We force a property of cardinals first proved relatively consistent by Sargsyan, that of being supercompact but not equation image-supercompact, starting from a model of set theory which does not satisfy equation image and that contains supercompact cardinals.
Two prominent philosophers here engage in a forthright debate over some of the centrally disputed topics in the political correctness controversy now taking place on college campuses across the nation, including feminism, campus speech codes, the western canon, and the nature of truth. Friedman and Narveson conclude the volume with direct replies to each other's positions.
It has been accepted since the early part of the Century that there is no problem formalizing mathematics in standard formal systems of axiomatic set theory. Most people feel that they know as much as they ever want to know about how one can reduce natural numbers, integers, rationals, reals, and complex numbers to sets, and prove all of their basic properties. Furthermore, that this can continue through more and more complicated material, and that there is never a real problem.
Here we take the view that LPC(=) is applicable to structures whose domain is too large to be a set. This is not just a matter of class theory versus set theory, although it can be interpreted as such, and this interpretation is discussed briefly at the end.
Here we take the view that LPC(=) is applicable to structures whose domain is too large to be a set. This is not just a matter of class theory versus set theory, although it can be interpreted as such, and this interpretation is discussed briefly at the end.
Kierkegaard's leap of faith is one of the most thoroughly explored topics in modern philosophy. What can yet another inquiry into this notion hope to achieve? A number of significant things, I think, of both historical and systematic value. The main contention of this paper is that the leap of faith, often associated with the emergence of existentialism, is Kierkegaard's response to a problem which is essentially Kantian in origin and structure. Kierkegaard wants to accomodate both the Kantian interpretation of (...) morality as rational command and Kant's insistence on morality as the sole point of access to religion, while rejecting the Kantian moralization of religion and rationalization of faith. The leap of faith is not, as existentialism would have it, an absolute beginning in philosophy or in individual reflection but a transition from morality to religion within an essentially Kantian context. (shrink)
A major theme in discussions of the influence of technology on society has been the computer as a threat to privacy. It now appears that the truth is precisely the opposite. Three technologies associated with computers—public-key encryption, networking, and virtual reality—are in the process of giving us a level of privacy never known before. The U.S. government is currently intervening in an attempt, not to protect privacy, but to prevent it.
This essay counteracts that trend [regarding the debate about whether partiality can be justified, those supporting impartiality have generally been on the offensive arguing that morality calls for impartiality] by taking a closer look at the moral complexity of our social practices of partiality. My adoption of this approach does not represent an endorsement of current notions of impartiality. The ideal of impartiality, in my view, should be substantially reformulated. However, that the concept of partiality is transparently defensible. In this (...) discussion, I focus on the aspects of partiality that complicate the philosophical defense of it. In the first part of the discussion, I argue that the moral value of partiality depends partly on the moral value of the relationships it helps to sustain. It matters to the philosophical issues at stake that personal relationships can be abusive and oppressive. In Section II, I refer to the vastly unequal social distribution of the means for favoring loved ones. Because many people have inadequate resources for caring for their loved ones, our conventional relationship practices of partiality-practices by which we care only for our ``own''-can be disasterous for many people. This seriously complicates the defense of partiality. The paper ends with a discussion, in Section III, of ``global moral concern'' and the resistance which most partialists show to it. (shrink)
Abstract In this paper I undertake an in-depth examination of an oft mentioned but rarely expounded upon state: suspended judgment. While traditional epistemology is sometimes characterized as presenting a “yes or no” picture of its central attitudes, in fact many of these epistemologists want to say that there is a third option: subjects can also suspend judgment. Discussions of suspension are mostly brief and have been less than clear on a number of issues, in particular whether this third option should (...) be thought of as an attitude or not. In this paper I argue that suspended judgment is (or at least involves) a genuine attitude. Content Type Journal Article Pages 1-17 DOI 10.1007/s11098-011-9753-y Authors Jane Friedman, St Catherine’s College, University of Oxford, Oxford, OX1 3UJ UK Journal Philosophical Studies Online ISSN 1573-0883 Print ISSN 0031-8116. (shrink)
In this collection of essays one of the preeminent philosophers of science writing offers a reinterpretation of the enduring significance of logical positivism, the revolutionary philosophical movement centered around the Vienna Circle in the 1920s and 30s. Michael Friedman argues that the logical positivists were radicals not by presenting a new version of empiricism but rather by offering a new conception of a priori knowledge and its role in empirical knowledge. This collection will be mandatory reading for any philosopher (...) or historian of science interested in the history of logical positivism in particular or the evolution of modern philosophy in general. (shrink)
Women have historically been prevented from living autonomously by systematic injustice, subordination, and oppression. The lingering effects of these practices have prompted many feminists to view autonomy with suspicion. Here, Marilyn Friedman defends the ideal of feminist autonomy. In her eyes, behavior is autonomous if it accords with the wants, cares, values, or commitments that the actor has reaffirmed and is able to sustain in the face of opposition. By her account, autonomy is socially grounded yet also individualizing and (...) sometimes socially disruptive, qualities that can be ultimately advantageous for women. Friedman applies the concept of autonomy to domains of special interest to women. She defends the importance of autonomy in romantic love, considers how social institutions should respond to women who choose to remain in abusive relationships, and argues that liberal societies should tolerate minority cultural practices that violate women's rights so long as the women in question have chosen autonomously to live according to those practices. (shrink)
This is a very important book. It has already become required reading for researchers on the relation between the exact sciences and Kant’s philosophy. The main theme is that Kant’s continuing program to find a metaphysics that could provide a foundation for the science of his day is of crucial importance to understanding the development of his philosophical thought from its earliest precritical beginnings in the thesis of 1747, right through the highwater years of the critical philosophy, to his last (...) unpublished writings in the Opus postumum. In the course of articulating this theme, Friedman has made extensive use of detailed historical information about their scientific and mathematical background to illuminate Kant’s texts. Over and over again, such information is used to suggest interesting and quite subtle interpretations for texts that may have seemed puzzling or just wrong-headed. (shrink)
Kant's Metaphysical Foundations of Natural Science is one of the most difficult but also most important of Kant's works. Published in 1786 between the first and second editions of the Critique of Pure Reason, the Metaphysical Foundations occupies a central place in the development of Kant's philosophy, but has so far attracted relatively little attention compared with other works of Kant's critical period. Michael Friedman's book develops a new and complete reading of this work and reconstructs Kant's main argument (...) clearly and in great detail, explaining its relationship to both Newton's Principia and eighteenth-century scientific thinkers such as Euler and Lambert. By situating Kant's text relative to his pre-critical writings on metaphysics and natural philosophy and, in particular, to the changes Kant made in the second edition of the Critique, Friedman articulates a radically new perspective on the meaning and development of the critical philosophy as a whole. (shrink)
Nagel, San Juan, and Mar report an experiment investigating lay attributions of knowledge, belief, and justification. They suggest that, in keeping with the expectations of philosophers, but contra recent empirical findings [Starmans, C. & Friedman, O. (2012). The folk conception of knowledge. Cognition, 124, 272–283], laypeople consistently deny knowledge in Gettier cases, regardless of whether the beliefs are based on ‘apparent’ or ‘authentic’ evidence. In this reply, we point out that Nagel et al. employed a questioning method that biased (...) participants to deny knowledge. Moreover, careful examination of participants’ responses reveals that they attributed knowledge in Gettier cases. We also note that Nagel et al. misconstrue the distinction between ‘apparent’ and ‘authentic’ evidence, and use scenarios that do not feature the structure that characterizes most Gettier cases. We conclude that NS&M’s findings are fully compatible with the claim that laypeople attribute knowledge in Gettier cases in general, but are significantly less likely to attribute knowledge when a belief is generated based on apparent evidence. (shrink)
_Pathologies of Rational Choice Theory_, a book written by Donald Green and Ian Shapiro and published in 1994, excited much controversy among political scientists and promoted a dialogue among them that was printed in a double issue of the journal Critical Review in 1995. This new book reproduces thirteen essays from the journal written by senior scholars in the field, along with an introduction by the editor of the journal, Jeffrey Friedman, and a rejoinder to the essays by Green (...) and Shapiro. The scholars—who include John Ferejohn, Morris P. Fiorina, Stanley Kelley, Jr., Robert E. Lane, Peter C. Ordeshook, Norman Schofield, and Kenneth A. Shepsle—criticize, agree with, or build on the issues raised by Green and Shapiros critique. Together the essays provide an interesting and accessible way of focusing on competing approaches to the study of politics and the social sciences. (shrink)
Addressing a wide range of topics, from Newton to Post-Kuhnian philosophy of science, these essays critically examine themes that have been central to the influential work of philosopher Michael Friedman.
The Hyperuniverse Programme, introduced in Arrigoni and Friedman (2013), fosters the search for new set-theoretic axioms. In this paper, we present the procedure envisaged by the programme to find new axioms and the conceptual framework behind it. The procedure comes in several steps. Intrinsically motivated axioms are those statements which are suggested by the standard concept of set, i.e. the `maximal iterative concept', and the programme identi fies higher-order statements motivated by the maximal iterative concept. The satisfaction of these (...) statements (H-axioms) in countable transitive models, the collection of which constitutes the `hyperuniverse' (H), has remarkable 1st-order consequences, some of which we review in section 5. (shrink)
In this paper we introduce some fusion properties of forcing notions which guarantee that an iteration with supports of size ⩽κ not only does not collapse κ+ but also preserves the strength of κ. This provides a general theory covering the known cases of tree iterations which preserve large cardinals , Friedman and Halilović , Friedman and Honzik , Friedman and Magidor , Friedman and Zdomskyy , Honzik ).
What is the exact nature of the consumption function? Can this term be defined so that it will be consistent with empirical evidence and a valid instrument in the hands of future economic researchers and policy makers? In this volume a distinguished American economist presents a new theory of the consumption function, tests it against extensive statistical J material and suggests some of its significant implications.Central to the new theory is its sharp distinction between two concepts of income, measured income, (...) or that which is recorded for a particular period, and permanent income, a longer-period concept in terms of which consumers decide how much to spend and how much to save. Milton Friedman suggests that the total amount spent on consumption is on the average the same fraction of permanent income, regardless of the size of permanent income. The magnitude of the fraction depends on variables such as interest rate, degree of uncertainty relating to occupation, ratio of wealth to income, family size, and so on.The hypothesis is shown to be consistent with budget studies and time series data, and some of its far-reaching implications are explored in the final chapter. (shrink)
[Michael Friedman] This paper considers the extent to which Kant's vision of a distinctively 'transcendental' task for philosophy is essentially tied to his views on the foundations of the mathematical and physical sciences. Contemporary philosophers with broadly Kantian sympathies have attempted to reinterpret his project so as to isolate a more general philosophical core not so closely tied to the details of now outmoded mathematical-physical theories (Euclidean geometry and Newtonian physics). I consider two such attempts, those of Strawson and (...) McDowell, and argue that they fundamentally distort the original Kantian impulse. I then consider Buchdahl's attempt to preserve the link between Kantian philosophy and the sciences while simultaneously generalizing Kant's doctrines in light of later scientific developments. I argue that Buchdahl's view, while not adequate as in interpretation of Kant in his own eighteenth century context, is nonetheless suggestive of an historicized and relativized revision of Kantianism that can do justice to both Kant's original philosophical impulse and the radical changes in the sciences that have occurred since Kant's day. ***********[Graham Bird] Michael Friedman criticises some recent accounts of Kant which 'detach' his transcendental principles from the sciences, and do so in order to evade naturalism. I argue that Friedman's rejection of that 'detachment' is ambiguous. In its strong form, which I claim Kant rejects, the principles of Euclidean geometry and Newtonian physics are represented as transcendental principles. In its weak form, which I believe Kant accepts, it treats those latter principles as higher order conditions of the possibility of both science and ordinary experience. I argue also that the appeal to naturalism is unhelpful because that doctrine is seriously unclear, and because the accounts Friedman criticises are open to objections independent of any appeal to naturalism. (shrink)
Two countable well orderings are weakly comparable if there is an order preserving injection of one into the other. We say the well orderings are strongly comparable if the injection is an isomorphism between one ordering and an initial segment of the other. In , Friedman announced that the statement “any two countable well orderings are strongly comparable” is equivalent to ATR 0 . Simpson provides a detailed proof of this result in Chapter 5 of . More recently, (...) class='Hi'>Friedman has proved that the statement “any two countable well orderings are weakly comparable” is equivalent to ATR 0 . The main goal of this paper is to give a detailed exposition of this result. (shrink)
How can the Father, the Son, and the Holy Spirit be distinct and yet identical? Prompted by the doctrine of the divine Trinity, this question sparked centuries of lively debate. In the current context of renewed interest in Trinitarian theology, Russell L. Friedman provides the first survey of the scholastic discussion of the Trinity in the 100-year period stretching from Thomas Aquinas' earliest works to William Ockham's death. Tracing two central issues - the attempt to explain how the three (...) persons are distinct from each other but identical as God, and the application to the Trinity of a 'psychological model', on which the Son is a mental word or concept, and the Holy Spirit is love - this volume offers a broad overview of Trinitarian thought in the thirteenth and fourteenth centuries, along with focused studies of the Trinitarian ideas of many of the period's most important theologians. (shrink)
We review different conceptions of the set-theoretic multiverse and evaluate their features and strengths. In Sect. 1, we set the stage by briefly discussing the opposition between the ‘universe view’ and the ‘multiverse view’. Furthermore, we propose to classify multiverse conceptions in terms of their adherence to some form of mathematical realism. In Sect. 2, we use this classification to review four major conceptions. Finally, in Sect. 3, we focus on the distinction between actualism and potentialism with regard to the (...) universe of sets, then we discuss the Zermelian view, featuring a ‘vertical’ multiverse, and give special attention to this multiverse conception in light of the hyperuniverse programme introduced in Arrigoni and Friedman (2013). We argue that the distinctive feature of the multiverse conception chosen for the hyperuniverse programme is its utility for finding new candidates for axioms of set theory. (shrink)
Over the past forty years, the health humanities, previously called the medical humanities, has emerged as one of the most exciting fields for interdisciplinary scholarship, advancing humanistic inquiry into bioethics, human rights, health care, and the uses of technology. It has also helped inspire medical practitioners to engage in deeper reflection about the human elements of their practice. In _Health Humanities Reader_, editors Therese Jones, Delese Wear, and Lester D. Friedman have assembled fifty-four leading scholars, educators, artists, and clinicians (...) to survey the rich body of work that has already emerged from the field—and to imagine fresh approaches to the health humanities in these original essays. The collection’s contributors reflect the extraordinary diversity of the field, including scholars from the disciplines of disability studies, history, literature, nursing, religion, narrative medicine, philosophy, bioethics, medicine, and the social sciences. With warmth and humor, critical acumen and ethical insight, _Health Humanities Reader_ truly humanizes the field of medicine. Its accessible language and broad scope offers something for everyone from the experienced medical professional to a reader interested in health and illness. (shrink)
Economist and evolutionary game theorist Daniel Friedman demonstrates that our moral codes and our market systems-while often in conflict-are really devices evolved to achieve similar ends, and that society functions best when morals and markets are in balance with each other.
This paper raises some minor questions about Lisa Tessman’s book, Burdened Virtues. Friedman’s questions pertain, among other things, to the adequacy of a virtue ethical focus on character, the apparent implication of virtue ethics that oppressors suffer damaged characters and are not any better off than the oppressed, the importance of whether privileged persons may have earned their privileges, and the oppositional anger that movement feminists sometimes direct against each other.
On August 30, 2013, the American Political Science Association sponsored a roundtable on political epistemology as part of its annual meetings. Co-chairing the roundtable were Jeffrey Friedman, Department of Government, University of Texas at Austin; and Hélène Landemore, Department of Political Science, Yale University. The other participants were Scott Althaus, Department of Political Science, University of Illinois at Urbana-Champaign; Mark Bevir, Department of Political Science, University of California at Berkeley; Rogers Smith, Department of Political Science, University of Pennsylvania; and (...) Susan Stokes, Department of Political Science, Yale University. We thank the participants for permission to republish their remarks, which they subsequently edited for clarity. (shrink)
[Michael Friedman] This paper considers the extent to which Kant's vision of a distinctively 'transcendental' task for philosophy is essentially tied to his views on the foundations of the mathematical and physical sciences. Contemporary philosophers with broadly Kantian sympathies have attempted to reinterpret his project so as to isolate a more general philosophical core not so closely tied to the details of now outmoded mathematical-physical theories. I consider two such attempts, those of Strawson and McDowell, and argue that they (...) fundamentally distort the original Kantian impulse. I then consider Buchdahl's attempt to preserve the link between Kantian philosophy and the sciences while simultaneously generalizing Kant's doctrines in light of later scientific developments. I argue that Buchdahl's view, while not adequate as in interpretation of Kant in his own eighteenth century context, is nonetheless suggestive of an historicized and relativized revision of Kantianism that can do justice to both Kant's original philosophical impulse and the radical changes in the sciences that have occurred since Kant's day. /// [Graham Bird] Michael Friedman criticises some recent accounts of Kant which 'detach' his transcendental principles from the sciences, and do so in order to evade naturalism. I argue that Friedman's rejection of that 'detachment' is ambiguous. In its strong form, which I claim Kant rejects, the principles of Euclidean geometry and Newtonian physics are represented as transcendental principles. In its weak form, which I believe Kant accepts, it treats those latter principles as higher order conditions of the possibility of both science and ordinary experience. I argue also that the appeal to naturalism is unhelpful because that doctrine is seriously unclear, and because the accounts Friedman criticises are open to objections independent of any appeal to naturalism. (shrink)
Extrapolating from the work of Mahlo , one can prove that given any pair of countable closed totally bounded subsets of complete separable metric spaces, one subset can be homeomorphically embedded in the other. This sort of topological comparability is reminiscent of the statements concerning comparability of well orderings which Friedman has shown to be equivalent to ATR0 over the weak base system RCA0. The main result of this paper states that topological comparability is also equivalent to ATR0. In (...) Section 1, the pertinent subsystems of second-order arithmetic and results on well orderings are reviewed. Sections 2 and 3 overview the encoding of metric spaces and homeomorphisms in second-order arithmetic. Section 4 contains a proof of the topological comparability result in ATR0. Section 5 contains the reversal, a derivation of ATR0 from the topological comparability result. In Section 6, additional information about the structure of the embeddings is obtained, culminating in an application to closed subsets of the real numbers. (shrink)
: Nancy J. Hirschmann presents a feminist, social constructionist account of women's freedom. Friedman's discussion of Hirschmann's account deals with (1) some conceptual problems facing a thoroughgoing social constructionism; (2) three ways to modify social constructionism to avoid those problems; and (3) an assessment of Hirschmann's version of social constructionism in light of the previous discussion.
The equiconsistency of a measurable cardinal with Mitchell order o=κ++ with a measurable cardinal such that 2κ=κ++ follows from the results by W. Mitchell  and M. Gitik . These results were later generalized to measurable cardinals with 2κ larger than κ++ .In Friedman and Honzik , we formulated and proved Eastonʼs theorem  in a large cardinal setting, using slightly stronger hypotheses than the lower bounds identified by Mitchell and Gitik , for a suitable μ, instead of the (...) cardinals with the appropriate Mitchell order).In this paper, we use a new idea which allows us to carry out the constructions in Friedman and Honzik  from the optimal hypotheses. It follows that the lower bounds identified by Mitchell and Gitik are optimal also with regard to the general behavior of the continuum function on regulars in the context of measurable cardinals. (shrink)
ABSTRACTOn September 4, 2015, the Political Epistemology/ideas, Knowledge, and Politics section of the American Political Science Association sponsored a roundtable on ideational turns in the four subdisciplines of political science as part of its annual meetings. Chairing the roundtable was Jeffrey Friedman, Department of Government, University of Texas, Austin. The other participants were Jeffrey Checkel, Department of Political Science, Simon Fraser University; Matthias Matthijs, School of Advanced International Studies, Johns Hopkins University; and Rogers Smith, Department of Political Science, University (...) of Pennsylvania. We thank the participants for permission to republish their remarks, which they were offered the opportunity to edit after the fact. (shrink)
Peirce's Reality and Berkeley's Blunders LESLEY FRIEDMAN IN A NUMBER OF HIS LATE REMARKS, Peirce makes it clear that he holds Bishop Berkeley in the highest esteem. Hailed as the "father of all modern philoso- phy," Peirce argues that Berkeley, not Kant, "first produced an Erkenntnis- theorie, or 'principles of human knowledge', which was for the most part cor- rect in its positive assertions" ? This is not at all to say that Berkeley escapes rebuke; in spite of several (...) laudatory remarks, ~ Peirce takes him to task for two errors: his view of reality as actual perception, and his neglect of real possibility. Additionally, in some passages we find Berkeley both credited for some insight and admonished for some oversight. In one such occurrence, ' The following abbreviations are used throughout this paper: RFB "Review of Fraser's Berkeley," Nation 73 : 95-96. LSB Robert G. Meyers and Richard H. Popkin, eds., "Early Influences on Peirce: A Letter to Samuel Barnett,"Journal of the History of Philosophy 31 : 6o7-21. This letter is dated December 2o, 19o 9. CP Collected Papers of Charles Sanders Peirce, eds. C. Hartshorne and P. Weiss . and A. Burks . Cited by volume and paragraph number. MS Peirce's manuscripts from microfilm rolls a-3 o, following the Robin listing: Annotated Catalogue of the Papers of Charles S. Peirce (Amherst: University of Massachusetts Press,.. (shrink)
Nancy J. Hirschmann presents a feminist, social constructionist account of women's freedom. Friedman's discussion of Hirschmann's account deals with some conceptual problems facing a thoroughgoing social constructionism; three ways to modify social constructionism to avoid those problems; and an assessment of Hirschmann's version of social constructionism in light of the previous discussion.
In Capitalism and the Jews, Jerry Z. Muller attempts to resolve Milton Friedman's paradox: Why is it that Jewish intellectuals have been so hostile to capitalism even though capitalism has so greatly benefited the Jews? In one chapter Muller answers, in effect, that Jewish intellectuals have not been anticapitalist. Elsewhere, however, Muller implicitly explains the leftist tendencies of most intellectuals?Jewish and gentile?by unspooling the anticapitalist thread in the main lines of Western thought, culminating in Marx but by no means (...) ending with him. Thus, Milton Friedman saw a paradox where none existed. This may have been because Friedman was an economist, and economics is the one strand of Western thought that is, by and large, procapitalist. To an economist, opposition to capitalism may be paradoxical; to noneconomists, economics is alienating in its form and in its content. There is thus no mystery as to why intellectuals, including Jewish intellectuals, tend to shun economics and therefore gravitate to the left. (shrink)
At the 50-year anniversary of Fluxus, Ken Friedman looks back on the activities and achievements of a laboratory for art, architecture, design, and music. This article examines the political and economic context of the 1950s against which Fluxus emerged to become the most radical and experimental art project of the 1960s, thoroughly international in structure, with women as well as men in central roles. The article examines the hermeneutical interface of life and art through 12 Fluxus ideas: globalism, the (...) unity of art and life, intermedia, experimentalism, chance, playfulness, simplicity, implicativeness, exemplativism, specificity, presence in time, and musicality. (shrink)
Over the last 25 years, evolutionary game theory has grown with theoretical contributions from the disciplines of mathematics, economics, computer science and biology. It is now ripe for applications. In this book, Daniel Friedman---an economist trained in mathematics---and Barry Sinervo---a biologist trained in mathematics---offer the first unified account of evolutionary game theory aimed at applied researchers. They show how to use a single set of tools to build useful models for three different worlds: the natural world studied by biologists; (...) the social world studied by anthropologists, economists, political scientists and others; and the virtual world built by computer scientists and engineers. The first six chapters offer an accessible introduction to core concepts of evolutionary game theory. These include fitness, replicator dynamics, sexual dynamics, memes and genes, single and multiple population games, Nash equilibrium and evolutionarily stable states, noisy best response and other adaptive processes, the Price equation, and cellular automata. The material connects evolutionary game theory with classic population genetic models, and also with classical game theory. Notably, these chapters also show how to estimate payoff and choice parameters from the data. The last eight chapters present exemplary game theory applications. These include a new coevolutionary predator-prey learning model extending rock-paper-scissors; models that use human subject laboratory data to estimate learning dynamics; new approaches to plastic strategies and life cycle strategies, including estimates for male elephant seals; a comparison of machine learning techniques for preserving diversity to those seen in the natural world; analyses of congestion in traffic networks and the. (shrink)