According to cognitive non-naturalism, normative judgments are standard beliefs that purport to be about non-natural properties. An influential plurality of normative theorists, including non-naturalist realists, error theorists and skeptics, share this view. But it is mistaken. For it predicts an epistemic profile for normative judgments that they do not have. In particular, they are not disposed to extinguish in light of accepted evidence that the any non-natural properties are absent, and they are not disposed to come into existence in light (...) of accepted evidence for any non-natural property. So normative judgments might be beliefs, and there might be non-natural properties, but normative judgments are not beliefs about non-natural properties. (shrink)

Two epistemological critiques of non-naturalism are not always carefully distinguished. According to the Causal Objection, the fact that moral properties cannot cause our moral beliefs implies that it would be a coincidence if many of them were true. According to the Evolutionary Objection, the fact that evolutionary pressures have influenced our moral beliefs implies a similar coincidence. After distinguishing these epistemological critiques, I provide an extensive defense of the Causal Objection that also strengthens the Evolutionary Objection. In particular, I formulate (...) a “Master Causal Objection” featuring the controversial premise that non-naturalism can provide no adequate explanation for moral knowledge. I defend this premise by first narrowing down the range of candidate explanations to conceptual, constitutive, and evolutionary explanations, and then considering and eliminating each of these in turn. My discussion of evolutionary explanations suggests that non-naturalists must refute the Causal Objection in order to refute the Evolutionary Objection. (shrink)

Evolutionary debunking arguments move from a premise about the influence of evolutionary forces on our moral beliefs to a skeptical conclusion about those beliefs. My primary aim is to clarify this empirically grounded epistemological challenge. I begin by distinguishing among importantly different sorts of epistemological attacks. I then demonstrate that instances of each appear in the literature under the ‘evolutionary debunking’ title. Distinguishing them clears up some confusions and helps us better understand the structure and potential of evolutionary debunking arguments.

Our project in this essay is to showcase nonnaturalistic moral realism’s resources for responding to metaphysical and epistemological objections by taking the view in some new directions. The central thesis we will argue for is that there is a battery of substantive moral propositions that are also nonnaturalistic conceptual truths. We call these propositions the moral fixed points. We will argue that they must find a place in any system of moral norms that applies to beings like us, in worlds (...) similar to our own. By committing themselves to true propositions of these sorts, nonnaturalists can fashion a view that is highly attractive in its own right, and resistant to the most prominent objections that have been pressed against it. (shrink)

It is widely held that transparency incentivizes good behavior. Though that may be, sometimes, there are tradeoffs here: transparency incentivizes people to conceal genuine reasons for action and instead manufacture insincere reasons for public consumption. The evidence for this comes from moral psychology and economics: when people are observed, they acquire an incentive to make more deontological and intuitive moral judgments than they would otherwise. In contrast, transparency incentivizes politicians and leaders to make more consequentialist and calculated moral judgments than (...) they would otherwise. Transparency incentivizes people to foster distinct (inauthentic) moral identities—one personal and one public—or to make moral judgments based on reputational reasons that sometimes diverge from the moral facts. In either case, transparency can be morally and politically corrupting. (shrink)

In metaethics, evolutionary debunking arguments combine empirical and epistemological premises to purportedly show that our moral judgments are unjustified. One objection to these arguments has been to distinguish between those judgments that evolutionary influence might undermine versus those that it does not. This response is powerful but not well understood. In this paper I flesh out the response by drawing upon a familiar distinction in the natural sciences, where it is common to distinguish folk judgments from theoretical judgments. I argue (...) that this in turn illuminates the proper scope of the evolutionary debunking argument, but not in an obvious way: it is a very specific type of undermining argument that targets those theories where theoretical judgments are inferred merely from folk judgments. One upshot of this conclusion is that it reveals a verboten methodology in metaethics. The evolutionary debunking argument is therefore much less powerful than its proponents have supposed, but it nevertheless rules out what is perhaps a common way of attempting to justify moral judgments. (shrink)

On explanationist accounts of genealogical debunking, roughly, a belief is debunked when its explanation is not suitably related to its content. We argue that explanationism cannot accommodate cases in which beliefs are explained by factors unrelated to their contents but are nonetheless independently justified. Justification-specific versions of explanationism face an iteration of the problem. The best account of debunking is a probabilistic account according to which subject S’s justification J for their belief that P is debunked when S learns that (...) J is no more likely to be true on the hypothesis that P than on the hypothesis that ¬P. The probabilistic criterion is fully general, applying not only to cases where the learned undercutting defeater is a proposition about our beliefs or other mental states but to any case of undercutting defeat, providing the grounds for a debunking argument against the existence of a special, metacognitive debunking principle. (shrink)

Many hope that our values, purged of messy human contingency, could aspire to correspond with mind-independent, rationally obligatory, and eternal ethical facts. But if the arguments of this thesis are on the right track, we should reject the search for non-natural and mind-independent moral truths.

When and why does awareness of a belief's genealogy render it irrational to continue holding that belief? According to explanationism, awareness of a belief’s genealogy gives rise to an epistemic defeater when and because it reveals that the belief is not explanatorily connected to the relevant worldly facts. I argue that an influential recent version of explanationism, due to Korman and Locke, incorrectly implies that it is not rationally permissible to adopt a “sparse” ontology of worldly facts or states of (...) affairs. I then propose a new explanationist account of genealogical defeat capable of accommodating rational belief in ontological sparsity. According to my account, awareness of a belief’s genealogy gives rise to a defeater when and because it reveals that the belief is not explanatorily connected to its truthmaker. (shrink)

According to one influential response to evolutionary debunking arguments against moral realism, debunking arguments fail to undermine our moral beliefs because they fail to imply that those beliefs are insensitive or unsafe. The position that information about the explanatory history of our belief must imply that our beliefs are insensitive or unsafe in order to undermine those beliefs has been dubbed “Modal Security”, and I therefore label this style of response to debunking arguments the “modal security response”. An alternative position, (...) that our beliefs can be defeated if we accept those beliefs are not explained by the relevant facts, I call “explanationism”. In this article, I argue against Modal Security in favour of explanationism. First, I present two examples from the literature that appear to support explanationism, and I argue that these examples imply that the modal security response is fundamentally misguided about the nature of epistemic defeat. I then consider a recent response from Justin Clarke-Doane and Dan Baras, who claim that examples of this kind fail because they are either incoherent or involve a failure of modal security. I argue that, due to their position on the failure of evolutionary debunking arguments, Clarke Doane and Dan Baras are committed to the existence of coherent, sufficiently simple examples that can help us arbitrate between explanationism and modal security. I then construct such an example and argue that it clearly indicates that we should reject Modal Security in favour of explanationism. This implies the modal security response to debunking arguments fails. (shrink)

A debate has recently appeared regarding whether non-naturalism is better than other metaethical views at explaining moral progress. I shall take the occasion of this debate to present a novel debunking dilemma for moral non-naturalists, extending Sharon Street's Darwinian one. I will argue that moral progress indicates that our moral attitudes tend to reflect contingent sociocultural and psychological factors. For non-naturalists, there is then either a relation between these factors and the moral facts, non-naturalistically construed, or there is not. If (...) there is no relation, the contingent factors are unlikely to lead to moral knowledge. If there is a relation, they must be likely to lead to non-naturalist-style moral knowledge, but no theoretically virtuous explanation of moral progress is likely to accommodate non-naturalist commitments. It follows that non-naturalist moral realism cannot explain our moral knowledge. I call this a contingentist challenge to non-naturalism. (shrink)

The Reliability Challenge to moral non-naturalism has received substantial attention recently in the literature on moral epistemology. While the popularity of this particular challenge is a recent development, the challenge has a long history, as the form of this challenge can be traced back to a skeptical challenge in the philosophy of mathematics raised by Paul Benacerraf. The current Reliability Challenge is widely regarded as the most sophisticated way to develop this skeptical line of thinking, making the Reliability Challenge the (...) strongest epistemic challenge to normative nonnaturalism. In this paper, I argue that the innovations that have occurred since Benacerraf’s statement of the challenge are misconceived and confused in a number of ways. The Reliability Challenge is not the most potent epistemic challenge to moral non-naturalism. The most potent challenge comes from the fact that there is a causal condition on knowledge – or, more precisely, a becaual condition – that non-natural moral facts cannot satisfy. (shrink)

Metaethical debunking arguments often conclude that no moral belief is epistemically justified. Early versions of such arguments largely relied on metaphors and analogies and left the epistemology of debunking underspecified. Debunkers have since come to take on substantial and broad-ranging epistemological commitments. The plausibility of metaethical debunking has thereby become entangled in thorny epistemological issues. In this thesis, I provide a critical yet sympathetic evaluation of the prospects and challenges facing such arguments in light of this development. In doing so, (...) I address the following central question: how could genealogical information undermine the epistemic justification of moral beliefs? In Part I, I begin answering the central question by extracting explicit and implicit epistemic principles from three popular debunking arguments. These arguments, due to Gilbert Harman, Richard Joyce, and Sharon Street, generate principles concerning ontological parsimony, explanatory dispensability, epistemic insensitivity, lack of epistemic safety, unexplained reliability, epistemic coincidences, and explanatory constraints on rational belief. Having set out the principles tasked with explaining how genealogical information undermines, Part II of the thesis seeks to evaluate whether debunking arguments built on them succeed. To this end, I consider two types of challenges faced by such arguments. First, there are strategies that attempt to block global moral debunking arguments. I argue that one popular such strategy, the so-called ‘third-factor strategy’, has been misunderstood. When understood correctly, it is of no help in answering debunking arguments. I then flesh out an alternative and more promising strategy for blocking such arguments. I then turn to internal challenges facing debunkers, particularly those who rely on ‘explanationist’ principles. I argue that explanationist debunking arguments, as well as most others, fall prey to one or more of four internal challenges: the implausibility of first-order epistemic principles, the threat of overgeneralization, the threat of self-defeat, and the need for costly metaepistemic commitments. I conclude that current debunking arguments fail to establish that no moral belief is justified. By analyzing why existing arguments fail, I develop two conditions of adequacy that debunkers must satisfy in order to navigate the internal challenges successfully. I end by suggesting future directions that debunkers should pursue to rehabilitate the prospects for global moral debunking arguments. (shrink)

In this thesis, I will explore the epistemological evolutionary debunking arguments in meta-ethics. I will defend these arguments by accomplishing two tasks: I will offer the best way to understand the EDA and I will also respond to two strongest objections to the EDA. Firstly, in Part I of this thesis, I will offer my account of how the EDA should be best formulated. I will start from how evolution has significantly influenced our moral beliefs. I will then explain why, (...) due to their evolutionary origin, our moral beliefs are not tracking the moral truth reliably. Furthermore, I will argue that the fact that our moral beliefs are not tracking the moral truth also provides an undercutting and a higher-order defeater for those beliefs. As a result, I will conclude that the epistemic status of our moral beliefs is undermined because of these two kinds of defeaters. Secondly, in Part II of this thesis, I will turn my attention to the two strongest objections to the EDA – the Conceptual Truth Objection and the Third Factor Objection. I will first offer two responses to the Conceptual Truth Objection and, based on these two responses, I will argue that the Conceptual Truth Objection fails as a challenge to the EDA. I will then also argue that there currently doesn’t exist an acceptable version of the Third Factor Objection and it is also unlikely that such a version could be constructed in the future. I will finally conclude that both objections are problematic and they are thus unable to give us reason to doubt the EDA. (shrink)

Many moral debunking arguments are driven by the idea that the correlation between our moral beliefs and the moral truths is a big coincidence, given a robustly realist conception of morality.One influential response is that the correlation is not a coincidence because there is a common explainer of our moral beliefs and the moral truths. For example, the reason that I believe that I should feed my child is because feeding my child helps them to survive, and natural selection instills (...) in me beliefs and dispositions that help my children survive since that is conductive to my genes continuing through the generations. Similarly, the reason that it's morally good to feed my child is because it helps them to survive, and survival is morally valuable.But if we look at some cases from scientific practice, and from everyday life, we can see, I argue, why this response fails. A correlation can be coincidental even if there is a common explainer. I give an account of the nature of coincidence that draws upon recent literature on scientific explanation and argue that the correlation between moral belief and moral truth is a coincidence, even given such common explainers. And I use this to defend a certain form of debunking argument. (shrink)

In “The Evolutionary Debunking of Quasi-Realism,” Neil Sinclair and James Chamberlain present a novel answer that quasi-realists can pro-vide to a version of the reliability challenge in ethics—which asks for an explanation of why our moral beliefs are generally true—and in so doing, they examine whether evolutionary arguments can debunk quasi-realism. Although reliability challenges differ from EDAs in several respects, there may well be a connection between them. For the explanatory premise of an EDA may state that a particular theory (...) of beliefs of a certain kind does not, or cannot, provide a plausible account of why those beliefs might be generally true, and its epistemic premise may state that, if that is the case, then the beliefs in question have a negative epistemic status or the theory is false inasmuch as, if it were true, it would lead to those beliefs having such a negative epistemic status. The quasi-realist can answer the reli-ability challenge by claiming that, when we form our moral beliefs through a process of well-informed impartial reflection, we form them in response to the non-moral features of things on which depend the moral features they have. Hence, when we form beliefs by means of such a process, we are most likely forming true moral beliefs. (shrink)

Sometimes, learning about the origins of a belief can make it irrational to continue to hold that belief—a phenomenon we call ‘genealogical defeat’. According to explanationist accounts, genealogical defeat occurs when one learns that there is no appropriate explanatory connection between one’s belief and the truth. Flatfooted versions of explanationism have been widely and rightly rejected on the grounds that they would disallow beliefs about the future and other inductively-formed beliefs. After motivating the need for some explanationist account, we raise (...) some problems for recent versions of explanationism. Learning from their failures, we then produce and defend a more resilient explanationism. (shrink)

In this paper I lay out, argue for, and defend ethical Mooreanism. In essence, the view says that some moral propositions are Moorean propositions and thus are epistemically superior to the conjunctions of the premises of skeptical arguments to the contrary. In Sect. 1 I explain Mooreanism and then ethical Mooreanism. In Sect. 2 I argue for ethical Mooreanism by noting a number of important epistemic parities that hold between certain moral truths and standard Moorean facts. In Sect. 3 I (...) defend ethical Mooreanism against the objection that moral propositions are too epistemically dissimilar to standard Moorean facts to count as Moorean truths. (shrink)

The author argues that well-known forms of relativism are unable to accommodate, at once, a set of three highly intuitive theses about the distinctive character of moral reasons. Yet the author argues it is possible to formulate a novel form of normative relativism that has the power to accommodate these claims. The proposed view combines the relativist idea that the normative facts are attitude-dependent with the insight that there are non-human agents to which it makes sense to attribute the kinds (...) of attitudes that give rise to normative reasons. Societies, too, can possess reasons to pursue their aims. What distinguishes moral reasons from reasons of practical rationality is that the former apply directly to societies in virtue of aims held by each society as a group, while the latter apply directly to persons in light of their own individual interests. (shrink)

Several authors believe that metaethicists ought to leave their comfortable armchairs and engage with serious empirical research. This paper provides partial support for the opposing view, that metaethics is rightly conducted from the armchair. It does so by focusing on debunking arguments against robust moral realism. Specifically, the article discusses arguments based on the possibility that if robust realism is correct, then our beliefs are most likely insensitive to the relevant truths. These arguments seem at first glance to be dependent (...) on empirical research to learn what our moral beliefs are sensitive to. It is argued, however, that this is not so. The paper then examines two thought experiments that have been thought to demonstrate that debunking arguments might depend on empirical details and argues that the conclusion is not supported. (shrink)

We are fallible creatures, prone to making all sorts of mistakes. So, we should be open to evidence of error. But what constitutes such evidence? And what is it to rationally accommodate it? I approach these questions by considering an evolutionary debunking argument according to which (a) we have good, scientific, reason to think our moral beliefs are mistaken, and (b) rationally accommodating this requires revising our confidence in, or altogether abandoning the suspect beliefs. I present a dilemma for such (...) debunkers, which shows that either we have no reason to worry about our moral beliefs, or we do but we can self-correct. Either way, moral skepticism doesn’t follow. That the evolutionary debunking argument fails is important; also important, however, is what its failure reveals about rational belief revision. Specifically, it suggests that getting evidence of error is a non-trivial endeavor and that we cannot learn that we are likely to be mistaken about some matter from a neutral stance on that matter. (shrink)

Debunking arguments—also known as etiological arguments, genealogical arguments, access problems, isolation objec- tions, and reliability challenges—arise in philosophical debates about a diverse range of topics, including causation, chance, color, consciousness, epistemic reasons, free will, grounding, laws of nature, logic, mathematics, modality, morality, natural kinds, ordinary objects, religion, and time. What unifies the arguments is the transition from a premise about what does or doesn't explain why we have certain mental states to a negative assessment of their epistemic status. I examine (...) the common, underlying structure of the arguments and the different strategies for motivating and resisting the premises of debunking arguments. (shrink)

Motivated by examples, many philosophers believe that there is a significant distinction between states of affairs that are striking and therefore call for explanation and states of affairs that are not striking. This idea underlies several influential debates in metaphysics, philosophy of mathematics, normative theory, philosophy of modality, and philosophy of science but is not fully elaborated or explored. This paper aims to address this lack of clear explanation first by clarifying the epistemological issue at hand. Then it introduces an (...) initially attractive account for strikingness that is inspired by the work of Paul Horwich and adopted by a number of philosophers. The paper identifies two logically distinct accounts that have both been attributed to Horwich and then argues that, when properly interpreted, they can withstand former criticisms. The final two sections present a new set of considerations against both Horwichian accounts that avoid the shortcomings of former critiques. It remains to be seen whether an adequate account of strikingness exists. (shrink)

Debunking arguments against both moral and mathematical realism have been pressed, based on the claim that our moral and mathematical beliefs are insensitive to the moral/mathematical facts. In the mathematical case, I argue that the role of Hume’s Principle as a conceptual truth speaks against the debunkers’ claim that it is intelligible to imagine the facts about numbers being otherwise while our evolved responses remain the same. Analogously, I argue, the conceptual supervenience of the moral on the natural speaks presents (...) a difficulty for the debunker’s claim that, had the moral facts been otherwise, our evolved moral beliefs would have remained the same. (shrink)

Evolutionary debunking arguments appeal to selective etiologies of human morality in an attempt to undermine moral realism. But is morality actually the product of evolution by natural selection? Although debunking arguments have attracted considerable attention in recent years, little of it has been devoted to whether the underlying evolutionary assumptions are credible. In this paper, we take a closer look at the evolutionary hypotheses put forward by two leading debunkers, namely Sharon Street and Richard Joyce. We raise a battery of (...) considerations, both empirical and theoretical, that combine to cast doubt on the plausibility of both hypotheses. We also suggest that it is unlikely that there is in the vicinity a plausible alternative hypothesis suitable for the debunker’s cause. (shrink)

Moral debunking arguments are meant to show that, by realist lights, moral beliefs are not explained by moral facts, which in turn is meant to show that they lack some significant counterfactual connection to the moral facts (e.g., safety, sensitivity, reliability). The dominant, “minimalist” response to the arguments—sometimes defended under the heading of “third-factors” or “pre-established harmonies”—involves affirming that moral beliefs enjoy the relevant counterfactual connection while granting that these beliefs are not explained by the moral facts. We show that (...) the minimalist gambit rests on a controversial thesis about epistemic priority: that explanatory concessions derive their epistemic import from what they reveal about counterfactual connections. We then challenge this epistemic priority thesis, which undermines the minimalist response to debunking arguments (in ethics and elsewhere). (shrink)

Evolutionary Debunking Arguments purport to show that our moral beliefs do not amount to knowledge because these beliefs are “debunked” by the fact that our moral beliefs are, in some way, the product of evolutionary forces. But there is a substantial gap in this argument between its main evolutionary premise and the skeptical conclusion. What is it, exactly, about the evolutionary origins of moral beliefs that would create problems for realist views in metaethics? I argue that evolutionary debunking arguments are (...) best understood as offering up defeaters for our moral beliefs. Moreover, the defeater in question is a paradigmatic instance of undercutting defeat. If anything is an undercutting defeater, then learning about the evolutionary origins of our moral beliefs is a defeater for those beliefs. (shrink)

Several philosophers have recently challenged cognitivism, i.e., the view that moral judgments are beliefs, by arguing that moral judgments are evidence non-responsive in a way that beliefs are not. If you believe that P, but acquire (sufficiently strong) evidence against P, you will give up your belief that P. This does not seem true for moral judgments. Some subjects maintain their moral judgments despite believing that there is (sufficiently strong) evidence against the moral judgments. This suggests that there is a (...) mismatch between moral judgments and beliefs. This is an interesting argument. In particular, it forces the cognitivist to be more explicit about the nature of belief and the sense in which moral judgments are responsive to evidence. This paper has two aims. First, it aims to systematically examine different versions of the argument from evidence non-responsiveness. Second, it aims to outline a more nuanced understanding of the sense in which beliefs are evidence responsive that explains why the extant versions of the argument do not constitute a challenge to cognitivism. (shrink)

Facts about moral disagreement and human evolution have both been said to exclude the possibility of moral knowledge, but the question of how these challenges interact has largely gone unaddressed. The paper aims to present and defend a novel version of the evolutionary “debunking” argument for moral skepticism that appeals to both types of considerations. This argument has several advantages compared to more familiar versions. The standard debunking strategy is to argue that evolutionary accounts of moral beliefs generate skeptical implications (...) because they attribute those beliefs to factors that are unrelated to their truth. That strategy is vulnerable to “third-factor” responses, which invoke first-order moral claims to challenge the assumption that Darwinian factors and the moral truths are really unrelated in that way. In contrast, our version is immune to those responses, as it does not proceed via assumptions about how Darwinian factors relate to the moral facts. Instead, it focuses on what evolutionary accounts of moral beliefs have to say about the fact that people often reach divergent moral beliefs. The argument thereby illustrates how the debunking strategy can join forces with the argument from moral disagreement. The combination of those strategies presents, we think, a challenge that is more formidable than when they are considered separately. (shrink)

One of the contentious philosophical issues surrounding the cognitive science of religion (CSR) is whether well-confirmed CSR theories would debunk religious beliefs. These debates have been contentious in part because of criticisms of epistemic principles used in debunking arguments. In this paper I use Ernest Sosa’s respected theory of knowledge as fully apt belief—which avoids objections that have been leveled against sensitivity and safety principles often used in debunking arguments—to construct a plausible debunking argument for religious belief on the assumption (...) that religious belief is formed simply through processes theorized by CSR. But, in fact, most believers also rely on arguments of various sorts, and their beliefs are not debunked. (shrink)

Non-naturalist normative realists face an epistemological objection: They must explain how their preferred route of justification ensures a non-accidental connection between justified moral beliefs and the normative truths. One strategy for meeting this challenge begins by pointing out that we are semantically or conceptually competent in our use of the normative terms, and then argues that this competence guarantees the non-accidental truth of some of our first-order normative beliefs. In this paper, I argue against this strategy by illustrating that this (...) competence based strategy undermines the non-naturalist’s ability to capture the robustly normative content of our moral beliefs. (shrink)

Heightened awareness of the origins of our moral judgments pushes many in the direction of moral skepticism, in the direction of thinking we are unjustified in holding our moral judgments on a realist understanding of the moral truths. A classic debunking argument fleshes out this worry: the best explanation of our moral judgments does not appeal to their truth, so we are unjustified in holding our moral judgments. But it is unclear how to get from the explanatory premise to the (...) debunking conclusion. This paper shows how to get from here to there by way of epistemic insensitivity. First, we reconstruct Richard Joyce’s evolutionary debunking argument from insensitivity. Second, we raise epistemological difficulties for Joyce’s argument. Third, we develop and defend a new debunking argument from insensitivity. (shrink)

Evolutionary debunking arguments aim to undercut the epistemological status of our evaluative beliefs on the basis of the genesis of our belief-forming tendencies. This paper addresses the issue whether responses to these arguments must be question-begging. It argues for a pragmatic understanding of question-beggingness, according to which whether an argument is question-begging depends on the argumentative context. After laying out the debunking argument, the paper considers a variety of responses. It asks whether metaethical responses, such as Sharon Street’s response that (...) relies on a version of antirealism, can avoid begging the question. It argues that so-called ‘third-factor’ responses, which rely on substantive evaluative views, are not question-begging in all contexts. Similarly, it argues, my own ‘quasi-tracking’ response is not question-begging in all contexts. Finally, the paper asks whether responses to the debunking argument can avoid begging the question against someone who is convinced at the outset that the argument is sound. -/- . (shrink)

Scanlon’s Being Realistic about Reasons (BRR) is a beautiful book – sleek, sophisticated, and programmatic. One of its key aims is to demystify knowledge of normative and mathematical truths. In this article, I develop an epistemological problem that Scanlon fails to explicitly address. I argue that his “metaphysical pluralism” can be understood as a response to that problem. However, it resolves the problem only if it undercuts the objectivity of normative and mathematical inquiry.