Some have argued for a division of epistemic labor in which mathematicians supply truths and philosophers supply their necessity. We argue that this is wrong: mathematics is committed to its own necessity. Counterfactuals play a starring role.

We tend to suppose that the ancient Greeks had primitive ideas of the self, of responsibility, freedom, and shame, and that now humanity has advanced from these to a more refined moral consciousness. Bernard Williams's original and radical book questions this picture of Western history. While we are in many ways different from the Greeks, Williams claims that the differences are not to be traced to a shift in these basic conceptions of ethical life. We are more like the ancients (...) than we are prepared to acknowledge, and only when this is understood can we properly grasp our most important differences from them, such as our rejection of slavery. The author is a philosopher, but much of his book is directed to writers such as Homer and the tragedians, whom he discusses as poets and not just as materials for philosophy. At the center of his study is the question of how we can understand Greek tragedy at all, when its world is so far from ours. Williams explains how it is that when the ancients speak, they do not merely tell us about themselves, but about ourselves. _Shame and Necessity_ gives a new account of our relations to the Greeks, and helps us to see what ethical ideas we need in order to live in the modern world. (shrink)

The necessity constraint is at the heart of the ethics of both self-defense and war, and yet we know little about it. This article seeks to remedy that defect. It proceeds in two stages: first, an analysis of the concept of necessity in self-defense; second, an application of this analysis to war, looking at both its implications for just war theory and its application in the laws of war.

Finean essentialists take metaphysical necessity to be metaphysically explained by essence. But whence the explanatory power of essence? A recent wave of criticism against the Finean account has put pressure on essentialists to answer this question. Wallner and Vaidya (2020) have responded by offering an axiomatic account of the explanatory power of essence. This paper discusses their account in light of some recent criticism by Bovey (2022). Building on work by Glazier (2017), Bovey succeeds in showing that Wallner and (...) Vaidya’s account is in need of modification and clarification. In this paper, I take up Bovey’s challenge and argue that Wallner and Vaidya have the resources available to incorporate the necessary modifications. I discuss the details of this modification, specifically, the question of what kind of metaphysical explanation is at work in the explanation of the necessity of essence itself. To get clear on this, I will introduce the distinction between generative and non-generative metaphysical explanation. In this way the paper contributes to both, the debate about whether essences can explain necessity and to the ongoing debate about metaphysical explanation. (shrink)

A discussion of Aristotle’s thought on determinism and culpability, Necessity, Cause, and Blame also reveals Richard Sorabji’s own philosophical commitments. He makes the original argument here that Aristotle separates the notions of necessity and cause, rejecting both the idea that all events are necessarily determined as well as the idea that a non-necessitated event must also be non-caused. In support of this argument, Sorabji engages in a wide-ranging discussion of explanation, time, free will, essence, and purpose in nature. (...) He also provides historical perspective, arguing that these problems remain intimately bound up with modern controversies. “ Necessity, Cause and Blame would be counted by all as one of Sorabji’s finest. The book is essential for philosophers—both specialists on the Greeks and modern thinkers about free will—and also compelling for non-specialists.”—Martha Nussbaum “Original and important . . . The book relates Aristotle’s discussions to both the contemporary debates on determinism and causation and the ancient ones. It is especially detailed on Stoic arguments about necessity . . . and on the social and legal background to Aristotle’s thought.”— Choice “It is difficult to convey the extraordinary richness of this book. . . . A Greekless philosopher could read it with pleasure . . . At the same time, its learning and scholarship are enormous.”—G. E. M. Anscombe, Times Literary Supplement. (shrink)

ABSTRACTThree experiments examined how people reason about what is possible or necessary when a conditional is true. Participants were asked to indicate whether it was necessary, possible or impossible for a specific instance to conform to one of the truth-table cases, given the truth of the conditional. It was found that most participants, inconsistently, judged the pq case as necessary but the ¬pq or ¬p¬q cases as possible. Logically, these two kinds of judgments are contradictory. Moreover, a true conditional doesn’t (...) imply that a specific instance under the conditional must be pq. Therefore, people demonstrate a necessity illusion for pq cases which contradicts their commitment to the possibility of ¬pq or ¬p¬q cases. Existing accounts of conditionals are unable to explain the contradiction and the necessity illusion. We propose an inference dissociation account and explore the theoretical implications of this necessity illusion. (shrink)

This paper argues that the structural obscurity in Kant’s Critique of the Power of Judgment reflects his tacit employment of three correlated but distinct notions: necessity considered as the universal validity of the judgment of taste; necessity considered as a feature of the judgment itself; and necessity considered as a feature of the mental free harmony that obtains in judging certain forms with taste. These distinctions have not been sufficiently recognized by commentators so far. Clarification of these (...) three notions can shed new light on the structure of the first part of Kant’s third Critique as well as on debates over the plausibility of his claims regarding taste. (shrink)

Alan Sidelle's Necessity, Essence, and Individuation is a sustained defense of empiricism—or, more generally, conventionalism—against recent attacks by realists. Sidelle focuses his attention on necessity a posteriori, a kind of necessity which contemporary realists have taken to support realism over empiricism. Turning the tables against the realists, Sidelle argues that if there are in fact truths necessary a posteriori, it is not realism, but rather empiricism which provides the best explanation for them.

The aim of this chapter is to explore to some extent the relationship between identity and necessity in logic and metaphysics. First, I provide a historically-based summary of proofs of the necessity of identity, highlighting the importance of the role that self-identity plays. Second, I introduce two examples of metaphysical topics where the necessity of identity has played a pivotal role: the necessary a posteriori, and the coincidence of material objects. I argue that important aspects of these (...) debates rest on how we represent identity. Third, I consider some recent work on generalized identity. This opens up new prospects for explaining why identity is necessary. (shrink)

In discussions of the foundations of statistical mechanics, it is widely held that the Gibbsian and Boltzmannian approaches are incompatible but empirically equivalent; the Gibbsian approach may be calculationally preferable but only the Boltzmannian approach is conceptually satisfactory. I argue against both assumptions. Gibbsian statistical mechanics is applicable to a wide variety of problems and systems, such as the calculation of transport coefficients and the statistical mechanics and thermodynamics of mesoscopic systems, in which the Boltzmannian approach is inapplicable. And the (...) supposed conceptual problems with the Gibbsian approach are either misconceived, or apply only to certain versions of the Gibbsian approach, or apply with equal force to both approaches. I conclude that Boltzmannian statistical mechanics is best seen as a special case of, and not an alternatve to, Gibbsian statistical mechanics. (shrink)

General consensus has it that contingencies lack the requisite modal umph to serve as explanations for the modal status of necessities. The central aim of this paper is to show that this received opinion is incorrect: contingent necessity-makers are in fact possible. To do so, I identify certain conditions the satisfaction of which entail the possibility of contingent necessity-makers. I then argue for two broad instances where these conditions are satisfied. Consequently, the associated necessities in fact have contingent (...) necessity-makers. (shrink)

_Naming and Necessity_ has had a great and increasing influence. It redirected philosophical attention to neglected questions of natural and metaphysical necessity and to the connections between these and theories of naming, and of identity. This seminal work, to which today's thriving essentialist metaphysics largely owes its impetus, is here reissued in a newly corrected form with a new preface by the author. If there is such a thing as essential reading in metaphysics, or in philosophy of language, this (...) is it. (shrink)

This paper discusses some serious difficulties for what we shall call the standard account of various kinds of relative necessity, according to which any given kind of relative necessity may be defined by a strict conditional - necessarily, if C then p - where C is a suitable constant proposition, such as a conjunction of physical laws. We argue, with the help of Humberstone, that the standard account has several unpalatable consequences. We argue that Humberstone’s alternative account has (...) certain disadvantages, and offer another - considerably simpler - solution. (shrink)

It is generally agreed that using lethal or otherwise serious force in self-defense is justified only when three conditions are satisfied: first, there are some grounds for the defender to give priority to his own interests over those of the attacker (whether because the attacker has lost the protection of his right to life, for example, or because of the defender’s prerogative to prefer himself to others); second, the harm used is proportionate to the threat thereby averted; third, the harm (...) is necessary to avert that threat. The first and second conditions have been exhaustively discussed, but the third has been oddly neglected. Meanwhile a prominent school of thought has arisen, in the ethics of war, which seeks to ground the justification of killing in war in principles of individual self-defense. They too have failed to offer any substantive analysis of necessity, while at the same time appealing to it when it suits them to do so. In this paper, I attempt a detailed analysis of the necessity constraint on defensive force, and explore the implications of that analysis for the attempt to transpose principles of individual self-defense into the context of warfare. (shrink)

The traditional view that all logical truths are metaphysically necessary has come under attack in recent years. The contrary claim is prominent in David Kaplan’s work on demonstratives, and Edward Zalta has argued that logical truths that are not necessary appear in modal languages supplemented only with some device for making reference to the actual world (and thus independently of whether demonstratives like ‘I’, ‘here’, and ‘now’ are present). If this latter claim can be sustained, it strikes close to the (...) heart of the traditional view. I begin this paper by discussing and refuting Zalta’s argument in the context of a language for propositional modal logic with an actuality connective (section 1). This involves showing that his argument in favor of real world validity his preferred explication of logical truth, is fallacious. Next (section 2) I argue for an alternative explication of logical truth called general validity. Since the rule of necessitation preserves general validity, the argument of section 2 provides a reason for affirming the traditional view. Finally (section 3) I show that the intuitive idea behind the discredited notion of real world validity finds legitimate expression in an object language connective for deep necessity. (shrink)

Some have argued for a division of epistemic labor in which mathematicians supply truths and philosophers supply their necessity. We argue that this is wrong: mathematics is committed to its own necessity. Counterfactuals play a starring role.

Medical necessity (claiming that a medical intervention or care is – at minimum – reasonable, appropriate and acceptable) depends on empirical evidence and on the interpretation of that evidence. Evidence and its interpretation define the standard of care. This commentary argues that both the evidence base and its interpretation are currently weak gatekeepers. Empirical meta-research suggests that very few medical interventions have high quality evidence in support of their effectiveness and very few of them also have relatively thorough assessments (...) of their potential harms. Therefore, evidence on the risk-benefit ratios carries almost always very large uncertainty. Arbitration about medical necessity is thus left to the interpretation process. Professional guidelines are notoriously unreliable and biased in this regard. Regulatory approval ends up being the key arbitrator, but over the years the regulatory process has been subverted. Regulatory approval currently does not mean that an intervention has a favourable risk-benefit ratio, but simply that it can be marketed, sold and made profit from. The process leads to a tragedy of commons where the final victim is society at large: medical necessity is invoked as an alibi for medicine to absorb societal resources. (shrink)

The problem of necessity remains one of the central issues in modern philosophy. The authors of this volume, originally published in 1985, developed a new approach to the problem, which focusses on the logical grammar of necessary propositions. This volume gathers their seminal essays on the problem of necessity, together with new material at the original time publication.

What is it for something to be essential to an item? For some time, it was standard to think that the concept of necessity alone can provide an answer: for something to be essential to an item is for it to be strictly implied by the existence of that item. We now tend to think that this view fails because its analysans is insufficient for its analysandum. In response, some argue that we can supplement the analysis in terms of (...) necessity with a further condition. In this paper I argue that this view is untenable in its current form. I then provide a glimmer of hope to those who think that essence is at least partially analyzable in terms of necessity. (shrink)

It is common to think of essence along modal lines: the essential truths, on this approach, are a subset of the necessary truths. But Aristotle conceives of the necessary truths as being distinct and derivative from the essential truths. Such a non-modal conception of essence also constitutes a central component of the neo-Aristotelian approach to metaphysics defended over the last several decades by Kit Fine. Both Aristotle and Fine rely on a distinction between what belongs to the essence proper of (...) an object and what merely follows from the essence proper of an object. In order for this type of approach to essence and modality to be successful, we must be able to identify an appropriate consequence relation which in fact generates the result that the necessary truths about objects follow from the essential truths. I discuss some proposals put forward by Fine and then turn to Aristotle’s account: Aristotle’s central idea, to trace the explanatory power of definitions to the causal power of essences has the potential to open the door to a philosophically satisfying response to the question of why certain things are relevant, while others are irrelevant, to the nature or essence of entities. If at all possible, it would be desirable for example to have something further to say by way of explanation to such questions as ‘Why is the number 2 completely irrelevant to the nature of camels?’. (shrink)

The Master Argument, recorded by Epictetus, indicates that Diodorus had deduced a contradiction from the conjoint assertion of three propositions. The Argument, which has to do with necessity and contingency and therefore with freedom, has attracted the attention of logicians above all. There have been many attempts at reconstructing it in logical terms, without excessive worry about historical plausibility and with the foregone conclusion that it was sophistic since it directly imperilled our common sense notion of freedom. This text (...) takes exception to recent tradition, translating the propositions into logical terms. The propositions figuring in The Master Argument are interpreted in terms of temporal modal logic where both the modalities and the statements they govern have chronological indices. This means that the force of the argument comes not from purely logical or modal considerations, but from our experience of time. (shrink)

This paper examines the concept of medical necessity as it relates to mental health care rationing, arguing that the normal functioning model of medical necessity is insufficient because it fails to cohere with an important aim and function of mental health care, which is to provide support for individuals in abusive or otherwise difficult personal relationships.

One of the most influential of contemporary philosophers, Harry Frankfurt has made major contributions to the philosophy of action, moral psychology, and the study of Descartes. This collection of essays complements an earlier collection published by Cambridge, The Importance of What We Care About. Some of the essays develop lines of thought found in the earlier volume. They deal in general with foundational metaphysical and epistemological issues concerning Descartes, moral philosophy, and philosophical anthropology. Some bear upon topics in political philosophy (...) and religion. (shrink)

Grounding necessitarianism (GN) is the view that full grounds necessitate what they ground. Although GN has been rather popular among philosophers, it faces important counterexamples: For instance, A=[Socrates died] fully grounds C=[Xanthippe became a widow]. However, A fails to necessitate C: A could have obtained together with B=[Socrates and Xanthippe were never married], without C obtaining. In many cases, the debate essentially reduces to whether A indeed fully grounds C – as the contingentist claims – or if instead C is (...) fully grounded in A+, namely A plus some supplementary fact S (e.g. [Xanthippe was married to Socrates]) – as the necessitarian claims. Both sides typically agree that A+ necessitates C, while A does not; they disagree on whether A or A+ fully grounds C. This paper offers a novel defence of the claim that, in these typical cases, unlike A+, A fails to fully ground C – thereby bringing further support to GN. First and foremost, unlike A+, A fails to fully ground C because it fails to contain just what is relevant to do so, in two distinct senses – explanatory and generative relevance. Second, going for A, rather than A+, as a full ground undermines not just grounding necessitarianism, but modally weaker views which even contingentists may want to preserve. (shrink)

In adapting Husserl’s philosophical phenomenological method to conduct research in psychology I included Husserl’s two methodical steps, the epochē and the reduction, as part of the scientific procedure. Zahavi objected to my use of those steps. This article is a response to his objections and it is a reaffirmation of the necessity of the epochē and reduction for Husserlian phenomenological psychological research. A description of Husserl’s acknowledged types of psychology and a description of his transcendental phenomenology are also presented (...) along with two outlines of how Husserlian phenomenological research could be conducted. (shrink)

In a growing number of papers, one encounters arguments to the effect that certain philosophical views are objectionable because they would imply that there are necessary truths for whose necessity there is no explanation. That is, they imply that there are propositions p such that (a) it is necessary that p, but (b) there is no explanation why it is necessary that p. For short, they imply that there are “brute necessities.” Therefore, the arguments conclude, the views in question (...) should be rejected in favor of rival views under which the necessities would be explained. This style of argument raises a number of important and difficult questions. Do necessary truths really require explanation? Are they not paradigms of truths that either need no explanation or automatically have one, being in some sense self‐explanatory? If some necessary truths do require or admit of explanation, what types of explanation, are available? Are some necessary truths explained by other necessary truths? Are some necessary truths self‐explanatory? Are all necessary truths either self‐explanatory or explained by others? Or are there some necessary truths that are truly brute? This article surveys several representative arguments from brute necessity as well as a variety of answers to the questions above, noting their bearing on arguments from bruteness. (shrink)

In many diagrams one seems to perceive necessity – one sees not only that something is so, but that it must be so. That conflicts with a certain empiricism largely taken for granted in contemporary philosophy, which believes perception is not capable of such feats. The reason for this belief is often thought well-summarized in Hume's maxim: ‘there are no necessary connections between distinct existences’. It is also thought that even if there were such necessities, perception is too passive (...) or localized a faculty to register them. We defend the perception of necessity against such Humeanism, drawing on examples from mathematics. (shrink)

The principle of necessity as applied to self-defence requires the use of the least harmful defensively effective means of thwarting a wrongful threat. Yet –so I argue – a harm can be excessive even when it is the least harmful way of dealing with the threat at the time of the attack. I therefore propose a historical view of the requirement of necessity. Historical necessity requires the selection of the least harmful means to thwart a future attack (...) at the point in time at which we have a solid presumption that the future attack will take place. This may happen considerably before the time of the attack. Once you fail to acquire or preserve the least harmful defensive option for thwarting a future attack you may come to be irrevocably in breach of necessity. The paper tackles a number of objections to the view proposed. (shrink)

In the last 30 years much philosophical discussion has been generated by Kripke’s proof of the necessity of origin for material objects presented in footnote 56 of ‘Naming and Necessity’. I consider the two most popular reconstructions of Kripke’s argument: one appealing to the necessary sufficiency of origin, and the other employing a strong independence principle allegedly derived from the necessary local nature of prevention. I argue that, to achieve a general result, both reconstructions presuppose an implicit Humean (...) atomistic thesis of recombination, according to which any two (non-overlapping) possible objects can simultaneously coexist in one and the same world. Yet recombination ill accords with the other assumptions of the proofs. I also argue that the locality of prevention does not entail strong independence. (shrink)

In philosophical logic necessity is usually conceived as a sentential operator rather than as a predicate. An intensional sentential operator does not allow one to express quantified statements such as 'There are necessary a posteriori propositions' or 'All laws of physics are necessary' in first-order logic in a straightforward way, while they are readily formalized if necessity is formalized by a predicate. Replacing the operator conception of necessity by the predicate conception, however, causes various problems and forces (...) one to reject many philosophical accounts involving necessity that are based on the use of operator modal logic. We argue that the expressive power of the predicate account can be restored if a truth predicate is added to the language of first-order modal logic, because the predicate 'is necessary' can then be replaced by 'is necessarily true'. We prove a result showing that this substitution is technically feasible. To this end we provide partial possible-worlds semantics for the language with a predicate of necessity and perform the reduction of necessities to necessary truths. The technique applies also to many other intensional notions that have been analysed by means of modal operators. (shrink)

There is an important and fairly straightforward link between necessity and apriority which can shed light on our knowledge of the former, but initially plausible attempts to spell out what it is fall victim to counterexamples. Casullo discusses one such proposal, argues—following Anderson :1–20, )—that it fails, and suggests an alternative. In this paper, I argue that Casullo’s alternative also fails, before making a suggestion for which I can find no counterexamples and which, notably, handles some recent examples due (...) to Kipper and Strohminger and Yli-Vakkuri. (shrink)

Many people hold that there is a distinctive notion of metaphysical necessity. In this paper I explain why I am skeptical about the view. I examine the sorts of considerations that are adduced for it, and argue that they meet equal and opposite considerations.

Some philosophers, for example Quine, doubt the possibility of jointly using modalities and quantification. Simple model-theoretic considerations, however, lead to a reconciliation of quantifiers with such modal concepts as logical, physical, and ethical necessity, and suggest a general class of modalities of which these are instances. A simple axiom system, analogous to the Lewis systems S1 —S5, is considered in connection with this class of modalities. The system proves to be complete, and its class of theorems decidable.

In this paper I propose to answer the age-old reductio against vegetarianism, which is usually presented in the form of a sarcastic question. Addressing the question takes on special significance in the light of arguments which seem to show that even nonsentient life is intrinsically valuable. Thus, I suggest that we rephrase the question in the following manner: When beings evolve into societies of moral agents are they entitled merely to assume that they retain their license to destroy other life (...) in order to sustain their own? I answer in the negative. I argue that such societies must continually earn that right by engaging in activity that makes up for and augments the values that they destroy. Unlike other biological beings, humans have complete control over what they eat, whether they eat, and whether they reproduce. Hence, the appeals to necessity that are ubiquitous in justifications of both vegetarian and non-vegetarian diets are inauthentic and must be accordingly forsaken. We will have to appeal instead to the value of particular human activities that are fueled by our consumption of other lives. (shrink)

Upward monotonic semantics for necessity modals give rise to Ross’s Puzzle: they predict that □φ entails □(φ ∨ ψ), but common intuitions about arguments of this form suggest they are invalid. It is widely assumed that the intuitive judgments involved in Ross’s Puzzle can be explained in terms of the licensing of ‘Diversity’ inferences: from □(φ ∨ ψ), interpreters infer that the truth of each disjunct (φ, ψ) is compatible with the relevant set of worlds. I introduce two pieces (...) of data that this analysis fails to explain. Analyzing this data, I argue, suggests that necessity modals with embedded disjunctions license ‘Independence’ inferences: from the truth of □(φ ∨ ψ), interpreters infer that φ-without-ψ and ψ-without-φ are each compatible with the relevant set of worlds. I outline a bilateral inquisitive semantics for necessity modals that predicts the validity of the Independence inferences. I then argue that the resulting theory should be understood as one on which disjunctions denote pluralities of propositions, and necessity modals behave like collective predicates applied to these pluralities. (shrink)

ABSTRACTThe Necessity of Origins is the thesis that, necessarily, if a material object wholly originates from some particular material, then it could not have wholly originated from any significantly non-overlapping material. Several philosophers have argued for this thesis using as a premise a principle that we call ‘Single Origin Necessity’. However, we argue that Single Origin Necessity is false. So any arguments for The Necessity of Origins that rely on Single Origin Necessity are unsound. We (...) also argue that the Necessity of Origins itself is false. Our arguments rely on a thesis in the ontology of art that we find plausible: Multi-Work Materialism. It is the thesis that works of art that have multiple concrete manifestations are co-located with those manifestations. (shrink)

How do civilians react to being harmed in war? Existing studies argue that civilian casualties are strategically costly because civilian populations punish a belligerent who kills civilians and support the latter's opponent. Relying on eighty-seven semi-structured interviews with victims of coalition attacks in Afghanistan, this article shows that moral principles inform civilians’ attitudes toward their own harming. Their attitudes may therefore vary with the perceived circumstances of an attack. Civilians’ perception of harm as unintended and necessary, in accordance with the (...) moral principles of distinction and necessity, was associated with narratives that cast an attack as relatively more legitimate and with a partial or full release of the coalition from blame. The principle of proportionality, which requires that civilian casualties are caused in pursuit of a legitimate war aim, informed their abstract attitudes toward civilian casualties in Afghanistan. Two rules of international law, which accord with the moral principles of distinction and necessity, were reflected in the civilians’ attitudes. The legal rule of proportionality, which diverges from the namesake moral principle, failed to resonate with the civilians. The article explores whether compliance with the legal rules of distinction and necessity can contribute to mitigating the strategic costs of civilian casualties. (shrink)

The idea that the epistemology of modality is in some sense a priori is a popular one, but it has turned out to be difficult to precisify in a way that does not expose it to decisive counterexamples. The most common precisifications follow Kripke’s suggestion that cases of necessary a posteriori truth that can be known a priori to be necessary if true ‘may give a clue to a general characterization of a posteriori knowledge of necessary truths’. The idea is (...) that whether it is contingent whether p can be known a priori for at least some broad range of sentences ‘p’. Recently, Al Casullo and Jens Kipper have discussed restrictions of such principles to atomic sentences. We show that decisive counterexamples even to such dramatically restricted Kripke-style principles can be constructed using minimal logical resources. We then consider further restrictions, and show that the counterexamples to the original principles can be turned into counterexamples to the further restricted principles. We conclude that, if there are any true restrictions of Kripke-style principles, then they are so weak as to be of little epistemological interest. (shrink)

In this paper I offer an alternative to the standard, mechanistic/fatalistic account of causal necessity, one compatible with the existence of laws of nature but not deterministic in the way this is usually understood.