A critical discussion of Lu-Adler's chapter on Kant's mature view of pure general logic. I sketch an alternative interpretation of its formality on which Kant would hold no deduction is possible of this logic's laws.
Kant develops a concept of savagery, partly characterized by laziness, to envision a program for human progress. He also racializes savagery, treating native Americans, in particular, as literal savages. He ascribes to this “race” a peculiar physiological laziness, a supposedly hereditary trait of blunted life power. Accordingly, while he grants them the same “germs” for perfections as he does the civilized Europeans, he allows them no prospect of actually fulfilling any such perfection. For the road to perfection must be paved (...) through industry, a condition that Kant denies to the “savages” by racializing their alleged laziness. This case will shed new light on the debated relation between Kant’s moral universalism and his racism. (shrink)
This book is both a history of philosophy of logic told from the Kantian viewpoint and a reconstruction of Kant’s theory of logic from a historical perspective. Kant’s theory represents a turning point in a history of philosophical debates over the following questions. (1) Is logic a science, instrument, standard of assessment, or mixture of these? (2) If logic is a science, what is the subject matter that differentiates it from other sciences, particularly metaphysics? (3) If logic is a necessary (...) instrument to all philosophical inquiries, how is it so entitled? (4) If logic is both a science and an instrument, how are these two roles related? Kant’s official answer to these questions centers on three distinctions: general versus particular logic; pure versus applied logic; pure general logic versus transcendental logic. The true meaning and significance of each distinction becomes clear, I argue, only if we consider two factors. First, Kant was mindful of various historical views on how logic relates to other branches of philosophy (viz. metaphysics and physics) and to the workings of common human understanding. Second, he first coined ‘transcendental logic’ while struggling to secure metaphysics as a proper “science,” and this conceptual innovation would in turn have profound implications for his mature theory of logic. Against this backdrop, I reassess the place of Kant’s theory in the history of philosophy of logic and highlight certain issues that are still debated today, such as normativity of logic and the challenges posed by logical pluralism. In Chapter 1, “Kant and a Philosophical History of Logic – Methodological Reflections,” I discuss certain exegetical challenges posed by Kant’s logic corpus and argue for a “history of philosophical problems” method by which to reconstruct a Kantian theory of logic. In Chapter 2, “The Nature and Place of Logic – A History of Controversies,” I construct a partial history of philosophy of logic that revolves around the (supposedly) scientific status of logic on the one hand and its value or utility on the other. In Chapter 3, “The Making of a Scientific Logic from Bacon to Wolff,” I examine how four representative early modern philosophers – Francis Bacon, John Locke, G.W. Leibniz, and Christian Wolff – approached the four questions mentioned above. In Chapter 4, “Kant on the Way to His Own Philosophy of Logic,” I consider how Kant, in the decade between around mid-1760s and mid-1770s, navigated between existing accounts of logic until he finally found his own voice. I highlight the breakthroughs that would mark his critical departures from previous views and pave the way for the final articulation of his own view. In Chapter 5, “Logic and the Demands of Kantian ‘Science’,” I zero in on Kant’s official theory of logic in his monumental publication, Critique of Pure Reason. I foreground both what makes the theory original and what leaves it vulnerable to criticisms from post-Kantian thinkers. (shrink)
According to an oft-repeated narrative, while Kant maintained racist views through the 1780s, he changed his mind in the 1790s. Pauline Kleingeld introduced this narrative based on passages from Kant’s Metaphysics of Morals (1797) and “Toward Perpetual Peace” (1795). On her reading, Kant categorically condemned chattel slavery (and colonialism) in those texts, which meant that he became more racially egalitarian. But the passages involving slavery, once contextualized, either do not concern modern, race-based chattel slavery or at best suggest that Kant (...) mentioned it as a cautionary tale for labor practices in Europe. Overall, Kant never explicitly considered chattel slavery as a moral problem to be addressed on its own. Rather, he treated it primarily in terms of its function in human history. If he ended up expressing some qualms about its practices, it was likely because they threatened to deepen intra-European conflicts and undermine the prospect of perpetual peace. The humanity of the enslaved “Negroes” was never part of the reasoning. This was not a casual oversight on Kant’s part. It reflects the complexity of his philosophical system: everything he did or did not say about chattel slavery begins to make sense once we connect his philosophy of history and his depiction of “Negroes” as natural slaves. (shrink)
How does the critical Kant view ontology? There is no shared scholarly answer to this question. Norbert Hinske sees in the Critique of Pure Reason a “farewell to ontology,” albeit one that took Kant long to bid (Hinske 2009). Karl Ameriks has found evidence in Kant’s metaphysics lectures from the critical period that he “was unwilling to break away fully from traditional ontology” (Ameriks 1992: 272). Gualtiero Lorini argues that a decisive break with the tradition of ontology is essential to (...) Kant’s critical reform of metaphysics, as is reflected in his shift from “ontology” to “transcendental philosophy,” two notions that Lorini takes to be related by mere “analogy” (Lorini 2015). I agree with Lorini that a thorough reform of ontology is a pivotal part of Kant’s critical plan for metaphysics and that ontology somehow “survives within the critical philosophy” (Lorini 2015: 76). To make this case, however, I deem it important to identify “ontology” and “transcendental philosophy” in the sense of extensional equivalence. While we can detect this identification in Kant’s writings, only from his metaphysics lectures can we get a full sense of its historical and philosophical significance. In this chapter I focus on how it represents a definitive turn from as well as notable continuity with traditional treatments of ontology, particularly the Wolffian one. (shrink)
Kant describes logic as “the science that exhaustively presents and strictly proves nothing but the formal rules of all thinking”. (Bviii-ix) But what is the source of our cognition of such rules (“logical cognition” for short)? He makes no concerted effort to address this question. It will nonetheless become clear that the question is a philosophically significant one for him, to which he can see three possible answers: those representations are innate, derived from experience, or originally acquired a priori. Although (...) he gives no explicit argument for the third answer, he seems committed to it—especially given his views on the source of pure concepts of the understanding and on the nature of logic. It takes careful preparatory work to gather all the essential materials for motivating and reconstructing Kant’s “original acquisition” account of logical cognition. I shall proceed in two sections. In section 1, I analyze Kant’s argument that pure concepts of the understanding (or intellectual concepts)—as one kind of pure cognition—must be acquired originally and a priori. My analysis partly concerns his varied attitudes toward Crusius’s and Leibniz’s versions of the nativist account of such concepts. I give special attention to how Kant characterizes the nativist account and his own “original acquisition” account in terms of “preformation” and “epigenesis”. My goal is, firstly, to tease out the sense in which Kant grants that there must be an innate ground (or preformation) for the derivation of pure concepts and, secondly, to introduce—and pave the way for answering—the question about the source of logical cognition. In section 2, in light of Kant’s reference to Locke and Leibniz as the greatest reformers of philosophy (including logic) in their times (Log, AA 9: 32), I examine the Lockean and Leibnizian approaches to logic, respectively. Both approaches are “physiological” by Kant’s standard and are directly opposed to his own strictly critical method. I explain how this methodological move shapes Kant’s view that representations of logical rules must be originally acquired a priori. This acquisition involves a kind of radical epigenesis of pure reason: unlike the acquisition of pure concepts, it presupposes no further innate ground (or preformation). This view will have important consequences for issues such as the ground of the normativity of logical rules and the boundaries of their rightful use. (shrink)
The deduction of categories in the 1781 edition of the Critique of the Pure Reason (A Deduction) has “two sides”—the “objective deduction” and the “subjective deduction”. Kant seems ambivalent about the latter deduction. I treat it as a significant episode of Kant’s thinking about categories that extended from the early 1770s to around 1790. It contains his most detailed answer to the question about the origin of categories that he formulated in the 1772 letter to Marcus Herz. The answer is (...) that categories are generated a priori through a kind of intellectual “epigenesis”. This account leaves unexplained why precisely such and such categories should be generated. While this observation caused Kant to worry about the hypothetical status of the subjective deduction in 1781, he would come to acquiesce in the recognition that the ground of the possibility of categories is itself inscrutable. I call this his “methodological skepticism”. (shrink)
This stimulating book covers a wide range of topics concerning Kant and the history of logic, with the overall goal of specifying how Kant's various conceptions of logic developed out of that history. A first chapter on methodology argues that Kant is properly understood as negotiating a middle way between eclecticism and systematic philosophy. This is combined with the author's views on the proper method for our reconstruction of Kant's philosophy of logic, where her idea is that Kant's own critical (...) eclecticism will provide the key to the latter. One issue that is never addressed is why this is not a sort of category error: even if Kant's own views on methodology had featured a... (shrink)
Leibniz, and many following him, saw the Principle of Sufficient Reason (PSR) as pivotal to a scientific (demonstrated) metaphysics. Against this backdrop, Kant is expected to pay close attention to PSR in his reflections on the possibility of metaphysics, which is his chief concern in the Critique of Pure Reason. It is far from clear, however, what has become of PSR in the Critique. On one reading, Kant has simply turned it into the causal principle of the Second Analogy. On (...) a different reading, PSR is but the supreme principle of reason, which roughly states that, if the conditioned is given, so is the unconditioned. On my reading, PSR appears in the guises of both the causal principle and the supreme principle. This twofold specification, I argue, is key to understanding (i) Kant’s allegations that past metaphysicians failed to prove PSR, (ii) his own Critical account of the possibility of metaphysics in both of its parts (ontology and metaphysics proper), and (iii) his nuanced answer to the contentious question about the relation between physical inquiry and metaphysical reasoning about nature (both being quests for reasons). (shrink)
A testimony is somebody else’s reported experience of what has happened. It is an indispensable source of knowledge. It only gives us historical cognition, however, which stands in a complex relation to rational or philosophical cognition: while the latter presupposes historical cognition as its matter, one needs the architectonic “eye of a philosopher” to select, interpret, and organize historical cognition. Kant develops this rationalist theory of testimony. He also practices it in his own work, especially while theorizing about race as (...) a subject of natural philosophy. In three dedicated essays on this subject, he treats race from the standpoint of a philosophical investigator of nature (Naturforscher), who (as Kant puts it in the first Critique) learns from nature “like an appointed judge who compels witnesses to answer the questions he puts to them.” This view underwrites Kant’s use of travel reports (a type of testimony) in developing and defending his theory of race. (shrink)
At A71/B96–7 Kant explains that singular judgements are ‘special’ because they stand to the general ones as Einheit to Unendlichkeit. The reference to Einheit brings to mind the category of unity and hence raises a spectre of circularity in Kant’s explanation. I aim to remove this spectre by interpreting the Einheit-Unendlichkeit contrast in light of the logical distinctions among universal, particular and singular judgments shared by Kant and his logician predecessors. This interpretation has a further implication for resolving a controversy (...) over the correlation between the logical moments of quantity (universal, particular, singular) and the categorial ones (unity, plurality, totality). (shrink)
There is an exegetical quandary when it comes to interpreting Locke's relation to logic.On the one hand, over the last few decades a substantive amount of literature has been dedicated to explaining Locke's crucial role in the development of a new logic in the seventeenth and eighteenth centuries. John Yolton names this new logic the "logic of ideas," while James Buickerood calls it "facultative logic."1 Either way, Locke's Essay is supposedly its "most outspoken specimen" or "culmination."2 Call this reading the (...) 'New Logic interpretation.'On the other hand, from the typical standpoint of a philosopher accustomed to the modern conception of logic, whatever Locke—indeed, whatever most of the... (shrink)
It is a received view that Kant’s formal logic (or what he calls “pure general logic”) is thoroughly intensional. On this view, even the notion of logical extension must be understood solely in terms of the concepts that are subordinate to a given concept. I grant that the subordination relation among concepts is an important theme in Kant’s logical doctrine of concepts. But I argue that it is both possible and important to ascribe to Kant an objectual notion of logical (...) extension according to which the extension of a concept is the multitude of objects falling under it. I begin by defending this ascription in response to three reasons that are commonly invoked against it. First, I explain that this ascription is compatible with Kant’s philosophical reflections on the nature and boundary of a formal logic. Second, I show that the objectual notion of extension I ascribe to Kant can be traced back to many of the early modern works of logic with which he was more or less familiar. Third, I argue that such a notion of extension makes perfect sense of a pivotal principle in Kant’s logic, namely the principle that the quantity of a concept’s extension is inversely proportional to that of its intension. In the process, I tease out two important features of the Kantian objectual notion of logical extension in terms of which it markedly differs from the modern one. First, on the modern notion the extension of a concept is the sum of the objects actually falling under it; on the Kantian notion, by contrast, the extension of a concept consists of the multitude of possible objects—not in the metaphysical sense of possibility, though—to which a concept applies in virtue of being a general representation. While the quantity of the former extension is finite, that of the latter is infinite—as is reflected in Kant’s use of a plane-geometrical figure (e.g., circle, square), which is continuum as opposed to discretum, to represent the extension in question. Second, on the modern notion of extension, a concept that signifies exactly one object has a one-member extension; on the Kantian notion, however, such a concept has no extension at all—for a concept is taken to have extension only if it signifies a multitude of things. This feature of logical extension is manifested in Kant’s claim that a singular concept (or a concept in its singular use) can, for lack of extension, be figuratively represented only by a point—as opposed to an extended figure like circle, which is reserved for a general concept (or a concept in its general use). Precisely on account of these two features, the Kantian objectual extension proves vital to Kant’s theory of logical quantification (in universal, particular and singular judgments, respectively) and to his view regarding the formal truth of analytic judgments. (shrink)
This chapter brings some much-needed conceptual clarity to the debate about Locke’s scientific methodology. Instead of having to choose between the method of hypothesis and that of natural history (as most interpreters have thought), he would resist prescribing a single method for natural sciences in general. Following Francis Bacon and Robert Boyle, Locke separates medicine and natural philosophy (physics), so that they call for completely different methods. While a natural philosopher relies on “speculative” (causal-theoretical) hypotheses together with natural-history making to (...) explicate phenomena, a medical practitioner must prioritize collecting data about what remedies tend to cure what diseases over hypothesizing about the causes of the latter. (shrink)
I defend the thesis that Kantian analytic judgments are about objects (as opposed to concepts) against two challenges raised by recent scholars. First, can it accommodate cases like “A two-sided polygon is two-sided”, where no object really falls under the subject-concept as Kant sees it? Second, is it compatible with Kant’s view that analytic judgments make no claims about objects in the world and that we can know them to be true without going beyond the given concepts? I address these (...) challenges in two steps. First, given Kant’s distinction between an object in general = x from an object of sensible intuition, I argue that analytic judgments are about objects in the former sense, no matter whether the purported objects can be given in our intuition. Second, using Kant’s method of representing certain logical relations of concepts with such figures as circles, I construct a model to show that analytic truths are truths about objects in general = x and yet can be determined solely by the intensional relation between the given concepts plus certain Kantian-logical laws. Analytic truths are thus shown as formal in the Kantian sense that they do not presuppose the purported objects as givable in our intuition. This account of the formality of analytic truths captures Kant’s diagnosis of the Leibnizian illusion that we can make material claims about the world by analytically true judgments. (shrink)
This paper examines Du Châtelet’s and Kant’s responses to the famous vis viva controversy – Du Châtelet in her Institutions Physiques (1742) and Kant in his debut, the Thoughts on the True Estimation of Living Forces (1746–49). The Institutions was not only a highly influential contribution to the vis viva controversy, but also a pioneering attempt to integrate Leibnizian metaphysics and Newtonian physics. The young Kant’s evident knowledge of this work has led some to speculate about his indebtedness to her (...) philosophy. My study corrects such speculations as well as misunderstandings of the Living Forces. This corrective result has implications for how to investigate Kant’s relation to the ever-evolving landscape of Leibniz exegeses. (shrink)
John Venn has the “uneasy suspicion” that the stagnation in mathematical logic between J. H. Lambert and George Boole was due to Kant’s “disastrous effect on logical method,” namely the “strictest preservation [of logic] from mathematical encroachment.” Kant’s actual position is more nuanced, however. In this chapter, I tease out the nuances by examining his use of Leonhard Euler’s circles and comparing it with Euler’s own use. I do so in light of the developments in logical calculus from G. W. (...) Leibniz to Lambert and Gottfried Ploucquet. While Kant is evidently open to using mathematical tools in logic, his main concern is to clarify what mathematical tools can be used to achieve. For without such clarification, all efforts at introducing mathematical tools into logic would be blind if not complete waste of time. In the end, Kant would stress, the means provided by formal logic at best help us to express and order what we already know in some sense. No matter how much mathematical notations may enhance the precision of this function of formal logic, it does not change the fact that no truths can, strictly speaking, be revealed or established by means of those notations. (shrink)
In this chapter, I discuss some problems of Kant’s logic corpus while recognizing its richness and potential value. I propose and explain a methodic way to approach it. I then test the proposal by showing how we may use various mate- rials from the corpus to construct a Kantian demonstration of the formal rules of thinking (or judging) that lie at the base of Kant’s Metaphysical Deduction. The same proposal can be iterated with respect to other topics. The said demonstration (...) will have cleared the path for such iterations. (shrink)
Kant claims that Aristotles logic as complete, explain the historical and philosophical considerations that commit him to proving the completeness claim and sketch the proof based on materials from his logic corpus. The proof will turn out to be an integral part of Kant’s larger reform of formal logic in response to a foundational crisis facing it.
This book is a masterpiece on Kant's theory of analyticity. It culminates in a new story of how Kant arrived at his mature view. Here is the chief lesson of this story: "the logical conception of the analytic/synthetic distinction is the fundamental idea of analyticity involved in Kant's distinctive, critical project. … [H]is critique of metaphysics crucially depends on the logical conception and cannot be supported by its merely methodological and epistemological ancestors". This passage consolidates two leading theses of the (...) book: Kant has three versions of the analytic/synthetic distinction: a methodological distinction between two ways of knowing, an epistemological one between two kinds of concept... (shrink)
This important collection of more than twenty original essays by prominent Kant scholars covers the multiple aspects of Kant’s teaching in relation to his published works. With the Academy edition’s continuing publication of Kant’s lectures, the role of his lecturing activity has been drawing more and more deserved attention. Several of Kant’s lectures on metaphysics, logic, ethics, anthropology, theology, and pedagogy have been translated into English, and important studies have appeared in many languages. But why study the lectures? When they (...) are read in light of Kant’s published writings, the lectures offer a new perspective of Kant’s philosophical development, clarify points in the published texts, consider topics there unexamined, and depict the intellectual background in richer detail. And the lectures are often more accessible to readers than the published works. This book discusses all areas of Kant's lecturing activity. Some essays even analyze in detail the content of Kant's courses and the role of textbooks written by key authors such as Baumgarten, helping us understand Kant’s thought in its intellectual and historical contexts. Contributors: Huaping Lu-Adler; Henny Blomme ; Robert Clewis; Alix Cohen; Corey Dyck; Faustino Fabbianelli; Norbert Fischer; Courtney Fugate; Paul Guyer; Robert Louden; Antonio Moretto; Steve Naragon; Christian Onof; Stephen Palmquist; Riccardo Pozzo; Frederick Rauscher; Dennis Schulting; Oliver Sensen; Susan Shell; Werner Stark; John Zammito; Günter Zöller. (shrink)
Calls for justice and reconciliation in response to political catastrophes are widespread in contemporary world politics. What implications do these normative strivings have in relation to colonial injustice? Examining cases of colonial war, genocide, forced sexual labor, forcible incorporation, and dispossession, Lu demonstrates that international practices of justice and reconciliation have historically suffered from, and continue to reflect, colonial, statist and other structural biases. The continued reproduction of structural injustice and alienation in modern domestic, international and transnational orders generates contemporary (...) duties of redress. How should we think about the responsibility of contemporary agents to address colonial structural injustices and what implications follow for the transformation of international and transnational orders? Redressing the structural injustices implicated in or produced by colonial politics requires strategies of decolonization, decentering, and disalienation that go beyond interactional practices of justice and reconciliation, beyond victims and perpetrators, and beyond a statist world order. (shrink)
We have studied five intersecting integrated geophysical profiles for the 3D crustal structure of the Lu -Zong ore district to obtain a better understanding of the metallogenesis and provide in-depth information for deep mineral targeting. The profiles, totaling more than 300 km, have reflection seismics and magnetotelluric sounding. Regional gravity surveys were also integrated into this study. New discoveries were obtained regarding the upper crustal structure and deformation based on the integrated analysis of these data. The Lu-Zong ore district consists (...) of four major crustal blocks. They are the Shaxi uplift, Qianshan-Kongcheng Depression in the west, Lu-Zong volcanic basin, and the Along-River uplift in the east. The north–south crustal elements show the northward “step-type” uplift, juxtaposed by two steplike faults, the west–northwest/east–southeast-trending Tangjiayuan-Zhuanqiao Fault and the Lujiang-Huangguzha-Tongling Detachment Fault. The Lu-Zong volcanic basin presents a nonsymmetrical shape with four inward-dipping boundary faults. The northern and eastern boundary faults are deep faults, which control the development and evolution of the Lu-Zong volcanic basin. There are three west–northwest/east–southeast-trending faults and six northeast–southwest-trending faults cutting over the ore district. From north to south, they are the LHTD Fault, Tangjiayuan-Zhuanqiao Fault, and Yijing-Taojiaxiang Fault ; from west to east, the six faults are the Tan-Lu, Chuhe, Luohe-Quekou, Zongyang-Huangtun, Taojiawan-Shijiawan, and Changjiang Thrust Fault. The formation and evolution of the ore-district are mainly affected by the Yanshanian intracontinental orogeny, and they experience the Middle to Late Jurassic compression and subsequent Cretaceous extension, possibly due to the paleo-Pacific northwest-trending subduction. Our studies determined that the CTF is a thrust system in nature and the LHTD is a southwest-dipping detachment. Two Jurassic basins were found, surrounding the northeast and southeast of Lu-Zong volcanics, which may be due to the product of postcollision extension of Indosinian orogeny during the middle and early Late Triassic. (shrink)
Xiaohe Lu is Professor at the Institute of Philosophy and Executive Director of the Centre for Business Ethics, Shanghai Academy of Social Sciences. Georges Enderle is Arthur and Mary O’Neil Professor of International Business Ethics at the Mendoza College of Business, University of Notre Dame.
The dominant approach to environmental policy endorsed by conservative and libertarian policy thinkers, so-called “free market environmentalism”, is grounded in the recognition and protection of property rights in environmental resources. Despite this normative commitment to property rights, most self-described FME advocates adopt a utilitarian, welfare-maximization approach to climate change policy, arguing that the costs of mitigation measures could outweigh the costs of climate change itself. Yet even if anthropogenic climate change is decidedly less than catastrophic, human-induced climate change is likely (...) to contribute to environmental changes that violate traditional conceptions of property rights. Viewed globally, the actions of some countries—primarily industrialized nations—are likely to increase environmental harms suffered by other countries—less developed nations that have not made any significant contribution to climate change. It may well be that aggregate human welfare would be maximized in a warmer, wealthier world, or that the gains from climate change will offset environmental losses. Yet such claims, even if demonstrated, would not address the normative concern that the consequences of anthropogenic global warming would infringe upon the rights of people in less-developed nations. As a consequence, this paper calls for a rethinking of FME approaches to climate change policy. (shrink)
Disjunctivism is the view that perceptual experience is either constituted by fact in the world or mere appearance. This view is said to be able to guarantee our cognitive contact with the world, and thus remove a crucial “prop” upon which skepticism depends. This paper has two aims. First, it aims to show that disjunctivism is a solution to Cartesian skepticism. Cartesian skepticism is an epistemological thesis, not an ontological one. Therefore, if there is an external world, we may well (...) undergo a veridical experience, and thus we can take advantage of disjunctivism to adopt an anti-evidential-skepticism strategy to counter Cartesian skepticism. Second, this paper argues that disjunctivism fails to solve Pyrrhonian skepticism. To counter Pyrrhonian skepticism, one has to give reasons both for his belief and for his believing. But disjunctivism can only account the former, that is, the reason for the content of perceptual belief. Given that one’s experience in good case and bad case is subjectively indistinguishable, one cannot just use his experience to justify his believing. This shows that disjunctivism cannot meet the requirement to provide an adequate account for reflective knowledge. (shrink)
Aging populations are a major consideration for socio-economic development in the early 21st century. This demographic change is mainly seen as a threat rather than as an opportunity to improve the quality of human life. Aging population is taking place in every continent of the world with Europe in the least favourable situation due to its aging population and reduction in economic competitiveness. Economic Foundations for Creative Aging Policy offers public policy ideas to construct positive answers for ageing populations. This (...) exciting new volume searches for economic solutions that can enable effective social policy concerning the elderly. Klimczuk covers theoretical analysis and case study descriptions of good practices, to suggest strategies that could be internationally popularised. (shrink)
A ternary relation [Formula: see text] between subsets of the big model of a complete first-order theory T is called an independence relation if it satisfies a certain set of axioms. The primary example is forking in a simple theory, but o-minimal theories are also known to have an interesting independence relation. Our approach in this paper is to treat independence relations as mathematical objects worth studying. The main application is a better understanding of thorn-forking, which turns out to be (...) closely related to modular pairs in the lattice of algebraically closed sets. (shrink)
The radical forms of naturalistic epistemology look more like revolutionary manifestos than a reasonable alternatives. A modest form of naturalism is worth promoting. This modest form can cooperate with hermeneutics to solve epistemic problems, and therefore wins the title of cooperative naturalism, and benefits from the hermeneutic account of experience. Cooperative naturalism somewhat bridges the gap between analytic and continental philosophy.
