Most students of Tocqueville know of his remark, “There are three men with whom I live a little every day; they are Pascal, Montesquieu, and Rousseau.” In this paper I trace out the contours of Pascal’s influence upon Tocqueville’s understanding of the human condition and our appropriate response to it. Similar temperaments lead both Tocqueville and Pascal to emphasize human limitations and contingency, as Peter Lawler rightly emphasizes. Tocqueville and Pascal both emphasize mortality, ignorance of the most important subjects, the (...) effects of historical contingency on what we take to be human nature, and both represent the complex internal dynamic of human nature in terms of the interplay of “angel” and “brute.” The most important difference between them concerns their relative estimates of human power and the significance of human action. Whereas the motif of human weakness is fundamental for Pascal, Tocqueville repeatedly affirms that, under the right conditions, human beings are “powerful and free.” Beginning from Pascalian premises, and endeavoring to be more faithful to some of those premises than Pascal himself was, Tocqueville aims to illuminate the possibility of an amelioration of the human condition through a “new political science” that redeems the political realm without divinizing it. -/- . (shrink)

One of the most distinctive features of Fear and Trembling is Kierkegaard’s use of narrative variations in order to isolate, develop, and highlight the relevant features of his principal theme, the story of Abraham and Isaac, especially Abraham’s final test of faith. The book begins with a preface and ends with an epilogue; immediately within these, Kierkegaard has his pseudonym, Johannes de Silentio, provide such variations in the “Attunement” or Stemning, just following the Preface, and in Problema III, just before (...) the Epilogue. What is the purpose of these narrative variations? How are they intended to prepare the reader to understand Abraham? How, in short, do they clarify the nature and difficulty of faith? I argue, on the basis of the account of "mood" given in Concept of Anxiety, that the variations of the Attunement function to modulate the "mood" of the work by converting a fixed narrative into a possibility field, thereby giving the work a mood of anguish or anxiety rather than a detached or scholarly mood, while the variations of Problema III function to callapse this mood into interested admiration. I conclude with some remarks about what this suggests for a reader that wishes to "go further" than Johannes de Silentio. (shrink)

Before committing suicide, Othello says, "Speak of me as I am; . . . speak of one who loved not wisely, but too well." Thinking of his love for Desdemona, we are not likely to agree with his assessment that he loved her "too well," especially if loving well is supposed to require some kind of dependability or concern for her well-being; we would be loath even to grant that he loved her "too much." Othello's love for his wife seems, (...) rather, to have been firmly subordinated to his love for his honor. Perhaps, then, his statement could be saved by saying that it was his honor that he loved too well, and that in devoting himself so completely to it, he did not love wisely. He needed a better way of coordinating his two concerns, one that wouldn't give him cause for regret—a way of loving well that was also wise. (shrink)

The goal of Fear and Trembling is to illuminate the difficulty of faith. At an important juncture, he claims that both types of knight are dancers, but only the knight of faith can dance perfectly, doing what perhaps no dancer can do: he does not “hesitate” in the moment between landing from his leap and assuming the position from which to reengage with finitude. This analogy has been given small attention in the literature. Given Kierkegaard’s surprisingly precise grasp of classical (...) ballet’s vocabulary and aesthetic, I examine how these provide him additional power to clarify the difference between faith and resignation. (shrink)

The recent debate over “republican” conceptions of freedom as non-domination has re- invigorated philosophical discussions of freedom. However, “neo-Roman” republicanism, which has been characterized as republicanism that respects equality, has largely ignored the work of Alexis de Tocqueville, although he too took his task to be crafting a republicanism suited to equality. I therefore provide a philosophical treatment of the heart of Tocqueville’s republicanism, including an analysis of his conception of freedom as freedom in combined action and a philosophical reconstruction (...) of his primary argument for the importance of this kind of freedom. A comparison of Philip Pettit’s and Tocqueville’s republicanism exposes limitations in the neo-Roman conception of freedom as non-domination and its ideal of the free citizen and shows why neo-Roman republicanism, to live up to its motivating ideals, should accommodate elements of “neo- Athenian” republicanism and freedom in combined action. (shrink)

Katherine Dormandy aims both to classify possible modes of relating faith to epistemic norms in terms of three broad viewpoints: evidentialism, epistemological partialism, and anti-epistemological partialism. I advance two related claims: first, her categorization flattens the epistemological terrain by treating epistemic norms that operate at different levels as if they operated on the same level and thereby distorts the views she categorizes under Anti-Epistemological Partiality; and second, when rightly described, the noetic conflict involved in this view can be understood as (...) waged between epistemic norms of different types and function. To advance this claim, I examine Pascal’s conception of faith. For Pascal, we require first principles to establish an interpretive framework for understanding the universe and interpreting evidence, but outside of statements whose negations are self-contradictory, we cannot distinguish between “natural” principles and fantasies; faith is then understood as a relation to the Divine that allows the believer to receive, through grace, more accurate first principles. Faith therefore has a special cognitive status: (a) it has the right to influence how we interpret the world, including our epistemic norms and how to accommodate apparently disconfirming evidence, and (b) it is resilient to being reinterpreted in ways that would hinder it from fulfilling this function of stabilizing our epistemic situation—in the manner, for example, that such functioning would be hindered by negative beliefs concerning whether God exists, is good, and is faithful. The Pascalian believer is therefore involved in a much more subtle type of struggle than one between evidence and belief. Her conflict is waged between evidence and the interpretive framework through which she understands the world, including that evidence. I use the example of Job as a paradigm of how such a believer responds to apparently disconfirming evidence, treating doubt as grounds for frankly asking, or even demanding, God to answer one’s doubts, for the sake of his justice and love. (shrink)

What is the nature of our reasons for loving something? Why does a particular person or activity stimulate our imagination and hopes more deeply than others do? Is the reason in the object of our affection or in ourselves? Much philosophical debate revolves around this dichotomy between objective and subjective reasons for loving. In this paper I will instead propose that our reasons are primarily relational, having to do with the concept of affinity. Affinity, defined as “fitness” between two parties, (...) allows us to analyze loving activity in terms of a practical inference concerned with a long-term engagement in activities and relationships that are worthwhile and suitable to oneself. This approach does justice to the considerations on both sides of the debate. (shrink)

The original version of this article unfortunately contained an error. In footnote 1, the “[My 2013]” and “[My other 2013]” should be updated.

There is widespread disagreement about Tocqueville's conception of human nature, some going so far as to say that Tocqueville possessed no unified conception of human nature at all. In this paper, I aim to provide the essential principles of Tocqueville's conception of human nature through an examination of the way in which he describes the power of human circumstances, such as physical environment, social state, and religion, to shape human character by extracting the principles underlying these transformations. There is no (...) “natural man” or man “in the state of nature” but instead a set of psychic operations that reveal a picture of human nature in which human freedom, or the ability to initiate action in pursuit of important objects, lies at the heart of human life. (shrink)

This paper concerns a feature of the deontic landscape that, although pervasive, has hitherto escaped notice. None of the current categorizations of duties adequately capture a common and important form of duty, the “open duty.” The difference between open and closed duties, whether perfect or imperfect, rests not on the side of the end or action enjoined by the duty, but on that of the agents who are enjoined to act. An open duty belongs to more than one person, not (...) all of whose performance of the action is required to fulfill the duty. An example would be the situation faced by American doctors following Hurricane Katrina, when it was imperative that some of them provide aid, but when it was just as necessary that many remain where they were to treat local patients. In this paper, I examine these duties’ nature and structure, and explain several of their more unusual features. -/- . (shrink)

Thaddeus Metz’s Meaning in Life is like a magnificent castle, covering vast ground, with towers high into the heavens, and astoundingly intricate architecture. It covers the literature on meaning with enviable completeness and weaves together the many and various strands within that literature, ‘towering’ over the debates and issues and provides a wide and inclusive perspective on them. Meaning in Life is a striking achievement and, just as the intricacy of those fortresses testified to the growing maturity of architecture, so (...) Metz’s book is a testament to the growing maturity of the literature on the meaning of life. But such castles had a dual purpose, which did not always cohere. They were fortresses intended to withstand armed assault, yet they were also supposed to manifest and project the aristocratic loftiness, status, and elegance of their masters. These purposes conflicted, especially in the design of a castle’s central tower, the keep or donjon, where elegant ornamentation was most necessary, but which could hamper or compromise its defensive functions. Meaning in Life likewise seeks to fulfil a dual purpose: on the one hand, to weave all the literature together into a coherent conception of meaning, including supernaturalist conceptions of meaning; and, on the other, to neutralize supernaturalist claims that only the existence of God or of an immortal soul could provide the necessary conditions for meaning. Does Metz’s synthesis stand, or has it compromised its defence? I argue in this Symposium piece that Metz’s methodology, as developed and deployed in Parts I and III of his book, is a poor weapon against supernaturalist skeptics, and develop an argument in the work of Blaise Pascal to explain why he, and those endorsing similar positions, would not be convinced by this type of argumentation. (shrink)

“No lies": The Hurricane Notebook, found on a Wilmington beach after a storm, contains the thoughts, artistic experiments, vignettes, and recorded dialogues of an unknown author calling herself "Elizabeth M." Its entries record the inner life of a soul in crisis, perpetually returning to the moment she learned of her sister's suicide and making an unrelenting attempt to understand herself and the human condition. Whether engaged in introspective soul-searching, or reconstructing her discussions with friends, mentors, and acquaintances, she challenges herself (...) to accept "No lies" that would mask or hide her own responsibility for evil in the world. The notebook ends abruptly; having traversed subjects as diverse as God, childhood, chess, philosophy, ballet, self-hood, conscience, guilt, and friendship, Elizabeth's questions are left uncertain and hanging in the air, just like her hope that she might find "one person on earth who understands me," and unanswered, like her plea "Having understood me, would you grieve on my behalf, my friend?". (shrink)

Love is practical, having to do with how we live our lives, and a central aspect of its practical orientation is the wish for union. Union is often considered in two forms—as a union of affections and as union in relationship. This paper considers both sorts of union and argues for their connection. I first discuss the union of interests in terms of the idea of attentive awareness that is focused upon the beloved individual and his or her concerns, life, (...) and history. I then discuss union in relationship and show how this emerges from the attentive awareness in a desire to specify a determinate way of responding to the concerns that attentive awareness opens us to. I use the example of Jane Austen’s Emma throughout; the conduct of Austen’s heroine, who fails badly at loving well, shows by means of anti-example what is at stake in pursuing union as well as illustrating the close connection between the two aspects of union. (shrink)

Harry G. Frankfurt’s work on agency and reflexivity represents one of the most important attempts in the current philosophical literature to elaborate the structure of agency. Frankfurt wishes to provide an account of what I call the “deep structures” of agency—those features of agency, such as care and love, in virtue of which the surface features, such as desire, are to be explained and understood. These deep structures are important because of their power to explain unified diachronic patterns in our (...) lives rather than just individual actions. In doing so, Frankfurt seeks to be a Humean in Aristotelian clothing: he desires the richness of a broadly Aristotelian moral psychology–specifically, an Augustinian variant of this—built out of the resources of a Humean human nature in which the “passions,” or here, those objects we care about, are fundamental. -/- Thus Frankfurt develops concepts such as second-order desire, identification and dissociation, wholeheartedness, and love without incurring significant metaphysical costs. Through these concepts Frankfurt provides an account with extraordinary richness. However, I argue that Frankfurt’s minimalism conflicts with his attempts to provide so rich an account of our moral lives. In particular, his attempt to make caring foundational for practical reason undermines his conception of identification and dissociation. Frankfurt’s Humeanism commits him to a tragic moral universe in which the dissociation of desire is little more than an exercise in self-deception rather than a means of guaranteeing psychic unity. -/- I then argue that a superior account of moral life and the moral self can be constructed through greater reliance upon Augustinian ideas concerning the nature of love that is rooted in two concepts: affinity and peace. The concept of affinity provides a basis for evaluating what is worth loving and the concept of peace, central to Augustine’s moral psychology, is used to analyze the structure of love itself in its many manifestations. This account is less minimalist than Frankfurt’s but is more faithful to our moral experience and provides a more powerful and nuanced analysis of moral life and the self. (shrink)

Education and Human Values provides valuable (if narrow) contributions to the philosophy of education and the ethics of care. The ethics of care, or care ethics, is distinguished from the three main schools of normative ethics—Kantianism and other forms of deontological rationalism, consequentialism of various kinds, and Neo-Aristotelian virtue ethics—because it takes the importance of empathy and caring relationships as its starting point. Slote has provided the outlines of such a philosophy in his earlier work, especially The Ethics of Care (...) and Empathy and Moral Sentimentalism, and here develops new ideas and arguments that are worthwhile reading for those interested in the ethics of care or the philosophy of education, and might be assigned in classes on those topics. It may also have value to those interested in moral sentimentalism in general. Those in the aforementioned groups, however, should take the time to read it and consider its arguments. (shrink)

Can there be grounding without necessitation? Can a fact obtain wholly in virtue of metaphysically more fundamental facts, even though there are possible worlds at which the latter facts obtain but not the former? It is an orthodoxy in recent literature about the nature of grounding, and in first-order philosophical disputes about what grounds what, that the answer is no. I will argue that the correct answer is yes. I present two novel arguments against grounding necessitarianism, and show that grounding (...) contingentism is fully compatible with the various explanatory roles that grounding is widely thought to play. (shrink)

Discussion of the relevance of grounding to substantiveness, theory-choice, and “location problems” in metaphysics.

While it might seem prima facie plausible that divine foreknowledge is all that is needed for prophecy, this seems incorrect. To issue a prophecy, God hasto know not just how someone will act, but how someone would act were the prophecy issued. This makes some think that Middle Knowledge is required.I argue that Thomas Flint’s two Middle Knowledge based accounts of prophecy are unsatisfactory, but one of them can be repaired. However the resources needed for repair also yield a sketch (...) of a foreknowledge-only account of prophecy. (shrink)

This is an expanded and thoroughly revised edition of the widely adopted introduction to the philosophical foundations of the human sciences. Ranging from cultural anthropology to mathematical economics, Alexander Rosenberg leads the reader through behaviorism, naturalism, interpretativism about human action, and macrosocial scientific perspectives, illuminating the motivation and strategy of each.Rewritten throughout to increase accessibility, this new edition retains the remarkable achievement of revealing the social sciences’ enduring relation to the fundamental problems of philosophy. It includes new discussions of (...) positivism, European philosophy of history, causation, statistical laws, quantitative models, and postempiricist social science, along with a completely updated literature guide that keys chapters to widely anthologized papers. (shrink)

Any serious student attempting to better understand the nature, methods, and justification of science will value Alex Rosenberg's and Lee McIntyre's updated and substantially revised Fourth Edition of Philosophy of Science: A Contemporary Introduction. Weaving lucid explanations with clear analyses, the volume is as a much-used, thematically-oriented introduction to the field.

The origins of choice -- The reproductive rights debate that ignored reproduction -- Putting reproduction back into reproductive freedom -- Reproductive freedom and human evolution -- Enlisting men in support of reproductive freedom -- Defending reproductive freedom from the dangers of reproductive technology -- Ought there be a law? -- Beyond choice.

Two sources of possible disagreement in bioethics may be associated with pessimism about what bioethics can achieve. First, pluralism implies that bioethics engages with interlocutors who hold divergent moral beliefs. Pessimists might believe that these disagreements significantly limit the extent to which bioethics can provide normatively robust guidance in relevant areas. Second, the interdisciplinary nature of bioethics suggests that interlocutors may hold divergent views on the nature of bioethics itself—particularly its practicality. Pessimists may suppose that interdisciplinary disagreements could frustrate the (...) goals of bioethics. In this article, I explore how wonder may alleviate the concerns of the first group of pessimists regarding problems associated with pluralism, provided that we are willing to accept some interdisciplinary frustrations. Then, I invite readers of this issue of The Journal of Medicine & Philosophy to test these intuitions by considering the role of wonder in these articles. (shrink)

Consider the following three-step dialectics. (1) Even if God (consistently) commanded torture of the innocent, it would still be wrong. Therefore Divine Command Metaethics (DCM) is false. (2) No: for it is impossible for God to command torture of the innocent. (3) Even if it is impossible, there is a non-trivially true per impossibile counterfactual that even if God (consistently) com­manded torture of the innocent, it would still be wrong, and this counterfac­tual is incompatible with DCM. I shall argue that (...) the last step of this dialectics is flawed because it would rule out every substantive metaethical theory. (shrink)

A new speculative ontology of aesthetics. In Aesthesis and Perceptronium, Alexander Wilson presents a theory of materialist and posthumanist aesthetics founded on an original speculative ontology that addresses the interconnections of experience, cognition, organism, and matter. Entering the active fields of contemporary thought known as the new materialisms and realisms, Wilson argues for a rigorous redefining of the criteria that allow us to discriminate between those materials and objects where aesthesis (perception, cognition) takes place and those where it doesn't. (...) Aesthesis and Perceptronium negotiates between indiscriminately pluralist views that attribute mentation to all things and eliminative views that deny the existence of mentation even in humans. By recasting aesthetic questions within the framework of "epistemaesthetics," which considers cognition and aesthetics as belonging to a single category that can neither be fully disentangled nor fully reduced to either of its terms, Wilson forges a theory of nonhuman experience that avoids this untenable dilemma. Through a novel consideration of the evolutionary origins of cognition and its extension in technological developments, the investigation culminates in a rigorous reevaluation of the status of matter, information, computation, causality, and time in terms of their logical and causal engagement with the activities of human and nonhuman agents. (shrink)

In The LEGO Movie, Vitruvius's notion of the "The Special" introduces what will be a central motif for the film. As it turns out, the one who finds this "Piece of Resistance" is not quite the hero he was expected to be. Emmet Brickowoski, a construction worker, will find this "Piece of Resistance". Throughout the film, others suggest to Emmet both implicitly and explicitly that he brings nothing of value to any particular individual or to society, and that consequently he (...) himself has no value. If one interpret The LEGO Movie as being driven by Emmet's quest for discovering his value, the real philosophical turning point in the film is not when Emmet's double‐decker couch permits the Master Builders to escape from the sinking submarine and they realize that Emmet's ideas actually are useful. Rather, it is when Emmet realizes their approval is irrelevant to his value. (shrink)

This essay fills in some historical, conceptual, and pedagogical gaps that appear in the most visible and recent professional efforts to “revive” Philosophy as a Way of Life (PWOL). I present “American Philosophy and Self-Culture” as an advanced undergraduate seminar that broadens who counts in and what counts as philosophy by immersing us in the lives, writings, and practices of seven representative U.S.-American philosophers of self-culture, community-building, and world-changing: Benjamin Franklin (1706–1790), Frederick Douglass (1818–1895), William Ellery Channing (1780–1842), Henry David (...) Thoreau (1817–1862), Margaret Fuller (1810-1850), Henry Bugbee (1915–1999), and Gloria Anzaldúa (1942–2004). Students enter the class with preconceptions about who philosophers are, what they do, how they write, and the languages in which they write. Students walk out with new senses of self, place, and language that emerge through new ways of seeing, doing, and writing philosophy. (shrink)

A collection of essays by Alexander Rosenberg, the distinguished philosopher of science. The essays cover three broad areas related to Darwinian thought and naturalism: the first deals with the solution of philosophical problems such as reductionism, the second with the development of social theories, and the third with the intersection of evolutionary biology with economics, political philosophy, and public policy. Specific papers deal with naturalistic epistemology, the limits of reductionism, the biological justification of ethics, the so-called 'trolley problem' in (...) moral philosophy, the political philosophy of biological endowments, and the Human Genome Project and its implications for policy. Rosenberg's important writings on a variety of issues are here organized into a coherent philosophical framework which promises to be a significant and controversial contribution to scholarship in many areas. (shrink)

This essay examines Gloria Anzaldúa’s critical appropriation of two Mexican philosophers in the writing of Borderlands/La Frontera: Samuel Ramos and Octavio Paz. We argue that although neither of these authors is cited in her seminal work, Anzaldúa had them both in mind through the writing process and that their ideas are present in the text itself. Through a genealogical reading of Borderlands/La Frontera, and aided by archival research, we demonstrate how Anzaldúa’s philosophical vision of the “new mestiza” is a critical (...) continuation of the broader tradition known as la filosofía de lo mexicano, which flourished during a golden age of Mexican philosophy (1910–1960). Our aim is to open new directions in Latinx and Latin American philosophy by presenting Anzaldúa’s Borderlands/La Frontera as a profound scholarly encounter with two classic works of Mexican philosophy, Ramos’ Profile of Man and Culture in Mexico and Paz’s The Labyrinth of Solitude. (shrink)

This article examines Gloria Anzaldúa’s critical appropriation of Mexican philosophical sources, especially in the writing of Borderlands/La Frontera. We argue that Anzaldúa effectively contributed to la filosofía de lo mexicano by developing an Inter-American Philosophy of Mexicanness. More specifically, we recover “La Mexicana en la Chicana” by paying careful attention to Anzaldúa’s Mexican sources, both those she explicitly cites and those we have discovered while conducting archival research using the Gloria Evangelina Anzaldúa Papers at the Benson Latin American Collection at (...) the University of Texas at Austin. The eight Mexican philosophical sources we examine and discuss here are: José Vasconcelos (1882-1959), Miguel León-Portilla (1926-2019), Juana Armanda Alegría (1938- ), Octavio Paz (1914-1998), Samuel Ramos (1897-1959), Rosario Castellanos (1925-1974), Sor Juana Inés de La Cruz (1648-1695), and Jorge Carrión (1913-2005). (shrink)

There are two families of influential and stubborn puzzles that many theories of aboutness (intentionality) face: underdetermination puzzles and puzzles concerning representations that appear to be about things that do not exist. I propose an approach that elegantly avoids both kinds of puzzle. The central idea is to explain aboutness (the relation supposed to stand between thoughts and terms and their objects) in terms of relations of co-aboutness (the relation of being about the same thing that stands between the thoughts (...) and terms themselves). (shrink)

In the paper, a detailed analysis of some new logical aspects of Cantor’s diagonal proof of the uncountability of continuum is presented. For the first time, strict formal, axiomatic, and algorithmic definitions of the notions of potential and actual infinities are presented. It is shown that the actualization of infinite sets and sequences used in Cantor’s proof is a necessary, but hidden, condition of the proof. The explication of the necessary condition and its factual usage within the framework of Cantor’s (...) proof makes, Cantor’s proof invalid. It’s shown that traditional Cantor’s proof has a second necessary, but hidden as well, condition which is teleological by its nature, i.e., is not mathematical. The explication of the second necessary condition makes Cantor’s statement on the uncountability of continuum unprovable from the point of view of classical logic.One of the most dramatic facts in history of science is connected just with the notion of actual infinity and consists in the following. On the one hand, Aristotle, Berkeley, Locke, Descartes, Spinoza, Gauss, Kant, Cauchy, Kronecker, Hermite, Poincaré, Bair, Borel, Brouwer, Quine, Wittgenstein, Weyl, Luzin, and a lot of other outstanding creators of classical logic and classical mathematics, during millenniums, stated categorically and insistently warned about that the actual infinity is a self-contradictory notion and its usage in mathematics is inadmissible (e.g., according to Poincare, “There is no actual infinity. - Cantorians forgot that and fell into contradictions. Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered”). On the other hand, a lot of outstanding scientists of the XX c.c., such as Hilbert, Church, Turing, Gödel, etc., and modern axiomatic set theory as a whole ignored this (intuitive though) opinion of genii and accepted Cantor’s “transfinite paradise”, based on the actual infinity. In the paper some logical, philosophical, and psychological aspects of this historical “favorable opposition” are analyzed, and the fact that the scientific intuition of genii has won the historical battle against the mytho-’logic’ of Cantor’s transfinite ‘paradise’ is explained and logically justified. (shrink)

In the paper, a detailed analysis of some new logical aspects of Cantor’s diagonal proof of the uncountability of continuum is presented. For the first time, strict formal, axiomatic, and algorithmic definitions of the notions of potential and actual infinities are presented. It is shown that the actualization of infinite sets and sequences used in Cantor’s proof is a necessary, but hidden, condition of the proof. The explication of the necessary condition and its factual usage within the framework of Cantor’s (...) proof makes, Cantor’s proof invalid. It’s shown that traditional Cantor’s proof has a second necessary, but hidden as well, condition which is teleological by its nature, i.e., is not mathematical. The explication of the second necessary condition makes Cantor’s statement on the uncountability of continuum unprovable from the point of view of classical logic.One of the most dramatic facts in history of science is connected just with the notion of actual infinity and consists in the following. On the one hand, Aristotle, Berkeley, Locke, Descartes, Spinoza, Gauss, Kant, Cauchy, Kronecker, Hermite, Poincaré, Bair, Borel, Brouwer, Quine, Wittgenstein, Weyl, Luzin, and a lot of other outstanding creators of classical logic and classical mathematics, during millenniums, stated categorically and insistently warned about that the actual infinity is a self-contradictory notion and its usage in mathematics is inadmissible (e.g., according to Poincare, “There is no actual infinity. - Cantorians forgot that and fell into contradictions. Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered”). On the other hand, a lot of outstanding scientists of the XX c.c., such as Hilbert, Church, Turing, Gödel, etc., and modern axiomatic set theory as a whole ignored this (intuitive though) opinion of genii and accepted Cantor’s “transfinite paradise”, based on the actual infinity. In the paper some logical, philosophical, and psychological aspects of this historical “favorable opposition” are analyzed, and the fact that the scientific intuition of genii has won the historical battle against the mytho-’logic’ of Cantor’s transfinite ‘paradise’ is explained and logically justified. (shrink)

Reviewed Works:John R. Steel, A. S. Kechris, D. A. Martin, Y. N. Moschovakis, Scales on $\Sigma^1_1$ Sets.Yiannis N. Moschovakis, Scales on Coinductive Sets.Donald A. Martin, John R. Steel, The Extent of Scales in $L$.John R. Steel, Scales in $L$.

Were there interactions between the development of Kant's aesthetics and the development of his moral philosophy? How did Kant view pleasure and displeasure and what role did they play in the formation of his system of the faculties? In this book, Alexander Rueger situates Kant's account of pleasure and displeasure in its eighteenth-century context, with special attention to Leibniz, Wolff, Crusius, and Mendelssohn. He traces the development of Kant's views on pleasure from the 1770s to his Critique of Aesthetic (...) Judgment in 1790, and shows that throughout, Kant understood pleasure as the satisfaction of faculty interests. The significance of this theory for the completion of Kant's critical system in the third Critique is discussed in detail. Rueger's study illuminates both the role of pleasure and displeasure in Kant's thought, and their important connections to the power of judgment. (shrink)

I propose an approach to liar and Curry paradoxes inspired by the work of Roger Swyneshed in his treatise on insolubles (1330-1335). The keystone of the account is the idea that liar sentences and their ilk are false (and only false) and that the so-called ''capture'' direction of the T-schema should be restricted. The proposed account retains what I take to be the attractive features of Swyneshed's approach without leading to some worrying consequences Swyneshed accepts. The approach and the resulting (...) logic (called ''Swynish Logic'') are non-classical, but are consistent and compatible with many elements of the classical picture including modus ponens, modus tollens, and double-negation elimination and introduction. It is also compatible with bivalence and contravalence. My approach to these paradoxes is also immune to an important kind of revenge challenge that plagues some of its rivals. (shrink)

In this celebrated work, Alexander Wilson examines environments built over the past fifty years, as humans have continued to discover, exploit, protect, restore, and sometimes re-enchant a natural world in convulsion. Extensively illustrated.