness for the simplest of the nontrivial sentences of Third-Order Number Theory. These are the [Formula: see text]-sentences with no parameters. Such sentences are those which simply assert the existence of a set [Formula: see text] for which some property involving only quantification over [Formula: see text] holds. (shrink)

We give a fairly complete account which first shows that the solution to the inner model problem for one supercompact cardinal will yield an ultimate version ofLand then shows that the various current approaches to inner model theory must be fundamentally altered to provide that solution.

Around the world, the population is ageing in ways that pose new challenges for healthcare providers. To date these have mostly been formulated in terms of challenges created by increasing costs, and the focus has been squarely on life-prolonging treatments. However, this focus ignores the ways in which many older people require life-enhancing treatments to counteract the effects of physical and mental decline. This paper argues that in doing so it misses important aspects of what justice requires when it comes (...) to older people. (shrink)

We investigate both iteration hypotheses and extender models at the level of one supercompact cardinal. The HOD Conjecture is introduced and shown to be a key conjecture both for the Inner Model Program and for understanding the limits of the large cardinal hierarchy. We show that if the HOD Conjecture is true then this provides strong evidence for the existence of an ultimate version of Gödel's constructible universe L. Whether or not this "ultimate" L exists is now arguably the central (...) issue for the Inner Model Program. (shrink)

We investigate large cardinal axioms beyond the level of ω-huge in context of the universality of the suitable extender models of [Suitable Extender Models I, J. Math. Log.10 101–339]. We show that there is an analog of ADℝ at the level of ω-huge, more precisely the construction of the minimum model of ADℝ generalizes to the level of Vλ+1. This allows us to formulate the indicated generalization of ADℝ and then to prove that if the axiom holds in V at (...) a proper class of λ then in every suitable extender model, the axiom holds at a proper class of λ. (shrink)

Since 1989, widely circulating statistics on gay teen suicide in the United States have acted as catalysts for institutional reforms, scientific research, and the creation of an identity category “gay youth.” While one figure has been replicated scientifically, these numbers originated not from a scientific research study but as risk estimates developed by a social worker and published in a government document. Many people within the public took up these original numbers, attributing their author the status of scientific researcher. In (...) effect, the numbers became “black boxed,” often traveling without citation. Drawing on Ian Hacking’s “dynamic nominalist” perspective, this article utilizes interviews with the author of these statistics and other key claimants, along with textual analysis, to trace the origins, uptake, and effects of these figures. While making vital policy contributions, the numbers have led to some ironic consequences including the fostering of gay youth identification with suicide as a potential correlate of their identity and the potential antigay redeployment of decontextualized numbers. They have also led to a reaction in the form of “resilience” narratives. (shrink)

The results of this paper concern the effective cardinal structure of the subsets of [ω1]<ω1, the set of all countable subsets of ω1. The main results include dichotomy theorems and theorems which show that the effective cardinal structure is complicated.

The Necessary Maximality Principle for c. c. c. forcing with real parameters is equiconsistent with the existence of a weakly compact cardinal. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim).

How wrong is it to deceive someone into sex by lying, say, about one's profession? The answer is seriously wrong when the liar's actual profession would be a deal breaker for the victim of the deception: this deception vitiates the victim's sexual consent, and it is seriously wrong to have sex with someone while lacking his or her consent.

'The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite.' David Hilbert (1862-1943). This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen (...) world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy, and theology offer a rich intellectual exchange among various current viewpoints, rather than a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: Can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity"--Provided by publisher. (shrink)

The results of this paper concern the effective cardinal structure of the subsets of [ω1]<ω1, the set of all countable subsets of ω1. The main results include dichotomy theorems and theorems which show that the effective cardinal structure is complicated.

Scientists are seekers of truth; but where science breaks into the everyday world should they be held accountable for the outcome of their actions? The contributors to this volume believe that scientists are more than mere cogs in a machine - science, technology and politics are inseparable. Part 1 describes current scientific practice from three personal perspectives; part 2 looks at the ways in which science, society and the environment could interact given the chance; and part 3 examines the more (...) general aspects of Western science and their relevance to our relationship with the environment, society and all global issues. (shrink)

Healthcare ethics has to date had very little to say about the treatment of chronic illness. That is problematic. Chronic illness differs from other illnesses in that: 1. in most cases it cannot be cured; 2. patients can live with it for many years; and 3. its day to day management is typically carried out, not by healthcare professionals, but by the patient and/or members of their family. These features problematise key distinctions that underlie much existing work in healthcare ethics (...) — including those between beneficence and autonomy, between treatment and prevention, and between the recipient and provider of treatment. They also raise ethical questions that have not to date been addressed in any detail — including what healthcare professionals should do when patients are managing their illness poorly, or when changes occur that affect their patients. For these reasons chronic illness provides a lens through which to challenge the adequacy of existing approaches to healthcare ethics, exposing the gaps and false assumptions built into them. In doing so it also provides the materials to build a more philosophically adequate account of healthcare professionals’ moral obligations than exists to date. Providing such an account is the aim of this monograph. (shrink)

We prove the following result which is due to the third author. Let [Formula: see text]. If [Formula: see text] determinacy and [Formula: see text] determinacy both hold true and there is no [Formula: see text]-definable [Formula: see text]-sequence of pairwise distinct reals, then [Formula: see text] exists and is [Formula: see text]-iterable. The proof yields that [Formula: see text] determinacy implies that [Formula: see text] exists and is [Formula: see text]-iterable for all reals [Formula: see text]. A consequence is (...) the Determinacy Transfer Theorem for arbitrary [Formula: see text], namely the statement that [Formula: see text] determinacy implies [Formula: see text] determinacy. (shrink)

We prove the following result which is due to the third author. Let [Formula: see text]. If [Formula: see text] determinacy and [Formula: see text] determinacy both hold true and there is no [Formula: see text]-definable [Formula: see text]-sequence of pairwise distinct reals, then [Formula: see text] exists and is [Formula: see text]-iterable. The proof yields that [Formula: see text] determinacy implies that [Formula: see text] exists and is [Formula: see text]-iterable for all reals [Formula: see text]. A consequence is (...) the Determinacy Transfer Theorem for arbitrary [Formula: see text], namely the statement that [Formula: see text] determinacy implies [Formula: see text] determinacy. (shrink)

Nearly everyone prefers pain to be in the past rather than the future. This seems like a rationally permissible preference. But I argue that appearances are misleading, and that future-biased preferences are in fact irrational. My argument appeals to trade-offs between hedonic experiences and other goods. I argue that we are rationally required to adopt an exchange rate between a hedonic experience and another type of good that stays fixed, regardless of whether the hedonic experience is in the past or (...) future. (shrink)

Our successful engagement with the world is plausibly underwritten by our sensitivity to affordances in our immediate environment. The considerable literature on affordances focuses almost exclusively on affordances for bodily actions such as gripping, walking or eating. I propose that we are also sensitive to affordances for mental actions such as attending, imagining and counting. My case for this ‘Mental Affordance Hypothesis’ is motivated by a series of examples in which our sensitivity to mental affordances mirrors our sensitivity to bodily (...) affordances. Specifically, subjects perceive opportunities to perform a mental action and their doing so leads, under the right conditions, to the automatic preparation of that action. I conclude by sketching a mental affordance research program that would reinforce my case for the Mental Affordance Hypothesis and establish its ramifications for a number of debates across philosophy and psychology. (shrink)

The scope of someone's consent is the range of actions that they permit by giving consent. The Scope of Consent investigates the under-explored question of which normative principle governs the scope of consent. To answer this question, the book's investigation involves taking a stance on what constitutes consent. By appealing to the idea that someone can justify their behaviour by appealing to another person's consent, Dougherty defends the view that consent consists in behaviour that expresses a consent-giver's will for how (...) a consent-receiver behaves. The ultimate conclusion of the book is that the scope of consent is determined by certain evidence that bears on the appropriate interpretation of the consent. (shrink)

You are morally permitted to save your friend at the expense of a few strangers, but not at the expense of very many. However, there seems no number of strangers that marks a precise upper bound here. Consequently, there are borderline cases of groups at the expense of which you are permitted to save your friend. This essay discusses the question of what explains ethical vagueness like this, arguing that there are interesting metaethical consequences of various explanations.

The anglophone philosophy profession has a well-known problem with gender equity. A sig-nificant aspect of the problem is the fact that there are simply so many more male philoso-phers than female philosophers among students and faculty alike. The problem is at its stark-est at the faculty level, where only 22% - 24% of philosophers are female in the United States (Van Camp 2014), the United Kingdom (Beebee & Saul 2011) and Australia (Goddard 2008).<1> While this is a result of the (...) percentage of women declining at each point through-out the standard career trajectory, recent large-scale studies in the United States (Paxton et al. 2012) and Australia (Goddard et al. 2008) have identified a key drop-off point as the transi-tion between taking introductory classes and majoring in philosophy. So why do dispropor-tionately few female students choose to major in philosophy? (shrink)

We prove that if $V = L [s]$ where $s$ is an $\omega$ -sequence of ordinals then the GCH holds.

The main theorem is that the Ultrafilter Axiom of Woodin :115–37, 2011) must fail at all cardinals where the Axiom I0 holds, in all non-strategic extender models subject only to fairly general requirements on the non-strategic extender model.

To develop a theoretical framework for drawing moral distinctions between instances of sexual misconduct, I defend the “Ameliorative View” of consent, according to which there are three possibilities for what effect, if any, consent has: “fully valid consent” eliminates a wronging, “fully invalid consent” has no normative effect, and “partially valid consent” has an ameliorative effect on a wronging in the respect that it makes the wronging less grave. I motivate the view by proposing a solution to the problem of (...) characterizing the moral effect of consent that is given in response to minor coercion. (shrink)

In this essay, I discuss why consent is invalidated by duress that involves attaching penalties to someone's refusal to give consent. At the heart of my explanation is the Complaint Principle. This principle specifies that consent is defeasibly invalid when the consent results from someone conditionally imposing a penalty on the consent‐giver's refusal to give the consent, such that the consent‐giver has a legitimate complaint against this imposition focused on how it is affects their incentives for consenting. The Complaint Principle (...) says that this consent is defeasibly invalid to make room for the Authorization Principle, which allows sincere authorizations to constitute valid consent, even when these are issued by an agent acting under duress. The Authorization Principle has application only in cases of third‐party duress because when the consent‐receiver is the source of the duress, the consent‐giver is not sincerely authorizing the action. (shrink)

In the middle of the last century, it was common to explain the notion of necessity in linguistic terms. A necessary truth, it was said, is a sentence whose truth is guaranteed by linguistic rules. Quine famously argued that, on this view, de re modal claims do not make sense. “Porcupettes are porcupines” is necessarily true, but it would be a mistake to say of a particular porcupette that it is necessarily a porcupine, or that it is possibly purple. Linguistic (...) theories of necessity fell out of favour with the publication of Kripke’s Naming and Necessity, and Quine’s arguments were put aside. In her recent book, Norms and Necessity, Amie Thomasson presents her modal normativism, which is an updated version of the mid-century theories just described. Quine’s arguments are thus relevant once again. We recapitulate Quine’s central argument, in the context of modal normativism. We then criticise Amie Thomasson’s discussion of de re modality. We finish by briefly presenting an alternative account of de re modal statements, which is compatible with modal normativism. (shrink)

First Published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

First Published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.