Cuando en el horizonte de un seminario truncado por la muerte sobre el artículo de Kant: ¿Qué es la Ilustración? Habermas plantea el problema de la modernidad en terminos de las conciencia de la discontinuidad del tiempo. Foucault lo hace en terminos del Ethos, reanudando así una vieja tradición que se enraiza en Aristóteles y Teofrasto, y que culmina, de alguna manera, en La Bruyère.

Arte cuya esencia es la mimêsis, la pintura no imita, de manera más o menos “realista”: el pintor imita lo real, no tal como es, sino tal como aparece, pinta un phantasma, un simulacro. La mimêsis plantea la cuestión central en la filosofía de Platón de los grados del ser: imitación de la apariencia, la pintura se aleja de lo real y de lo verdadero. Platón utiliza el concepto de imitación para estructurar el sistema de la esencia y de sus (...) reproducciones. (shrink)

Es importante entender la posición de Aristóteles y su diferenciacon respecto a la de Platón. No se trata solamente de explicar elporqué del paso de la división tripartita del alma –racional,irascible y concupiscible– a la división bipartita –racional eirracional–, sino, también, de advertir y ser consciente de lasprofundas implicaciones que este paso tiene y, sobre todo, susconsecuencias en el nuevo estatuto del deseo en la vida moral.

La aversión de los renacentistas por el método silogístico les hizo experimentarnuevas formas literarias más “estéticas” que sirvieron a menudo paraencubrir la falta de cualquier especie de lógica o de razonamiento. El usodel método geométrico sería la respuesta de los filósofos del siglo XVII aesta falta de lógica y de razonamiento. Tal parece ser, en efecto, el caso deDescartes quien borró “la lengua de la Escuela y el estilo de la Escuela” ydecretó la universalidad del método matemático. Con todo, según (...) Spinoza,Descartes ni logró sustraerse a la férula escolástica, ya que heredó de lasespeculaciones teológicas medievales, ni alcanzó liberarse del todo delórganon aristotélico. (shrink)

ACKNOWLEDGEMENTS I would like to thank the following: Professor DW Harding for suggesting inquiry into Binet's work and for allowing use of his own ideas in ...

The HOD Dichotomy Theorem states that if there is an extendible cardinal, δ, then either HOD is “close” to V or HOD is “far” from V. The question is whether the future will lead to the first or the second side of the dichotomy. Is HOD “close” to V, or “far” from V? There is a program aimed at establishing the first alternative—the “close” side of the HOD Dichotomy. This is the program of inner model theory. In recent years the (...) third author has provided evidence that there is an ultimate inner model—Ultimate-L—and he has isolated a natural conjecture associated with the model—the Ultimate-L Conjecture. This conjecture implies that that the first alternative holds—HOD is “close” to V. This is the future in which pattern prevails. In this paper we introduce a very different program, one aimed at establishing the second alternative—the “far” side of the HOD Dichotomy. This is the program of large cardinals beyond choice. Kunen famously showed that if AC holds then there cannot be a Reinhardt cardinal. It has remained open whether Reinhardt cardinals are consistent in ZF alone. It turns out that there is an entire hierarchy of choiceless large cardinals of which Reinhardt cardinals are only the beginning, and, surprisingly, this hierarchy appears to be highly ordered and amenable to systematic investigation, as we shall show in this paper. The point is that if these choiceless large cardinals are consistent then the Ultimate-L Conjecture must fail. This is the future where chaos prevails. (shrink)

We show that Bounded Forcing Axioms (for instance, Martin's Axiom, the Bounded Proper Forcing Axiom, or the Bounded Martin's Maximum) are equivalent to principles of generic absoluteness, that is, they assert that if a $\Sigma_1$ sentence of the language of set theory with parameters of small transitive size is forceable, then it is true. We also show that Bounded Forcing Axioms imply a strong form of generic absoluteness for projective sentences, namely, if a $\Sigma^1_3$ sentence with parameters is forceable, then (...) it is true. Further, if for every real x, $x^{\sharp}$ exists, and the second uniform indiscernible is less than $\omega_2$ , then the same holds for $\Sigma^1_4$ sentences. (shrink)

For each natural number n, let C(n) be the closed and unbounded proper class of ordinals α such that Vα is a Σn elementary substructure of V. We say that κ is a C(n)-cardinal if it is the critical point of an elementary embedding j : V → M, M transitive, with j(κ) in C(n). By analyzing the notion of C(n)-cardinal at various levels of the usual hierarchy of large cardinal principles we show that, starting at the level of superstrong (...) cardinals and up to the level of rank-into-rank embeddings, C(n)-cardinals form a much finer hierarchy. The naturalness of the notion of C(n)-cardinal is exemplified by showing that the existence of C(n)-extendible cardinals is equivalent to simple reflection principles for classes of structures, which generalize the notions of supercompact and extendible cardinals. Moreover, building on results of Bagaria et al. (2010), we give new characterizations of Vopeňka’s Principle in terms of C(n)-extendible cardinals. (shrink)

Gender, ‘race’, poverty, health and discourses of health reform in the context of globalization: a postcolonial feminist perspective in policy researchIn this paper, I draw on extant literature and my empirical work to discuss the impact of globalization and healthcare reform on the lives of women — those from countries of the South as well as of the North. First, I review briefly the economic hardships identified in different sectors of the population that have been attributed to how globalization is (...) now working. Second, I examine what these global processes mean for health, with particular focus on poverty, gender, racialization and health. Third, I reflect on how nurse scientists might develop research agendas in the 21st century that would foster social transformation and social justice for all people. The position taken here is not an indictment of globalization. Rather, I argue that globalization is a fact in all of our lives. There are positive aspects of globalization. There are also negative aspects which we must collectively address, given that the issues identified can have deleterious consequences for the world’s poor, women in particular. I suggest that, to construct knowledge for practice and praxis, research agendas of the future should be inclusive of subaltern voices. I argue that drawing on a postcolonial feminist epistemology might help us to define such agendas, and express the multilayered sociopolitical contexts of health and illness in advocacy with policy‐makers. (shrink)

Superstrong cardinals are never Laver indestructible. Similarly, almost huge cardinals, huge cardinals, superhuge cardinals, rank-into-rank cardinals, extendible cardinals, 1-extendible cardinals, 0-extendible cardinals, weakly superstrong cardinals, uplifting cardinals, pseudo-uplifting cardinals, superstrongly unfoldable cardinals, Σn-reflecting cardinals, Σn-correct cardinals and Σn-extendible cardinals are never Laver indestructible. In fact, all these large cardinal properties are superdestructible: if κ exhibits any of them, with corresponding target θ, then in any forcing extension arising from nontrivial strategically <κ-closed forcing Q∈Vθ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} (...) \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{Q} \in V_\theta}$$\end{document}, the cardinal κ will exhibit none of the large cardinal properties with target θ or larger. (shrink)

We introduce the large-cardinal notions of ξ-greatly-Mahlo and ξ-reflection cardinals and prove (1) in the constructible universe, L, the first ξ-reflection cardinal, for ξ a successor ordinal, is strictly between the first ξ-greatly-Mahlo and the first Π1ξ-indescribable cardinals, (2) assuming the existence of a ξ-reflection cardinal κ in L, ξ a successor ordinal, there exists a forcing notion in L that preserves cardinals and forces that κ is (ξ+1)-stationary, which implies that the consistency strength of the existence of a (ξ+1)-stationary (...) cardinal is strictly below a Π1ξ-indescribable cardinal. These results generalize to all successor ordinals ξ the original same result of Mekler–Shelah [A. Mekler and S. Shelah, The consistency strength of every stationary set reflects, Israel J. Math.67(3) (1989) 353–365] about a 2-stationary cardinal, i.e. a cardinal that reflects all its stationary sets. (shrink)

Recent events around the globe reflect the tensions and ethical dilemmas of the postmodern, postcolonial and neocolonial world that have far reaching implications for health, well-being, and human suffering. As we consider what is at stake, and what this means for local lives and human relationships, we need to examine whether the theories we draw on are adequate to further our understanding of health, and the social and material conditions of human suffering. In this paper I begin to explore the (...) question, ‘Can postcolonial feminist theories provide an inclusive scholarship that would further our understanding of human suffering and open up a path to healing?’ At issue here is whether this scholarship adds another dimension to a praxis-oriented nursing science. (shrink)

We give a level-by-level analysis of the Weak Vopěnka Principle for definable classes of relational structures ( $\mathrm {WVP}$ ), in accordance with the complexity of their definition, and we determine the large-cardinal strength of each level. Thus, in particular, we show that $\mathrm {WVP}$ for $\Sigma _2$ -definable classes is equivalent to the existence of a strong cardinal. The main theorem (Theorem 5.11) shows, more generally, that $\mathrm {WVP}$ for $\Sigma _n$ -definable classes is equivalent to the existence of (...) a $\Sigma _n$ -strong cardinal (Definition 5.1). Hence, $\mathrm {WVP}$ is equivalent to the existence of a $\Sigma _n$ -strong cardinal for all $n<\omega $. (shrink)

We strengthen a result of Harrington and Shelah by showing that, unless ω1 is an inaccessible cardinal in L, a relatively weak fragment of Martin's axiom implies that there exists a δ13 set of reals without the property of Baire.

Does the “free market” foster more freedom for individuals generally and less coercion? Libertarians and other market advocates argue that the unfettered market maximizes freedom and hence has less coercion than any feasible alternative. Welfare liberals, Socialist, and Marxists, in different ways, argue against the claim that the unrestricted market maximizes freedom generally. Both supporters and critics agree that coercion undermines freedom and that that is what is ultimately prima facie wrong with it. Further, they agree that the extent to (...) which an economic system includes coercion provides a serious strike against it. The problem is that there is little consensus on the necessary conditions for coercion. In this paper I will be concerned with the nature of coercive relationships in the market. Market interactions have a particular character and occur within a specific institutional framework. Other accounts of coercion have failed to capture the unique character of coercion in the market because they have failed to take into account certain nontrivial facts about the market which are essential to the analysis of coercive market relations. (shrink)

We give a sharper version of a theorem of Rosický, Trnková and Adámek [13], and a new proof of a theorem of Rosický [12], both about colimits in categories of structures. Unlike the original proofs, which use category-theoretic methods, we use set-theoretic arguments involving elementary embeddings given by large cardinals such as $\alpha$-strongly compact and $C^{(n)}$-extendible cardinals.

This study considers the potential for influencing business students to become ethical managers by directing their undergraduate learning environment. In particular, the relationship between business students’ academic cheating, as a predictor of workplace ethical behavior, and their approaches to learning is explored. The three approaches to learning identified from the students’ approaches to learning literature are deep approach, represented by an intrinsic interest in and a desire to understand the subject, surface approach, characterized by rote learning and memorization without understanding, (...) and strategic approach, associated with competitive students whose motivation is the achievement of good grades by adopting either a surface or deep approach. Consistent with the hypothesized theoretical model, structural equation modeling revealed that the surface approach is associated with higher levels of cheating, while the deep approach is related to lower levels. The strategic approach was also associated with less cheating and had a statistically stronger influence than the deep approach. Further, a significantly positive relationship reported between deep and strategic approaches suggests that cheating is reduced when deep and strategic approaches are paired. These findings suggest that future managers and business executives can be influenced to behave more ethically in the workplace by directing their learning approaches. It is hoped that the evidence presented may encourage those involved in the design of business programs to implement educational strategies which optimize students’ approaches to learning towards deep and strategic characteristics, thereby equipping tomorrow’s managers and business executives with skills to recognize and respond appropriately to workplace ethical dilemmas. (shrink)

We study the preservation under projective ccc forcing extensions of the property of L(ℝ) being a Solovay model. We prove that this property is preserved by every strongly-̰Σ₃¹ absolutely-ccc forcing extension, and that this is essentially the optimal preservation result, i.e., it does not hold for Σ₃¹ absolutely-ccc forcing notions. We extend these results to the higher projective classes of ccc posets, and to the class of all projective ccc posets, using definably-Mahlo cardinals. As a consequence we obtain an exact (...) equiconsistency result for generic absoluteness under projective absolutely-ccc forcing notions. (shrink)

Does the “free market” foster more freedom for individuals generally and less coercion? Libertarians and other market advocates argue that the unfettered market maximizes freedom and hence has less coercion than any feasible alternative. Welfare liberals, Socialist, and Marxists, in different ways, argue against the claim that the unrestricted market maximizes freedom generally. Both supporters and critics agree that coercion undermines freedom and that that is what is ultimately prima facie wrong with it. Further, they agree that the extent to (...) which an economic system includes coercion provides a serious strike against it. The problem is that there is little consensus on the necessary conditions for coercion. In this paper I will be concerned with the nature of coercive relationships in the market. Market interactions have a particular character and occur within a specific institutional framework. Other accounts of coercion have failed to capture the unique character of coercion in the market because they have failed to take into account certain nontrivial facts about the market which are essential to the analysis of coercive market relations. (shrink)

RESUMEN:Este trabajo tiene por objeto analizar la articulación entre la afirmación del carácter racional de la fe, esto es, su dimensión latitudinaria, el escepticismo epistemológico, y su derivación práctica en un concepto de tolerancia restringido al interior del protestantismo. Se subrayará, en este sentido, el carácter estratégico de la articulación entre racionalidad de la fe y escepticismo, en cuanto permite apelar a la ignorancia con vistas a la tolerancia, sin por ello dejar de sostener la interpretación protestante del cristianismo, en (...) detrimento de la interpretación católica.PALABRAS CLAVE:LOCKE - LATITUDINARISMO - ESCEPTICISMO - TOLERANCIA - PROTESTANTISMOABSTRACT:This paper aims to analyze the articulation between faith rationality assertion, i.e. its latitudinarian aspect, its epistemological skepticism, and its practical implication in a restricted concept of tolerance within Protestantism. In this regard, we will emphasize the strategic feature of the link between faith rationality and skepticism, as it allows appealing to ignorance towards tolerance, without dropping the Protestant interpretation of Christianity, to the detriment of Catholic interpretation.KEYWORDS:LOCKE - LATITUDINARIANISM - SKEPTICISM - TOLERATION - PROTESTANTISM. (shrink)

Why do sociological theorists remain uninterested in and resistant to feminist theory? Notwithstanding indications of increasing openness to feminist theory, journals and texts on sociological theory reflect a continuing pattern of neglect. I identify reasons for this pattern, including tensions resulting from the introduction of gender as a central analytical category: Not only does gender challenge the dichotomous categories that define sociology's boundaries and identity, it also displaces the discipline's central problematic of modernity. The significance of this displacement is apparent (...) when the discipline's responses to feminist and postmodernist theory are compared. I discuss the relevance of feminist theoretical work to contemporary issues in sociological theory, with specific attention to the synthetic nature of feminist theorizing, to work on rethinking power, resistance, and oppression, and to efforts to effect a conceptual shift from "either/or" to "both/and" thinking and to establish new grounds for assessing knowledge claims. (shrink)

We explore the consistency strength of Σ 3 1 and Σ 4 1 absoluteness, for a variety of forcing notions.

We study the preservation of the property of being a Solovay model under proper projective forcing extensions. We show that every strongly-proper forcing notion preserves this property. This yields that the consistency strength of the absoluteness of under strongly-proper forcing notions is that of the existence of an inaccessible cardinal. Further, the absoluteness of under projective strongly-proper forcing notions is consistent relative to the existence of a -Mahlo cardinal. We also show that the consistency strength of the absoluteness of under (...) forcing extensions with σ-linked forcing notions is exactly that of the existence of a Mahlo cardinal, in contrast with the general ccc case, which requires a weakly-compact cardinal. (shrink)

We study the projective posets and their properties as forcing notions. We also define Martin's axiom restricted to projective sets, MA, and show that this axiom is weaker than full Martin's axiom by proving the consistency of ZFC + ¬lCH + MA with “there exists a Suslin tree”, “there exists a non-strong gap”, “there exists an entangled set of reals” and “there exists κ < 20 such that 20 < 2k”.

Due to huge advancements in natural language processing (NLP) and machine learning, chatbots are gaining significance in the field of customer service. For users, it may be hard to distinguish whether they are communicating with a human or a chatbot. This brings ethical issues, as users have the right to know who or what they are interacting with (European Commission in Regulatory framework proposal on artificial intelligence. https://digital-strategy.ec.europa.eu/en/policies/regulatory-framework-ai, 2022). One of the solutions is to include a disclosure at the start (...) of the interaction (e.g., “this is a chatbot”). However, companies are reluctant to use disclosures, as consumers may perceive artificial agents as less knowledgeable and empathetic than their human counterparts (Luo et al. in Market Sci 38(6):937–947, 2019). The current mixed methods study, combining qualitative interviews (n = 8) and a quantitative experiment (n = 194), delves into users’ responses to a disclosed vs. undisclosed customer service chatbot, focusing on source orientation, anthropomorphism, and social presence. The qualitative interviews reveal that it is the willingness to help the customer and the friendly tone of voice that matters to the users, regardless of the artificial status of the customer care representative. The experiment did not show significant effects of the disclosure (vs. non-disclosure). Implications for research, legislators and businesses are discussed. (shrink)

We consider several kinds of partition relations on the set ${\mathbb{R}}$ of real numbers and its powers, as well as their parameterizations with the set ${[\mathbb{N}]^{\mathbb{N}}}$ of all infinite sets of natural numbers, and show that they hold in some models of set theory. The proofs use generic absoluteness, that is, absoluteness under the required forcing extensions. We show that Solovay models are absolute under those forcing extensions, which yields, for instance, that in these models for every well ordered partition (...) of ${\mathbb{R}^\mathbb{N}}$ there is a sequence of perfect sets whose product lies in one piece of the partition. Moreover, for every finite partition of ${[\mathbb{N}]^{\mathbb{N}} \times \mathbb{R}^{\mathbb{N}}}$ there is ${X \in [\mathbb{N}]^{\mathbb{N}}}$ and a sequence ${\{P_{k} : k \in \mathbb{N}\}}$ of perfect sets such that the product ${[X]^{\mathbb{N}} \times \prod_{k}^{\infty}P_{k}}$ lies in one piece of the partition, where ${[X]^{\mathbb{N}}}$ is the set of all infinite subsets of X. The proofs yield the same results for Borel partitions in ZFC, and for more complex partitions in any model satisfying a certain degree of generic absoluteness. (shrink)

Why the narrative self? -- Contemporary interest in narrative theory -- Is the self real or illusory? -- Dennett's brand of naturalism -- The heterophenomenological method (HM) -- Consciousness and the self -- The naturalist narrative self -- Puzzle cases -- The HM and the narrative self -- The limitations of Dennett's account -- The limits of language -- Epistemological fragility -- Ontological fragility -- Naturalism and phenomenology -- Confronting naturalism -- Phenomenology and hermeneutics -- The detour of interpretation -- (...) Reflexivity -- The problem of personal identity -- The number of selves, identity relations and truth -- The capable self and its narrative identity -- Narrative identity and aristotelian muthos -- Narrative recounting of human lives -- LPSE-identity and literary puzzle cases -- Certainty, knowledge and attestation -- Narrative attestation -- Fact and fiction -- Narrative attestation -- The limitations of Ricoeur's account -- Selective appeals to literary and psychoanalytic discourses -- Focus on the self-examining self -- The ontological status of the narrative self -- The epistemological status of the narrative self -- The practical self -- Why the narrative self? (shrink)

In order to consider the influence of tangible property on the exercise of political rights in the work of John Locke, we’ll analyze, first, the distribution and acreage measurement of the requirements for political participation and the exercise of public functions in The Fundamental Constitutions of Carolina ; secondly, the considerations on land ownership, as a means of production, and the wage labor in Chapter V of Two Treatises of Government , II; finally, we’ll analyze the patrimonial restrictions for the (...) access to political rights, as well as the suggested participation for workers in Some Considerations of the Lowering of Interest, and Raising the Value of Money. (shrink)

From Kosovo to Québec, Ireland to East Timor, nationalism has been a recurrent topic of intense debate. It has been condemned as a source of hatred and war, yet embraced for stimulating community feeling and collective freedom. Joan Cocks explores the power, danger, and allure of nationalism by examining its place in the thought of eight politically engaged intellectuals of the nineteenth and twentieth centuries: the antagonist of capital, Karl Marx; the critics of imperialism Rosa Luxemburg, Hannah Arendt, and (...) Frantz Fanon; the liberal pluralist Isaiah Berlin; the neonationalist Tom Nairn, and the post-colonial writers, V. S. Naipaul and Edward Said. Cocks not only sheds new light on the complexities of nationalism but also reveals the tensions that have inspired and troubled intellectuals who have sought to lead lives between detached criticism and political passion.In lively, conversational prose, Cocks assesses their treatment of questions such as the mythology of national identity, the right to national self-determination, and the morality of nationalist violence. While ultimately critical of nationalism, she engages sympathetically even with its defenders. By illuminating the links that distinguished minds have drawn between thought and action on nationalism in politics, this stimulating work provides a rich foundation from which we ourselves might think or act more wisely when confronting a phenomenon that, in fundamental and perplexing ways, has shaped our world. (shrink)

If A ⊆ ω1, then there exists a cardinal preserving generic extension [MATHEMATICAL DOUBLE-STRUCK CAPITAL L][A ][x ] of [MATHEMATICAL DOUBLE-STRUCK CAPITAL L][A ] by a real x such that1) A ∈ [MATHEMATICAL DOUBLE-STRUCK CAPITAL L][x ] and A is Δ1HC in [MATHEMATICAL DOUBLE-STRUCK CAPITAL L][x ];2) x is minimal over [MATHEMATICAL DOUBLE-STRUCK CAPITAL L][A ], that is, if a set Y belongs to [MATHEMATICAL DOUBLE-STRUCK CAPITAL L][x ], then either x ∈ [MATHEMATICAL DOUBLE-STRUCK CAPITAL L][A, Y ] or Y (...) ∈ [MATHEMATICAL DOUBLE-STRUCK CAPITAL L][A ].The forcing we use implicitly provides reshaping of the given set A. (shrink)

Angelaki, Volume 17, Issue 2, Page 31-48, June 2012.

In April 2004 the Irish Government commissioned Judge Maureen Harding Clark to compile a report to ascertain the rate of caesarean hysterectomies at Our Lady of Lourdes Hospital in Drogheda, Republic of Ireland. The report came about as a result of complaints by midwives into questionable practices that were mainly (but not solely) attributed to one particular obstetrician. In this article we examine the findings of this Report through a feminist lens in order to explore what a feminist reading of (...) the Report and the events that led to the inquiry will bring to light. We consider how sex and gender feature in the Lourdes case, draw attention to the deeply gendered asymmetries of power and privilege that existed between the men and women at the centre of this inquiry, and explore the impact such asymmetries had on this particular situation. (shrink)

We prove two general results about the preservation of extendible and $C^{(n)}$ -extendible cardinals under a wide class of forcing iterations (Theorems 5.4 and 7.5). As applications we give new proofs of the preservation of Vopěnka’s Principle and $C^{(n)}$ -extendible cardinals under Jensen’s iteration for forcing the GCH [17], previously obtained in [8, 27], respectively. We prove that $C^{(n)}$ -extendible cardinals are preserved by forcing with standard Easton-support iterations for any possible $\Delta _2$ -definable behaviour of the power-set function on (...) regular cardinals. We show that one can force proper class-many disagreements between the universe and HOD with respect to the calculation of successors of regular cardinals, while preserving $C^{(n)}$ -extendible cardinals. We also show, assuming the GCH, that the class forcing iteration of Cummings–Foreman–Magidor for forcing $\diamondsuit _{\kappa ^+}^+$ at every $\kappa $ [10] preserves $C^{(n)}$ -extendible cardinals. We give an optimal result on the consistency of weak square principles and $C^{(n)}$ -extendible cardinals. In the last section prove another preservation result for $C^{(n)}$ -extendible cardinals under very general (not necessarily definable or weakly homogeneous) class forcing iterations. As applications we prove the consistency of $C^{(n)}$ -extendible cardinals with $\mathrm {{V}}=\mathrm {{HOD}}$, and also with $\mathrm {GA}$ (the Ground Axiom) plus $\mathrm {V}\neq \mathrm {HOD}$, the latter being a strengthening of a result from [14]. (shrink)

We address Steel’s Programme to identify a ‘preferred’ universe of set theory and the best axioms extending $\mathsf {ZFC}$ by using his multiverse axioms $\mathsf {MV}$ and the ‘core hypothesis’. In the first part, we examine the evidential framework for $\mathsf {MV}$, in particular the use of large cardinals and of ‘worlds’ obtained through forcing to ‘represent’ alternative extensions of $\mathsf {ZFC}$. In the second part, we address the existence and the possible features of the core of $\mathsf {MV}_T$ (where (...) T is $\mathsf {ZFC}$ +Large Cardinals). In the last part, we discuss the hypothesis that the core is Ultimate-L, and examine whether and how, based on this fact, the Core Universist can justify V=Ultimate-L as the best (and ultimate) extension of $\mathsf {ZFC}$. To this end, we take into account several strategies, and assess their prospects in the light of $\mathsf {MV}$ ’s evidential framework. (shrink)

Mathematics is the most chameleon of subjects, whose meaning is differently defined in different circumstances. This essay considers the mathematics of Augustus De Morgan as an illustration of the ways that the essence of the subject, the very objects that are included within it, has been adjusted in response to cultural factors. Since these cultural factors are the same ones that shape scientific development, the argument is that the history of mathematics and the history of science are always inextricably bound (...) to one another. (shrink)