A maximal almost disjoint (mad) family $\mathscr{A} \subseteq [\omega]^\omega$ is Cohen-stable if and only if it remains maximal in any Cohen generic extension. Otherwise it is Cohen-unstable. It is shown that a mad family, A, is Cohen-unstable if and only if there is a bijection G from ω to the rationals such that the sets G[A], A ∈A are nowhere dense. An ℵ 0 -mad family, A, is a mad family with the property that given any countable family $\mathscr{B} \subset (...) [\omega]^\omega$ such that each element of B meets infinitely many elements of A in an infinite set there is an element of A meeting each element of B in an infinite set. It is shown that Cohen-stable mad families exist if and only if there exist ℵ 0 -mad families. Either of the conditions b = c or $\mathfrak{a} ) implies that there exist Cohen-stable mad families. Similar results are obtained for splitting families. For example, a splitting family, S, is Cohen-unstable if and only if there is a bijection G from ω to the rationals such that the boundaries of the sets G[S], S ∈S are nowhere dense. Also, Cohen-stable splitting families of cardinality ≤ κ exist if and only if ℵ 0 -splitting families of cardinality ≤ κ exist. (shrink)

The game Gls(κ) is played on a complete Boolean algebra B, by two players. White and Black, in κ-many moves (where κ is an infinite cardinal). At the beginning White chooses a non-zero element p ∈ B. In the α-th move White chooses pα ∈ (0.p)p and Black responds choosing iα ∈ {0.1}. White wins the play iff $\bigwedge _{\beta \in \kappa}\bigvee _{\alpha \geq \beta }p_{\alpha}^{i\alpha}=0$ , where $p_{\alpha}^{0}=p_{\alpha}$ and $p_{\alpha}^{1}=p\ p_{\alpha}$ . The corresponding game theoretic properties of c.B.a.'s are (...) investigated. So. Black has a winning strategy (w.s) if κ ≥ π(B) or if B contains a κ -closed dense subset. On the other hand, if White has a w.s., then κ ∈ [h₂(B). π(B)). The existence of w.s. is characterized in a combinatorial way and in terms of forcing. In particular, if 2κ = κ ∈ Reg and forcing by B preserves the regularity of κ, then White has a w.s. iff the power 2κ is collapsed to κ in some extension. It is shown that, under the GCH, for each set S ⊆ Reg there is a c.B.a. B such that White (respectively. Black) has a w.s. for each infinite cardinal κ ∈ S (resp. κ ∉ S). Also it is shown consistent that for each κ ∈ Reg there is a c.B.a. on which the game Gls(κ) is undetermined. (shrink)

We study the partial orderings of the form ⟨P,⊂⟩\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\langle \mathbb{P}, \subset\rangle}$$\end{document}, where X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{X}}$$\end{document} is a binary relational structure with the connectivity components isomorphic to a strongly connected structure Y\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{Y}}$$\end{document} and P\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{P} }$$\end{document} is the set of substructures of X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} (...) \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {X}}$$\end{document} isomorphic to X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{X}}$$\end{document}. We show that, for example, for a countable X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{X}}$$\end{document}, the poset ⟨P,⊂⟩\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\langle \mathbb {P}, \subset\rangle}$$\end{document} is either isomorphic to a finite power of P\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{P} }$$\end{document} or forcing equivalent to a separative atomless σ-closed poset and, consistently, to P/fin. In particular, this holds for each ultrahomogeneous structure X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{X}}$$\end{document} such that X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{X}}$$\end{document} or Xc\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{X}^{c}}$$\end{document} is a disconnected structure and in this case Y\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{Y}}$$\end{document} can be replaced by an ultrahomogeneous connected digraph. (shrink)

A sequence x=xn:nω of elements of a complete Boolean algebra converges to a priori if lim infx=lim supx=b. The sequential topology τs on is the maximal topology on such that x→b implies x→τsb, where →τs denotes the convergence in the space — the a posteriori convergence. These two forms of convergence, as well as the properties of the sequential topology related to forcing, are investigated. So, the a posteriori convergence is described in terms of killing of tall ideals on ω, (...) and it is shown that the a posteriori convergence is equivalent to the a priori convergence iff forcing by does not produce new reals. A property of c.B.a.’s, satisfying -cc -cc and providing an explicit definition of the a posteriori convergence, is isolated. Finally, it is shown that, for an arbitrary c.B.a. , the space is sequentially compact iff the algebra has the property and does not produce independent reals by forcing, and that implies P is the unique sequentially compact c.B.a. in the class of Suslin forcing notions. (shrink)

A complete Boolean algebra ${\mathbb{B}}$ satisfies property ${(\hbar)}$ iff each sequence x in ${\mathbb{B}}$ has a subsequence y such that the equality lim sup z n = lim sup y n holds for each subsequence z of y. This property, providing an explicit definition of the a posteriori convergence in complete Boolean algebras with the sequential topology and a characterization of sequential compactness of such spaces, is closely related to the cellularity of Boolean algebras. Here we determine the position of (...) property ${(\hbar)}$ with respect to the hierarchy of conditions of the form κ-cc. So, answering a question from Kurilić and Pavlović (Ann Pure Appl Logic 148(1–3):49–62, 2007), we show that ${``\mathfrak{h}{\rm -cc}\Rightarrow (\hbar)"}$ is not a theorem of ZFC and that there is no cardinal ${\mathfrak{k}}$ , definable in ZFC, such that ${``\mathfrak{k} {\rm -cc} \Leftrightarrow (\hbar)"}$ is a theorem of ZFC. Also, we show that the set ${\{ \kappa : {\rm each}\, \kappa{\rm -cc\, c.B.a.\, has}\, (\hbar ) \}}$ is equal to ${[0, \mathfrak{h})}$ or ${[0, {\mathfrak h}]}$ and that both values are consistent, which, with the known equality ${{\{\kappa : {\rm each\, c.B.a.\, having }\, (\hbar )\, {\rm has\, the}\, \kappa {\rm -cc } \} =[{\mathfrak s}, \infty )}}$ completes the picture. (shrink)

Cognitive overlap between art and science can be found in the processes of learning through experience. What necessarily needs to be present in these processes are not good reasons in favor of what is known or learnt, but the following features: The first feature art and science have in common is the negativity of learning processes: What a cognizer C learns through experience is that her theories, expectations, attitudes, trials, etc. are wrong and should be abandoned in order to advance. (...) This leads us to the second common feature of art and science: if C is to err, and thus to learn through experience, she must create something in advance. It is further argued that C learns through experience due to causal relations between the environment and her sensations and beliefs. This cannot be accomplished, however, if C is not aware of the notion of objective truth. Empirical knowledge is social and public, yet its truth is not reducible to social agreement. More could be learnt about the learning through experience in art and science, if anyone showed that some of the features or relations proposed in this paper are not necessary for learning. (shrink)

Atque illo die certe Aricia rediens devertit Clodius ad se in Albanum: quod ut sciret Milo ilium Ariciae fuisse, suspicari tamen debuit eum, etiam si Romam illo die reverti vellet, ad villam suam, quae viam tangeret, deversurum.THIS passage is interesting in that its argument runs counter to the main picture which Cicero had earlier presented of the movements of Milo and Clodius before they met on the Appian Way in January 52 B.C. In an earlier passage Cicero says: ‘Interim cum (...) sciret Clodius–neque enim difficile erat id scire–xiter sollemne, legitimum, necessarium ante diem XIII Kalendas Februarias Miloni esse Lanuvium ad flaminem prodendum, quod erat dictator Lanuvii Milo, Roma subito ipse profectus pridie est, ut ante suum fundum, quod re intellectum est, Miloni insidias conlocaret.’ Cicero remains true to this latter version in all the relevant arguments concerning the motives and movements of Clodius and Milo. Milo had legitimate business at Lanuvium, and hence a legitimate reason for being on the road at the time of the affray; Clodius′ presence is explained by Cicero as due solely to the desire to place an ambush for his enemy at a convenient spot, i.e. in front of his farm, and for this reason he had set out from Rome a day before Milo, when his presence was really required in Rome. (shrink)

In 2006, Bill Crain was a psychology professor and his wife, Ellen, a pediatrician. They purchased a run-down farm in upstate New York, and two years later opened Safe Haven Farm Sanctuary. It is now home to over 170 animals rescued from slaughter. In Animal Stories, Bill writes about how he and Ellen decided to start the sanctuary and tells the stories of 25 animals and their many surprising behaviors. Read about Katie, a hen who cared for a little partridge; (...) Cesar, a little goat who constantly gets into trouble; Reggie, a rooster who instilled fear in all the staff; Milo, a goat who suddenly charged the dominant Duncan to defend his mother; four rambunctious young turkeys who quietly listened to a reverent Girl Scout ceremony; Ducky, a turkey who, despite severe arthritis, walked from her barn to greet a Buddhist monk; Ethel, an elderly cow who assumes the responsibility of a matriarch; and many others. In addition to enjoying the stories, readers will learn a great deal about nonhuman animals. (shrink)

The book is an exploration of the medical, legal, moral and cultural aspects of the practice of circumcision. The title suggests that the book will cover both topics, male and female circumcision. This, however, is misleading. The main focus of this collection is on male circumcision. This is problematic because the fact that female circumcision is left with much less attention means the reader may get the false impression that the practice of female genital mutilation (FGM) is not very widely (...) spread or has less serious consequences than male circumcision. In reality, however, FGM is still extensively practised in different parts of the world and due to its radical nature its physical, mental and social effects are usually even more devastating than those of male circumcision. This important fact is undermined in the very first chapter of the book, in which the trauma of male circumcision is emphasised by the claim that the differences between …. (shrink)

Before daybreak on 23 November 57 B.C., about 11 weeks after his return from exile, Cicero wrote to Atticus and recorded for him, in diary form, events at Rome between 3 November and the date of writing. Clodius and his gangs were still causing trouble on the streets, interfering with the rebuilding of Cicero's house on the Palatine, and even molesting Cicero himself. Clodius was a candidate for the curule aedileship; if he were elected, he would succeed in evading the (...) accusation for vis which had been brought against him by Milo; he therefore made full use of his gangs to intimidate Rome and thus accelerate the elections. He was supported in this manœuvre by the consul Q. Caecilius Metellus Nepos, who planned to hold the comitia by surprise; this plan, however, was being thwarted by the tribune Milo, who was ready to use his power of obnuntiatio to prevent the elections being held. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:American Journal of Philology 121.4 (2000) 655-658 [Access article in PDF] RONALD MELLOR. The Roman Historians. London and New York: Routledge, 1999. x + 212 pp. Paper, $21.99. This is a textbook, the purpose of which is to provide "an introduction to the masterpieces of Roman historical and biographical writing" (ix). Although the question of the usefulness of these writings to the modern historian is not overlooked, the principal (...) concern is "to take Roman historical writing on its own terms" (196). Very little background is assumed, and no Latin (by "Roman" the title refers to works composed in Latin, regardless of subject matter: hence Nepos' Pelopidas is in, but Polybius, Diodorus, and Dio are out, except [End Page 655] as background or comparanda). The author is a distinguished Tacitean scholar, and his style is at once clear and attractive. His survey begins with the origins of Roman historiography, with special attention given to what can be known of the early annalists, to the contribution of the elder Cato, and especially to Cicero's verdict on the efforts of them all. Fine chapters on Sallust and Livy follow, and, naturally in view of the author's predilections, a long and adoring chapter on Tacitus. Ammianus Marcellinus also gets his due, in a chapter that is actually longer than Sallust's. A single chapter is devoted to Roman biography (Nepos, Tacitus once more, Suetonius and the Historia Augusta), another to autobiography (Caesar, Augustus' Res Gestae). An appraisal of the Roman achievement, and its influence, concludes the book. The strengths of Mellor's treatment of every author and every subject are many. He is keenly attentive to ancient expectations and the particular context of the central authors whose works he examines; he is especially good at fitting the purposes of a historian's writings to the historian's actual circumstances. He constantly reminds the reader of the differences between Roman and modern conceptions of historical writing. He appreciates the importance of style in appraising and understanding ancient historiography. And he makes frequent acute observations that will save instructors who use this book a good deal of time and explanation, as when he remarks of Tacitean characterization that, "since he could not easily explain ambiguities, they are expressed as contradictions" (104). In sum, then, the volume is intelligent, congenial, and will be very serviceable in courses dealing with Roman history or with historiography.It is inevitable, when anyone reviews a work of such scope, that there will be quibbles. Let me record a few of mine. Students are likely to be misled by the use of "plebeian" on p. 20. To say that, in 52 B.C., Clodius Pulcher was "Caesar's man," in contrast to Milo who by implication was Pompey's (31), is to get it wrong (cf. W. Jeffrey Tatum, The Patrician Tribune [Chapel Hill 1999] 214-15, 234-35). Since Caesar reached the senior magistracies at the earliest possible age, it is not clear to me that "his early career progressed slowly" (171). The view of Roman marriage represented on p. 69 is somewhat old-fashioned, and, along those lines, it is anachronistic to speak of "the bigamous marriage celebration of the empress Messalina" (90: Tacitus' Narcissus is accurate when at Ann. 11.30 he asks Claudius: an discidium... tuum nosti?). One does not often hear, these days, of the "clinical objectivity of Thucydides" (44). In discussing Sallust's attraction to Thucydides (43-45), it might have been helpful to discuss the (admittedly not uncomplicated) issue of Atticism in late-first-century Rome. I am less convinced than Mellor is that the speech of Sallust's Caesar constitutes the historian's "plea for common sense" (38) in the midst of the triumviral proscriptions; after all, Sallust wrote Cato's speech as well. It can hardly be true, if only in view of Pliny's keen interest in his friend's literary productivity, that Suetonius' Lives "is a book written by and for the equestrian" (152), nor do I think the description of the imperial equestrian order that is given on [End Page 656] that page... (shrink)

This article discusses two complementary themes that play an important role in contemporary South African political philosophy: (1) the racist tradition in Western philosophy; and (2) the role of ubuntu in regaining an authentic African identity, which was systematically suppressed during the colonial past and apartheid. These are also leading themes in Mogobe Ramose’s African Philosophy Through Ubuntu. The first part concentrates on John Locke. It discusses the thesis that the reprehensible racism of many founders of liberal political philosophy has (...) lethally infected liberal theory. This view neglects the distinction between genesis and justification. Political liberalism has since cleansed itself of the prejudices of its spiritual ancestors. Liberal human rights exclude racism as a matter of principle. The second part discusses the claim that the ubuntu philosophy provides a better basis for a constitution in a modern society than political liberalism. A major problem is that ubuntu is an essentially contested concept. Some philosophers consider ubuntu to be a moribund notion (Matolino); others see it as a vital concept par excellence. In the latter case, it is elaborated from sundry incompatible political views, ranging from African nationalism (Ramose) via humanist communitarianism (Metz) to liberalism (Mboti). Conclusion: as an essentially contested ideological concept, ubuntu should not be a decisive constitutional standard for the application of state force. In contrast, the constitutional model of political liberalism provides a reasonable alternative, as it is designed precisely to solve the problem of social plurality and ideological contest. (shrink)

Before daybreak on 23 November 57 B.C., about 11 weeks after his return from exile, Cicero wrote to Atticus and recorded for him, in diary form, events at Rome between 3 November and the date of writing. Clodius and his gangs were still causing trouble on the streets, interfering with the rebuilding of Cicero's house on the Palatine , and even molesting Cicero himself . Clodius was a candidate for the curule aedileship; if he were elected, he would succeed in (...) evading the accusation for vis which had been brought against him by Milo; he therefore made full use of his gangs to intimidate Rome and thus accelerate the elections. He was supported in this manœuvre by the consul Q. Caecilius Metellus Nepos, who planned to hold the comitia by surprise; this plan, however, was being thwarted by the tribune Milo, who was ready to use his power of obnuntiatio to prevent the elections being held. (shrink)

This paper considers whether a divine-command theory of moral obligation could justify morally horrible acts, partly by examining Kierkegaard’s writings. It argues that only the commands of a God who is essentially good could be morally justified, and thus no defensible version of a DCT could actually justify horrible acts. In Works of Love Kierkegaard defends such a DCT, and thus is committed to the claim that any actual commands of God must be aimed at the good. This is consistent (...) with the claim that if we knew that a command that is alleged to be from God is directed at what is bad, the command must not be authentic. The issue raised by Fear and Trembling, where Kierkegaard’s pseudonym Johannes de Silentio considers the “binding of Isaac” story, thus raises crucial epistemic issues, which cannot be settled without considering how one might come to know that a purported revelation from God is authentic, as well as how one might come to believe that some particular moral belief is wrong. The paper defends the view that if one knew that a revelation from God was authentic, then one could be justified in holding a moral view on some particular issue, such as veganism, that clashes with the dominant views of one’s contemporaries. (shrink)

« Ce petit livre est un bijou d’intelligence, de finesse, de culture, qui prend un objet technique sans rechigner et le tourne et le retourne comme Heidegger nous avait appris à le faire avec les chaussures de Van Gogh. Ce qui frappe, c’est l’ambition d’une méditation sur les cartes de la modernité contemporaine, sur le fameux Grand Paris, sur le sujet, sur le pluriel, sans les faux-fuyants du postmoderne, de la citation absurde. Luis de Miranda se promène, il vous conte (...) qu’il se promène, mais il vous mène avec une grande maîtrise et sait où il veut aller. Rien de gratuit dans cette rencontre de l’enseigne de kebabs sur la table de dissection de la Ville Néon. C’est plutôt une nouvelle méditation cartésienne après Descartes et Husserl : où le poêle et sa chaleur ont fait place au bruit vrillant du gaz dans un tube. Je suis, je crée, donc j’entends. » Yann Moulier-Boutang, ancien élève de l’ENS, professeur agrégé d’économie à l’université de technologie de Compiègne, directeur de la revue Multitudes. Né d’une rencontre inopinée avec un néon sur le quai du Louvre, ce livre a été composé à partir d’un séminaire donné par l’auteur à l’hiver 2012. Un voyage inspiré à travers la nuit, qui déchiffre les halos du passé et les reflets du présent pour donner à entendre une certaine magie du futur. Luis de Miranda, philosophe, romancier, révélateur du créalisme, est notamment l’auteur d’un essai remarqué, L’art d’être libres au temps des automates (Max Milo, 2010). (shrink)

A widely accepted view in epistemology is that we do not have direct control over our beliefs. And we surely do not have as much control over our beliefs as we have over simple actions. For instance, you can, if offered $500, immediately throw your steak in the trash, but a meat-eater cannot, at will, start believing that eating animals is wrong to secure a $500 reward. Yet, even though we have more control over our behavior than we have over (...) our beliefs, some of our behavior, especially moral behavior, is heavily influenced by our beliefs. Meat-eating is one example. So, if we do not have direct control over our beliefs and our beliefs influence our moral behavior, it’s no wonder meat-eaters aren’t immediately boycotting Burger King and lining up for the Beyond Burger after hearing about the mistreatment of farmed animals. So, how, or can we, inspire meat-eaters to change their beliefs regarding the moral significance of meat-eating and, consequently, their animal-eating behavior? I propose an answer to this difficult question. (shrink)

Анотація. У статті проаналізовані досягнення Соціального Вчительства Католицької Церкви, репрезентовані працями Лева ХІІІ, Пія ХІ, Пія ХІІ, Івана Павла ІІ, що розкривають змістовні характеристики поняття «принцип субсидіарності», його роль і значення в системі християнських цінностей. Принцип субсидіарності робить можливими такі взаємовідносини в соціальному житті, коли спільнота вищого порядку не втручається у внутрішнє життя спільноти нижчого порядку, перебираючи на себе належні тій функції; заради спільного добра, спільного блага вона надає їй у разі потреби підтримку й допомогу, узгоджуючи у такий спосіб її (...) взаємодію з іншими соціальними структурами. Принцип субсидіарності скеровує соціальну практику на утвердження спільного блага в людському співтоваристві. Поширення і застосування принципу субсидіарності протистоїть небезпеці «одержавлення» суспільства та найзагрозливіших проявів колективізму, обмежує абсолютизацію влади, бюрократизацію державних і соціокультурних структур, стає одним із гарантів дотримання прав і свобод громадян своєї країни. (shrink)

There is the world of ideas and the world of practice; the French are often for sup pressing the one and the English the other; but neither is to be suppressed. -Matthew Arnold The Function of Criticism at the Present Time From its inception, bioethics has confronted the need to reconcile theory and practice. At first the confrontation was purely intellectual, as writers on ethical theory (within phi losophy, theology, or other humanistic disciplines) turned their attention to topics from the (...) world of medical practice. Recently the confrontation has grown more intense. The ap pointment of clinical ethicists in hospitals and other health care settings is an accelerating trend in North America. Concomitantly, those institutions involved in training peo ple in clinical ethics have added organized exposure to the world of practice, in the form of placement requirements, to the normal academic course load. In common with other dis ciplines, bioethics has begun to see clinical training as a con dition of didactic theory and apprenticeship. (shrink)

In this article I connect two concepts that played central roles in the School of Meinong: the notion of impossible objects and that of Gestalt. Ehrenfels claims that Widerspruch or incompatibility would be a temporal Gestalt quality, specifically the trying and failing to build an intuitive presentation. Where, when, and how does this process break down exactly? Meinong’s Graz students developed a more detailed production theory for the presentation of Gestalten (Vorstellungsproduktion) which can help to determine how the failure to (...) produce one Gestalt can generate another, which moreover is typical of impossible objects. There are three contributions to Meinong’s 1904 volume Untersuchungen zur Gegenstandstheorie und Psychologie, the ones by Mally, Benussi, and Ameseder, that provide helpful analyses to clarify the incompatibility Gestalt. These suggest three options to refine the analysis of the Gestalt of impossible objects. The conclusion is that the failure of the Vorstellungsproduktion itself is not enough, the incompatibility relation between the foundations must also play a role. (shrink)

Maps and territory suggest problems which have to do with the opening of pathways in some poorly explored domain.