In the present study 151 college students were asked to describe their perceptions regarding how they act toward various ethnic groups (i.e., Native-American, European-American, Hispanic-American, African-American, and Asian-Americans). This was done in order to determine if hierarchies existed in their actions toward different ethnic groups and/or as a function of the respondents’ gender. The findings indicated that males—more so than females—acted significantly more negatively toward all ethnic groups. Regarding ethnic groups, however, only the African-Americans described themselves as acting more hatefully (...) toward their European-American counterparts. Otherwise, no other significant differences were found between any/all other points of comparison between all the ethnic groups surveyed. Implications of these findings are discussed. (shrink)

According to many, necessary existence either is or follows from a perfection. There is something to this. Part of what makes or follows from something’s being impressive is its ontological durability: it has a strong grip on existence. But a necessarily existent being does not just have a strong grip on existence, but a grip that cannot be loosened! So it looks like necessary existence either is, or follows from, a perfection. In this paper, I argue otherwise and (...) so argue that necessary existence neither is, nor follows from, a perfection. And if this is so, then not only is the relationship between necessary existence and perfection not what many take it to be, but work on God (or a good deal of it) needs to be reconceived. (shrink)

Necessary Existence breaks ground on one of the deepest questions anyone ever asks: why is there anything? Pruss and Rasmussen present an original defence of the hypothesis that there is a necessarily existing being capable of providing an ultimate foundation for the existence of all things.

If the essentialist theory is to explain absolute necessities, it must make no appeal to contingent facts. It follows that it can only explain absolute necessities if the relevant natures of things themselves exist of necessity. A thing’s nature is a property of a certain kind. On the basis of the abundant theory advance in Ch.1, it is argued that purely general properties exist of necessity, and hence that purely general natures are likewise necessary beings. It can be further (...) argued that certain purely general functions exist necessarily. Since some such functions map purely general properties to objects, it follows that those objects likewise exist of necessity, cardinal numbers being an obvious example. An appendix elaborates on the claim, made in Ch.6, that while the truths of arithmetic are not typically logically necessary, there are logical necessities (certain truths of second-order logic) which are in a certain sense equivalent to them. (shrink)

The fundamental principles of morality, mathematics, and logic are all necessary. A *necessary-law argument* tries to infer the existence of God from the character or existence of these necessary laws. The present essay examines some general features of necessary-law arguments, clarifies their nature and allays some general concerns about them, thereby clearing the way for their individual assessment. Although its aim is not to appraise any specific necessary-law argument, it does sketch one such argument based (...) on the nature of several necessary laws. (shrink)

It seems obvious that I could have failed to exist. My parents could easily never have met, in which case I should never have been conceived and born. The like applies to everyone. More generally, it seems plausible that whatever exists in space and time could have failed to exist. Events could have taken an utterly different course. Our existence, like most other aspects of our lives, appears frighteningly contingent. It is therefore surprising that there is a proof of my (...) necessary existence, a proof that generalizes to everything whatsoever. I will explain the proof and discuss what to make of it. A first reaction is that a ‘proof’ of such an outrageous conclusion must contain some dreadful fallacy. Yet the proof does not collapse under scrutiny. Further reflection suggests that, suitably interpreted, it may be sound. So interpreted, the conclusion is not outrageous, although it may not be the view you first thought of. (shrink)

The standard position on moral perfection and gratuitous evil makes the prevention of gratuitous evil a necessary condition on moral perfection. I argue that, on any analysis of gratuitous evil we choose, the standard position on moral perfection and gratuitous evil is false. It is metaphysically impossible to prevent every gratuitously evil state of affairs in every possible world. No matter what God does—no matter how many gratuitously evil states of affairs God prevents—it is necessarily true that God coexists (...) with gratuitous evil in some world or other. Since gratuitous evil cannot be eliminated from metaphysical space, the existence of gratuitous evil presents no objection to essentially omnipotent, essentially omniscient, essentially morally perfect, and necessarily existing beings. (shrink)

Avicenna believes that God must be understood in the first place as the Necessary Existent. In his various works, he provides different versions of an ingenious argument for the existence of the Necessary Existent—the so-called Proof of the Sincere —and argues that all the properties that are usually attributed to God can be extracted merely from God's having necessary existence. Considering the centrality of tawḥîd to Islam, the first thing Avicenna tries to extract from God's necessary (...) existence is God's oneness. The aim of the present Element is to provide a detailed discussion of Avicenna's arguments for the existence and unity of God. Through this project, the author hopes to clarify how, for Avicenna, the Islamic concept of monotheism is intertwined with the concept of essential existence. (shrink)

This chapter introduces and discusses the concepts of necessary and sufficient conditions.

In Necessary Existence and the Doctrine of Being in Avicenna’s Metaphysics of the Healing Daniel De Haan explicates the central argument of Avicenna’s metaphysical masterpiece. De Haan argues that the most fundamental primary notion in Avicenna’s metaphysics is neither being nor thing but is the necessary ( wājib), which Avicenna employs to demonstrate the existence and true-nature of the divine necessary existence in itself. This conclusion is established through a systematic investigation of how Avicenna’s theory of a (...) demonstrative science is employed in the organization of his metaphysical science into its subject, first principles, and objects of enquiry. The book examines the essential role the first principles as primary notions and primary hypotheses play in the central argument of Avicenna’s metaphysics. (shrink)

A theory of necessary and sufficient conditions is presented, as well as a theory of necessary and sufficient causes and effects, viewed as a particular case of the former. Ambiguities of the terms 'condition' and 'necessary condition' are explored, and a neutral meaning for 'condition' is favoured. The relation between necessary and sufficient conditions and implicative conditionals (including counterfactuals) is also discussed. Two problems of counterfactual theories of causal explanation are indicated, concerning (i) how to account (...) for causes that are not necessary and (ii) how to interpret the counterfactual from the negation of the effect to the negation of the cause. Application of the theory of necessary and sufficient conditions to Euler’s explanation of the Königsberg bridge problem is discussed. The theory of necessary and sufficient causes and effects is then applied to the flagpole shadow explanation and to two biological explanations, one involving a sufficient but not necessary cause and the other a necessary but not sufficient cause. Causes that are neither sufficient nor necessary are also recognized. Finally, a probabilistic approach to causes that are either not sufficient or not necessary is explored, including its application to examples of such cases. (shrink)

I argue that the fundamental dogma that all necessary relations are internal is ungrounded. To motivate my argument, I analyse Moore’s classic ideas on internal relations and take them as an illustration of the common form of reasoning that can mislead us to conclude that all necessary relations are internal. That reasoning illicitly smuggles the idea that necessary properties and relations reflect on identity—in the sense that the loss of a necessary property/relation is a loss of (...) identity—into the separate idea that the loss of a necessary property/relation is a loss of essence. Essence, however, is not identity. So the way seems to be open for the existence of necessary properties/relations which do not belong to the essence of entities; that is, the existence of necessary but external relations. I then offer some examples of such relations. (shrink)

Theistic metaethics usually places one key restriction on the explanation of moral facts, namely: every moral fact must ultimately be explained by some fact about God. But the widely held belief that moral truths are necessary truths seems to undermine this claim. If a moral truth is necessary, then it seems like it neither needs nor has an explanation. Or so the objection typically goes. Recently, two proponents of theistic metaethics — William Lane Craig and Mark Murphy — (...) have argued that this objection is flawed. They claim that even if a truth is necessary, it does not follow that it neither needs nor has an explanation. In this article, I challenge Craig and Murphy’s reasoning on three main grounds. First, I argue that the counterexamples they use to undermine the necessary truth objection to theistic metaethics are flawed. While they may provide some support for the notion that necessary truths can be explained, they do not provide support for the notion that necessary moral truths can be explained. Second, I argue that the principles of explanation that Murphy and Craig use to support theistic metaethics are either question-begging (in the case of Murphy) or improperly motivated (in the case of Craig). And third, I provide a general defence of the claim that necessary moral truths neither need nor have an explanation. (shrink)

In this paper, we present three necessary conditions for morally responsible animal research that we believe people on both sides of this debate can accept. Specifically, we argue that, even if human beings have higher moral status than nonhuman animals, animal research is morally permissible only if it satisfies (a) an expectation of sufficient net benefit, (b) a worthwhile-life condition, and (c) a no unnecessary-harm/qualified-basic-needs condition. We then claim that, whether or not these necessary conditions are jointly sufficient (...) conditions of justified animal research, they are relatively demanding with the consequence that many animal experiments may fail to satisfy them. (shrink)

The main conclusion drawn in this text is that Piaget's accounts of the construction of necessary knowledge continue to have an intelligible and respectable bases.

Claims that necessary and sufficient conditions are not converse relations are discussed, as well as the related claim that If A, then B is not equivalent to A only if B . The analysis of alleged counterexamples has shown, among other things, how necessary and sufficient conditions should be understood, especially in the case of causal conditions, and the importance of distinguishing sufficient-cause conditionals from necessary-cause conditionals. It is concluded that necessary and sufficient conditions, adequately interpreted, (...) are converse relations in all cases. (shrink)

Substantive counterlegal discourse poses a problem for those according to whom the laws of nature are metaphysically necessary. I discern two types of necessitarianism about laws: dispositional essentialism and modal necessitarianism. I argue that Toby Handfield’s response to the problem of counterlegals cannot help the modal necessitarian, according to whom all possible worlds are identical with respect to the laws. I thus propose a fictionalist treatment of counterlegals. Fictions are not limited by metaphysical possibility; hence, fictionalism affords the modal (...) necessitarian the means to account for the apparent substance of counterlegals even granting the metaphysical necessity of the laws. (shrink)

The Necessary Maximality Principle for c. c. c. forcing with real parameters is equiconsistent with the existence of a weakly compact cardinal. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim).

The full-text of this article is not currently available in ORA, but the original publication is available at springerlink.com . Citation: Williamson, T. . 'The necessary framework of objects', Topoi 19, 201-208. N.B. Tim Williamson is now based at the Faculty of Philosophy, University of Oxford.

Bob Hale presents a broadly Fregean approach to metaphysics, according to which ontology and modality are mutually dependent upon one another. He argues that facts about what kinds of things exist depend on facts about what is possible. Modal facts are fundamental, and have their basis in the essences of things--not in meanings or concepts.

Supervenience in most of its guises entails necessary coextension. Thus theoretical supervenience entails nomically necessary coextension. Kim's result, thus strengthened, has yet to hit home. I suspect that many supervenience enthusiasts would cool at necessary coextension: they didn't mean to be saying anything quite so strong. Furthermore, nomically necessary coextension can be a good reason for property identification, leading to reducibility in principle. This again is more than many supervenience theorists bargained for. They wanted supervenience without (...) reducibility. It is not always available for this mediating role. (shrink)

I argue that Fregeanism with respect to proper names—the view that modes of presentation are relevant to the contents of proper names—is able to account for the thesis that there are necessarily true a posteriori identity propositions such as the one expressed in “Hesperus is identical with Phosphorus”, whereas the Direct Reference Theory—according to which the semantic function of certain expressions, e.g., proper names, is only to pick out an object —is able to deal with only their necessary truth. (...) Thus, at least in so far as necessarily true a posteriori identity propositions are concerned, Fregeanism should be preferred to the Direct Reference Theory. (shrink)

Edited by Ivette Fred-Rivera and Jessica Leech. What is the relationship between ontology and modality: between what there is, and what there could be, must be, or might have been? Throughout a distinguished career, Bob Hale’s work has addressed this question on a number of fronts, through the development of a Fregean approach to ontology, an essentialist theory of modality, and in his work on neo-logicism in the philosophy of mathematics. This collection of new essays engages with these themes in (...) Hale’s work in order to make further progress in our understanding of ontology, modality, and the relations between them. Some essays directly address questions in modal metaphysics, drawing on ontological concerns. Others raise questions in modal epistemology and its links to matters of ontology, such as the challenge to give an epistemology of essence. There are also several essays engaging with questions of what might be called ‘modal ontology’: the study of whether and what things exist necessarily or contingently. Such issues can be raised and addressed directly, but they also have an important bearing on the kinds of semantic commitments engendered in logic and mathematics, e.g., to the existence of sets, or numbers, or properties, and so on. It is thus explored in some chapters to what extent one’s ontology—and indeed, one’s ontology of necessary beings—interacts with other plausible assumptions and commitments. (shrink)

This short essay seeks to identify and prevent a pitfall that attends less careful inquiries into “physiosemiosis.” It is emphasized that, in order to truly establish the presence of sign-action in the non-living world, all the components of a triadic sign - including the interpretant - would have to be abiotic (that is, not dependent on a living organism). Failure to heed this necessary condition can lead one to hastily confuse a natural sign (like smoke coming from fire) for (...) an instance of abiotic semiosis. A more rigorous and reserved approach to the topic is called for. (shrink)

The author's thesis is that there is a conceptually necessary connection between law and morality which means legal positivism must fail as a comprehensive theory. The substantiation of this thesis takes place within a conceptual framework which shows that there are at least 64 theses to be distinguished, concerning the relationship of law and morality. The basis for the author's argument in favour of a necessary connection, is formed by the thesis that individual legal norms and decisions as (...) well as whole legal systems necessarily make a claim to correctness. The explication of this claim within the frame of discourse theory shows that the law has a conceptually necessary, ideal dimension, which connects law with a procedural, universalistic morality. (shrink)

In the not too distant past, it was common to treat Hume's skeptical doubts regarding the justification of our beliefs in causal connections—understood as necessary connections between objects or events—as having appeared per conceptionem immaculatam in his post-Cartesian mind. Thanks to recent efforts by scholars in early modern philosophy, however, we are now more informed about the roots of Hume's conclusions in Cartesian thought itself, especially the influence of Malebranche and his arguments for occasionalism. And by the research of (...) historians of Medieval philosophy we are reminded that many aspects of seventeenth-century occasionalism, in turn, have their ancestry in Latin and Arabic thought of the Middle Ages. In this paper I offer a small contribution to the overall project of illuminating the precedents in Medieval philosophy for the theses and arguments in Malebranche that so clearly influenced the most important and influential philosophical analysis of causation ever. There is a tradition here, where the goal is to undermine claims to discover real causal relations or powers in nature. I will concentrate on one particular aspect or tool of that tradition: the negative argument that we can never perceive a sufficiently necessary connection between any two natural objects or events. (shrink)

This paper explores the fruitful concept of necessary identity, put forward by Bernard Williams in Shame and Necessity (1993) in order to explain a peculiar kind of social identity. Firstly, we will investigate the foundation of this concept, by analyzing Williams’s account of personal practical identity. To this end, we will discuss the role played by luck and necessity in Williams’ understanding of personal practical identity. Secondly, we will focus on the analysis of necessary identities by addressing two (...) historical examples given by Williams. In the second part of the paper, we will consider a debate that followed Williams’s concept of necessary identity, which was taken up by Margaret Walker in light of feminist accounts about necessary identity constitution. In Moral Understandings: A Feminist Study in Ethics (2007) Walker deepens Williams’s position by focusing on the invisible mechanisms of social power and misrecognition that perpetuate the immutability of some social identities; as a model of the perpetuation of necessary identities we will discuss Angela Davis’s positions in Women, Race and Class. From a feminist perspective, we will investigate gender identity as a necessary identity which personal character develops within. From a point of view of the affective situation, we are particularly interested in examining necessary identities as a dispositive where emotion repertoire takes place. Dwelling on the link between Williams’s and Walker’s accounts sheds new light on how personal development and emotion regulation take place within a practical identity that stems from asymmetrical relations of power. (shrink)

It seems obvious that I could have failed to exist. My parents could easily never have met, in which case I should never have been conceived and born. The like applies to everyone. More generally, it seems plausible that whatever exists in space and time could have failed to exist. Events could have taken an utterly different course. Our existence, like most other aspects of our lives, appears frighteningly contingent. It is therefore surprising that there is a proof of my (...) necessary existence, a proof that generalizes to everything whatsoever. I will explain the proof and discuss what to make of it. A first reaction is that a ‘proof’ of such an outrageous conclusion must contain some dreadful fallacy. Yet the proof does not collapse under scrutiny. Further reflection suggests that, suitably interpreted, it may be sound. So interpreted, the conclusion is not outrageous, although it may not be the view you first thought of. (shrink)

ABSTRACT:Moral realism entails that there are metaphysically necessary moral principles of the form ‘all actions of nonmoral kind Z are morally good’; being discoverable a priori, these must be logically necessary. This article seeks to justify this apparently puzzling consequence. A sentence expresses a logically necessary proposition iff its negation entails a contradiction. The method of reflective equilibrium assumes that the simplest account of the apparently correct use of sentences of some type in paradigm examples is probably (...) logically necessary. An account is simple insofar as it uses few predicates designating properties easily recognizable in many different kinds of paradigm examples. I illustrate how reflective equilibrium uses these criteria to discover logically necessary nonmoral propositions such as ‘if S remembers doing X, S believes that he did X’ and ‘if it is scarlet, it is red’. I then illustrate how exactly the same procedures can lead us from paradigm examples of apparently true sentences asserting that actions of some kind are good to discovering moral principles. I advance the contingent hypothesis that most contemporary humans, although they initially disagree about moral issues, have derived from different paradigm examples the same concept of moral goodness, which will ensure that the use of reflective equilibrium will lead to eventual agreement about moral issues. That strongly suggests that the moral principles eventually reached by reflective equilibrium are logically necessary ones. (shrink)

Not a lot of work on theistic arguments has been devoted to drawing connections between a necessary being and theistic properties. In this paper, I identify novel paths from a necessary being to certain theistic properties: volition, infinite power, infinite knowledge, and infinite goodness. The steps in those paths are an outline for future work on what William Rowe (The Cosmological Argument, 1975, p. 6) has called “stage II” of the cosmological argument.

In this paper I examine whether the Humean denial of necessary connections between wholly distinct contingent existents poses problems for a theory of tropes. In section one I consider the substance-attribute theory of tropes. I distinguish first between three versions of the non-transferability of a trope from the substratum in which it inheres and then between two versions of the denial of necessary connections. I show that the most plausible combination of these views is consistent. In section two (...) I consider an objection to the bundle theory using the Humean doctrine that is advanced by Armstrong, and argue that it is unconvincing. In section three I return to the version of non-transferability that would cause obvious trouble for a substance-attribute theory, and less obvious trouble for a bundle theory. I argue that there is independent reason to reject this principle since, given a perdurantist metaphysic, it does not in fact secure what appeared to be its only benefit: namely that it allows tropes to act as truthmakers. I conclude that there is no objection to trope theory per se on the grounds that it brings commitment to necessary connections. (shrink)

In this paper I examine the objection to truthmaker theory, forcibly made by David Lewis and endorsed by many, that it violates the Humean denial of necessary connections between distinct existences. In Sect. 1 I present the argument that acceptance of truthmakers commits us to necessary connections. In Sect. 2 I examine Lewis’ ‘Things-qua-truthmakers’ theory which attempts to give truthmakers without such a commitment, and find it wanting. In Sects. 3–5 I discuss various formulations of the denial of (...) necessary connections and argue that each of them is either false or compatible with truthmaker theory. In Sect. 6 I show how the truthmaker theorist can resist the charge that they are committed to necessary exclusions between possible existents. I conclude that there is no good objection to truthmaker theory on the grounds that it violates the Humean dictum. (shrink)

In their book EVALUATING CRITICAL THINKING Stephen Norris and Robert Ennis say: “Although it is tempting to think that certain [unstated] assumptions are logically necessary for an argument or position, they are not. So do not ask for them.” Numerous writers of introductory logic texts as well as various highly visible standardized tests (e.g., the LSAT and GRE) presume that the Norris/Ennis view is wrong; the presumption is that many arguments have (unstated) necessary assumptions and that readers and (...) test takers can reasonably be expected to identify such assumptions. This paper proposes and defends criteria for determining necessary assumptions of arguments. Both theoretical and empirical considerations are brought to bear. (shrink)

Cosmological arguments for the existence of God face a gap problem. This is the problem of convincingly arguing that their intermediate conclusions that some first cause or necessary being exists provide evidence for their main conclusion that God exists. This paper develops a simple and innovative approach to solving this problem, applicable to many cosmological arguments. According to the proposal, the best explanation for why the necessary being is found to have necessary existence is that it is (...) a perfect being. Since a perfect being would be God, the intermediate conclusions of the relevant cosmological arguments provide abductive evidence for their main conclusions. (shrink)

That believing truly as a matter of luck does not generally constitute knowing has become epistemic commonplace. Accounts of knowledge incorporating this anti-luck idea frequently rely on one or another of a safety or sensitivity condition. Sensitivity-based accounts of knowledge have a well-known problem with necessary truths, to wit, that any believed necessary truth trivially counts as knowledge on such accounts. In this paper, we argue that safety-based accounts similarly trivialize knowledge of necessary truths and that two (...) ways of responding to this problem for safety, issuing from work by Williamson and Pritchard, are of dubious success. (shrink)

Argument that full grounds modally entail what they ground.

In the first part of this paper, I argue against the view that laws of nature are contingent, by attacking a necessary condition for its truth within the framework of a conception of laws as relations between universals. I try to show that there is no independent reason to think that universals have an essence independent of their nomological properties. However, such a non-qualitative essence is required to make sense of the idea that different laws link the same universals (...) in different possible worlds. In the second part, I give a positive argument for the necessity of at least some laws of nature, by showing with the example of a paradigmatic law of association that it consists in an internal relation between two universals which are determinables of the same class of determinates, where this relation is essential to both. Furthermore, I show that the necessity of laws of association could be accommodated within David Lewis' Humean metaphysics, but that it is incompatible with David Armstrong's combinatorialism. (shrink)

Malebranche presents two major arguments for occasionalism: the “no necessary connection” argument (NNC) and the “conservation is but continuous creation” argument (CCC). NNC appears prominently in his Search After Truth but virtually disappears and surrenders the spotlight to CCC in his later major work, Dialogues on Metaphysics and on Religion . This paper investigates the possible reasons and motivations behind this significant shift. I argue that the shift is no surprise if we consider the two ways in which the (...) CCC is preferable to NNC: it is not only more effective against opponents but also more consistent with his own views on freedom. (shrink)

What makes necessary truths true? I argue that all truth supervenes on how things are, and that necessary truths are no exception. What makes them true are proofs. But if so, the notion of proof needs to be generalized to include verification-transcendent proofs, proofs whose correctness exceeds our ability to verify it. It is incumbent on me, therefore, to show that arguments, such as Dummett's, that verification- truth is not compatible with the theory of meaning, are mistaken. The (...) answer is that what we can conceive and construct far outstrips our actual abilities. I conclude by proposing a proof-theoretic account of modality, rejecting a claim of Armstrong's that modality can reside in non-modal truthmakers. (shrink)

Analytic truths are necessary but rather insubstantial, given that analytic sentences are true no matter how things are. It is nowadays a commonplace that there are also substantial metaphysical truths the necessity of which derives from things necessarily being one way rather than another. Theoretical identifications and certain suitably conditionalized identity statements count as paradigmatic examples of sentences expressing such necessary facts. Although there is no shortage of attempts to deflate these examples, this paper proposes another deflationary analysis. (...) Based on this analysis, I shall try to defend a perhaps paradoxically sounding thesis: even under the interpretation under which the sentences in question turn out to be necessarily true, they merely state contingent facts. (shrink)

Philosophical tradition has long held that free will is necessary for moral responsibility. We report experimental results that show that the folk do not think free will is necessary for moral responsibility. Our results also suggest that experimental investigation of the relationship is ill served by a focus on incompatibilism versus compatibilism. We propose an alternative framework for empirical moral psychology in which judgments of free will and moral responsibility can vary independently in response to many factors. We (...) also suggest that, in response to some factors, the necessity relation may run from responsibility to free will. (shrink)

My main thesis is that the necessary and its necessity are factual, or matters of fact, in the sense that they are realities on the same ontic plane or planes with any other beings there may be, physical, phenomenal, or Platonically transcendent, and are no more creatures of thought and speech than dogs and gravity are; if I think they are all physical actualities, this is only because I think everything is. I have a second thesis, however, which is (...) that the realities objectively characterized by necessity are "facts" in the more special sense in which we say it is a fact that the earth is round but not that the earth is a fact or that roundness is a fact. It is fashionable to declare that necessity and contingency pertain only to statements, judgments, or "propositions"; and though the popularity of this is due, I am afraid, to what is false in it, namely, its subjectivism, its philosophic force is due to a covert truth, that necessity can qualify nothing short of the states of affairs which make statements or judgments necessarily true. Any shifts that can avoid the admission of facts in general as first-class members of the universe can provide for what I shall say of necessary facts, but meanwhile the worth of the category will be so proving itself that I cannot foresee abandoning it, and it is all I shall be meaning hereinafter by the word "facts.". (shrink)

In this paper, we offer an account of a paradox analogous to Fitch's paradox of knowability, elaborated around knowledge of necessary truths - such as mathematical or logical truths. In particular, we highlight at which semantic levels the paradox does and does not rise, and explain why that happens. The account employs a novel modal operator and language, which present some distinctive semantic features, such as being unable to characterise many frame properties characterisable in normal modal logic, a fact (...) which may be used in interesting ways to study the logics of the proposed language. Following recent studies, this work may be seen as a case study of semantically insensitive non-normal modal logics. (shrink)