El propósito de este ensayo es explorar la doctrina política de Platón sobre la democracia a partir del concepto sinergia, es decir, de poder sinérgico, colaboración creativa que reduce los grados de dominación en el régimen político, tal como lo entiende James Craig. Aunque el concepto de poder sinérgico no fue conocido por Platón y ha sido descuidado tanto por la politología como por la filosofía política, considero que es el criterio indispensable para dejar en claro muchas de las ambigüedades (...) del pensamiento platónico. Partimos de la paradójica premisa que Platón pretende crear un autoritarismo absoluto sin dominación. En el desarrollo, se hará evidente que el pensamiento político de Platón está condicionado por unos supuestos que le obligan a aceptar un utopismo irrealizable. Entre esos supuestos destaca la Falacia Angélica, tal como la expone Mortimer Adler. También supone una concepción absolutista de la libertad positiva, así como que la libertad moral atrapada en un estado estancado. La conclusión se resume en un cuadro comparativo entre las características de la utopía platónica y el ideal sinérgico. Destaca en dicho cuadro como Platón toma partido por el autoritarismo virtuoso que condena la transformación política al reino de lo imaginario, en vez de tomar partido por las formas de gobierno compartido. Esto ha dado como resultado histórico la tentación totalitaria de pensar que hay algo mejor que la democracia. Palabras Clave : Platón; política; democracia; sinergia; libertad moral; libertad positiva; falacia angélica. Plato against democracy or the misfortunes of synergyThe purpose of this essay is to explore Plato’s political doctrine on democracy in the light of the concept of synergy, that is to say, of synergic power, which is a creative cooperation that lowers the degrees of domination within the political regime, as is understood by James Craig. Although the concept of synergic power was not known by Plato, and has been neglected by both political science and political philosophy, I consider it to be the indispensable criterion to clarify many ambiguities of Platonic thought. We start from the paradoxical premise that Plato intends to create an absolute authoritarianism without domination. As we progress it will become evident that Plato’s political thought is conditioned by assumptions that make him accept an unfeasible utopianism. Among those assumptions there stands out the Angelical Fallacy, as is exposed by Mortimer Adler. It also implies an absolutistic conception of positive freedom, as well as the idea that moral freedom is trapped in a stagnant state. The conclusion is summed up in a chart comparing the characteristics of Platonic utopia and synergic ideal. In that chart there stands out how Plato takes sides for virtuous authoritarianism, which dooms political transformation to the realm of the imaginary, instead of taking sides for the forms of shared government. This has brought as a historical result the totalitarian temptation of thinking that there might be something better than democracy. Keywords : Plato; Politics; Democracy; Synergy; Moral Freedom; Positive Freedom; Angelical Fallacy. (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)

Kant scholars have paid relatively little attention to his raciology. They assume that his racism, as personal prejudice, can be disentangled from his core philosophy. They also assume that racism contradicts his moral theory. In this book, philosopher Huaping Lu-Adler challenges both assumptions. She shows how Kant's raciology--divided into racialism and racism--is integral to his philosophical system. She also rejects the individualistic approach to Kant and racism. Instead, she uses the notion of racism as ideological formation to demonstrate how (...) Kant, from his social location both as a prominent scholar and as a lifelong educator, participated in the formation of modern racist ideology. As a scholar, Kant developed a ground-breaking scientific theory of race from the standpoint of a philosophical investigator of nature or Naturforscher. As an educator, he transmitted denigrating depictions of the racialized others and imbued those descriptions with normative relevance. In both roles, he left behind, as one of his legacies, a worldview that excluded non-whites from such goods as recognitional respect and candidacy for cultural and moral achievements. Scholars who research and teach Kant's philosophy therefore have an unshakable burden to take part in the ongoing antiracist struggles, through their teaching practices as well as their scholarship. And they must do so with a pragmatic attention to nonideal social realities and a deliberate orientation toward substantial racial justice, equality, and inclusion. Lu-Adler pushes the discourse about Kant and racism well beyond the old debates about whether he was racist or whether his racism contaminates his philosophy. By foregrounding the lasting legacies of Kant's raciology, her work calls for a profound reorientation of Kant scholarship. (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 and “Toward Perpetual Peace”. On her reading, Kant categorically condemned chattel slavery 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)

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)

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)

We argue that Wittgenstein’s philosophical perspective on Gödel’s most famous theorem is even more radical than has commonly been assumed. Wittgenstein shows in detail that there is no way that the Gödelian construct of a string of signs could be assigned a useful function within (ordinary) mathematics. — The focus is on Appendix III to Part I of Remarks on the Foundations of Mathematics. The present reading highlights the exceptional importance of this particular set of remarks and, more specifically, emphasises (...) its refined composition and rigorous internal structure. (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)

In the 1780s through the end of 1790s, Kant made various references to slavery (in its different forms) and the transatlantic slave trade in the context of his political philosophy or philosophy of right; he thereby had opportunities to speak in favor of abolitionism, which was gaining momentum in parts of Europe, or at least to articulate a normative critique of the race-based chattel slavery or Atlantic slavery and the associated slave trade qua (legalized) INSTITUTIONS; but he did neither. Why? (...) In raising and seeking an answer to this question, I am not interested in what Kant’s normative silence about the institutions of Atlantic slavery and slave trade may tell us about him as a person (for example, whether he was blinded by his own racist prejudices or whether he was affected by some kind of cognitive dissonance). Rather, I will focus on what it may tell us about certain limitations of his political philosophy, limitations that might have made it THEORETICALLY DIFFICULT for him to figure out exactly what to DO about those institutions as entrenched political realities. (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)

The book demonstrates for the first time that transculturality – the mixed constitution of cultures – is by no means only a characteristic of the present, but has de facto determined the composition of cultures since time immemorial. This is demonstated using examples from the arts across all cultures and continents.

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)

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)

This book is about the interrelationship between nature, semiosis, metarepresentation and (self-)consciousness, and the role played by metarepresentation in ...

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)

Concentrating upon applications that are most relevant to modern physics, this valuable book surveys variational principles and examines their relationship to dynamics and quantum theory. Stressing the history and theory of these mathematical concepts rather than the mechanics, the authors provide many insights into the development of quantum mechanics and present much hard-to-find material in a remarkably lucid, compact form. After summarizing the historical background from Pythagoras to Francis Bacon, Professors Yourgrau and Mandelstram cover Fermat's principle of least time, the (...) principle of least action of Maupertuis, development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. Equipped by this thorough preparation to treat variational principles in general, they proceed to derive Hamilton's principle, the Hamilton-Jacobi equation, and Hamilton's canonical equations. An investigation of electrodynamics in Hamiltonian form covers next, followed by a resume of variational principles in classical dynamics. The authors then launch into an analysis of their most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy. Professional physicists, mathematicians, and advanced students with a strong mathematical background will find this stimulating volume invaluable reading. Extremely popular in its hardcover edition, this volume will find even wider appreciation in its first fine inexpensive paperbound edition. (shrink)

The origin of languages was a hotly debated topic in the eighteenth century. This paper reconstructs a distinctively Kantian account according to which the origination, progression, and diversification of languages is at bottom reason’s self-development under certain a priori constraints and external environments. The reconstruction builds on three sets of materials. The first is Herder’s famous prize essay on the origin of languages. The second includes Kant’s explicit remarks about language – especially his notion of “transcendental grammar,” his argument that (...) language cannot be innate, his contrast of “Oriental” symbolic (intuitive) and “Occidental” discursive languages, and his treatment of the latter as a sine qua non of humanity’s cultural and moral progress. The third includes the concepts that we need to make sense of those remarks, such as Kant’s epigenetic theory of biological formation and his account of categories as originally acquired. (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)

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)

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)

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)

Kant ascribes two radically different kinds of language—symbolic or pictorial (qua intuitive) and discursive languages—to the “Oriental” and “Occidental” peoples respectively. By his analysis, having a merely symbolic language suggests that the “Orientals” lack understanding—and hence the ability to form concepts and think in abstracto—as well as genius and spirit. Meanwhile, he establishes discursive language as a sine qua non of the continued progress of humanity, primarily because only by means of words—as opposed to symbols—can one think (not just intuit), (...) signify one’s thoughts exactly, and make them universally communicable. Without such a language, one would not be able to make one’s feelings moral or develop a true moral character. In short, humanity would not be able to obtain its cultural or moral ends without discursive language. -/- These points add up to an exclusionary view of progress according to which the Occidental whites alone are equipped with the requisite discursive skills and other talents (including genius and spirit) to accomplish advanced culture and pursue humanity’s moral destiny. The “Orient,” with its “childish language,” is consigned to the childhood of humanity. In holding this view, Kant has departed from some of his predecessors—such as Leibniz, whose vision of the future of humanity includes an East-West harmony facilitated by a “universal symbolism,” and Rousseau, who exalts a livelier connection with the world mediated by a pictorial language. -/- The contrast with Leibniz and Rousseau also suggests that we cannot chalk up Kant’s exclusionary view of progress to mere personal prejudices. His philosophy is what gives meaning to his statements about the nature of the “Oriental” language. That is, the exclusionary view of progress emerges only when we take into account his anti-Leibnizian conceptualization of symbolic language as merely intuitive, his view that humanity is teleologically oriented toward the unique sort of moralization that he envisioned in the Groundwork, and his view that reason must lead the way in humanity’s progress toward this supposed moral end, wherefore only discursive language can facilitate such progress. (shrink)

This book familiarizes the English-speaking reader with the debate on the originality of Gramsci’s thought and its importance for the development of Marxist theory. The contributors present the principal viewpoints regarding Gramsci’s theoretical contribution to Marxism, focussing in particular on his advances in the study of the superstructures, and discussing his relation to Marx and Lenin and his influence in Eurocommunism. Different interpretations are put forward concerning the elucidation of Gramsci’s key concepts, namely: hegemony, integral state, war of position and (...) passive revolution. (shrink)