McTaggart's Argument

Philosophical views about the logical structure of time are typically divided between proponents of A and B theories, based on McTaggart's A and B series. Drawing on Paul Ricoeur's hermeneutic phenomenology, I develop and defend McTaggart's thesis that the C series and the A series working together give a consistent description of temporal experience, provided that the two series are treated as distinct dimensions internal to time. In the proposed two-dimensional model, the C series expresses a nesting order of the (...) constitutive states of a world, whereas ontological continuity and change are properties of the A series. This, I argue, allows for limited backward causation. (shrink)

The purpose of this note is to show how an 'AB-series' interpretation of time, given in a companion paper, leads, surprisingly, to AdS_5 geometry. This is not a theory of 2 time dimensions. Rather, it is a theory of 1 time dimension that has both A-series and B-series characteristics.

How can McTaggart's A-series notion of time be incorporated into physics while retaining the B-series notion? It may be the A-series 'now' can be construed as ontologically private. How is that modeled? Could a definition of a combined AB-series entropy help with the Past Hypothesis problem? What if the increase in entropy as a system goes from earlier times to later times is canceled by the decrease in entropy as a system goes from future, to present, to past?

Recent research (Latham, Miller and Norton, forthcoming) reveals that a majority of people represent actual time as dynamical. But do they, as suggested by McTaggart and Gödel, represent time as essentially dynamical? This paper distinguishes three interrelated questions. We ask (a) whether the folk representation of time is sensitive or insensitive: i.e., does what satisfies the folk representation of time in counterfactual worlds depend on what satisfies it actually—sensitive—or does is not depend on what satisfies it actually—insensitive, and (b) do (...) those who represent actual time as dynamical, represent time in all possible worlds as dynamical—what we call insensitive dynamism—or do they represent time in all possible worlds as dynamical only conditional on the actual world in fact being dynamical—what we call sensitive dynamism and (c) do dynamists and non-dynamists deploy two different representations of time, or deploy the same representation, but disagree about what actually satisfies that representation? We found no evidence that the folk representation of time is sensitive, or that the folk representation of time is essentially dynamical in either sense, though we did find evidence of a shared representation, on which dynamical features are sufficient, but not necessary, for time. (shrink)

According to Fine’s famous take on the infamous McTaggartian paradox, realism about tensed facts is incompatible with the joint acceptence of three very general and seemingly plausible theses about reality. However, Correia and Rosenkranz have recently objected that Fine’s argument depends on a crucial assumption about the nature of tensed facts; once that assumption is given up, they claim, realists can endorse the theses in question without further ado. They also argue that their novel version of tense realism, called dynamic (...) absolutism, is to be preferred over its rivals. I argue in this paper that dynamic absolutism does not constitute a genuine alternative for realists about tense. (shrink)

McTaggart, in his famous paper, “The Unreality of Time” (1908), argues in favor of the sceptical claim that time is unreal. His main argument is based on detecting a paradox in our ordinary descriptions of time or events occurring in time. Based on our common sense conception of time, time and the events happening in it can be described in two ways: either as having the properties of “being past”, “being present” and “being future”, or as having the properties of (...) “being earlier than”, “being later than”, or “being simultaneous with”. McTaggart argues that employing the second sort of properties fails to properly explain “change” in time. However, having assumed the essentiality of the first type of properties to time, McTaggart argues that these properties will themselves lead to a paradox, according to which all events are at the same time in the past, present, and future. In this essay, we are going to provide a clear exposition of McTaggart’s argument and briefly review some of the main responses to it. We will then show that McTaggart’s argument will amount to error-theory about the content of our utterances about time. We will then employ Boghossian’s argument against error-theory (1990) to show why McTaggart’s argument leads to paradoxical conclusions. (shrink)

In this paper, we articulate a version of non-standard A-theory – which we call Flow Fragmentalism – in relation to its take on the issue of supervenience of truth on being. According to the Truth Supervenes on Being (TSB) Principle, the truth of past- and future-tensed propositions supervenes, respectively, on past and future facts. Since the standard presentist denies the existence of past and future entities and facts concerning them that do not obtain in the present, she seems to lack (...) the resources to accept both past and future-tensed truths and the TSB Principle. Contrariwise, positions in philosophy of time that accept an eternalist ontology (e.g., B-theory, moving spotlight, and Fine’s and Lipman’s versions of fragmentalism) allow for a “direct” supervenience base for past- and future-tensed truths. We argue that Flow Fragmentalism constitutes a middle ground, which retains most of the advantages of both views, and allows us to articulate a novel account of the passage of time. (shrink)

According to A-theories of time, the metaphysical ground of change and dynamicity is provided by a continuous shifting in which events are past, present and future (A-determinations). It is often claimed that these theories make better sense of our experience of dynamicity than their rival, the B-theories; according to the latter, dynamicity is grounded solely in the irreducible earlier-than relations (B-relations) which obtain between events or states of affairs. In this paper, I argue that the experience of time's dynamicity, on (...) the contrary, cannot be accounted for solely in terms of representations of irreducible A-determinations, because any representation which is adequate to ground these experiences must itself involve representation of irreducible B-relations, while it needs not involve representation of A-determinations. Even if, as a matter of contingent fact, our experiences of dynamicity consisted of representations of successions of A-determinations, what would account for them being experiences of dynamicity would be solely the B-theoretic relations of succession, rather than the irrelevant A-theoretic nature of the relata. (shrink)

Fine (2005, 2006) has presented a ‘trilemma’ concerning the tense-realist idea that reality is constituted by tensed facts. According to Fine, there are only three ways out of the trilemma, consisting in what he takes to be the three main families of tense-realism: ‘presentism’, ‘(external) relativism’, and ‘fragmentalism’. Importantly, although Fine characterises tense-realism as the thesis that reality is constituted (at least in part) by tensed facts, he explicitly claims that tense realists are not committed to their fundamental existence. Recently, (...) Correia and Rosenkranz (2011, 2012) have claimed that Fine’s tripartite map of tense realism is incomplete as it misses a fourth position they call ‘dynamic absolutism’. In this paper, I will argue that dynamic absolutists are committed to the irreducible existence of tensed facts and that, for this reason, they face a similar trilemma concerning the notion of fact-content. I will thus conclude that a generalised version of Fine’s trilemma, concerning both fact-constitution and fact-content, is indeed inescapable. (shrink)

ABSTRACT This essay is a critical introduction to the second part of the special issue Time and Reality. The volume contains responses to papers appeared in the first part, as well as many original articles. The aim of this introduction is to frame these works within the general arena of the philosophy of time, highlighting a number of recurrent themes. A central theme that emerges is a difficulty in pinning down the ontological structure underlying dynamicity and passage without postulating a (...) primitive notion of transiency that is conceptually independent from the instantiation of tense properties. I argue that this has far reaching implications. (shrink)

In this paper I will present three arguments (based on the notions of constitution, metaphysical reality, and truth, respectively) with the aim of shedding some new light on the structure of Fine’s (2005, 2006) ‘McTaggartian’ arguments against the reality of tense. Along the way, I will also (i) draw a novel map of the main realist positions about tense, (ii) unearth a previously unnoticed but potentially interesting form of external relativism (which I will label ‘hyper-presentism’) and (iii) sketch a novel (...) interpretation of Fine’s fragmentalism (which I contrast with Lipman’s 2015, 2016b, forthcoming). (shrink)

In light of the Special Theory of Relativity and the Minkowski creation of ‘spacetime’, the universe is taken to be a four-dimensional entity which postulates bodies as existing within a temporally extended reality. The Special Theory of Relativity’s implications liken the nature of the universe to a ‘block’ within which all events coexist equally in spacetime. Such a view strikes against the very essence of presentism, which holds that all that exists is the instantaneous state of objects in the present (...) moment. With respect to the present moment, events have a clear division into the past or future, however such regions do not exist in reality and the universe is a three-dimensional entity. The consequences of a four-dimensional universe are disturbing to say the least for our everyday human experience, with once objective facts about reality becoming dependent upon an observer’s relative motion and the debate over the extent of true free will in a Block Universe. This paper will look at arguments which seek to rescue the presentist view in light of Special Relativity so such four-dimensionalist implications do not have to be accepted. Two approaches will be considered. The first accepts that presentism is incompatible with Special Relativity, and seeks to show that the theory is ultimately false. The second holds that it is the Block Universe interpretation of Special Relativity that is wrong, and a version of presentism can be reconciled with Special Relativity. The paper will expound and critically examine both of these approaches to review whether the case for the three-dimensionalist and a fundamental passage of time can be made. (shrink)

In this paper, I study one aspect of the philosophical encounter between Spinoza and Hegel: the question of the reality of time. The precise reconstruction of the debate will require a close examination of Spinoza's concept of tempus (time) and duratio (duration), and Hegel's understanding of these notions. Following a presentation of Hegel's perception of Spinoza as a modern Eleatic, who denies the reality of time, change and plurality, I turn, in the second part, to look closely at Spinoza's text (...) and show that Hegel was wrong in reading Spinoza as denying the reality of duration and change. Ironically, Hegel's misreading of Spinoza as denying the reality of duration and change has been compensated for by a reading of Hegel as denying the reality of time by one of Hegel's most prominent followers, John Ellis McTaggart. I discuss McTaggart's reading of Hegel's Logic in the final part of the paper. (shrink)

John Ellis McTaggart defended an idealistic view of time in the tradition of Hegel and Bradley. His famous paper makes two independent claims (McTaggart1908): First, time is a complex conception with two different logical roots. Second, time is unreal. To reject the second claim seems to commit to the first one, i.e., to a pluralistic account of time. We compare McTaggarts views to the most important concepts of time investigated in physics, neurobiology, and philosophical phenomenology. They indicate that a unique, (...) reductionist account of time is far from being plausible, even though too many conceptions of time may seem unsatisfactory from an ontological point of view. (shrink)

I offer an interpretation and a partial defense of Kit Fine's ‘Argument from Passage’, which is situated within his reconstruction of McTaggart's paradox. Fine argues that existing A-theoretic approaches to passage are no more dynamic, i.e. capture passage no better, than the B-theory. I argue that this comparative claim is correct. Our intuitive picture of passage, which inclines us towards A-theories, suggests more than coherent A-theories can deliver. In Finean terms, the picture requires not only Realism about tensed facts, but (...) also Neutrality, i.e. the tensed facts not being ‘oriented towards’ one privileged time. However unlike Fine, and unlike others who advance McTaggartian arguments, I take McTaggart's paradox to indicate neither the need for a more dynamic theory of passage nor that time does not pass. A more dynamic theory is not to be had: Fine's ‘non-standard realism’ amounts to no more than a conceptual gesture. But instead of concluding that time does not pass, we should conclude that theories of passage cannot deliver the dynamicity of our intuitive picture. For this reason, a B-theoretic account of passage that simply identifies passage with the succession of times is a serious contender. (shrink)

The project of my dissertation was to advance the metaphysical debate about temporal passage, by relating it to debates about the perceptual experience of time and change. It seems true that we experience temporal passage, even if there is disagreement whether time actually passes, or what temporal passage consists in. This appears to give the defender of dynamic time an advantage in accounting for our experience. I challenge this by arguing that no major account of temporal perception can accommodate experiences (...) of temporal passage such that we could infer passage from them. This shows that static theories of time are at no disadvantage in accounting for the phenomenology of temporality. The conclusion has far reaching consequences: for instance, an important motivation for holding an A-theory of time is precisely the psychological intuition that we experience temporal passage. By undermining that intuition, I undermine the motivation for holding an A-theory. (shrink)

In this paper, I show how a solution to Lewis’ problem of temporary intrinsics is also a response to McTaggart’s argument that the A-series is incoherent. There are three strategies Lewis considers for solving the problem of temporary intrinsics: perdurantism, presentism, and property-indexing. William Lane Craig (Analysis 58(2):122–127, 1998) has examined how the three strategies fare with respect to McTaggart’s argument. The only viable solution Lewis considers to the problem of temporary intrinsics that also succeeds against McTaggart, Craig claims, is (...) presentism. This gives us prima facie reason to be presentists. But there is a strategy Craig does not consider-indexing, or relativizing, the copula. In this paper, I show that to the degree that indexing the copula solves the problem of temporary intrinsics, it also shows the invalidity of McTaggart’s argument. The upshot: the copula-indexer needn’t affirm the unreality of time, nor need she embrace presentism. (shrink)

It is common, even among the laity, the doubt about the reality of time. We think it is possible that time is an illusion and that the perception of his passage is just awareness of something other than time. There are a number of arguments made by philosophers, both to defend and to attack the intuition that time is real. One of them, and perhaps the best known, is the argument of McTaggart, which tries to establish some condition for the (...) existence of time and that time, thought through that condition and applied to reality, leads to a contradiction, which makes him conclude that time can not exist, and therefore does not exist. What I intend in this article is to present the argument of McTaggart along with some original and non-original objections, and try to show that if we accept the Prior’s approach of the flow of time, the cogency of the argument of McTaggart is lost. (shrink)

Os presentistas nos dizem que os únicos objetos percorridos pelos quantificadoresde escopo mais amplo são aqueles que existem no presente, o que leva seus críticos aperguntarem o que torna verdadeiros os enunciados sobre o passado, como “Sócrates foi umfilósofo”. Em defesa do presentismo, e seguindo a proposta de Fiocco (2007), argumentamosque o que torna verdadeiro um enunciado sobre o passado é uma proposição, que proposiçõesnão existem no tempo, e que nada na teoria presentista compromete seus defensores com atese de que (...) o que não existe no tempo não existe. (shrink)

Human beings seem to capture time and the temporal properties of events and things in thought by having beliefs usually expressed with statements using tense, or notions such as ‘now’, ‘past’ or ‘future’. Tensed beliefs like these seem indispensable for correct reasoning and timely action. For instance, my belief that my root canal is over seems inexpressible with a statement that does not use tense or a temporal indexical. However, the dominant view on the nature of time is that it (...) forms, with space, a four-dimensional continuum where time does not encompass private perspectives or an absolute, fixed present. This ‘tenseless’ theory of time encounters a challenge in integrating tensed belief, because it cannot easily explain what constitutes a tensed belief in a tenseless world and how such a belief works inside our cognitive network to bring about the actions it does. Providing such an account is the main goal of this dissertation. -/- I argue here that the correct way to proceed would be to utilize philosophical theories dealing with indexicality, as the puzzling features of tensed belief are shared with beliefs expressed by first-person or spatial indexicals. In chapters II and III I expand the dominant theories about indexicality (Lewis, Perry, Kaplan) and apply them to tensed belief. I show that each is in certain respects incomplete or inadequate. -/- My preferred account critiques the preceding theories as mis-attributing the indexicality involved to a fully conceptual element in the way people think about time. I argue that we should instead connect tensed belief to not fully conceptual elements thought. For support I turn to work in perceptual psychology that connects beliefs about space to perceptions of spatial features. In chapter IV I develop an analogous argument about temporal thought and discuss how mental representations involved in perceptions are constitutively related to the formation and preservation of tensed beliefs. Combining this story with a tenseless theory of time should give us a complete, metaphysically uncontroversial, account of the way a tensed belief functions in reasoning and produces timely action. (shrink)

McTaggart’s theory of time is the locus classicus of the contemporary philosophy of time. However, despite its prominence, there is little agreement as to what the theory actually amounts. In this paper, it is first argued that, contrary to the received opinion, McTaggart’s A-time/B-time distinction is not a distinction between static and fluid temporal series. Rather, it is a certain distinction between two types of static temporal series. It is then shown that in his temporal transience paradox, McTaggart employs these (...) two distinct notions of temporal series. The paper is concluded with the claim that McTaggart's temporal transience paradox is best understood not as a contradiction, but as a dilemma both horns of which are unsatisfactory. (shrink)

J. McTaggart argues that the philosophical conception of time is constituted by the notions of fluid and static time. Since, on his view, neither notion is philosophically viable, he concludes that time is nothing but an illusion that arises from our distorted perception of essentially atemporal reality. In the paper, I argue that despite McTaggart’s failure to prove the unreality of time as such, he does succeed in establishing his lesser claim that the concept of fluid time is without any (...) ontological import whatsoever. (shrink)

Since J. McTaggart’s paper on “The Unreality of Time” the opposition of “A-theorists” and “B-theorists” establishes a focal point in the modern debate on the metaphysics of time: While “A-theorists” claim the existence of an objective present, moving along time positions, “B-theorists” maintain that time is just a set of ontologically equivalent coordinates, “now” being merely the indexical of the speaker’s position. Contemporary attempts to resolve the issue by resorting to the analysis of language or to the theory of science (...) seem to deliver no definite results. By contrast, practical and existential aspects of the two models promise to be more univocal guides in deciding between them. Particularly, C. D. Broad’s hybrid conception of a “growing block theory” attains special attractiveness in this regard. (shrink)

This paper delves into McTaggart’s metaphysical account of reality without time, and compares and contrasts McTaggart’s account with the account of reality given by modern physics. This comparison is of interest, because there are suggestions from contemporary physics that there is no time at the fundamental level. Physicists and philosophers of physics recognize that we do not have a good understanding of how the world could be such that time is unreal. I argue that, from the perspective of one who (...) is trying to understand modern physics, McTaggart’s metaphysical views do provide some insight into how reality can be timeless at the fundamental level, but the insight that they provide is limited. (shrink)

The thesis revolves around the following questions. What is time? Is time tensed or tenseless? Do things endure or perdure, i.e. do things persist by being wholly present at many times, or do they persist by having temporal parts? Do causes bring their effects into existence, or are they only correlated with each other? Within a realist approach to metaphysics, the author claims that the tensed view of time, the endurance view of persistence, and the production view of causality naturally (...) combine into what is called the dynamic view of temporal reality, and that the tenseless view of time, the perdurance view of persistence, and the correlation view of causality naturally combine into what is called the static view of temporal reality. The author argues in favour of a dynamic view. During the discussion a number of metaphysical problems are addressed. First, it is argued that the charges that the dynamic view is contradictory, made by J.M.E. McTaggart and David Lewis, are viciously circular. Secondly, it is argued that the static view cannot account for change, and deprives metaphysics of essential means to provide natural explanations to empirical phenomena. Thirdly, the author presents a novel account of the nature of necessary causal production. He suggests that the traditional conception of causes as essentially being external to the effects should be abandoned, and that causal production instead should be explicated in terms of reciprocal interactions between coexistent substances. (shrink)

I discuss the general form of arguments that profess to prove that the view that things endure in tensed time through causally produced change (the dynamic view) must be false because it involves contradictions. I argue that these arguments implicitly presuppose what has been called the temporal parity thesis, i.e. that all moments of time are equally existent and real, and that this thesis must be understood as the denial of the dynamic view. When this implicit premise is made explicit, (...) the arguments turn out to be either circular, they presuppose what they profess to prove, or mere demonstrations of the fact that the dynamic view is incompatible with its own negation. Furthermore, I discuss the metaphysical consequences of accepting the temporal parity thesis, arguing that it deprives us of the means to provide natural explanations to empirical phenomena. (shrink)

I sitt berömda bevis för tidens overklighet påstod McTaggart att det sätt händelser tycks skifta position i tiden från framtid till nutid och till förfluten tid, innebär en motsägelse. Vad McTaggart egentligen menade har varit föremål för en livlig debatt ända sedan beviset först publicerades 1908. Beviset består av två delar. I den första argumenterar McTaggart för att ingenting kan förändras förutom genom att övergå från framtid till förfluten tid. I den andra argumenterar han för att en sådan övergång innebär (...) en motsägelse och att det därför inte kan finnas någon förändring överhuvudtaget, vilket i sin tur innebär att det heller inte finns någon tid. De flesta filosofer är i dag eniga om att McTaggart har fel, men oeniga om på vilket sätt han har fel. Olika filosofer förkastar olika delar av beviset, beroende på om de har vad som kallas en A- eller B-uppfattning av tiden. De som har en A-uppfattning förnekar att tid förstådd som övergång från framtid till förfluten tid är motsägelsefull. De som har en B-uppfattning förnekar att en övergång från framtid till förfluten tid är nödvändig för förändring, men håller med om att sådan övergång är motsägelsefull. Det är min uppfattning att denna oenighet beror på att McTaggarts argument från första början blivit missuppfattat, av både A- och B-teoretiker. Av någon anledning har det alltid betraktats som ett självständigt argument, ett som är oberoende av det ontologiska system McTaggart förespråkade. Jag föreslår ett nytt sätt att förstå hur han menade att tiden är motsägelsefull. Ett sätt som tar hans ontologiska system som utgångspunkt. (shrink)

McTaggart's argument for the unreality of time is generally believed to be a self-contained argument independent of McTaggart's idealist ontology. I argue that this is mistaken. It is really a demonstration of a contradiction in the appearance of time, on the basis of certain a priori ontological axioms, in particular the thesis that all times exist in parity. When understood in this way, the argument is neither obscure or unfounded, but arguably does not address those versions of the A-theory that (...) deny that all times exist in parity. (shrink)

I believe that time passes. In the last one hundred years or so, many philosophers have rejected this view. Those who have done so have generally been motivated by at least one of three different arguments: (i) McTaggart's argument, (ii) an argument from the theory of relativity, and (iii) an argument concerning the alleged incoherence of talk about the rate of the passage of time. There has been a great deal of literature on McTaggart's argument (although no concensus has been (...) reached).1 There has been a relatively small amount of literature on the argument from the theory of relativity, but this is perhaps not surprising, since most of us philosophers don't understand that theory.2 Meanwhile, there has not been a great deal of literature on the rate of passage argument, and this is surprising, I think, considering that the argument is easy to.. (shrink)

Much debate in contemporary metaphysics of time has centred on whether or not tense is essential to the understanding of a temporal reality. The rival positions in this debate are associated with two very different pictures of the relationship between time and existence. Those who argue for the dispensability of tense see the phenomenon of tense as an epistemological accretion which infects our perception of the world but is in no way essential to a complete description of reality. With respect (...) to existence, things past and future are supposed to be on an equal footing with things present. Thus the Quinean ‘time slice’ ontology, which sees the world as a four-dimensional entity in space-time, repudiates any ontological significance to the differences between past, present and future. For the Quinean, what differences we see between past, present and future existents pertain to our limited mode of access to reality. In a perception which grasped the world as it really is tense differences would have no place. In this respect the Quinean position resembles Spinoza's claim in the Ethics that in so far as the mind conceives a thing under the dictates of reason it is affected equally, whether the idea be of a thing future, past or present. (shrink)

The motivation comes from the analogy (equivalence?) of the A-series to ontologically private qualia in Dualism. This leads to the proposal that two quantum systems, no matter how small, mutually observe each other when and only when they come to share the same A-series. McTaggart's A-series and B-series can be varied independently so they cannot be the same temporal variable.

The intention of this critical review of McTaggart’s 1908 paper is to bring about a distinction between Time and Motion . This distinction is crucial to our understanding of both time as well as motion because so far they have ben treated by all as one and the same. McTaggart, by at least recognizing two different “series” which he calls the A-series and the B-series, has given us a starting point to further understand this distinction. In the process of establishing (...) this distinction we will find ourselves encountering new concepts hitherto unrecognized in philosophy and physics and eventually understand the basis of the numerous paradoxes that time and motion involve dating all the way back to Zeno. (shrink)