This introductory article describes the phenomena of incommensurability and incomparability, how they are related, and why they are important. Since incomparability is the more significant phenomenon, the paper takes that as its focus. It gives a detailed account of what incomparability is, investigates the relation between the incomparability of values and the incomparability of alternatives for choice, distinguishes incomparability from the related phenomena of parity, indeterminacy, and noncomparability, and, finally, defends a view about practical justification that vindicates the importance (...) of incomparability — assuming it exists — for practical reason. (shrink)

Kuhn's alleged taxonomic interpretation of incommensurability is grounded on an ill defined notion of untranslatability and is hence radically incomplete. To supplement it, I reconstruct Kuhn's taxonomic interpretation on the basis of a logical-semantic theory of taxonomy, a semantic theory of truth-value, and a truth-value conditional theory of cross-language communication. According to the reconstruction, two scientific languages are incommensurable when core sentences of one language, which have truth values when considered within its own context, lack truth values when considered (...) within the context of the other due to the unmatchable taxonomic structures underlying them. So constructed, Kuhn's mature interpretation of incommensurability does not depend upon the notion of truth-preserving translatability, but rather depends on the notion of truth-value-status-preserving cross-language communication. The reconstruction makes Kuhn's notion of incommensurability a well grounded, tenable and integrated notion.Author Keywords: Incommensurability; Thomas Kuhn; Taxonomic structures; Lexicons; Truth-value; Untranslatability; Cross-language communication. (shrink)

This encyclopedia entry urges what it takes to be correctives to common (mis)understandings concerning the phenomenon of incommensurability and incomparability and briefly outlines some of their philosophical upshots.

Incommensurability may be regarded as driving specialisation, on the one hand, and as posing some problems to interdisciplinarity, on the other hand. It may be argued, however, that incommensurability plays no role in either specialisation or interdisciplinarity. Scientific specialties could be defined as simply 'different' (that is, about different things), rather than 'incommensurable' (that is, competing for the explanation of the same phenomena). Interdisciplinarity could be viewed as the co- ordinated effort of scientists possessing complemetary and interlocking skills, (...) and not as the overcoming of some sort of incommensurable divide. This article provides a comprehensive evaluative examination of the relations between specialisation, interdisciplinarity, and incommensurability. Its aim is to defend the relevance of incommensurability to both specialisation and interdisciplinarity. At the same time, it aims at correcting the tendency, common among many philosophers, to regard incommensurability in a restrictive manner - such as, for example, as an almost purely semantic issue. (shrink)

I criticize Kuhn’s (1962/1970) taxonomic incommensurability thesis as follows. (i) His argument for it is neither deductively sound nor inductively correct. (ii) It clashes with his account of scientific development that employs evolutionary theory. (iii) Even if two successive paradigms are taxonomically incommensurable, they have some overlapping theoretical claims, as selectivists point out. (iv) Since scientific revolutions were rare in the recent past, as historical optimists observe, they will also be rare in the future. Where scientific revolution is rare, (...) taxonomic incommensurability is rare, and taxonomic commensurability is common. For these reasons, taxonomic commensurability rather than incommensurability should be advanced as an image of science. (shrink)

Attempting to compare scientific theories requires a philosophical model of meaning. Yet different scientific theories have at times—particularly in early chemistry—pre-supposed disparate theories of meaning. When two theories of meaning are incommensurable, we must say that the scientific theories that rely upon them are meta-incommensurable. Meta- incommensurability is a more profound sceptical threat to science since, unlike first-order incommensurability, it implies complete incomparability.

Recently, some of the leading proponents of the view that there is widespread incommensurability among goods have suggested that the incommensurability of some goods is a constitutive feature of the goods themselves. So, for example, a friendship and a million dollars are incommensurable because it is part of what it is to be a friendship that it be incommensurable with money. According to these ‘constitutive incommensurabilists’ incommensurability follows from the very nature of certain goods. In this paper, (...) I examine this idea and argue that constitutive incommensurabilists have mistaken for constitutive incommensurability a particular emphatic kind of comparability. This examination involves an account of ‘higher’ and ‘lower’ goods and an explanation of how goods of different ‘types’ figure in practical conflict. (shrink)

In this paper, I argue that there is neither valid deductive support nor strong inductive support for Kuhn’s incommensurability thesis. There is no valid deductive support for Kuhn’s incommensurability thesis because, from the fact that the reference of the same kind terms changes or discontinues from one theoretical framework to another, it does not necessarily follow that these two theoretical frameworks are taxonomically incommensurable. There is no strong inductive support for Kuhn’s incommensurability thesis, since there are rebutting (...) defeaters against it in the form of episodes from the history of science that do not exhibit discontinuity and replacement, as Kuhn’s incommensurability thesis predicts, but rather continuity and supplementation. If this is correct, then there are no compelling epistemic reasons to believe that Kuhn’s incommensurability thesis is true or probable. (shrink)

The paper explores the relativistic implications of the thesis of incommensurability. A semantic form of incommensurability due to semantic variation between theories is distinguished from a methodological form due to variation in methodological standards between theories. Two responses to the thesis of semantic incommensurability are dealt with: the first challenges the idea of untranslatability to which semantic incommensurability gives rise; the second holds that relations of referential continuity eliminate semantic incommensurability. It is then argued that (...) methodological incommensurability poses little risk to the rationality or objectivity of science. For rational theory choice need neither be dictated by an algorithm nor governed by a binding set of rules. The upshot of the discussion is deflationary. There is little prospect for a relativistic conception of science based on inflated claims about the incommensurability of scientific theories. (shrink)

This is a comment on Lena Soler's 'The Incommensurability of Experimental Practices'.

Two options are ‘incommensurate’ when neither is better than the other, but they are not equally good. Typically, we will say that one option is better in some ways, and the other in others, but neither is better ‘all things considered’. It is tempting to think that incommensurability is vagueness—that it is indeterminate which is better—but this ‘vagueness view’ of incommensurability has not proven popular. I set out the vagueness view and its implications in more detail, and argue (...) that it can explain most of the puzzling features of incommensurability. This argument proceeds without appeal to John Broome’s ‘collapsing principle’. (shrink)

According to the received translational interpretation of incommensurability, incommensurability is viewed as untranslatability due to radical variance of meaning or reference of the terms in two competing scientific languages. The author argues that the translational approach to incommensurability does not effectively clarify the concept of incommensurability. Since it cannot provide us with tenable, integrated concept of incommensurability, it should be rejected.

This is a short introductory discussion of the idea of incommensurability as it is used in the philosophy of science.

Scientists working within a paradigm must play by the rules of the game of that paradigm in solving problems, and that is why incommensurability arises when the rules of the game change. If we deny the thesis of the priority of paradigms, then there is no good argument for the incommensurability of theories and thus for taxonomic incommensurability, because there is no invariant way to determine the set of results provable, puzzles solvable, and propositions cogently formulable under (...) a given paradigm. (shrink)

Opening remarks delivered at "Incommensurability (and related matters)" conference, Hanover, June 1999.

I reply to James Marcum’s “What’s the Support for Kuhn’s Incommensurability Thesis? A Response to Mizrahi and Patton”.

Against the received translation-failure interpretation, this book presents a presuppositional interpretation of incommensurability, that is, the thesis of incommensurability as cross-language communication breakdown due to the incompatible metaphysical presuppositions underlying two competing presuppositional languages, such as scientific languages. This semantically sound, epistemologically well-established, and metaphysically profound interpretation not only affirms the tenability of the notion of incommensurability and confirms the reality of the phenomenon of incommensurability, but also makes some significant contributions to the discussion of many (...) related issues, such as the notion of conceptual schemes, the notion of truth-value status and truth-value conditions, and the issue of cross-language understanding and communication. (shrink)

According to the accepted translation-failure interpretation, the problem of incommensurability involves the nature of the meaning-referential relation between scientific languages. The incommensurability thesis is that some competing scientific languages are mutually untranslatable due to the radical variance of meaning or/and reference of the terms they employ. I argue that this interpretation faces many difficulties and cannot give us a tenable, coherent, and integrated notion of incommensurability. It has to be rejected. ;On the basis of two case studies, (...) I find that the confrontations between many classical incommensurable languages are not confrontations between two untranslatable languages with different distribution of truth values, but rather the confrontations between incompatible fundamental presuppositions at the ontological level. We can always identify a truth-value gap between two incommensurable languages. Such a truth-value gap indicates a communication breakdown between the two language communities on the one hand, and is caused by the incompatible fundamental presuppositions underlying them on the other. ;I thereby identify the truth-value functional relationship between sentences, instead of the meaning-referential relationship between terms, as the dominant semantic relation between two incommensurable languages. According to my presuppositional interpretation of incommensurability, the real secret of incommensurability lies in the ontological setup of two competing presuppositional languages. When two presuppositional languages with incompatible factual commitments encounter with each other, the confrontation leads to a truth-value gap, and consequently a communication breakdown between them. Formally put, two scientific languages are incommensurable when core sentences of one language, which have truth values when considered within its own context, lack truth values when considered within the context of the other due to an ontological gap between them. ;The presuppositional interpretation makes many significant contributions to the discussion of the issue of incommensurability and the related metaphysical and epistemological issues: It confirms the existence of the phenomenon of incommensurability and makes it metaphysically and epistemologically significant. It establishes the tenability and integrity of the notion of incommensurability. It avoids many alleged unattractive epistemological and metaphysical consequences of the translation-failure interpretation. (shrink)

Comparative philosophy between two disparate cultural-philosophic traditions, such as Western and Chinese philosophy, has become a new trend of philosophical fashion in the late twentieth and early twenty-first centuries. Having learned from the past, contemporary comparative philosophers cautiously safeguard their comparative studies against two potential pitfalls, namely cultural universalism and cultural relativism. The Orientalism that assumed the superiority of the Occidental has become a memory of the past. The historical pendulum has apparently swung to the other extreme. The more recent (...) "reverse Orientalism" has started to reclaim the superiority of the Oriental. We have even been told that the twenty-first... (shrink)

If the term "relativism" is understood as relativists take it, everyone is a relativist. If, on the other hand, one understands "relativism" as absolutists do, no one really could consistently be a relativist, despite what they might think. As I hope to show, however, much of this positioning of persons and philosophies is foolish. It misses much that is important in philosophical discussion and focuses attention in directions that lead to dead ends.

The incommensurability thesis is the thesis that the content of some alternative scientific theories is incomparable due to translation failure between the vocabulary the theories employ. This paper presents an overview of the main issues which have arisen in the debate about incommensurability. It also briefly outlines a response to the thesis based on a modified causal theory of reference which allows change of reference subsequent to initial baptism, as well as a role to description in the determination (...) of reference. On such a view. the content of theories may be compared on the basis of shared reference, despite failure of translation. Two recent developments involving the incomnensurability thesis are also examined: (i) the taxonomic version of the incomensurability thesis found in Kuhn’s later writings. (ii) Hoyningen-Huenc’s neo-Kantian interpretation of Kuhn’s metaphysics. (shrink)

The paper briefly reviews the main formulations of the incommensurability thesis by Feyerabend and Kuhn, as well as the main criticisms leveled against it. The question is then raised of whether there is a "phenomenon" of incommensurability that has been "discovered". It is argued that there is no such phenomenon.

Some theorists believe that there is a plurality of values, and that in many circumstances these values are incommensurable, or at least incomparable. Others believe that all values are reducible to a single super-value, or that even if there is a plurality of irreducible values these values are commensurable. But I will argue that both sides have got it wrong. Values are neither commensurable nor incommensurable, at least not in the way most people think. We are free to believe in (...) incommensurability or not, depending on what particular conception of morality we want to embrace. Incommensurability is accordingly not a theory about value. It is a presupposition that provides a necessary background condition for a certain kind of value to exist. It is therefore not the kind of view that can be morally true or false. As a presupposition, it can only be accepted or rejected on grounds that do not presuppose that morality already exists. Incommensurability is, like the rejection of hard determinism, one of the presuppositions on which morality as we know it happens to be based. (shrink)

An apparent incommensurability of two leading gravitational paradigms (metric and nonmetric) is considered. It is conjectured that the application of neutral language of A.P. Lightman, D.L. Lee and Kip S. Thorne (“The Foundation of Theory of Gravitational Theories”. Phys. Rev. D 1973, vol.7, pp.3563-3572) can help to solve the theory –choice problem in principle. Key words: neutral language, theory choice, gravity.

review of Ruth Chang's collection in which I argue that the apparent agreements between the authors disguise underlying important differences.

This paper is the introduction to the volume. It gives an argumentative view of the philosophical landscape concerning incommensurability and incomparability. It argues that incomparability, not incommensurability, is the important phenomenon on which philosophers should be focusing and that the arguments for the existence of incomparability are so far not compelling.

This article explores the main similarities and differences between Derek Parfit’s notion of imprecise comparability and a related notion I have proposed of parity. I argue that the main difference between imprecise comparability and parity can be understood by reference to ‘the standard view’. The standard view claims that 1) differences between cardinally ranked items can always be measured by a scale of units of the relevant value, and 2) all rankings proceed in terms of the trichotomy of ‘better than’, (...) ‘worse than’, and ‘equally good’. Imprecise comparability, which can be understood in terms of the more familiar notions of cardinality and incommensurability, rejects only the first claim while parity rejects both claims of the standard view. -/- I then argue that insofar as those attracted to imprecise comparability assume that all rankings are trichotomous, as Parfit appears to, the view should be rejected. This is because imprecise equality is not a form of equality but is a sui generis ‘fourth’ basic way in which items can be ranked. We should, I argue, understand imprecise equality as parity, and imprecise comparability as entailing ‘tetrachotomy’ – that if two items are comparable, one must better than, worse than, equal to, or on a par with the other. Thus those attracted to the idea that cardinality can be imprecise should abandon trichotomy and accept parity and tetrachotomy instead. -/- Finally, I illustrate the difference between Parfit’s trichotomous notion of imprecise comparability and parity by examining how each notion might be employed in different solutions to the problem posed by the Repugnant Conclusion in population ethics. I suggest that parity provides the arguably more ecumenical solution to the problem. (shrink)

John Broome has argued that value incommensurability is vagueness, by appeal to a controversial about comparative indeterminacy. I offer a new counterexample to the collapsing principle. That principle allows us to derive an outright contradiction from the claim that some object is a borderline case of some predicate. But if there are no borderline cases, then the principle is empty. The collapsing principle is either false or empty.

We argue that a semantics for counterfactual conditionals in terms of comparative overall similarity faces a formal limitation due to Arrow’s impossibility theorem from social choice theory. According to Lewis’s account, the truth-conditions for counterfactual conditionals are given in terms of the comparative overall similarity between possible worlds, which is in turn determined by various aspects of similarity between possible worlds. We argue that a function from aspects of similarity to overall similarity should satisfy certain plausible constraints while Arrow’s impossibility (...) theorem rules out that such a function satisfies all the constraints simultaneously. We argue that a way out of this impasse is to represent aspectual similarity in terms of ranking functions instead of representing it in a purely ordinal fashion. Further, we argue against the claim that the determination of overall similarity by aspects of similarity faces a difficulty in addition to the Arrovian limitation, namely the incommensurability of different aspects of similarity. The phenomena that have been cited as evidence for such incommensurability are best explained by ordinary vagueness. (shrink)

Incommensurability was Kuhn’s worst mistake. If it is to be found anywhere in science, it would be in physics. But revolutions in theoretical physics all embody theoretical unification. Far from obliterating the idea that there is a persisting theoretical idea in physics, revolutions do just the opposite: they all actually exemplify the persisting idea of underlying unity. Furthermore, persistent acceptance of unifying theories in physics when empirically more successful disunified rivals can always be concocted means that physics makes a (...) persistent implicit assumption concerning unity. To put it in Kuhnian terms, underlying unity is a paradigm for paradigms. We need a conception of science which represents problematic assumptions concerning the physical comprehensibility and knowability of the universe in the form of a hierarchy, these assumptions becoming less and less substantial and more and more such that their truth is required for science, or the pursuit of knowledge, to be possible at all, as one goes up the hierarchy. This hierarchical conception of science has important Kuhnian features, but also differs dramatically from the view Kuhn expounds in his The Structure of Scientific Revolutions. In this paper, I compare and contrast these two views in a much more detailed way than has been done hitherto. I show how the hierarchical view can be construed to emerge from Kuhn’s view as it is modified to overcome objections. I argue that the hierarchical conception of science is to be preferred to Kuhn’s view. (shrink)

The essentially comparative conception of value entails that the value of a state of affairs does not depend solely upon features intrinsic to the state of affairs, but also upon extrinsic features, such as the set of feasible alternatives. It has been argued that this conception of value gives us reason to abandon the transitivity of the better than relation. This paper shows that the support for intransitivity derived from this conception of value is very limited. On its most plausible (...) interpretations, it merely provides a necessary, but not sufficient, condition for intransitivity. It is further argued that the essentially comparative conception of value appears to support a disjunctive conclusion: there is incommensurability of value or betterness is not transitive. Of these two alternatives, incommensurability is preferable, because it is far less threatening to our other axiological commitments. (shrink)

The aim of this chapter is to explore the relationship between Kuhn’s views about science and scientific realism. I present an overview of key features of Kuhn’s model of scientific change. The model suggests a relativistic approach to the methods of science. I bring out a conflict between this relativistic approach and a realist approach to the norms of method. I next consider the question of progress and truth. Kuhn’s model is a problem-solving model that proceeds by way of puzzles (...) and anomalies rather than progress toward truth. I explore Kuhn’s views about scientific progress in connection with scientific realist views about truth and progress. This leads to consideration of Kuhn’s views about the incommensurability of paradigms, as well as brief consideration of an anti-realist interpretation of his talk of world-change. I conclude by indicating that the scientific realist may endorse some aspects of Kuhn’s view. (shrink)

One of the objections against the thesis of underdetermination of theories by observations is that it is unintelligible. Any two empirically equivalent theories — so the argument goes—are in principle intertranslatable, hence cannot count as rivals in any non-trivial sense. Against that objection, this paper shows that empirically equivalent theories may contain theoretical sentences that are not intertranslatable. Examples are drawn from a related discussion about incommensurability that shows that theoretical non-intertranslatability is possible.

In his late years, Thomas Kuhn became interested in the process of scientific specialization, which does not seem to possess the destructive element that is characteristic of scientific revolutions. It therefore makes sense to investigate whether and how Kuhn’s insights about specialization are consistent with, and actually fit, his model of scientific progress through revolutions. In this paper, I argue that the transition toward a new specialty corresponds to a revolutionary change for the group of scientists involved in such a (...) transition. I will clarify the role of the scientific community in revolutionary changes and characterize the incommensurability across specialties as possessing both semantic and methodological aspects. The discussion of the discovery of the structure of DNA will serve both as an illustration of my main argument and as reply to one criticism raised against Kuhn—namely, that his model cannot capture cases of revolutionary yet non-disruptive episodes of scientific progress. Revisiting Kuhn’s ideas on specialization will shed new light on some often overlooked features of scientific change. (shrink)

More than 50 years after the publication of Thomas Kuhn’s seminal book, The Structure of Scientific Revolutions, this volume assesses the adequacy of the Kuhnian model in explaining certain aspects of science, particularly the social and epistemic aspects of science. One argument put forward is that there are no good reasons to accept Kuhn’s incommensurability thesis, according to which scientific revolutions involve the replacement of theories with conceptually incompatible ones. Perhaps, therefore, it is time for another “decisive transformation in (...) the image of science by which we are now possessed.” Only this time, the image of science that needs to be transformed is the Kuhnian one. Does the Kuhnian image of science provide an adequate model of scientific practice? If we abandon the Kuhnian picture of revolutionary change and incommensurability, what consequences would follow from that vis-à-vis our understanding of scientific knowledge as a social endeavour? -/- The essays in this collection continue this debate, offering a critical examination of the arguments for and against the Kuhnian image of science as well as their implications for our understanding of science as a social and epistemic enterprise. (shrink)

The paper remains and reinforces a viewpoint that science and religion (theology) are methodologically and epistemologically independent. However, it also suggests that this independence can be overcome if a "third party" is taken into account, that is - philosophy. Such possibility seems to follow from the thesis of incommensurability and the thesis of underdetermination formulated and analyzed in current philosophy of science.

The claim that we want to put forward is that Thomas Kuhn ’s growth of knowledge concept is drawn upon Heidegger’s epistemology. To bolster the tenet the corresponding works of both thinkers are considered. As a result, the one-to-one correspondence between the key propositions of Heideggerian epistemology and the basic tenets of Kuhn ’s growth of knowledge model is dawned. The tenets under consideration include the holistic nature of a paradigm, the incommensurability thesis, conventional status of a paradigm caused (...) by pragmatist way of its vocabulary justification and even the basic instance – connection between Aristotelean and Newtonian mechanics. It is conjectured that an indirect influence of Heidegger upon Kuhn should be taken into account to explain the isomorphism. For instance, through the works of Alexandre Koyré admired by Kuhn. As is well-known, Koyré had close professional links with another Russian émigré – Alexandre Kojev – who presented in his 1933-1939 Paris lectures Hegel’s “Phenomenology of Spirit” seen through the cognitive lens of Heideggerian phenomenology. Key words: Martin Heidegger, Thomas Kuhn, growth of knowledge, paradigm, incommensurability thesis, holism, pragmatism. (shrink)

This is an Italian translation of a lecture on incommensurability given at the University of Genoa.

Modern generally accepted models of the growth of knowledge are scrutinized. It is maintained that Thomas Kuhn’s growth of knowledge model is grounded preeminently on Heidegger’s epistemology. To justify the tenet the corresponding works of both thinkers are considered. As a result, the one-to-one correspondence between the key propositions of Heideggerian epistemology and the basic tenets of Kuhn’s growth of knowledge model is elicited. The tenets under consideration include the holistic nature of a paradigm, the incommensurability thesis, conventional status (...) of a paradigm caused by pragmatist way of its vocabulary justification and even the basic instance – connection between Aristotelean and Newtonian mechanics. It is conjectured that an indirect influence of Heidegger upon Kuhn should be taken into account to explain the isomorphism. For instance, through the works of Alexandre Koyré admired by Kuhn. As is well-known, Koyré had close professional links with another Russian émigré – Alexandre Kojev – who presented in his 1933-1939 Paris lectures Hegel’s “Phenomenology of Spirit” seen through the cognitive lens of Heideggerian phenomenology. Key words: Martin Heidegger, Thomas Kuhn, Imre Lakatos, growth of knowledge, paradigm, incommensurability thesis, holism, pragmatism. (shrink)

According to the person-affecting restriction, one distribution of welfare can be better than another only if there is someone for whom it is better. Extant problems for the person-affecting restriction involve variable-population cases, such as the nonidentity problem, which are notoriously controversial and difficult to resolve. This paper develops a fixed-population problem for the person-affecting restriction. The problem reveals that, in the presence of incommensurable welfare levels, the person-affecting restriction is incompatible with minimal requirements of impartial beneficence even in fixed-population (...) contexts. (shrink)

Institutions have often been characterized as responses to conflict, and assumptions about the nature of conflict have frequently determined the structure and scope of political activity. Two prevalent interpretations of conflict portray it as either a conflict of interest or a competition for resources. Yet there is another view of conflict that regards it in terms of a contest of values, something that raises a different set of questions and issues. These issues involve concerns about the incommensurability and incompatibility (...) of values, and challenge contemporary arguments that rely upon the ordering of preferences or that urge the pursuit of a normative consensus. As I argue, both preference based theories and theories of deliberative democracy prove to deal inadequately with the challenges of moral pluralism and value conflict. (shrink)

Several recent works in history and philosophy of science have re-evaluated the alleged opposition between the theses put forth by logical empiricists such as Carnap and the so-called "post-positivists", such as Kuhn. Although the latter came to be viewed as having seriously challenged the logical positivist views of science, recent authors (e.g., Friedman, Reisch, Earman, Irzik and Grünberg) maintain that some of the most notable theses of the Kuhnian view of science have striking similarities with some aspects of Carnap's philosophy. (...) Against that reading, Oliveira and Psillos argue that within Carnap's philosophy there is no place for the Kuhnian theses of incommensurability, holism, and theory-ladenness of observations. This paper presents each of those readings and argues that Carnap and Kuhn have non-opposing views on holism, incommensurability, the theory-ladenness of observations, and scientific revolutions. We note at the very end - without dwelling on the point, however - that they come apart on other matters, such as their views on metaphysics and on the context of discovery/justification distinction. (shrink)

This paper critically reviews the arguments supporting rational genuine satisficing. The deconstructive effort unearths inherent problems with the position in both static and dynamic contexts. Many of these arguments build on Herbert Simon’s canonical arguments surrounding incommensurability and demandingness problems. Optimizing is re-constructed using the principles of instrumental satisficing to answer these charges. The resulting conception is both obviously undemanding and a recognizable response to focused decision making.

The Rachels–Temkin spectrum arguments against the transitivity of better than involve good or bad experiences, lives, or outcomes that vary along multiple dimensions—e.g., duration and intensity of pleasure or pain. This paper presents variations on these arguments involving combinations of good and bad experiences, which have even more radical implications than the violation of transitivity. These variations force opponents of transitivity to conclude that something good is worse than something that isn’t good, on pain of rejecting the good altogether. That (...) is impossible, so we must reject the spectrum arguments. (shrink)

This paper argues for the existence of a fourth positive generic value relation that can hold between two items beyond ‘better than’, ‘worse than’, and ‘equally good’: namely ‘on a par’.

Many consequentialists argue that you ought to do your part in collective action problems like climate change mitigation and ending factory farming because (i) all such problems are triggering cases, in which there is a threshold number of people such that the outcome will be worse if at least that many people act in a given way than if fewer do, and (ii) doing your part in a triggering case maximises expected value. I show that both (i) and (ii) are (...) false: Some triggering cases cannot be solved by appeal to expected value, since they involve infinities, and some collective action problems are not triggering cases, since they involve parity. However, I argue that consequentialism can still generally prohibit failure to do your part in those collective action problems where we believe that so acting would be impermissible. (shrink)