In this work, we consider the problem of the approximate hedging of a contingent claim in the minimum mean square deviation criterion. A theorem on martingaỉe representation in the case of discrete time and an application of obtained result for semi-continous market model are given.

In this work we consider the problem of the approximate hedging of a contingent claim in the minimum mean square deviation criterion. A theorem on martingale representation in case of discrete time and an application of the result for semi-continuous market model are also given.

Various philosophers have long since been attracted to the doctrine that future contingent propositions systematically fail to be true—what is sometimes called the doctrine of the open future. However, open futurists have always struggled to articulate how their view interacts with standard principles of classical logic—most notably, with the Law of Excluded Middle. For consider the following two claims: Trump will be impeached tomorrow; Trump will not be impeached tomorrow. According to the kind of open futurist at issue, both (...) of these claims may well fail to be true. According to many, however, the disjunction of these claims can be represented as p ∨ ~p—that is, as an instance of LEM. In this essay, however, I wish to defend the view that the disjunction these claims cannot be represented as an instance of p ∨ ~p. And this is for the following reason: the latter claim is not, in fact, the strict negation of the former. More particularly, there is an important semantic distinction between the strict negation of the first claim [~] and the latter claim. However, the viability of this approach has been denied by Thomason, and more recently by MacFarlane and Cariani and Santorio, the latter of whom call the denial of the given semantic distinction “scopelessness”. According to these authors, that is, will is “scopeless” with respect to negation; whereas there is perhaps a syntactic distinction between ‘~Will p’ and ‘Will ~p’, there is no corresponding semantic distinction. And if this is so, the approach in question fails. In this paper, then, I criticize the claim that will is “scopeless” with respect to negation. I argue that will is a so-called “neg-raising” predicate—and that, in this light, we can see that the requisite scope distinctions aren’t missing, but are simply being masked. The result: a under-appreciated solution to the problem of future contingents that sees and as contraries, not contradictories. (shrink)

The conclusion of the McKinsey paradox is that certain contingent claims about the external world are knowable a priori. Almost all of the literature on the paradox assumes that this conclusion is unacceptable, and focuses on finding a way of avoiding it. However, there is no consensus that any of these responses work. In this paper I take a different approach, arguing that the conclusion is acceptable. First, I develop our understanding of what Evans calls merely superficially contingent (...) a priori knowledge, and explain why there is no reason to deny that merely superficially contingent a priori knowledge of the external world is possible. I then argue that, properly understood, the conclusion of the McKinsey paradox is that merely superficially contingent knowledge of certain claims about the external world is possible, and so the conclusion is acceptable. Finally, I respond to the two main arguments that the conclusion of the paradox is unacceptable. (shrink)

This article makes three claims concerning the concept of contingency. First, we argue that the word contingency is used in far too many ways to be useful. Its many meanings are detrimental to clarity of discussion and thought in history and the social sciences. We show how there are eight distinct uses of the word and illustrate this with numerous examples from the social sciences and history, highlighting the scope for confusion caused by the many, often contradictory uses of the (...) term. Second, we impose some order on these uses through developing a threefold classification of contingency based on assumptions about possible worlds and determinism. Finally, we discuss why we believe that one of the classes is a special use of the word without relevance to the social sciences, while the two remaining classes are nothing more than a variety of the “no hidden factors” argument in the debate on indeterminism and determinism. (shrink)

This paper argues that the problem of how to act in the face of radical contingency is of central importance in Musil’s novel and intimately connected to what Musil calls the sense of possibility. There is a variety of different strategies by which individuals, and the state of Kakania as a whole, deal with contingency, and they all involve a claim to a kind of grounding or necessity; for example, the Parallel Campaign is one big attempt to ground Kakania (...) in what can be perceived as a form of metaphysical necessity. With the figure of Ulrich, Musil radicalizes the problem by showing the consequences of viewing even the relationship one has to one’s own self as contingent – the ultimate outcome of which is self-alienation. (shrink)

When the necessity of identity (NI) is combined with composition as identity (CAI), the contingency of composition (CC) is at risk. In the extant literature, either NI is seen as the basis for a refutation of CAI or CAI is associated with a theory of modality, such that: either NI is renounced (if counterpart theory is adopted); or CC is renounced (if the theory of modal parts is adopted). In this paper, we investigate the prospects of a new variety of (...) CAI, which aims to preserve both NI and CC. This new variety of CAI (CCAI, contingent composition as identity) is the quite natural product of the attempt to make sense of CAI on the background of a broadly Kripkean view of modality, such that one and the same entity is allowed to exist at more than one possible world. CCAI introduces a world-relative kind of identity, which is different from standard identity, and claims that composition is this kind of world-relative identity. CCAI manages to preserve NI and CC. We compare CCAI with Gibbard’s and Gallois’ doctrines of contingent identity and we show that CCAI can be sensibly interpreted as a form of Weak CAI, that is of the thesis that composition is not standard identity, yet is significantly similar to it. (shrink)

This paper defends the traditional view that the laws of nature are contingent, or, if some of them are necessary, this is due to analytic principles for the individuation of the law-governed properties. Fundamentally, I argue that the supposed explanatory purposes served by taking the laws to be necessary --showing how laws support counterfactuals, how properties are individuated, or how we have knowledge of properties--are in fact undermined by the continued possibility of the imagined scenarios--this time, described neutrally--which seemed (...) to disprove the claim to necessity in the first place. I speculate that this will be true for any proposed necessary a posteriori truths, and is a basis for rejecting their supposed metaphysical significance. (shrink)

Throughout the writings of Paul Feyerabend, there are constant references to the historical contingency of the scientific enterprise, often accompanied by philosophical claims about the significance of that contingency. This paper presents those contingentist claims, situates them in the context of more recent work on the contingency of science, and offers an interpretation of their significance. I suggest that Feyerabend’s sense of contingency was connected to his defences of pluralism, and also to the ‘conquest of abundance’ narrative developed in the (...) very late writings. (shrink)

One of the major challenges in the philosophy of religion is theological fatalism—roughly, the claim that divine omniscience is incompatible with free will. In this article, I present new reasons to be skeptical of what I consider to be the strongest argument for theological fatalism. First, I argue that divine foreknowledge is not necessary for an argument against free will if we take into account divine knowledge of contingent a priori truths. Second, I show that this argument can (...) be generalized so that ordinary human knowledge of contingent a priori truths also leads to an argument against free will. This, I believe, results in an absurd conclusion that is unacceptable to both theists and non-theists. But if there is something wrong with this argument, there is something wrong, too, with the argument for theological fatalism. Although there is a range of possible responses, I suggest that the core issue in all cases is a closure principle—specifically, the principle that ‘no choice about’ is closed under entailment (or strict implication). (shrink)

I reject both (a) inevitabilism about the historical development of the sciences and (b) what Ian Hacking calls the "put up or shut up" argument against those who make contingentist claims. Each position is guilty of a lack of humility about our epistemic capacities.

It has been claimed that photographs are transparent: we see through them; we literally see the photographed object through the photograph. Whether this claim is true depends on the way we conceive of seeing. There has been a controversy about whether localizing the perceived object in one's egocentric space is a necessary feature of seeing, as if it is, then photographs are unlikely to be transparent. I would like to propose and defend another, much weaker, necessary condition for seeing: (...) I argue that it is necessary for seeing that there is at least one way for me to move such that if I were to move this way, my view of the perceived object would change continuously as I move. Since this condition is not satisfied in the case of seeing objects in photographs, photographs are not transparent. (shrink)

In this paper, I present and analyse the theological reasons given by contemporary authors such as Robert J. Russell, Thomas Tracy and John Polkinghorne, as well as thirteenth‑century scholar Thomas Aquinas, to admit that the created universe requires being intrinsically contingent in its causing, in particular referring to their doctrines of providence. Contemporary authors stress the need of having indeterminate events within the natural world to allow for God’s providential action within creation, whereas Aquinas focuses his argument on the (...) idea that a universe which includes contingent causes is a more perfect universe. I compare these two approaches, concluding that Aquinas’ seems to be better suited to account for true indetermination within the natural world, claiming that divine causality is not required to complement natural causality in its own level. (shrink)

In “The Open Future” (2021) Patrick Todd argues that the future is open, and that as a consequence all future contingents are false (as opposed to the more common view that they are neither true nor false). Very roughly, this latter claim is motivated by the idea that (a) presentism is true, and so future (and indeed past) things do not exist and (b) if future things do not exist, then the only thing that could ground there being future (...) tensed facts, and hence make those future tensed claims true, is the present and the laws of nature. But (c) the present and the laws of nature cannot ground there being future tensed facts because they do not necessitate there being any such fact. Hence future tensed claims are all false. Todd then goes on to present a semantics for his version of the open future on which all future contingents are false. In what follows we take up two strands of Todd’s view. First, we begin, in Section 2, by outlining Todd’s argument that future contingents are all false. We suggest that the considerations that Todd adduces for this conclusion do not support this being so. Then in Section 3 we consider the semantics that Todd offers, and argue that it yields implausible consequences. (shrink)

De re or singular thoughts are, intuitively, those essentially or constitutively about a particular object or objects; any thought about different objects would be a different thought. How should a philosophical articulation or thematization of their nature look like? In spite of extended discussion of the issue since it was brought to the attention of the philosophical community in the late fifties by Quine (1956), we are far from having a plausible response. Discussing the matter in connection with the status (...) of the Kripkean category of the contingent a priori, Donnellan (1979) argued that what can be properly classified as knowable a priori about utterances like those involving ‘one meter’ or ‘Neptune’ famously proposed by Kripke (1980) cannot be the very same singular content that is contingent he distinguished to that end between knowing a true proposition expressed by an utterance, and knowing that an utterance expresses a true proposition. Evans (1979) replied that, for a very specific sort of cases involving “descriptive names”, a related proto-two-dimensionalist account should be preferred, on which it is not the singular contingent content, but rather a general descriptive one which is knowable a priori. In a series of papers, Robin Jeshion (2000, 2001) has recently attacked Donnellan's proposal, arguing in favour of the most straightforward interpretation of Kripke's claim: in the relevant cases, the very same singular content can be both contingent and knowable a priori. This paper appeals to a generalized version of two-dimensional semantics to advance an account of the Kripkean cases along the lines of Evans's, and argues that Jeshion's compelling arguments against Donnellan's view do not apply to this version. (shrink)

To reconcile true claims of de re necessity with the supposedly contingent existence of the concrete objects those claims are typically about, Kripkean essentialists invoke weak necessity. The claim that a is necessarily F is held to be equivalent to the claim that necessarily, if a exists then a is F. This strategy faces a barrage of serious objections a proper subset of which shows that the strategy fails to achieve its intended purpose. Relief can be provided (...) via recourse to a markedly non-Kripkean version of essentialism.1. (shrink)

Gideon Rosen has recently sketched an argument which aims to establish that the notion of metaphysical modality is systematically ambiguous. His argument contains a crucial sub-argument which has been used to argue for Metaphysical Contingentism, the view that some claims of fundamental metaphysics are metaphysically contingent rather than necessary. In this paper, Rosen’s argument is explicated in detail and it is argued that the most straight-forward reconstruction fails to support its intended conclusion. Two possible ways to save the argument (...) are rebutted and it is furthermore argued that the crucial sub-argument only supports a rather particular variant of Metaphysical Contingentism. (shrink)

Quentin Meillassoux’s ‘Spectral Dilemma offers philosophy an answer to an age old problem, one that Pascal had intimated on in the wager. Is it better to believe in God for life or abstain from belief and declare atheism? The paradox of theism and atheism has separated philosophy for centuries by limiting the possibilities for real thought. For Meillassoux, there is more at stake than just the limitations of thought. Both atheism and theism have exhausted all the conditions of human life. (...) In order to answer this paradox Meillassoux must combine religious insight that the dead must be resurrected with the atheist conviction that God does not exist. (Harman, Quentin Meillassoux, Philosophy in the Making p.87). The aforementioned insight, grounds Meillassoux’s position in what he calls a Divine Ethics. The concept of the Divine carries both atheism and theism to their ultimate consequences to unveil the truth that … “God does not exist, and also that it is quite necessary to believe in God (Harman p.236). The Divine links both assertions in an absolute ethics which Meillassoux calls Divinology. This leads us to our next question what is the Spectral Dilemma? In order to answer this question, we cannot rely solely on what the dilemma is, for it is not, a sufficient account of what Meillassoux is trying to solve. We must proceed to understand the conditions of what Divine Ethics are, and how the Divinology can best represent life for both the living and the dead. What is a spectre? According to Meillassoux it is a dead person who has not been properly mourned (Meillassoux, Spectral Dilemma p.261). This person’s death haunts us. This haunting is the mere fact that we cannot mourn their loss, for as time passes by, our bond with the dead, or dearly departed, proves to be inadequate for our own lives. This haunting leads us to utter despair. The sheer horror of their death is a burden that lays heavy on our backs; and not just our own backs, or our families backs, but for all those people who have crossed their paths in history (Meillassoux p. 262). These terrible deaths are called Essential Spectres and they include all deaths, such as, odious, premature, the death of children, the death of parents; and all of those poor individuals who know that their own destiny will at some point in time, be the same as these poor individuals (Meillassoux p.262). But it is precisely all death in its inconclusive finality that haunts us all, not just natural deaths or even violent grueling death and causalities of war. These essential spectres, are the dead who refuse to Passover, even though they are gone. This concept must seem absurd to any reader to believe in them, but still, Meillassoux makes his point that these essential spectres still cry out to us all, that they still exist with us (Meillassoux p.262). Meillassoux claims that the completion of mourning must occur and Essential Mourning, which is described as an accomplishment of a living relationship with the dead, as opposed to maintaining a morbid bond with those who have survived after their deaths (Meillassoux p.263). According to Meillassoux, essential mourning grants us the possibility, of forming a bond again with the dearly departed (Meillassoux p.263). This bond actively animates their memory into our lives again, but the concept of accomplishment means, that to live again with those essential spectres … “[R]ather than relating to them with the memory of their morbid death” (Meillassoux p.263). In order to fully understand this possibility, we must ask the question does God exist. Is there a merciful spirit, which transcends all of humanity? Is this God working in the world? If so, then why do essential spectres exist? How is it possible that these terrible deaths occur in the world and are allowed by such a God? If this is so, that God allows these deaths to occur then perhaps God is not all powerful? Perhaps this so called transcendent principle is absent in the world (Meillassoux p.263).Meillassoux states that both the religious and atheist options do not allow for essential mourning to take place. Both these positions lead to disappear when confronting death. What is needed is what will follow in the rest of this paper … a Divine Inexistence. We need to assert the existence of a Virtual-God that is both inexistent and possible, but also contingent and unmasterable (Harman p.89). The Divine Inexistence is the main concept of Meillassoux’s Divinology but also the answer to the spectral dilemma, that a new ethics is both possible and needed. This Divine Ethics will both save Essential Spectres and Philosophy. My essential claim is that the actual article ‘Spectral Dilemma’ published in collapse Journal, is insufficient in fully answering the problem of essential spectres. The juxtaposition of atheism and theism is not enough to philosophically explain the significance of the Divine Inexistence. The article is not lengthy enough to explain how ontology, contingent-metaphysics and ethics relate to the fundamental problem. The Divine Inexistence must be fully articulated with the entirety of Meillassoux’s Divinology. I will attempt to fully express the entirety of Meillassoux for my reader, while at the same time, offering a comprehensive answer to the spectral dilemma. -/- . (shrink)

This discussion note aims to call into question the first part of Gloria Frost’s article, Aquinas and Scotus on the Source of Contingency, devoted to Aquinas’s thought on the source of contingency in creation. I shall discuss three controversial claims that represent the key points of Frost’s interpretation of Aquinas’s account on contingency: with re spect to existence, every creature exists contingently on the grounds that no creature is necessarily willed by God; with respect to cause-and-effect relationship, only those effects (...) that derive from a voluntary cause are contingently caused; God’s will, as a voluntary cause, is a contingently operating cause and thus cannot immediately produce a necessary effect. According to my analysis, Frost’s misinterpretation of Aquinas’s position on contingency in creation derives from the erroneous assumption that, for Aquinas, the freedom of a cause implies the contingency of such a cause and of all the effects following from it. I shall prove that Frost’s misunderstanding consists in neglecting that Aquinas does not endorse this co-implication between freedom and contingency: in fact, if the freedom of a cause indicates that it can refrain from producing its effect, the contingency of a cause means its mutability and fallibility, namely that it can be prevented in producing its effect. (shrink)

What is special about the philosophy of history when the history is about science? I shall focus on an impasse between two perspectives — one seeking an ideal of rationality to guide scientific practices, and one stressing the contingency of the practices. They disagree on what this contingency means for scientific norms. Their impasse underlies some fractious relations within History and Philosophy of Science. Since the late 1960s, this interdisciplinary field has been described, variously, as an “intimate relationship or marriage (...) of convenience”, a “marriage for the sake of reason”, a “troubling interaction ”, a “precarious relationship”, or one at risk of “ epistemological derangement”. -/- My paper has three aims. First, I characterise two idealised perspectives in this impasse: the sublimers and subversives. Then I describe a curious dynamic in which each perspective accuses the other of, simultaneously, claiming too little and too much. Subliming is dismissed for being scholastic, and condemned for being imperialist. Subverting is disparaged for being merely sociological, then criticised for being irrational or relativist. Here I draw on and extend the analyses of science studies in Kitcher, Zammito and others. Second, I argue that sublimers and subversives often talk past each other. Their mutual dismissals and condemnations arise partly because each perspective misconstrues the other’s claims. Each fails to see that the other is interested in different problems and interprets concepts differently. Third, I suggest that my analysis clarifies some current disagreements and old debates about contingency in science. It may also apply to debates on the contingency of norms in non- scientific realms. (shrink)

This book launches a sustained defense of a radical interpretation of the doctrine of the open future. Patrick Todd argues that all claims about undetermined aspects of the future are simply false.

This paper presents a survey of the literature on the problem of contingency in science. The survey is structured around three challenges faced by current attempts at understanding the conflict between “contingentist” and “inevitabilist” interpretations of scientific knowledge and practice. First, the challenge of definition: it proves hard to define the positions that are at stake in a way that is both conceptually rigorous and does justice to the plethora of views on the issue. Second, the challenge of distinction: some (...) features of the debate suggest that the contingency issue may not be sufficiently distinct from other philosophical debates to constitute a genuine, independent philosophical problem. And third, the challenge of decidability: it remains unclear whether and how the conflict could be settled on the basis of empirical evidence from the actual history of science. The paper argues that in order to make progress in the present debate, we need to distinguish more systematically between different expressions that claims about contingency and inevitability in science can take. To this end, it introduces a taxonomy of different contingency and inevitability claims. The taxonomy has the structure of an ordered quadruple. Each contingency and each inevitability claim contains an answer to the following four questions: (how) are alternatives to current science possible, what types of alternatives are we talking about, how should the alternatives be assessed, and how different are they from actual science? (shrink)

Peter de Rivo (b. ca. 1420), argues for the existence of human freedom despite its alleged incompatibility with the truth of future contingent propositions. Rivo’s solution doesn’t follow the common medieval attempt to dissolve the alleged incompatibility, but claims that future contingent propositions aren’t determinately true. This approach troubled Rivo’s contemporaries, who thought it was incompatible with biblical infallibility, particularly the veracity of prophetic statements. Rivo tries to reconcile his solution with orthodox Christianity by grounding authentic prophetic statements (...) in God’s cognition of future events. In the end, Rivo’s attempted reconciliation fails because grounding the truth of prophetic statements in God cognition is incompatible either with his theological assumptions or his conception of free action. (shrink)

The present work explores various ways in which contingent evidence can impact metaphysics, while advocating that, just as a scientific realist allows for ampliative inferences to the unobservable, ampliative inferences from possible evidence can warrant possibility claims that lie beyond the reach of sensorial imagination. In slogan form: possible evidence is a guide to possibility. Drawing on Shoemaker’s (1969) argument for the possibility of time without change, I advocate the following principle: If there is a possible world at which (...) the observable facts make it objectively reasonable to conclude that p, then we should conclude that p is possibly true. This provides a route to contingentism in metaphysics, for, if one considers that there are worlds in which the observable facts make it objectively reasonable to conclude that p, and worlds in which the observable facts make it objectively reasonable to conclude that not-p, then my principle tells us that we should conclude that possibly-p and possibly not-p, i.e. that p is contingent. This contingency in what is reasonable to conclude, I suggest, occurs most saliently in debates where evidence of phenomenal experience and empirical science are marshalled to support one theory over another. I also explore some consequences of taking possible evidence to be a guide to possibility in this way, among them being an interesting modal analogue of the lottery paradox. (shrink)

Leibniz claims that for every possible substance S there is an individual concept that includes predicates describing everything that will ever happen to S, if S existed. Many commentators have thought that this leads Leibniz to think that all properties are had essentially, and thus that it is not metaphysically possible for substances to be otherwise than the way their individual concept has them as being. I argue against this common way of reading Leibniz’s views on the metaphysics of modality. (...) I develop a model in which individual concepts are innocent; that is, individual concepts are divine ideas that permit God to know everything that will ever happen to all possible substances, if created, but these individual concepts neither require that all properties are had essentially nor require that it is metaphysically necessary for substances to be the way their individual concepts have them as being. (shrink)

Thomas Polger has argued in favor of the mind-brain type-identity theory, the view that mental states or processes are type-identical to states of the central nervous system. Acknowledging that the type-materialist must respond to Kripke's modal anti-materialist argument, Polger insists that Kripke's argument rests on dubious assumptions concerning the identity conditions of brain states. In brief, Polger claims that one knows that x and y are non-identical when one knows the identity conditions for both x and y. Replace x and (...) y with 'brain states' and 'sensations' and it follows that one can know that brain states and sensations are non-identical only if one knows the identity conditions for brain states. But, according to Polger, we do not know the identity conditions for brain states. Hence, we should not be so confident that brains states and sensations are non-identical after all. But Polger's account is terribly flawed. Ironically, if Polger's skepticism is warranted, then Polger himself has no good reasons to be a type-materialist. But more importantly, Polger's skepticism regarding the identity conditions of brain states is deeply defective. We do, I submit, understand the identity conditions of brain states. In the end, I submit, Kripke is safe from Polger. (shrink)

This paper shows that any view of future contingent claims that treats such claims as having indeterminate truth values or as simply being false implies probabilistic irrationality. This is because such views of the future imply violations of reflection, special reflection and conditionalization.

This paper investigates the form a modal realist analysis of possibility and necessity should take. It concludes that according to the best version of modal realism, the notion of a world plays no role in the analysis of modal claims. All contingent claims contain some de re element; the effect of modal operators on these elements is described by a counterpart theory which takes the same form whether the de re reference is to a world or to something else. (...) This fully general counterpart theory can validate orthodox modal logic, including the logic of 'actually'. (shrink)

In a lot of domains in metaphysics the tacit assumption has been that whichever metaphysical principles turn out to be true, these will be necessarily true. Let us call necessitarianism about some domain the thesis that the right metaphysics of that domain is necessary. Necessitarianism has flourished. In the philosophy of maths we find it held that if mathematical objects exist, then they do of necessity. Mathematical Platonists affirm the necessary existence of mathematical objects (see for instance Hale and Wright (...) 1992 and 1994; Wright 1983 and 1988; Schiffer 1996; Resnik 1997; Shapiro 1997 and Zalta 1988) while mathematical nominalists, usually in the form of fictionalists, hold that necessarily such objects fail to exist (see for instance Balaguer 1996 and 1998; Rosen 2001 and Yablo 2005). In metaphysics more generally, until recently it was more or less assumed that whatever the right account of composition—the account of under what conditions some xs compose a y—that account will be necessarily true (for a discussion of theories of composition see Simons 1987 and van Inwagen 1987 and 1990; the modal status of the composition relation is explicitly addressed in Schaffer 2007; Parsons 2006 and Cameron 2007). Similarly, it has generally been assumed that whatever the right account is of the nature of properties, whether they be universals, tropes, or whether nominalism is true, that account will be necessarily true (though see Rosen 2006 for a recent suggestion to the contrary). In considering theories of persistence it has been widely held that whether objects endure or perdure through time is a matter of necessity (Sider 2001; though see Lewis 1999 p227 who defends contingent perdurantism). And with respect to theories of time it is frequently held that whichever of the A- or B-theory is true is necessarily true. A-theorists often argue that there is time in a world only if the A-theory is true at that world (see for instance McTaggart 1903; Markosian 2004; Bigelow 1996; Craig 2001) while B-theorists often argue that the A-theory is internally inconsistent (Smart 1987; Mellor 1998; Savitt 2000 and Le Poidevin 1991). Once again, we find a few recent contingentist dissenters. Bourne (2006) suggests that it is a contingent feature of time that it is tensed, and thus that the A-theory is contingently true. Worlds in which there exist only B-theoretic properties are worlds with time, it is just that time in those worlds time is radically different to the way it is actually. Other defenders of the B-theory, though not expressly contingentists, do offer arguments against versions of the A-theory that try to show that such A-theories theories are inconsistent with the actual laws of nature (see for instance Saunders 2002 and Callender 2000); these arguments, at least, leave room for the possibility that the A-theories in question are contingently false (at least on the assumption that the laws of nature are themselves contingent, an assumption that not everyone accepts). Despite some notable exceptions, necessitarianism has flourished in many, if not most, domains in metaphysics. One such exception is Lewis’ famous defence of Humean supervenience as a contingent claim about our world. Lewis does not argue that necessarily, the supervenience base for all matters of fact in a world is nothing but a vast mosaic of local matters of particular fact. Rather, he thinks that we have reason to think that our world is one in which Humean supervenience holds (see Lewis 1986 p9-10 and 1994). Another exception to the necessitarian orthodoxy is to be found in the lively debate about the modal status of the laws of nature. Here, if anything, contingentism has been the dominating force, with it generally being held that there are possible worlds in which different laws of nature hold (this view is defended by, among others, Lewis 1986 and 2010; Schaffer 2005 and Sidelle 2002). Necessitarian dissenters hold that the laws of nature are necessary, frequently because they think it is necessary that fundamental properties have the causal or nomic profiles they do (see for instance Shoemaker 1980 and 1988; Swoyer 1982; Bird 1995; Ellis and Lierse 1994). Nevertheless, when it comes to thinking about the nature of the laws themselves, the necessitarian presumption is back on firm footing. Though there is disagreement about whether the laws are generalisations that feature in the most virtuous true axiomatisation of all the particular matters of fact (often known as the Humean view of laws and defended by Ramsey 1978; Lewis 1986 and Beebee 2000) or whether laws are relations of necessity that hold between universals (a view defended by Armstrong 1983; Dretske 1977; Tooley 1977 and Carroll 1990) no one has seriously suggested that it might be a contingent matter which of these is the right account of laws. The necessitarian orthodoxy is not surprising since metaphysics is largely an a priori process. While a priori reasoning may be used to determine whether a proposition is necessary or contingent, it is not well placed (in the absence of a posteriori evidence) to determine whether a contingent proposition is actually true or false. Since metaphysicians aim to tell us which principles are true in which worlds, on the face of it the discovery that metaphysical principles are contingent seems to make part of the task of metaphysics epistemically intractable. In what follows I consider two reasons one might end up embracing contingentism and whether this would lead one into epistemic difficulty. The following section considers a route to contingent metaphysical truths that proceeds via a combination of conceptual necessities and empirical discoveries. Section 3 considers whether there might be synthetic contingent metaphysical truths, and the final section raises the question of whether if there were such truths we would be well placed to come to know them. (shrink)

The aim of this paper is to argue that the adoption of an unrestricted principle of bivalence is compatible with a metaphysics that (i) denies that the future is real, (ii) adopts nomological indeterminism, and (iii) exploits a branching structure to provide a semantics for future contingent claims. To this end, we elaborate what we call Flow Fragmentalism, a view inspired by Kit Fine (2005)’s non-standard tense realism, according to which reality is divided up into maximally coherent collections of (...) tensed facts. In this way, we show how to reconcile a genuinely A-theoretic branching-time model with the idea that there is a branch corresponding to the thin red line, that is, the branch that will turn out to be the actual future history of the world. (shrink)

This paper articulates in formal terms a crucial distinction concerning future contingents, the distinction between what is true about the future and what is reasonable to believe about the future. Its key idea is that the branching structures that have been used so far to model truth can be employed to define an epistemic property, credibility, which we take to be closely related to knowledge and assertibility, and which is ultimately reducible to probability. As a result, two kinds of claims (...) about future contingents—one concerning truth, the other concerning credibility—can be smoothly handled within a single semantic framework. (shrink)

In this contribution we explore revisionists and anti-revisionists conceptions of the historical imagination. The focus will be on how these conceptions of the historical imagination determine how one ought to answer the question of whether or not it is in principle possible to know the past in its own terms rather than from the perspective of the present. The contrast that we are seeking to draw is that between a conception of the historical imagination which is revisionist in the sense (...) that it is committed to the claim that knowledge of the past is in principle impossible, and one which is anti-revisionist in the sense that it regards knowledge of the past in its own terms to be in principle possible. Revisionism, as we understand it here, is not the contingent claim that in some cases (where, for example, new evidence which was previously unavailable comes to light) the historical understanding of the past may be revised; rather, it represents an a priori claim about the impossibility of knowing the past in its own terms in all cases, and not just in some. Likewise, anti-revisionism, as we understand it here, is the view that historical knowledge is in principle possible; it is not the claim that it is always achieved as a matter of fact. The debate between revisionist and anti-revisionist conceptions of the historical imagination is therefore a second-order debate about the nature of historical knowing, about whether it is possible, and if so, about what its conditions of possibility are. It is not a first order debate about whether or not such knowledge has been achieved in any given case. (shrink)

Will it rain tomorrow? Will there be a sea battle tomorrow? Will my death be painful? Wondering about the future plays a central role in our cognitive lives. It is integral to our inquiries, our planning, our hopes, and our fears. The aim of this paper is to consider various accounts of future contingents and the implications that they have for wondering about the future. I argue that reflecting on the nature of wondering about the future supports an Ockhamist account (...) of future contingents according to which many of them are true. Alternative accounts which maintain that no future contingents are true, either by claiming that they are all false or by claiming that they are neither true nor false, face difficulties concerning why it is appropriate to wonder about them. Reflecting on wondering in general, and wondering about the future in particular, suggests that in wondering how the future will go, we implicitly assume that there is a determinate fact of the matter. After presenting an attractive account of interrogative attitudes that has been recently proposed by Jane Friedman and outlining some norms governing wondering, I argue that all accounts of future contingents except Ockhamism face difficulties concerning why it is appropriate to wonder about them. (shrink)

Todd (2016) proposes an analysis of future-directed sentences, in particular sentences of the form 'will(φ)', that is based on the classic Russellian analysis of definite descriptions. Todd's analysis is supposed to vindicate the claim that the future is metaphysically open while retaining a simple Ockhamist semantics of future contingents and the principles of classical logic, i.e. bivalence and the law of excluded middle. Consequently, an open futurist can straightforwardly retain classical logic without appeal to supervaluations, determinacy operators, or any (...) further controversial semantical or metaphysical complication. In this paper, we will show that this quasi-Russellian analysis of 'will' both lacks linguistic motivation and faces a variety of significant problems. In particular, we show that the standard arguments for Russell's treatment of definite descriptions fail to apply to statements of the form 'will(φ)'. (shrink)

Stephen Jay Gould argued that replaying the ‘tape of life’ would result in radically different evolutionary outcomes. Recently, biologists and philosophers of science have paid increasing attention to the theoretical importance of convergent evolution—the independent origination of similar biological forms and functions—which many interpret as evidence against Gould’s thesis. In this paper, we examine the evidentiary relevance of convergent evolution for the radical contingency debate. We show that under the right conditions, episodes of convergent evolution can constitute valid natural experiments (...) that support inferences regarding the deep counterfactual stability of macroevolutionary outcomes. However, we argue that proponents of convergence have problematically lumped causally heterogeneous phenomena into a single evidentiary basket, in effect treating all convergent events as if they are of equivalent theoretical import. As a result, the ‘critique from convergent evolution’ fails to engage with key claims of the radical contingency thesis. To remedy this, we develop ways to break down the heterogeneous set of convergent events based on the nature of the generalizations they support. Adopting this more nuanced approach to convergent evolution allows us to differentiate iterated evolutionary outcomes that are probably common among alternative evolutionary histories and subject to law-like generalizations, from those that do little to undermine and may even support, the Gouldian view of life. (shrink)

Philosophy strives to give us a firmer hold on our concepts. But what about their hold on us? Why place ourselves under the sway of a concept and grant it the authority to shape our thought and conduct? Another conceptualization would carry different implications. What makes one way of thinking better than another? This book develops a framework for concept appraisal. Its guiding idea is that to question the authority of concepts is to ask for reasons of a special kind: (...) reasons for concept use, which tell us which concepts to adopt, adhere to, or abandon, thereby shoring up—or undercutting—the reasons for action and belief that guide our deliberations. Traditionally, reasons for concept use have been sought either in timeless rational foundations or in concepts’ inherent virtues, such as precision and consistency. Against this, the book advances two main claims: that we find reasons for concept use in the conceptual needs we discover when we critically distance ourselves from a concept by viewing it from the autoethnographic stance; and that sometimes, concepts that conflict, or exhibit other vices such as vagueness or superficiality, are just what we need. By considering not what concepts are absolutely best, but what concepts we now need, we can reconcile ourselves to the contingency of our concepts, determine the proper place of efforts to tidy up thought, and adjudicate between competing conceptions of things—even things as contested as liberty or free will. A needs-based approach separates helpful clarification from hobbling tidy-mindedness, and authoritative definition from conceptual gerrymandering. (shrink)

Leibniz has long faced a challenge about the coherence of the distinction between necessary and contingent truths in his philosophy. In this paper, I propose and examine a new way to save genuine contingency within a Leibnizian framework. I conclude that it succeeds in formally solving the problem, but at unbearable cost. I present Leibniz’s challenge by considering God’s choice of the best possible world (Sect. 2). God necessarily exists and necessarily chooses to actualise the best possible world. The (...) actual world therefore could not be different, for if it were different it would be a distinct and inferior world and hence would not be created. In Sect. 3 I defend Leibniz from this challenge. I argue that while it is necessary for God to choose to create the best possible world, it is not necessary for any world to be the best possible. This is because the criterion for judging perfection can itself be contingent. Different criteria will judge different worlds as the best. Thus it is necessary for God to create the best, but not necessary which is the best. Distinguishing between possible worlds in Leibniz’s sense and in the modern sense allows a fuller exposition of this position. There are worries that can arise with the claim that the criterion of perfection is contingent. I consider two of the most pressing (Sect. 4). The first argues that the criterion is in God’s understanding and hence is necessary; the second alleges that a contingent criterion of perfection violates Leibniz’s cherished Principle of Sufficient Reason. These worries are well-grounded, and examining them reveals a deep incompatibility between this solution and Leibniz’s metaphysical views. I conclude that there is a real solution available, but that it is unacceptable to Leibniz or a Leibnizian. The search for a genuine solution that is genuinely Leibnizian goes on. (shrink)

A counteridentical is a counterfactual with an identity statement in the antecedent. While counteridenticals generally seem non-trivial, most semantic theories for counterfactuals, when combined with the necessity of identity and distinctness, attribute vacuous truth conditions to such counterfactuals. In light of this, one could try to save the orthodox theories either by appealing to pragmatics or by denying that the antecedents of alleged counteridenticals really contain identity claims. Or one could reject the orthodox theory of counterfactuals in favor of a (...) hyperintensional semantics that accommodates non-trivial counterpossibles. In this paper, I argue that none of these approaches can account for all the peculiar features of counteridenticals. Instead, I propose a modified version of Lewis’s counterpart theory, which rejects the necessity of identity, and show that it can explain all the peculiar features of counteridenticals in a satisfactory way. I conclude by defending the plausibility of contingent identity from objections. (shrink)

God’s Knowledge of Future Contingents. John Duns Scotus’ Explanation The article concerns John Duns Scotus’ views on the problem of God’s knowledge of future contingents, presented by Scotus in his Lectura in librum primum Sententiarumd. 39, n. 1-93. He begins his analysis of the notion of God’s knowledge concerning the future events by criticizing two theories: first, the claim that the content of the idea of a thing, possessed by God, can include contingency of this thing; second, the (...) class='Hi'>claim that eternity of God is simultaneous with the flowing time as a whole, and therefore His knowledge of future contingents is the knowledge of present contingents. Duns Scotus presents his own conception in the form of the following claims: (1) there is contingency in the reality, however, we are not able to prove it; (2) the proximate second causes are not the causes of contingency in things; (3) the main cause of contingency in reality is God, precisely His will. Thus, contingency is not an imperfection because it is produced immediately by God. The article also presents Scotus’ theory of synchronic contingency. This conception explains the possibility of God’s contingent knowledge of contingent reality. Keywords: John Duns Scotus, future contingents, God’s knowledge, free will, necessity, contingency. (shrink)

Timothy Williamson has argued for the radical conclusion that everything necessarily exists. In this paper, I assume that the conclusion of Williamson’s argument is more incredible than the denial of his premises. Under the assumption that Williamson is mistaken, I argue for the claim that there are some structured propositions which have constituents that might not have existed. If those constituents had not existed, then the propositions would have had an unfilled role; they would have been gappy. This gappy (...) propositions view allows for a plausible response to Williamson’s argument. Additionally, a slight variant of the gappy propositions view allows for plausible defense of Linguistic Ersatzism from the problem of contingent non-existents (also known as the problem of aliens). (shrink)

G.W.F. Hegel argues that a philosophy of history should engender comprehension of evil in the world. And yet some commentators have charged his philosophy with transcending mere explication by justifying the existence of these evils. In defense of his words, Hegel famously characterizes evil as a modal mismatch; namely, as the incompatibility between what is given and what ought to be the case. Unfortunately, some readers of Hegel’s grand narrative either continue to struggle with or overlook this fine distinction. Against (...) such readings, I organize my paper into three sections that speak directly to these concerns. In §1, against the concern that Hegel’s view of the “actual world” justifies suffering, it is shown that his philosophy does not endorse the merely extant world, which is a whole world apart from the actual world. In §2, I articulate the premises of Hegel’s Doppelsatz to argue that the famous slogan is not, as some commentators take it, an endorsement of “things as they are.” And in §3, I expose a category error that mistakes an epistemological claim made by Hegel about contingency as a metaphysical assertion in support of evil. Ultimately, I argue that Hegel views evil as neither actual nor necessary nor justified. (shrink)

Physicists routinely claim that the fundamental laws of physics are 'time symmetric' or 'time reversal invariant' or 'reversible'. In particular, it is claimed that the theory of quantum mechanics is time symmetric. But it is shown in this paper that the orthodox analysis suffers from a fatal conceptual error, because the logical criterion for judging the time symmetry of probabilistic theories has been incorrectly formulated. The correct criterion requires symmetry between future-directed laws and past-directed laws. This criterion is formulated (...) and proved in detail. The orthodox claim that quantum mechanics is reversible is re-evaluated. The property demonstrated in the orthodox analysis is shown to be quite distinct from time reversal invariance. The view of Satosi Watanabe that quantum mechanics is time asymmetric is verified, as well as his view that this feature does not merely show a de facto or 'contingent' asymmetry, as commonly supposed, but implies a genuine failure of time reversal invariance of the laws of quantum mechanics. The laws of quantum mechanics would be incompatible with a time-reversed version of our universe. (shrink)

Is it possible to know anything about life we have not yet encountered? We know of only one example of life: our own. Given this, many scientists are inclined to doubt that any principles of Earth’s biology will generalize to other worlds in which life might exist. Let’s call this the “N = 1 problem.” By comparison, we expect the principles of geometry, mechanics, and chemistry would generalize. Interestingly, each of these has predictable consequences when applied to biology. The surface-to-volume (...) property of geometry, for example, limits the size of unassisted cells in a given medium. This effect is real, precise, universal, and predictive. Furthermore, there are basic problems all life must solve if it is to persist, such as resistance to radiation, faithful inheritance, and energy regulation. If these universal problems have a limited set of possible solutions, some common outcomes must consistently emerge. In this chapter, I discuss the N = 1 problem, its implications, and my response (Mariscal 2014). I hold that our current knowledge of biology can justify believing certain generalizations as holding for life anywhere. Life on Earth may be our only example of life, but this is only a reason to be cautious in our approach to life in the universe, not a reason to give up altogether. In my account, a candidate biological generalization is assessed by the assumptions it makes. A claim is accepted only if its justification includes principles of evolution, but no contingent facts of life on Earth. (shrink)

We defend Uniqueness, the claim that given a body of total evidence, there is a uniquely rational doxastic state that it is rational for one to be in. Epistemic rationality doesn't give you any leeway in forming your beliefs. To this end, we bring in two metaepistemological pictures about the roles played by rational evaluations. Rational evaluative terms serve to guide our practices of deference to the opinions of others, and also to help us formulate contingency plans about what (...) to believe in various situations. We argue that Uniqueness vindicates these two roles for rational evaluations, while Permissivism clashes with them. (shrink)

In the popular press and the halls of politics, controversies over evolution are increasingly strident these days. Hegel is relevant in this connection, even though he rejected the theories of evolution he knew about, because he wanted rational understanding but without claims to intelligent design. He is reported to have said that nature has no history, but a closer examination will show that his ideaqs are more nuanced and that there is more room for darwinian ideas than one might expect, (...) though not enough to allow the full Darwinian contingency of form. (shrink)

D. M. Armstrong famously claims that deterministic laws of nature are contingent relations between universals and that his account can also be straightforwardly extended to irreducibly probabilistic laws of nature. For the most part, philosophers have neglected to scrutinize Armstrong’s account of probabilistic laws. This is surprising precisely because his own claims about probabilistic laws make it unclear just what he takes them to be. We offer three interpretations of what Armstrong-style probabilistic laws are, and argue that all three (...) interpretations are incompatible either with some feature of Armstrong’s broader metaphysics or with essential features of his account of laws (or both). (shrink)

Critics of commodification often claim that the buying and selling of some good communicates disrespect or some other inappropriate attitude. Such semiotic critiques have been leveled against markets in sex, pornography, kidneys, surrogacy, blood, and many other things. Brennan and Jaworski (2015a) have recently argued that all such objections fail. They claim that the meaning of a market transaction is a highly contingent, socially constructed fact. If allowing a market for one of these goods can improve the (...) supply, access or quality of the good, then instead of banning the market on semiotic grounds, they urge that we should revise our semiotics. In this reply, I isolate a part of the meaning of a market transaction that is not socially constructed: our market exchanges always express preferences. I then show how cogent semiotic critiques of some markets can be constructed on the basis of this fact. (shrink)

The Ockhamist claims that our ability to do otherwise is not endangered by God’s foreknowledge because facts about God’s past beliefs regarding future contingents are soft facts about the past—i.e., temporally relational facts that depend in some sense on what happens in the future. But if our freedom, given God’s foreknowledge, requires altering some fact about the past that is clearly a hard fact, then Ockhamism fails even if facts about God’s past beliefs are soft. Recent opponents of Ockhamism, including (...) David Widerker and Peter van Inwagen, have argued along precisely these lines. Their arguments, if successful, would undermine Ockhamism while avoiding the controversy over the alleged softness of facts about God’s past beliefs. But these arguments do not succeed. The past facts they rely on must be clear and uncontroversial examples of hard facts about the past, and these facts must be such that an ability to refrain from the relevant future action implies an ability to alter the relevant hard fact. We demonstrate the flaw in these arguments by showing how they rely on past facts that do not satisfy these criteria. The Ockhamist may have troubles, but this type of argument is not one of them. (shrink)

Necessity, but not possibility, is typically thought to be rare and suspicion-worthy. This manifests in an asymmetry in the burden of proof incurred by modal claims. In general, claims to the effect that some proposition is impossible/necessary require significant argumentative support and, in general, claims to the effect that some proposition is possible/contingent are thought to be justified freely or by default. Call this the possibility bias. In this paper, I argue that the possibility bias is not epistemically justified. (...) We should regard possibility with at least as much suspicion, that is to say as incurring at least as much of an explanatory demand, as necessity. In fact, I suggest that we might even be justified in reversing the burden of proof asymmetry and adopting a necessity bias. This has quite radical implications for philosophical methodology and hence for many first-order philosophical concerns. (shrink)

In his book The Moral Problem and in a recent issue of this journal, Michael Smith claims to refute any theory which construes the relationship between moral judgements and motivation as contingent and rationally optional. Smith’s argument fails. In showing how it fails, I shall make three claims. First, a concern for what is right, where this is read de dicto, does not amount to moral fetishism. Second, it is not always morally preferable to care about what is right, (...) where this is read de re. Third, the externalist can account for why a good and strong-willed person is reliably motivated in accordance with her moral judgements without appealing to a basic moral motive to do what is right, where this is read de dicto. (shrink)