We show that Shelah’s Eventual Categoricity Conjecture for successors follows from the existence of class many strongly compact cardinals. This is the first time the consistency of this conjecture has been proven. We do so by showing that every AEC withLS below a strongly compact cardinalκis <κ-tame and applying the categoricity transfer of Grossberg and VanDieren [11]. These techniques also apply to measurable and weakly compact cardinals and we prove similar tameness results under those hypotheses. We isolate a dual property (...) to tameness, calledtype shortness, and show that it follows similarly from large cardinals. (shrink)

We combine two notions in AECs, tameness and good λ-frames, and show that they together give a very well-behaved nonforking notion in all cardinalities. This helps to fill a longstanding gap in classification theory of tame AECs and increases the applicability of frames. Along the way, we prove a complete stability transfer theorem and uniqueness of limit models in these AECs.

We show that the number of types of sequences of tuples of a fixed length can be calculated from the number of 1-types and the length of the sequences. Specifically, if κ≤λ, then sup ‖M‖=λ|Sκ|=|)κ. We show that this holds for any abstract elementary class with λ-amalgamation. No such calculation is possible for nonalgebraic types. However, we introduce a subclass of nonalgebraic types for which the same upper bound holds.

The third author has shown that Shelah's eventual categoricity conjecture holds in universal classes: class of structures closed under isomorphisms, substructures, and unions of chains. We extend this result to the framework of multiuniversal classes. Roughly speaking, these are classes with a closure operator that is essentially algebraic closure (instead of, in the universal case, being essentially definable closure). Along the way, we prove in particular that Galois (orbital) types in multiuniversal classes are determined by their finite restrictions, generalizing a (...) result of the second author. (shrink)

For a fixed natural number \, the Hart–Shelah example is an abstract elementary class with amalgamation that is categorical exactly in the infinite cardinals less than or equal to \. We investigate recently-isolated properties of AECs in the setting of this example. We isolate the exact amount of type-shortness holding in the example and show that it has a type-full good \-frame which fails the existence property for uniqueness triples. This gives the first example of such a frame. Along the (...) way, we develop new tools to build and analyze good frames. (shrink)

In recent years, model theory has widened its scope to include metric structures by considering real-valued models whose underlying set is a complete metric space. We show that it is possible to carry out this work by giving presentation theorems that translate the two main frameworks into discrete settings. We also translate various notions of classification theory.

We provide comprehensive, level-by-level characterizations of large cardinals, in the range from weakly compact to strongly compact, by closure properties of powerful images of accessible functors. In the process, we show that these properties are also equivalent to various forms of tameness for abstract elementary classes. This systematizes and extends results of [W. Boney and S. Unger, Large cardinal axioms from tameness in AECs, Proc. Amer. Math. Soc.145(10) (2017) 4517–4532; A. Brooke-Taylor and J. Rosický, Accessible images revisited, Proc. AMS145(3) (...) (2016) 1317–1327; M. Lieberman, A category-theoretic characterization of almost measurable cardinals (Submitted, 2018); M. Lieberman and J. Rosický, Classification theory for accessible categories. J. Symbolic Logic81(1) (2016) 1647–1648]. (shrink)

The cofinality quantifiers were introduced by Shelah as an example of a compact logic stronger than first-order logic. We show that the classes of models axiomatized by these quantifiers can be turned into an Abstract Elementary Class by restricting to positive and deliberate uses. Rather than using an ad hoc proof, we give a general framework of abstract Skolemizations. This method gives a uniform proof that a wide rang of classes are Abstract Elementary Classes.

When classes of structures are not first-order definable, we might still try to find a nice description. There are two common ways for doing this. One is to expand the language, leading to notions of pseudo-elementary classes, and the other is to allow infinite conjuncts and disjuncts. In this paper we examine the intersection. Namely, we address the question: Which classes of structures are both pseudo-elementary and ${\mathcal {L}}_{\omega _1, \omega }$ -elementary? We find that these are exactly the classes (...) that can be defined by an infinitary formula that has no infinitary disjunctions. (shrink)

Scientists, philosophers, and other researchers commonly assert their theories. This is surprising, as there are good reasons for skepticism about theories in cutting-edge research. I propose a new account of assertion in research contexts that vindicates these assertions. This account appeals to a distinct propositional attitude called endorsement, which is the rational attitude of committed advocacy researchers have to their theories. The account also appeals to a theory of conversational pragmatics known as the Question Under Discussion model, or QUD. Hence, (...) I call the theory the EQUD model. Motivating this account is a recognition that the speech act of assertion has two roles to play in research contexts. The first is the advocacy role, in which researchers assert a theory in order to advocate for it. The second is the evidential role, which is used to add to the common stock of information available to a field of inquiry. The EQUD model provides an account of warranted assertion for both these roles in research contexts. This success provides support for the theory of endorsement. It also provides support for information updating accounts of assertion. (shrink)

In his most recent work, John Rawls argues that political theory must recognize and accomodate the ‘fact of pluralism’, including the fact of religious diversity. He believes that the liberal commitment to individual rights provides the only feasible model for accomodating religious pluralism. In the paper, I discuss a second form of tolerance, based on group rights rather than individual rights. Drawing on historical examples, I argue that this is is also a feasible model for accomodating religious pluralism. While both (...) models ensure tolerance between groups, only the former tolerates individual dissent within groups. To defend the individual rights model, therefore, liberals must appeal not only to the fact of social pluralism, but also to the value of individual autonomy. This may require abandoning Rawls’s belief that liberalism can and should be defended on purely ‘political’, rather than ‘comprehensive’ grounds. (shrink)

Im 20. Jahrhundert sind Zweifel an normativ hoch aufgeladenen Unterscheidungen aufgekommen, wie zwischen Mensch und Tier oder zwischen Frau und Mann, und dies hat die Dringlichkeit gesteigert, nicht nur uber bestimmte Unterscheidungen zu streiten, sondern sich auf die Arten und Weisen unseres Unterscheidens selbst zu richten. Unsere Praxis des Unterscheidens lasst sich nicht als ganze uberblicken, sondern nur exemplarisch an bestimmten Unterscheidungsvollzugen reflektieren. Dies geschieht in der vorliegenden Studie am Beispiel der Unterscheidung zwischen Wunsch und Wille. Diese Unterscheidung betrifft unser (...) Selbstverstandnis als Handelnde und sie verweist auf die Erfahrung der Diskrepanz zwischen dem, was wir uns vornehmen und gerne tun wurden, und dem, was wir tatsachlich tun. Das Ziel der exemplarischen Unterscheidungsstudie im ersten Teil wie der methodischen Grundlegung im zweiten Teil liegt darin, einen Grundriss spezifischer, inhaltsgesattigter und systematischer Unterscheidungsforschung zu entwerfen. Votiert wird in Auseinandersetzung mit Platon und Hegel fur eine dynamische Weise dialektischen Unterscheidens. (shrink)

Pulitzer Prize-winning author Will Durant chronicles the lives and ideas of key philosophers throughout history in this informative yet eminently readable text. Beginning with Socrates and Plato and concluding with Friedrich Nietzsche, Durant builds a history of philosophy by showing how each thinker's ideas informed and influenced the next generation.

本书凝聚了作者一生的思考与智慧,回应的是人类生活与命运的永恒问题的挑战,杜兰特在书中就人生各个阶段,宗教,道德,种族,性,战争,艺术,科学,教育,历史以及社会制度等问题,给出了充满智慧和经过深思熟虑的 答案.

PROMISE AND PERIL includes essays that explore the idea of republicanism across the history of political thought, focusing on the challenges and dilemmas endemic to popular government.

Pulitzer Prize-winning author Will Durant chronicles the lives and ideas of key philosophers throughout history in this informative yet eminently readable text. Beginning with Socrates and Plato and concluding with Friedrich Nietzsche, Durant builds a history of philosophy by showing how each thinker's ideas informed and influenced the next generation.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public (...) domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

Prolific journalist, historian, political columnist, and practicing Catholic Wills (now 76) writes an intensely opinionated re-evaluation of leaders and celebrities he has encountered, among them Studs Terkel, Beverly Sills, William Buckley, Richard Nixon, and more.

Hesitations -- History and the earth -- Biology and history -- Race and history -- Character and history -- Morals and history -- Religion and history -- Economics and history -- Socialism and history -- Government and history -- History and war -- Growth and decay -- Is progress real? -- Bibliographical guide.

In reply to Dr. Modood, I re-examine two examples where recent British Muslim demands conflict with liberal-democratic norms. Such conflicts are not unique to Muslims, but arise with most religious communities.

Intro -- Introduction -- Chapter 1: "The best-laid plans of mice and men ..." -- Chapter 2: "Why won't you do what we think is best for you?" -- Chapter 3: How can I stop screwing up? -- Chapter 4: "Ouch!" -- Why did that backfire? -- Chapter 5: Scientific progress -- that's a good thing, right? -- Chapter 6: Surely trying to protect people can't be bad? -- Chapter 7: Can bad intentions turn out for the good? -- Chapter (...) 8: The upside -- unlooked for benefits -- Chapter 9: So -- how can we do good better? -- References. (shrink)

_Comprehensive overview of Hegel’s thought on history._.

This chapter contains section titled: I Freedom of Choice and Rational Revisability II Cultural Structures as Context of Choice III The Status of Cultural Membership in Liberal Theory IV Conclusion Acknowledgement.

To the complete novice learning about philosophy can be daunting. The Philosophy Book changes all that. With the use of powerful and easy to follow images, succinct quotations, and explanations that are easily understandable, this book cuts through any misunderstandings to demystify the subject.