Building on Goldman 2008 and 2009, which argue that objective values would be strange in coming in degrees but in no determinate number of degrees, this paper argues that related properties having to do with degrees of value make a further case against objective values. The properties of giving rise to intransitive orderings and being essentially comparative are explained by Larry Temkin in Rethinking the Good. He shows that “better than” is intransitively ordered. Many subjective states are too. But similar (...) arguments for the intransitive orderings of intrinsic objective properties fail. Furthermore, subjective properties and states can change without these changes being explained by changes in their objects. This is similar to the essentially comparative nature of goodness. Given the analogies to subjective states and lack of analogies to objective properties that the present article points out, it argues that we should infer, as Temkin does not, that values are subjective. (shrink)

Philosophy journals and conferences have recently seen several attempts to argue that 'all-things-considered better than' does not obey strict transitivity. This paper focuses on Larry Temkin's argument in "Intransitivity and the Mere Addition Paradox." Although his argument is not aimed just at utilitarians or even consequentialists in general, it is of prticular significance to consequentialists. If 'all-things-considered better than' does not obey transitivity, there may be choice situations in which there is no optimal choice, which would seem to open (...) the door to a consequentialist account of moral dilemmas. Temkin's argument crucially appeals to what he calls "the Person-Affecting Principle (PAP)", which he roughly characterizes as follows, "On PAP, one outcome is worse than another only if it affects people for the worse" This paper argues that PAP, although plausible, does not hold in precisely those situations in which it would have to hold in order for Temkin's argument against transitivity to work. (shrink)

This article addresses the question of whether the relation of moral preference is transitive. I argue, following Larry Temkin and Stuart Rachels, that any ethical theory complex enough to be even minimally plausible allows us to generate intransitive sets of preferences. Even act utilitarianism cannot avoid this predicament unless we accept its least plausible version. We must reevaluate the assumption that an ethical theory must be transitive in order to be rational. This problem amounts to a foundational crisis in ethics. (...) However, it has not been taken seriously for two reasons—the belief that the problem has limited scope; and the claim that arguments against transitivity are 'merely' Sorites arguments. This article responds to both of these objections. I also point out some connections between intransitivity and the debate surrounding skepticism about the moral significance of numbers. (shrink)

Pluralism is an appealing and now orthodox view of the sources of value. But pluralism has led to well-known difficulties for social-choice theory. Moreover, as Susan Hurley has argued, the difficulties of pluralism go even deeper. In 1954, Kenneth May suggested an intrapersonal analogue to Arrow's Impossibility Theorem. In brief, May showed that an individual's response to a plurality of values will, given certain additional assumptions, lead to intransitive preference orderings. (Daniel Kahneman and others have shown that intransitivity is (...) an empirical feature of preferences.) Hurley challenged May's additional assumptions as implausibly strong; but her work did not exclude the possibility that values may disobey the canon of rationality that insists on transitivity. John Broome has recently extended these canons to the "betterness" relation. This chapter argues that there is no good reason to be confident that values, understood as real features of the world, behave consistently with those canons. (shrink)

This paper is concerned with intransitivity in normative rational choice. It focuses on a class of intransitivities which have received little attention, those involving vague preferences. “Vague preferences” are defined in terms of vague predicates such as “red” or “bald.” Such preferences appear common, and intransitive indifference is argued to be an unavoidable feature of them. Such preferences are argued to undermine intransitive strict preference also. Various formal theories of vagueness are applied to an example of vague preferences, but (...) none of them provide a justification for the transitivity axiom. (shrink)

This paper is a pastiche of the Lacanian philosopher Renata Salecl, my fourth attempt, combined with a note. In it I present a response I anticipate from analytic philosophy to the thesis that the signifier has priority over the signified: that this thesis is either trivially true or obviously false.

Chrisoula Andreou says procrastination qua imprudent delay is modeled by Warren Quinn’s self-torturer, who supposedly has intransitive preferences that rank each indulgence in something that delays his global goals over working toward those goals and who finds it vague where best to stop indulging. His pair-wise choices to indulge result in his failing the goals, which he then regrets. This chapter argues, contra the money-pump argument, that it is not irrational to have or choose from intransitive preferences; so the agent’s (...) delays are not imprudent, not instances of procrastination. Moreover, the self-torturer case is intelligible only if there is no vagueness and if the agent’s preferences are transitive. But then he would delay only from ordinary weakness of will. And when it is vague where best to stop indulging, rational agents would use symmetry-breaking techniques; so, again, any procrastination would be explained by standard weakness of will, not vagueness. (shrink)

In "Futurc Generations: Further Problems,"‘ and Part Four of Reasons and Persons} Derek Pariit raises many perplexing questions. Although some think his ingenious arguments little more than delightful puzzles, I believe they challenge some of our deepest beliefs. In this article, I examine some of Pariit’s arguments, focusing mainly on "The Mere Addition Paradox." If my analysis is correct, Parfit’s arguments have extremely interesting and important implications that not even Pariit rcalized. In Part I, I present ParHt’s argument for the (...) Merc Addition Paradox, and show that given Pa.rHt’s assumptions, a radical conclusion seems t0 follow; the notion of "bctter th2m"—indced, even the notion of "aH things.. (shrink)

There are many examples in the literature that suggest that indistinguishability is intransitive, despite the fact that the indistinguishability relation is typically taken to be an equivalence relation (and thus transitive). It is shown that if the uncertainty perception and the question of when an agent reports that two things are indistinguishable are both carefully modeled, the problems disappear, and indistinguishability can indeed be taken to be an equivalence relation. Moreover, this model also suggests a logic of vagueness that seems (...) to solve many of the problems related to vagueness discussed in the philosophical literature. In particular, it is shown here how the logic can handle the sorites paradox. (shrink)

According to a widely held view, rationality demands that the preferences of a person be transitive. The transitivity assumption is an axiom in standard theories of rational choice. It is also prima facie very plausible. I argue here that transitivity is not a necessary condition of rationality; it is a constraint only in some cases. The argument presented here is based on the non-linearity of differential utility functions. This paper has four parts. First, I present an argument against the transitivity (...) assumption (I, II). Second, I discuss some objections; this will also bring out some features of the view defended here, like the essentially comparative nature of choice (III). Then, I discuss certain proposals that promise to avoid my conclusion (IV). Finally, I go into some implications concerning the nature of rational decision making (V). To accept some intransitivities as rational does not make our life easier; it can even lead to hard choices. However, it does not lead to skepticism about rational choice. (shrink)

In "Intrzmsitivity and thc Person-Affecting Principlc,"‘ (IPAP) Alastair Norcross attacks several key claims of my "Intransitivity and thc Merc Addition Paradox" (IMAP).2 This article suggests that N0rcross’s arguments despite: their appca1——lcavc IMAP’s claims mostly intact. Bcforc assessing N0rcross’s arguments, lct mc characterize two key notions distinguished in IMAP: an essentially comparative view of moral ideals and an intrinsic aspect view. On an essentially comparative view (ECU, different factors might bc relevant for comparing diffcrcnt alternatives regarding a given idcal. On (...) such a view, how bad a situation is regarding E1 given ideal is not an intrinsic feature of that situation. There is 110 fact of thc matter.. (shrink)

Philosophy journals and conferences have recently seen several attempts to argue that ‘all-things-considered better than’ does not obey strict transitivity. This paper focuses on Larry Temkin’s argument in “Intransitivity and the Mere Addition Paradox.” Although his argument is not aimed just at utilitarians or even consequentialists in general, it is of particular significance to consequentialists. If ‘all-things-considered better than’ does not obey transitivity, there may be choice situations in which there is no optimal choice, which would seem to open (...) the door to a consequentialist account of moral dilemmas. Temkin’s argument crucially appeals to what he calls “the Person-Affecting Principle (PAP)”. which he roughly characterizes as follows, “On PAP, one outcome is worse than another only if it affects people for the worse” This paper argues that PAP, although plausible, does not hold in precisely those situations in which it would have to hold in order for Temkin’s argument against transitivity to work. (shrink)

Larry Temkin challenged what seems to be an analytic truth about comparatives: if A is Φ-er than B and B is Φ-er than C, then, A is Φ-er than C. Ruth Chang denies a related claim: if A is Φ-er than B and C is not Φ-er than B, but is Φ to a certain degree, then A is Φ-er than C. In this paper I advance a context-sensitive semantics of gradability according to which the data uncovered by Temkin and (...) Chang leave both statements intact. (shrink)

Duties to future persons contribute critically to many important contemporaneous ethical dilemmas, such as environmental protection, contraception, abortion, and population policy. Yet this area of ethics is mired in paradoxes. It appeared that any principle for dealing with future persons encountered Kavka's paradox of future individuals, Parfit's repugnant conclusion, or an indefensible asymmetry. In 1976, Singer proposed a utilitarian solution that seemed to avoid the above trio of obstacles, but Parfit so successfully demonstrated the unacceptability of this position that Singer (...) abandoned it. Indeed, the apparently intransitivity of Singer's solution contributed to Temkin's argument that the notion of "all things considered better than" may be intransitive. In this paper, I demonstrate that a time-extended view of Singer's solution avoids the intransitivity that allows Parfit's mere addition paradox to lead to the repugnant conclusion. However, the heart of the mere addition paradox remains: the time-extended view still yields intransitive judgments. I discuss a general theory for dealing with intransitivity that was inspired by Temkin's sports analogy, and demonstrate that such a solution is more palatable than Temkin suspected. When a pair-wise comparison also requires consideration of a small number of relevant external alternatives, we can avoid intransitivity and the mere addition paradox without infinite comparisons or rejecting the Independence of Irrelevant Alternatives Principle. (shrink)

The word ?consciousness? is notoriously ambiguous. This is mainly because it is not a term of art, but a mundane word we all use quite frequently, for different purposes and in different everyday contexts. In this paper, I discuss consciousness in one specific sense of the word. To avoid the ambiguities, I introduce a term of art ? intransitive self-consciousness ? and suggest that this form of self-consciousness is an essential component of the folk notion of consciousness. I then argue (...) for a specific account of consciousness as intransitive self-consciousness. According to this account, a mental state is conscious iff it represents its own occurrence. The argument is a ?modernizing? modification of an older argument due to Aristotle and Brentano. (shrink)

According to Transitivity, if A is better than B, and B is better than C, then A is better than C. We may understand “better than” as short for any of the following: “intrinsically better than,” “all things considered better than,” “hedonically better than,” and “better for a person than.” The same puzzle arises on each interpretation. Transitivity seems entrenched in our conceptual scheme, if not analytically true; its failure implies, implausibly, that some possibilities cannot be ranked in terms of (...) value; scads of three-member sets inductively confirm it; and hypothetical money-pumpers coax its detractors out of house and home by proffering a series of trades—C for A, B for C and A for B (and then repeating the cycle)—for an endlessly accumulating price. Nevertheless, two highly plausible principles entail that Transitivity is false. (shrink)

It is a basic and intuitive assumption that the relation of moral preference must be transitive—if A is overall morally preferable to B; and B is overall morally preferably to C; then, if our views are coherent, it better be the case that A is overall morally preferable to C. However, recent work by Temkin and Rachels has undermined that assumption by showing that common-sense ethical distributive principles that we are unlikely to give up generate intransitive sets of moral preferences. (...) The consequences of this for resource allocation are profound—how can we come up with a just way of rationing limited resources if whatever course of action we adopt, there will be other alternatives that are morally preferable to it? However, regardless of the theoretical challenges, practical resource allocation decisions must be made every day! We explore an approach to dealing with some of the pragmatic aspects of the problem, even though the theoretical problem of intransitivity remains unsolved. We begin by considering whether the ways in which counterexamples to transitivity have (of necessity) been oversimplified actually contribute to the intractability of the problem by taking the possibilities of cost sharing, benefit splitting, and compensation (which are often available in real-life tradeoff situations) off the table. The proposal we end up suggesting does not rely on any assumptions or judgments about interpersonal aggregation, and so has a chance of allowing us to work around the most troubling kind of intransitivity. (shrink)

It is a basic and intuitive assumption that the relation of moral preference must be transitive—if A is overall morally preferable to B; and B is overall morally preferably to C; then, if our views are coherent, it better be the case that A is overall morally preferable to C. However, recent work by Temkin and Rachels has undermined that assumption by showing that common-sense ethical distributive principles that we are unlikely to give up generate intransitive sets of moral preferences. (...) The consequences of this for resource allocation are profound—how can we come up with a just way of rationing limited resources if whatever course of action we adopt, there will be other alternatives that are morally preferable to it? However, regardless of the theoretical challenges, practical resource allocation decisions must be made every day! We explore an approach to dealing with some of the pragmatic aspects of the problem, even though the theoretical problem of intransitivity remains unsolved. We begin by considering whether the ways in which counterexamples to transitivity have (of necessity) been oversimplified actually contribute to the intractability of the problem by taking the possibilities of cost sharing, benefit splitting, and compensation (which are often available in real-life tradeoff situations) off the table. The proposal we end up suggesting does not rely on any assumptions or judgments about interpersonal aggregation, and so has a chance of allowing us to work around the most troubling kind of intransitivity. (shrink)

Philosophers have spent a great deal of time debating whether intransitive preferences can be rational. I present a risky decision that poses a challenge for the defender of intransitivity. The defender of intransitivity faces a trilemma and must either: (i) reject the rationality of intransitive preferences, (ii) deny State-wise Dominance, or (iii) accept the bizarre verdict that you can be required to pay to relabel the tickets of a fair lottery. If we take the first horn, then we (...) have a synchronic refutation of intransitivity, an improvement on widely criticized diachronic arguments. I sketch possible responses that may rescue intransitivity and argue that each response is possible but generates an explanatory debt. I conclude by showing how the challenge here clarifies the foundations of decision theory without transitivity, conditional on some explanatory debt being payable. (shrink)

Supererogatory acts are those that lie “beyond the call of duty.” There are two standard ways to define this idea more precisely. Although the definitions are often seen as equivalent, I argue that they can diverge when options are infinite, or when there are cycles of better options; moreover, each definition is acceptable in only one case. I consider two ways out of this dilemma.

I taxonomize a half-century of examples of intransitive preferences into four structures: (i) Cycles of Negligible-Value-Differences and Missing-Values; (ii) Condorcet-Voting-Paradox Style Cycles (iii) Sen’s-Libertarian-Paradox Style Cycles; and (iv) Sorites Cycles.

I argue in this paper that the existence of sorites series of color patches – series of color patches arranged so that the patches on each end look different in color though no two adjacent patches do – shows that the relation of same phenomenal charac­ter as is not a transitive relation. I then argue that the intransitivity of same phenomenal character as conflicts with certain versions of intentionalism, the view that an experiences phenomenal character is exhausted, or fully (...) determined by its intentional content. Lastly, I consider various objections to the arguments and reply to them. (shrink)

Igor Douven establishes several new intransitivity results concerning evidential support. I add to Douven’s very instructive discussion by establishing two further intransitivity results and a transitivity result.

It is known that evidential support, on the Bayesian definition of this notion, is intransitive. According to some, however, the Bayesian definition is too weak to be materially adequate. This paper investigates whether evidential support is transitive on some plausible probabilistic strengthening of that definition. It is shown that the answer is negative. In fact, it will appear that even under conditions under which the Bayesian notion of evidential support is transitive, the most plausible candidate strengthenings are not.

A set of arguments shows that either the Repugnant Conclusion and its variants are true or the better-than relation isn't transitive. Which is it? This is the most important question in population ethics. The answer will point the way to Parfit's elusive Theory X.

doi: 10.1017/S1755020308090084, Published by Cambridge University Press 31 March 2009 in Volume 1, Number 4 of The Review of Symbolic Logic . On page 541, in the 4 th paragraph, in line 7, an error occurred. The sentence should correctly read: “For all worlds w , if there is more than one grain of sand in the pile in w , then there is still more than one grain of sand after removing one grain of sand.”.

This paper has two aims. First, it aims to provide an adverbial account of the idea of an intransitive self-consciousness and, second, it aims to argue in favor of this account. These aims both require a new framework that emerges from a critical review of Perry’s famous notion of the “unarticulated constituents” of propositional content. First, I aim to show that the idea of an intransitive self-consciousness can be phenomenologically described in an analogy with the adverbial theory of perception. In (...) an adverbial theory of perception, we do not see a blue sense-data, but we see something blue-ly, whereas in intransitive self-consciousness we are not conscious of ourselves when we undergo a conscious experience—instead, we experience something self-consciously. But what does this mean precisely? First, I take transitive self-consciousness to be the first-person operator that prefixes the content of any experience that the subject undergoes, regardless of whether or not the subject is self-referred. Further, I argue that this first-person adverbial way of entertaining a content of any experience in Perry’s revised framework fixes the subject as part of the circumstance of the evaluation of the content of her own experience. We can only evaluate whether the content is veridical of falsidical relative to the subject undergoing the experience. This is referred to here as “self-concernment without self-reference.” When I am absorbed reading a book, I do not self-represent my own experience of reading a book, let alone see myself as a constituent of the content of this experience. Even so, I experience that reading self-consciously in the precise sense that I do belong the circumstance of the evaluation of the selfless content of my experience of reading the book. The content of the experience of reading a book is simply a propositional function, true or false of myself. (shrink)

ABSTRACTThis paper strengthens Bhaskar’s case for the possibility of naturalism. Building on Bhaskar’s A Realist Theory of Science and The Possibility of Naturalism, and on more recent contributions by Douglas Porpora, it traces the evolution of Bhaskar’s concept of 'intransitive' and follows his suggestion to treat social structure as an intransitive generative mechanism analogous to the generative mechanisms of the natural sciences. It is suggested, building on Porpora, that the constitutive rules of the market are usefully regarded as generating an (...) intransitive 'basic social structure.' That this same intransitive object is reasonably regarded as continuing to exist and act under different descriptions is illustrated by citing how different scholars have approached it with different concepts and vocabularies. It expands on Bhaskar’s first example of an intransitive object of social science, the mass unemployment that provided a ‘motor’ for Keynes, and on Porpora’s examples of the causal powers of social structures. (shrink)

Identity is a transitive relation, according to all standard accounts. Necessarily, if x = y and y = z, then x = z. However, people sometimes say that two objects, x and z, are the same as a third, y, even when x and z have different properties (thus, x = y and y = z, but x ≠ z). In the present experiments, participants read stories about an iceberg that breaks into two icebergs, one to the east and the (...) other to the west. Many participants (32–54%, in baseline conditions across experiments) decided that both successors were the original iceberg, despite the different spatial locations of the successors. Experiment 1 shows that this tendency is not due to participants failing to understand both to mean both are simultaneously the original. Similarly, Experiment 2 demonstrates that the tendency is not solely due to their interpreting the question to be about properties of the icebergs rather than about the icebergs themselves. Experiments 3 and 4 suggest, instead, that participants may understand Which is the original? to mean Which, in its own right, is entitled to be the original? Emphasizing entitlement increases the number of seemingly intransitive responses, whereas emphasizing the formal properties of identity decreases them. (shrink)

This paper uses a two-dimensional version of a standard common consequence experiment to test the intransitivity explanation of Allais-paradox-type violations of expected utility theory. We compare the common consequence effect of two choice problems differing only with respect to whether alternatives are statistically correlated or independent. We framed the experiment so that intransitive preferences could explain violating behavior when alternatives are independent, but not when they are correlated. We found the same pattern of violation in the two cases. This (...) is evidence against intransitivity as an explanation of the Allais Paradox. The question whether violations of expected utility are mainly due to intransitivity or to violation of independence is important since it is exactly on this issue the main new decision theories differ. (shrink)

This paper has two aims. First, it aims to provide an adverbial account of the idea of intransitive self-consciousness and second, it aims to argue in favor of this account. These aims both require a new framework that emerges from a critical review of Perry’s famous notion of the “unarticulated constituents” of propositional content (1986). First, I aim to show that the idea of intransitive self-consciousness can be phenomenologically described in an analogy with the adverbial theory of perception. In an (...) adverbial theory of perception, we do not see a blue sense-data, but we see something blue-ly, whereas in intransitive self-consciousness, we are not conscious of ourselves when we undergo a conscious experience—instead, we experience something self-consciously. But what does this mean precisely? First, I take intransitive self-consciousness to be the first-person operator that prefixes the content of any experience that the subject undergoes, regardless of whether or not the subject is self-referred. Further, I argue that this first-person adverbial way of entertaining the content of any experience in Perry’s revised framework fixes the subject as part of the circumstance of the evaluation of the content of her own experience. We can only evaluate whether the content is veridical or falsidical relative to the subject undergoing the experience. This is referred to here as “self-concernment without self-reference.” When I am absorbed in reading a book, I do not self-represent my own experience of reading a book, let alone see myself as a constituent of the content of this experience. Even so, I experience that reading self-consciously in the precise sense that I do belong to the circumstance of the evaluation of the selfless content of my experience of reading the book. The content of the experience of reading a book is simply a propositional function, true or false of myself. (shrink)

This paper has two aims. First, it aims to provide an adverbial account of the idea of intransitive self-consciousness and second, it aims to argue in favor of this account. These aims both require a new framework that emerges from a critical review of Perry’s famous notion of the “unarticulated constituents” of propositional content (1986). First, I aim to show that the idea of intransitive self-consciousness can be phenomenologically described in an analogy with the adverbial theory of perception. In an (...) adverbial theory of perception, we do not see a blue sense-data, but we see something blue-ly, whereas in intransitive self-consciousness, we are not conscious of ourselves when we undergo a conscious experience—instead, we experience something self-consciously. But what does this mean precisely? First, I take intransitive self-consciousness to be the first-person operator that prefixes the content of any experience that the subject undergoes, regardless of whether or not the subject is self-referred. Further, I argue that this first-person adverbial way of entertaining the content of any experience in Perry’s revised framework fixes the subject as part of the circumstance of the evaluation of the content of her own experience. We can only evaluate whether the content is veridical or falsidical relative to the subject undergoing the experience. This is referred to here as “self-concernment without self-reference.” When I am absorbed in reading a book, I do not self-represent my own experience of reading a book, let alone see myself as a constituent of the content of this experience. Even so, I experience that reading self-consciously in the precise sense that I do belong to the circumstance of the evaluation of the selfless content of my experience of reading the book. The content of the experience of reading a book is simply a propositional function, true or false of myself. (shrink)

Karen Neander’s (1991a, b) Selected Effects (SE) theory of biological proper functions argues that the function of a trait is the action for which it was “caused” to be selected by natural selection. Her life’s work has already left a lasting impact, however SE theory has yet to be more properly formalized as a conceptual analysis of biological functions. Although other SE theories have sought to build upon Neander’s work (e.g., Garson, 2017), there remains an ambiguity in the theory’s use (...) of causal descriptors. For the success of her successors, delineating the function of causality for SE theory is of utmost importance. Here, I systematize Neander’s theory according to the different senses of causation inherent to it. I argue that structuring SE theory in terms of causal transitivity and intransitivity reveals that Neander’s analysis not only supersedes her detractors but likely exposes areas of vulnerability in others’ SE theory derivatives. (shrink)

In the standard money pump, an agent with cyclical preferences can avoid exploitation if he shows foresight and solves his sequential decision problem using backward induction (BI). This way out is foreclosed in a modified money pump, which has been presented in Rabinowicz (2000). There, BI will lead the agent to behave in a self-defeating way. The present paper describes another sequential decision problem of this kind, the Centipede for an Intransitive Preferrer, which in some respects is even more striking (...) than the modified pump. In the new problem, the BI reasoning that implies self-defeating behavior does not rest on the controversial robustness assumption concerning beliefs in one's future rationality. This strengthens the claim that foresight cannot save the intransitive preferrer from a self-defeating course of action. (shrink)

In their chapter, Bourmayan and Recanati discuss the intransitive use of 'eat' and cognate verbs which take (on such uses) an indefinite implicit argument. Sometimes, Recanati pointed out in early work, the implicit argument of intransitive 'eat' seems definite ; there are also seemingly anaphoric and bound uses. How to account for them ? Recanati's early account invoked free enrichment, but Marti's negation test provides counter-examples to that account. Bourmayan and Recanati offer a new, situation-theoretic account, show that it can (...) handle the negation data, and discuss the implications of the account for the Recanati-Stanley debate over for the semantics/pragmatics interface. (shrink)

In the standard money pump, an agent with cyclical preferences can avoid exploitation if he shows foresight and solves his sequential decision problem using backward induction. This way out is foreclosed in a modified money pump, which has been presented in Rabinowicz. There, BI will lead the agent to behave in a self-defeating way. The present paper describes another sequential decision problem of this kind, the Centipede for an Intransitive Preferrer, which in some respects is even more striking than the (...) modified pump. In the new problem, the BI reasoning that implies self-defeating behavior does not rest on the controversial robustness assumption concerning beliefs in one's future rationality. This strengthens the claim that foresight cannot save the intransitive preferrer from a self-defeating course of action. (shrink)