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This book traces the development of formal logic from its origins inancient Greece to the present day. The authors first discuss the work oflogicians from Aristotle to Frege, showing how they were influenced by thephilosophical or mathematical ideas of their time. They then examinedevelopments in the present century. |
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Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens / von Dr. Gottlob Frege,...Date de l'edition originale : 1879Ce livre est la reproduction fidele d'une oeuvre publiee avant 1920 et fait partie d'une collection de livres reimprimes a la demande editee par Hachette Livre, dans le cadre d'un partenariat avec la Bibliotheque nationale de France, offrant l'opportunite d'acceder a des ouvrages anciens et souvent rares issus des fonds patrimoniaux de la BnF.Les oeuvres faisant partie de cette collection ont ete numerisees (...) |
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This landmark book is now reissued in a new edition that has been vastly rewritten and updated to respond to recent Kantian literature. |
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Kant famously declares that “although all our cognition commences with experience, … it does not on that account all arise from experience”. This marks Kant’s disagreement with empiricism, and his contention that human knowledge and experience require both sensation and the use of certain a priori concepts, the Categories. However, this is only the surface of Kant’s much deeper, though neglected view about the nature of reason and judgment. Kant holds that even our a priori concepts are acquired, not from (...) |
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Let me start with a well-known story. Kant held that logic and conceptual analysis alone cannot account for our knowledge of arithmetic: “however we might turn and twist our concepts, we could never, by the mere analysis of them, and without the aid of intuition, discover what is the sum [7+5]” (KrV, B16). Frege took himself to have shown that Kant was wrong about this. According to Frege’s logicist thesis, every arithmetical concept can be defined in purely logical terms, and (...) |
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Jonathan Bennett's analysis of the second half of Kant's Critique of Pure Reason, in which Kant concerns himself with topics such as substance, the nature of the self, the cosmos, freedom and the existence of God, continues to be an engaging and accessible exploration of Kant's major work. Presented in a fresh twenty-first-century series livery, and including a specially commissioned preface written by Karl Ameriks, illuminating its enduring importance and relevance to philosophical enquiry, this influential work has been revived for (...) |
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The most enlightening examination to date of the developments of Frege's thinking about his logic, this book introduces a new kind of logical language, one that ... |
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Dieses Buch enthält in einer historisch-kritischen Edition die Texte, die es in seinem Hauptteil kommentiert: Das Vorwort (1893) zu Gottlob Freges Hauptwerk, den "Grundgesetzen der Arithmetik", in dem er seine fulminante Psychologismus-Kritik vorträgt; die drei von Frege selbst veröffentlichten "Logischen Untersuchungen" (1918-1923), in denen er "die Ernte [s]eines Lebens heimbringen" wollte; und schließlich ein Fragment aus seinem Nachlass, das der Entwurf zu einer vierten LU ist. |
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Kant führt in dem Werk einen neuartigen, später ›ontotheologisch‹ genannten Gottesbeweis, den er anschließend für die Verbesserung der Physikotheologie fruchtbar macht. |
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In diesem Buch wird ein zweihundert Jahre altes Problem gelost: Wie beweist Kant in der Kritik der reinen Vernunft die Vollstandigkeit seiner Urteilstafel? Da diese Tafel, zusammen mit der Kategorientafel (die von ihr abhangt) das Herzstuck von Kants Hauptwerk ausmacht, gilt das Problem von jeher als Kernproblem der Kantinterpretation. Uberraschenderweise kann es durch sorgfaltige immanente Textauslegung gelost werden: Nachweisbar ist, dass das Leitfadenkapitel, also der unmittelbare Kontext der Urteilstafel innerhalb der Kritik, eine dicht geschriebene Argumentationsskizze zu einem strengen Vollstandigkeitsbeweis enthalt, (...) |
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Written by Anthony Kenny, a leading figure in contemporary philosophy, this volume guides the reader through a concise and accessible explanation and assessment of Frege's radical and lasting contributions to our understanding of language, meaning, and the foundations of arithmetic. |
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This article reconstructs Kant's view on the existential import of categorical sentences. Kant is widely taken to have held that affirmative sentences (the A and I sentences of the traditional square of opposition) have existential import, whereas negative sentences (E and O) lack existential import. The article challenges this standard interpretation. It is argued that Kant ascribes existential import only to some affirmative synthetic sentences. However, the reasons for this do not fall within the remit of Kant's formal logic. Unlike (...) |
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Abstract: Kant follows a substantial tradition by defining judgment so that it must involve a relation of concepts, which raises the question of why he thinks that single-term existential judgments should still qualify as judgments. There is a ready explanation if Kant is somehow anticipating a Fregean second-order account of existence, an interpretation that is already widely held for separate reasons. This paper examines Kant's early (1763) critique of Wolffian accounts of existence, finding that it provides the key idea in (...) |
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One of the characteristic features of contemporary logic is that it incorporates the Frege‐Russell thesis according to which verbs for being are multiply ambiguous. This thesis was not accepted before the nineteenth century. In Aristotle existence could not serve alone as a predicate term. However, it could be a part of the force of the predicate term, depending on the context. For Kant existence could not even be a part of the force of the predicate term. Hence, after Kant, existence (...) |
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The paper tries to shed new exegetical light on Frege's "Dialogue with Pünjer on Existence" by showing that Pünjer's position in the dialogue is strongly inspired by Kantian claims about existence. It is argued that Pünjer's wavering between a broadly Meinongian and a broadly Fregean view on existence can be explained by the fact that there are Kantian remarks which seem to speak in favour of each of these views. A suggestion is then made how Kant's claims can be interpreted (...) |
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In the presentation I will analyse Kant’s conception of modalities and consider its relevance to his critical metaphysics. With his Tables of Judgements and of Categories Kant makes an important division between two kinds of modality, of which the former is only logical and the latter transcendental, i.e., objective. Only judgements that are necessary in both ways are properly metaphysical. This distinction is important for Kant’s distinction between Transcendental Analytic and Transcendental Dialectic, i.e., between acceptable and unacceptable metaphysics. I submit (...) |
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In the course of his philosophy, in various contexts, Kant comes to reject three theses about existence: (i) that the thoroughgoing determination of a thing implies its existence, (ii) that existence is a real predicate or determination of a thing, and (iii) that existence is the complement of inner possibility or essence. Kant’s target here is Baumgarten, who advocates these theses as the criterion, classification, and definition of existence. In this article I seek to clarify Kant’s elusive theory of existence (...) |
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In der Reihe werden herausragende monographische Untersuchungen und Sammelbände zu allen Aspekten der Philosophie Kants veröffentlicht, ebenso zum systematischen Verhältnis seiner Philosophie zu anderen philosophischen Ansätzen in Geschichte und Gegenwart. Veröffentlicht werden Studien, die einen innovativen Charakter haben und ausdrückliche Desiderate der Forschung erfüllen. Die Publikationen repräsentieren damit den aktuellsten Stand der Forschung. |
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By whatever and by however many predicates we may think a thing – even if we completely determine it – we do not make the least addition to the thing when we further declare that this thing is. Otherwise, it would not be exactly the same thing that exists, but something more than we had thought in the concept; and we could not, therefore, say that the exact object of my concept exists. |
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