Est-il possible de parler de ce qui n’est pas ou d’y penser sans présupposer une forme d’être pour cela même que nous pensons ne pas exister? La vieille énigme parménidienne, qui hante toujours la philosophie contemporaine, est au cœur non seulement de la philosophie médiévale mais aussi des études médiévales, comme en témoigne le récent ouvrage d’Alain de Libera sur la référence vide. L’objet de cette étude est en comparaison beaucoup plus...

A study is reported testing two hypotheses about a close parallel relation between indicative conditionals, if A then B , and conditional bets, I bet you that if A then B . The first is that both the indicative conditional and the conditional bet are related to the conditional probability, P(B|A). The second is that de Finetti's three-valued truth table has psychological reality for both types of conditional— true , false , or void for indicative conditionals and win , lose (...) , or void for conditional bets. The participants were presented with an array of chips in two different colours and two different shapes, and an indicative conditional or a conditional bet about a random chip. They had to make judgements in two conditions: either about the chances of making the indicative conditional true or false or about the chances of winning or losing the conditional bet. The observed distributions of responses in the two conditions were generally related to the conditional probability, supporting the first hypothesis. In addition, a majority of participants in further conditions chose the third option, “void”, when the antecedent of the conditional was false, supporting the second hypothesis. (shrink)

The aim of this paper is to clarify the role of category theory in the foundations of mathematics. There is a good deal of confusion surrounding this issue. A standard philosophical strategy in the face of a situation of this kind is to draw various distinctions and in this way show that the confusion rests on divergent conceptions of what the foundations of mathematics ought to be. This is the strategy adopted in the present paper. It is divided into 5 (...) sections. We first show that already in the set theoretical framework, there are different dimensions to the expression foundations of. We then explore these dimensions more thoroughly. After a very short discussion of the links between these dimensions, we move to some of the arguments presented for and against category theory in the foundational landscape. We end up on a more speculative note by examining the relationships between category theory and set theory. (shrink)

Supra-Bayesianism is the Bayesian response to learning the opinions of others. Probability pooling constitutes an alternative response. One natural question is whether there are cases where probability pooling gives the supra-Bayesian result. This has been called the problem of Bayes-compatibility for pooling functions. It is known that in a common prior setting, under standard assumptions, linear pooling cannot be nontrivially Bayes-compatible. We show by contrast that geometric pooling can be nontrivially Bayes-compatible. Indeed, we show that, under certain assumptions, geometric and (...) Bayes-compatible pooling are equivalent. Granting supra-Bayesianism its usual normative status, one upshot of our study is thus that, in a certain class of epistemic contexts, geometric pooling enjoys a normative advantage over linear pooling as a social learning mechanism. We discuss the philosophical ramifications of this advantage, which we show to be robust to variations in our statement of the Bayes-compatibility problem. (shrink)

It is popular to hold that emotions are evaluative. On the standard account, the evaluative character of emotion is understood in epistemic terms: emotions apprehend or make us aware of value properties. As this account is commonly elaborated, emotions are experiences with evaluative intentional content. In this paper, I am concerned with a recent alternative proposal on how emotions afford awareness of value. This proposal does not ascribe evaluative content to emotions, but instead conceives of them as evaluative at the (...) level of intentional mode or attitude. I first argue that this proposal fails to make emotions intelligible as value apprehensions. There are reasons to suppose that emotions do not apprehend value to begin with, but are related to values in a different, non-epistemic sense. I then go on to show that the notion of an evaluative intentional mode can still help elucidate the evaluative character of emotion. I argue that there is a plausible non-epistemic understanding of the view that emotions are evaluative modes. On this account, emotions are not ways of apprehending values, but ways of acknowledging values. (shrink)

It is a popular thought that emotions play an important epistemic role. Thus, a considerable number of philosophers find it compelling to suppose that emotions apprehend the value of objects and events in our surroundings. I refer to this view as the Epistemic View of emotion. In this paper, my concern is with a rivaling picture of emotion, which has so far received much less attention. On this account, emotions do not constitute a form of epistemic access to specific axiological (...) aspects of their objects. Instead it proposes that they are ways of taking a stand or position on the world. I refer to this as the Position-Taking View of emotion. Whilst some authors seem sympathetic to this view, this it has so far not been systematically motivated and elaborated. In this paper, I fill this gap and propose a more adequate account of our emotional engagement with the world than the predominant epistemic paradigm. I start by highlighting the specific way in which emotions are directed at something, which I contrast with the intentionality of perception and other forms of apprehension. I then go on to offer a specific account of the valence of emotion and show how this account and the directedness of emotions makes them intelligible as a way of taking a position on something. (shrink)

The relation between extension and impenetrability is a major issue in the Descartes-More correspondence, which implies an analysis of the concept of extension. The mereological structure partes extra partes is a crucial element here. Both philosophers hold two opposed views of this mereological structure. I try to show that these two views can be traced back to scholastic discussions on quantity’s relation to extension. This background provides a vantage point, which enables to propose a new construal of the argumentative exchange (...) around impenetrability, and which casts some light too on our understanding of two properties – spissitude and indiscerpibility – which More attributes to spiritual extension in his later writings. (shrink)

How to reconcile monadic simplicity with the successive plurality of the monadic states ? The doctrine of continued creation seems to entail the existence of independent temporal parts and thus lead to the thesis that the world contains only transitory things. I try to show how Leibniz has the resources to get out of this quandary. The analysis of the concept of extension shows that a plurality of states does not constitute a divisible aggregate. Then I examine the Leibnizian interpretation (...) of continued creation, by com- paring it to the scholastic and Cartesian Background. From thence I conclude that Leibniz’s final thesis is that monads are wholly present at each moment of their duration. (shrink)

In todays educational landscape, adapting teaching methods to the digital age is important. While traditional approaches remain essential, they may not fully engage students in multimedia-rich environments. This study evaluates multimedia tools effectiveness in teaching Filipino subjects to Grade 10 learners at Tikalaan National High School for School Year 2023-2024. It examines the impact of such tools on academic performance and student attitudes by comparing pretest and posttest results between control and experimental groups and its implications in teaching Filipino to (...) Grade 10 learners. The study involves Grade 10 students divided into two groups of thirty-five (35) both the Control Group and the Experimental Group. Data collection involved the Division-Based Quarterly Assessment for both pretest and posttest evaluations to measure academic progress. Additionally, a researcher-created survey is made to assess students attitudes towards multimedia tools. Respondents were selected through purposive sampling, focusing on characteristics relevant to the studys objectives. A quasi-experimental design was used, comparing the pretest and posttest results of both groups to determine multimedia tools effectiveness. Statistical analyses, including T-test, ANOVA, and F-test, were used to evaluate the significance of observed differences. The study reveals significant improvement in academic performance and a positive shift in attitudes towards multimedia tools among the experimental group. These findings suggest that multimedia tools can enhance learners academic performance and foster greater student engagement. It underscores the importance of integrating multimedia tools into educational practices to improve teaching and learning outcomes. Recommendations include incorporating multimedia into the curriculum and providing professional development for educators to maximize these tools effectiveness. (shrink)

A prominent version of emotional cognitivism is the view that emotions are preceded by awareness of value. In a recent paper, Jonathan Mitchell (2019) has attacked this view (which he calls the content-priority view). According to him, extant suggestions for the relevant type of pre-emotional evaluative awareness are all problematic. Unless these problems can be overcome, he argues, the view does not represent a plausible competitor to rivaling cognitivist views. As Mitchell supposes, the view is not mandatory since its core (...) motivations can be accommodated by competing views, too. I argue that Mitchell's case against the content-priority view is unconvincing as it misconceives the principal motivation for the view. As I show, properly reconstructed, this motivation provides a strong case for the indispensability of the view to any adequate cognitivist treatment of emotion. Moreover, Mitchell's survey of candidates for pre-emotional value awareness can be seen to rest on problematic phenomenological assumptions. (shrink)

In this paper, we try to establish that some mathematical theories, like K-theory, homology, cohomology, homotopy theories, spectral sequences, modern Galois theory (in its various applications), representation theory and character theory, etc., should be thought of as (abstract) machines in the same way that there are (concrete) machines in the natural sciences. If this is correct, then many epistemological and ontological issues in the philosophy of mathematics are seen in a different light. We concentrate on one problem which immediately follows (...) the recognition of the particular status of these theories: the demarcation problem between ‘natural kinds’ and ‘artefacts’. (shrink)

Selon l’interprétation traditionnelle, la révolution copernicienne, qui opère le passage du géocentrisme à l’héliocentrisme, aurait détrôné et dévalorisé l’homme, en lui retirant sa position cen­trale, et donc privilégiée, dans le cosmos, pour le reléguer sur une planète devenue analogue aux autres et occupant une place quelconque à l’intérieur du système solaire. Cette inter­prétation ne pèche pas seulement dans sa compréhension de l’héliocentrisme copernicien, mais également dans sa percep­tion du géocentrisme aristotélico-médiéval. Il faut donc dénon­cer sa fausseté générale et, plus encore, (...) lui substituer un autre schéma interprétatif qui, peut-être moins évocateur de notre rapport au monde, soit plus respectueux de la vérité historique. ––– According to the traditional interpretation, the Copernican revo­lution, which brought about the transfer from geocentrism to heliocentrism, is said to have dethroned and devalued man by removing his central and hence privileged position in the cos­mos and by relegating him to a planet now seen as analogous to others occupying an insignificant position within the solar system. This interpretation fails not only in its understanding of Copernican heliocentrism, but also in its percep­tion of Aristo­telian mediaeval geocentrism. It is necessary, therefore, not only to denounce its general falsity, but also to substitute for it a different interpretative scheme which, although it may empha­size less our link with the world, may be more respectful of historical truth. (shrink)

Since the death of Jacques Lacan, Jean Laplanche is now considered to be one of the worlds foremost psychoanalytic thinkers. In spite of the influence of his work over the last thirty years, remarkably little has been available in English. Essays On Otherness presents for the first time in English many of Laplanche's key essays and is the first book to provide an overview of his thinking. It offers an introduction to many of the key themes that characterise his (...) work: seduction, persecution, revelation, masochism, transference and mourning. Such themes have been increasingly both in psychoanalytic thought and in continental philosophy, social and cultural theory, and literature making Essays On Otherness indispensable reading for all those concerned with the implications of psychoanalytic theory today. (shrink)

In this lyrical meditation on listening, Jean-Luc Nancy examines sound in relation to the human body. How is listening different from hearing? What does listening entail? How does what is heard differ from what is seen? Can philosophy even address listening, écouter, as opposed to entendre, which means both hearing and understanding? Unlike the visual arts, sound produces effects that persist long after it has stopped. The body, Nancy says, is itself like an echo chamber, responding to music by (...) inner vibrations as well as outer attentiveness. Since “the ear has no eyelid” (Quignard), sound cannot be blocked out or ignored: our whole being is involved in listening, just as it is involved in interpreting what it hears. The mystery of music and of its effects on the listener is subtly examined. Nancy’s skill as a philosopher is to bring the reader companionably along with him as he examines these fresh and vital questions; by the end of the book the reader feels as if listening very carefully to a person talking quietly, close to the ear. (shrink)

Bien sûr, «la philosophie des sciences sans l’histoire des scien­ces est vide et l’histoire des sciences sans la philosophie des sciences est aveugle» (Lakatos), mais cette formule célèbre ne méconnaît-elle pas l’importance dissymétrique de cette relation de dépendance réci­proque ? En effet, ne pourrait-on pas soute­nir que les philoso­phes des sciences désireux d’arriver à une juste et saine philosophie des sciences ont besoin, pour ce faire, des travaux des historiens des sciences, bien plus que ces der­­niers n’ont besoin, pour leurs (...) recons­tructions historiques, des écrits des philosophes des sciences ? Telle est la thèse, quelque peu provocatrice, que l’auteur tente de défendre : un séminaire ne doit-il pas être un lieu de débat ? ––– Of course, «the philosophy of science is empty without the history of science and the history of science is blind without the philosophy of science» (Lakatos). But does not this famous formula fail to recognize the importance of the dyssymetry of this relationship of mutual dependence ? Could it not be main­tained that the philos­ophers of science, in their search for a correct and healthy philos­ophy of science, need the works of the historians of science far more than the latter need the works of the philosophers of science for their historical work ? This is the somewhat provocative thesis we shall attempt to defend : should not a seminar be a forum for debate ? (shrink)

It is widely held that under ordinal utility, utility differences are ill-defined. Allegedly, for these to be well-defined (without turning to choice under risk or the like), one should adopt as a new kind of primitive quaternary relations, instead of the traditional binary relations underlying ordinal utility functions. Correlatively, it is also widely held that the key structural properties of quaternary relations are entirely arbitrary from an ordinal point of view. These properties would be, in a nutshell, the hallmark of (...) cardinal utility. While much is obviously true in these two tenets, this note explains why, as stated, they should be abandoned. Any ordinal utility function induces a rich quaternary relation. There is such a thing as ordinal utility differences. Furthermore, this induced quaternary relation respects, apart from completeness, the most standard structural properties of quaternary relations. These properties are, from an ordinal point of view, anything but arbitrary; from a quaternary perspective only completeness should be considered the hallmark—if any—of cardinal utility. These facts are explained to be especially relevant to the critical appreciation of the ordinalist methodology. (shrink)

This paper examines the problem of the basis of time’s asymmetry. I hold the view that there is an objective temporal asymmetry in Leibniz’s philosophy of time. I closely examine various asymmetrical phenomena, which can be candidates as an explanation of time’s asymmetry: (1) causation; (2) the flow of time; (3) the modal difference between past and present; (4) counterfactual dependence; and, finally (5) the asymmetry of the world’s progress and its direction and (6) of the progress of rational creatures. (...) I conclude that time’s asymmetry involves an irreducibly pragmatic aspect: the asymmetry of agency itself on which all other asymmetrical phenomena rely. (shrink)

I examine Bayle's infamous statement that Christian mysteries are not only "above" human reason, but are "against" it. I put it back in the context of 16th-17th century Reformed thought. I then discuss the relation between reason and faith according to Bayle.

Quien lea sobre el gueto y luego lea algo pseudointeligente o incluso genuinamente inteligente sobre nuestra moderna “civilización de masas”, debe soltar una risa amarga. Masas, “hombre masa”: no es el telespectador en su casa unifamiliar, incluso si está expuesto a la presión de los medios de comunicación de masas. El habitante del gueto se había convertido físicamente en uno con la masa, al mismo tiempo que luchaba sin sentido y desesperadamente contra las otras células de esta masa de carne. (...) El gueto era un tumor maligno de la humanidad. Cada uno de los que estaban hacinados en él lo entendía como tal y se sentía como la célula enferma de un organismo, lo que, objetivamente, realmente era. Por lo tanto, podía amarse a sí mismo tan poco como a la persona de al lado. (shrink)

Chapitre méthodologique d'un livre co-écrit par Éliane Pons et J.-J. Pinto. Ce dernier, pour raisons professionnelles, n'avait indiqué son nom que dans cette partie intitulée "Esquisse d'une psychanalyse scientifique" (allusion respectueuse au titre de Freud "Esquisse d'une psychologie scientifique"), où se trouve expliquée en détail la méthode originale d'analyse de discours inventée et enseignée par lui : l'Analyse des Logiques Subjectives© (A.L.S.©).

Structuralism has recently moved center stage in philosophy of mathematics. One of the issues discussed is the underlying logic of mathematical structuralism. In this paper, I want to look at the dual question, namely the underlying structures of logic. Indeed, from a mathematical structuralist standpoint, it makes perfect sense to try to identify the abstract structures underlying logic. We claim that one answer to this question is provided by categorical logic. In fact, we claim that the latter can be seen—and (...) probably should be seen—as being a structuralist approach to logic and it is from this angle that categorical logic is best understood. (shrink)

The representational theory of measurement has long been the central paradigm in the philosophy of measurement. Such is not the case anymore, partly under the influence of the critique according to which RTM offers too poor descriptions of the measurement procedures actually followed in science. This can be called the metrological critique of RTM. I claim that the critique is partly irrelevant. This is because, in general, RTM is not in the business of describing measurement procedures, be it in idealized (...) form. To support this claim, I present various cases where RTM can be said to investigate measurement without providing any measurement procedure. Such limit cases lead to a better understanding of the RTM project. They also illustrate some of the questions which the philosophy of measurement can explore, when it is ready to go beyond the metrological viewpoint. (shrink)

The paper challenges the assumption, common amongst philosophers, that the reality described in the fundamental theories of microphysics is all the reality we have. It will be argued that this assumption is in fact incompatible with the nature of such theories. It will be shown further that the macro-world of three-dimensional bodies and of such qualitative structures as colour and sound can be treated scientifically on its own terms, which is to say not only from the perspective of psychology but (...) also ontologically. A new sort of emergentist position will be defended, one which yields the basis of a method for describing the perceptually salient macroscopic world in mathematical terms. Broadly, it will be argued that the macroscopic world exists in virtue of certain specific sorts of boundary-patterns in the field of what is captured by the theories of microphysics. (shrink)

A formalism is introduced to represent the connective organization of an evolving neuronal network and the effects of environment on this organization by stabilization or degeneration of labile synapses associated with functioning. Learning, or the acquisition of an associative property, is related to a characteristic variability of the connective organization: the interaction of the environment with the genetic program is printed as a particular pattern of such organization through neuronal functioning. An application of the theory to the development of the (...) neuromuscular junction is proposed and the basic selective aspect of learning emphasized. (shrink)

Bringing together two aspects of Thomas Aquinas's thought that have been studied separately: his theory of God's concurrence and his theory of instrumental causality, I show how he uses the latter (which I discuss first) to clarify the Proclusian principle that the first cause has a greater influence on an effect than the proximate causes. Thanks to this theory, Aquinas accounts for the fact that it is God who confers existence to every new being that is produced by natural processes, (...) without however negating the agency of secondary, created causes. (shrink)

In this paper, we argue that, contrary to the view held by most philosophers of mathematics, Bourbaki’s technical conception of mathematical structuralism is relevant to philosophy of mathematics. In fact, we believe that Bourbaki has captured the core of any mathematical structuralism.

Fefermans argument is indeed convincing in a certain context, it can be dissolved entirely by modifying the context appropriately.

The Dominican theologian Durand of Saint-Pourçain (ca. 1275–1334), breaking from the wide consensus, made a two-pronged attack on concurrentism (i.e., the theory according to which God does more than conserving creatures in existence and co-causes all their actions). On the one hand, he shows that the concurrentist position leads to the unacceptable consequence that God is the direct cause of man’s evil actions. On the other hand, he attacks the metaphysical foundations of concurrentism, first in the version offered by Thomas (...) Aquinas and Giles of Rome, and then in a more general way. Against Thomas and Giles, he challenges Neoplatonic assumptions about causality and being. More generally, he establishes that God’s action and a creature’s action can be neither identical nor different, and thus cannot both be direct causes of the same effect. Without claiming that Durand’s series of objections are definitely unanswerable, we may at least observe that they have generally been underestimated (which earned him the lowly role of the mere foil of the concurrentist view in the history of philosophy) and are able to do considerable damage to concurrentism. (shrink)

This article aims to establish that Descartes accepted the scholastic view that God’s duration in itself (“eternity”) is not successive but “all at once,” as opposed to temporal things’ durations. Though most scholars have assumed this to be Descartes’ view, Geoffrey Gorham recently called it into question with a number of strong arguments. We contest his interpretation on multiple grounds. First, we show that when Descartes asserts that a duration which is “all at once” is “inconceivable,” he is not making (...) a metaphysical claim but, rather, is making an epistemological one, based on the limitations of the human intellect in understanding the attributes of God. Second, we object to a number of Gorham’s systematic reconstructions of Descartes’ views. He argues among other things that divine simplicity is consistent with temporal parts and that the laws of Cartesian physics require God to have temporal parts. We refute these claims based on Descartes’ fundamental metaphysical commitments. We thus conclude that Descartes does not think that, per se, God’s existence unfolds successively, moment after moment. (shrink)

This paper investigates the notion of ‘distributed cognition’—the idea that entities external to one’s organic brain participate in one’s overall cognitive functioning—and the challenges it poses to the notion of personhood. Related to this is also a consideration of the ever-increasing ways in which neuroprostheses replace and functionally replicate organic parts of the brain. However, the literature surrounding such issues has tended to take an almost exclusively physicalist approach. The common assumption is that, given that non-physicalist theories (chiefly, dualism, and (...) hylomorphism) postulate some form of immaterial ‘soul’, then they are immune from the challenges that these advances in cognitive science pose. The first aim of this paper, therefore, is to argue that this is not the case. The second aim of this paper is to attempt to elucidate a route available for the non-physicalists that will allow them to accept the notion of distributed cognition. By appealing to an Aristotelian framework, I propose that the non-physicalist can accept the notion of distributed cognition by appealing to the notion of ‘unitary life’ which I introduce, as well as to Aristotle’s dichotomy between active and passive mind. (shrink)

I first explain the scholastic (Scotist) thesis on the independence of essences Bayle alludes to in the passage of the Continuation des Pensée Diverses where he presents the Stratonicians' and the Chinese philosophers' retorsion. Then, I show that this retorsion applies to the argument of the existence of God based on "aseity", but not to the occasionalist argument based on the "quod nescis" principle. I conclude that materialism (the "Stratonician hypothesis") cannot be, for Bayle, a satisfying system.

It is popular to hold that our primary epistemic access to specific response-dependent properties like the fearsome or admirable (or so-called ‘affective properties’) is constituted by the corresponding emotion. I argue that this view is incompatible with a widely held meta-ethical view, according to which affective properties have deontic force. More specifically, I argue that this view cannot accommodate for the requirement that deontic entities provide guidance. If affective properties are to guide the formation of the corresponding emotion, our primary (...) access to them cannot be provided by that same emotion. (shrink)

In this paper, I examine the problem of Bayle's skepticism. I show that he is not a wholesale skeptic. Rather, he thinks that reason is plagued by internal conflicts. But its principles, which clash with each other, can be adopted separately from each other. It is often what we have to do when dealing with metaphysical problems. This also entails that reason is not to be rejected as a whole when it happens to be contradicted by faith; only some of (...) its principles have to be denied, and solely in that case. Further, Bayle believes that we possess absolute certainly in our knowledge of ethical principles. I show how this is compatible with his relativism in other domains by putting back his contention in the context of Reformed thought. (shrink)

The problem of the intensification and remission of qualities was a crux for philosophical, theological, and scientific thought in the Middle Ages. It was raised in Antiquity with this remark of Aristotle: some qualities, as accidental beings, admit the more and the less. Admitting more and less is not a trivial property, since it belongs neither to every category of being, nor to every quality. Rather it applies only to states and dispositions such as virtue, to affections of bodies such (...) as heat and sweetness, and to affections of soul such as anger. However, the property of admitting more and less was a matter of importance for the qualitative physics that had reigned up to about the time of Descartes, a physics which was concerned with concepts such as heat, coldness, lightness, heaviness, and so on. (shrink)

This paper examines the preference-based approach to the identification of beliefs. It focuses on the main problem to which this approach is exposed, namely that of state-dependent utility. First, the problem is illustrated in full detail. Four types of state-dependent utility issues are distinguished. Second, a comprehensive strategy for identifying beliefs under state-dependent utility is presented and discussed. For the problem to be solved following this strategy, however, preferences need to extend beyond choices. We claim that this a necessary feature (...) of any complete solution to the problem of state-dependent utility. We also argue that this is the main conceptual lesson to draw from it. We show that this lesson is of interest to both economists and philosophers. (shrink)

Physical reality is all the reality we have, and so physical theory in the standard sense is all the ontology we need. This, at least, was an assumption taken almost universally for granted by the advocates of exact philosophy for much of the present century. Every event, it was held, is a physical event, and all structure in reality is physical structure. The grip of this assumption has perhaps been gradually weakened in recent years as far as the sciences of (...) mind are concerned. When it comes to the sciences of external reality, however, it continues to hold sway, so that contemporary philosophers B even while devoting vast amounts of attention to the language we use in describing the world of everyday experience B still refuse to see this world as being itself a proper object of theoretical concern. Here, however, we shall argue that the usual conception of physical reality as constituting a unique bedrock of objectivity reflects a rather archaic view as to the nature of physics itself and is in fact incompatible with the development of the discipline since Newton. More specifically, we shall seek to show that the world of qualitative structures, for example of colour and sound, or the commonsense world of coloured and sounding things, can be treated scientifically (ontologically) on its own terms, and that such a treatment can help us better to understand the structures both of physical reality and of cognition. (shrink)

The Sure-Thing Principle famously appears in Savage’s axiomatization of Subjective Expected Utility. Yet Savage introduces it only as an informal, overarching dominance condition motivating his separability postulate P2 and his state-independence postulate P3. Once these axioms are introduced, by and large, he does not discuss the principle any more. In this note, we pick up the analysis of the Sure-Thing Principle where Savage left it. In particular, we show that each of P2 and P3 is equivalent to a dominance condition; (...) that they strengthen in different directions a common, basic dominance axiom; and that they can be explicitly combined in a unified dominance condition that is a candidate formal statement for the Sure-Thing Principle. Based on elementary proofs, our results shed light on some of the most fundamental properties of rational choice under uncertainty. In particular they imply, as corollaries, potential simplifications for Savage’s and the Anscombe- Aumann axiomatizations of Subjective Expected Utility. Most surprisingly perhaps, they reveal that in Savage’s axiomatization, P3 can be weakened to a natural strengthening of so-called Obvious Dominance. (shrink)