Hermann von Helmholtz (1821a "1894) galt als der bedeutendste Physiker und Physiologe seiner Zeit. Er reflektiert in seinen Texten kritisch die Grenzen und den Horizont mAglicher Erkenntnis mit theoretisch-philosophischer Aufmerksamkeit. Aus der FA1/4lle seiner Publikationen stellten der Philosoph Moritz von Schlick und der Physiker und Mathematiker Paul Hertz 1921 aus AnlaA der 100-Jahrfeier seines Geburtstages den Band "Schriften zur Erkenntnistheorie" zusammen: a [ Aoeber den Ursprung und die Bedeutung der geometrischen Axiome (o.J.) a [ Aoeber die Tatsachen, die (...) der Geometrie zugrunde liegen (1868) a [ ZAhlen und Messen, erkenntnistheoretisch betrachtet (1887) a [ Die Tatsachen in der Wahrnehmung (1878). In ihrem Vorwort schreiben Hertz und Schlick: "Der oberste Gesichtspunkt, der uns bei der Auswahl und ErlAuterung der Schriften geleitet hat, war die RA1/4cksicht auf die Sache, auf die zur Sprache kommenden Probleme. Seine Schriften werden hier von neuem dargeboten um der Wahrheit willen, die in ihnen enthalten ist oder sich aus ihnen gewinnen lAAt." Nun erscheint dieses von Schlick und Hertz zusammengestellte Buch in einer bibliophilen Ausgabe...". this is a valuable edition of important papers on the foundations of mathematics published at a reasonable price.a (Zentralblatt fA1/4r Mathematik)..".Zweifellos handelt es sich hier um scharfsinnige Arbeiten, die zum erstenmal in ihrer Zeit die erkenntnistheoretische Relevanz der nichteuklidischen Geometrien thematisierten." (Neue ZA1/4rcher Zeitung). (shrink)

A collection of papers from Paul Hertz to Dov Gabbay - through Tarski, Gödel, Kripke - giving a general perspective about logical systems. These papers discuss questions such as the relativity and nature of logic, present tools such as consequence operators and combinations of logics, prove theorems such as translations between logics, investigate the domain of validity and application of fundamental results such as compactness and completeness. Each of these papers is presented by a specialist explaining its context, (...) import and influence. (shrink)

In the 1920s, Paul Hertz (1881-1940) developed certain calculi based on structural rules only and established normal form results for proofs. It is shown that he anticipated important techniques and results of general proof theory as well as of resolution theory, if the latter is regarded as a part of structural proof theory. Furthermore, it is shown that Gentzen, in his first paper of 1933, which heavily draws on Hertz, proves a normal form result which corresponds to (...) the completeness of prepositional SLD-resolution in logic programming. (shrink)

It was Paul Engelmann who stimulated Wittgenstein to consider art as the avenue of access to what is higher, the "mystical" in the Tractatus. Unlike the course of their personal friendship, it is not easy to reconstruct the nature of their philosophical confrontation with one another. In the light of their correspondence, Wittgenstein's notebooks and the bit we know from biographers, Wittgenstein's development in the period immediately before he met Engelmann is sketched, discussing the influence of Hertz and (...) Weininger, and determining what his meeting with Engelmann meant for his philosophy. (shrink)

It was Paul Engelmann who stimulated Wittgenstein to consider art as the avenue of access to what is higher, the "mystical" in the Tractatus. Unlike the course of their personal friendship, it is not easy to reconstruct the nature of their philosophical confrontation with one another. In the light of their correspondence, Wittgenstein's notebooks and the bit we know from biographers, Wittgenstein's development in the period immediately before he met Engelmann is sketched, discussing the influence of Hertz and (...) Weininger, and determining what his meeting with Engelmann meant for his philosophy. (shrink)

It was Paul Engelmann who stimulated Wittgenstein to consider art as the avenue of access to what is higher, the "mystical" in the Tractatus. Unlike the course of their personal friendship, it is not easy to reconstruct the nature of their philosophical confrontation with one another. In the light of their correspondence, Wittgenstein's notebooks and the bit we know from biographers, Wittgenstein's development in the period immediately before he met Engelmann is sketched, discussing the influence of Hertz and (...) Weininger, and determining what his meeting with Engelmann meant for his philosophy. (shrink)

In some previous work, I tried to give a concept-based account of the nature of our entitlement to certain very basic inferences (see the papers in Part III of Boghossian 2008b). In this previous work, I took it for granted, along with many other philosophers, that we understood well enough what it is for a person to infer. In this paper, I turn to thinking about the nature of inference itself. This topic is of great interest in its own right (...) and surprisingly understudied by philosophers. A correct understanding of inference promises to shed light on a number of important topics. In particular, it threatens to undermine the sort of concept-based story about entitlement to which I had previously been attracted. (shrink)

Title: Wartime Journalism, 1939-1943 Publisher: University of Nebraska Press ISBN: 080326576X Author: Paul de Man Title: Responses: On Paul de Man's Wartime Journalism Publisher: University of Nebraska Press ISBN: 080327243X Author: Werner Hamacher, Neil Hertz, and Thomas Keenan.

Eliminative materialism is the thesis that our common-sense conception of psychological phenomena constitutes a radically false theory, a theory so fundamentally defective that both the principles and the ontology of that theory will eventually be displaced, rather than smoothly reduced, by completed neuroscience. Our mutual understanding and even our introspection may then be reconstituted within the conceptual framework of completed neuroscience, a theory we may expect to be more powerful by far than the common-sense psychology it displaces, and more substantially (...) integrated within physical science generally. My purpose in this paper is to explore these projections, especially as they bear on (1) the principal elements of common-sense psychology: the propositional attitudes (beliefs, desires, etc.), and (2) the conception of rationality in which these elements figure. (shrink)

Dieses historische Buch kann zahlreiche Tippfehler und fehlende Textpassagen aufweisen. Kaufer konnen in der Regel eine kostenlose eingescannte Kopie des originalen Buches vom Verleger herunterladen (ohne Tippfehler). Ohne Indizes. Nicht dargestellt. 1910 edition. Auszug:...endliche als durch sie erzeugt; oder diese in jener involviert und aus ihr sich evolvierend. Der wahre Erzeuger der endlichen Grosse ist nicht die unendlichkleine" Grosse (das Unendlichkleine ware dem Grossenwert nach vielmehr Null), sondern es ist das Gesetz der Grosse (als Veranderlicher), das man sich nun wie (...) in einen Punkt zusammengezogen, d. h. fur den einzelnen Punkt ausgedruckt, oder an einer endlichen Erstreckung sich darstellend denken kann, das aber dem letzten Sachgehalt nach dasselbe ist fur den Punkt und die endliche Erstreckung, wenn es auch in Bezug auf beide verschiedene, im allgemeinen auseinander ableitbare Ausdrucke erhalten muss. Da aber die endliche Grosse uberhaupt von Punkt zu Punkt entstehend (d. h. veranderlich) gedacht wird, so ist insofern der punktuelle, d. h. infinitesimale Ausdruck der fundamentale, aus dem der extensionale gleichsam erst hervorwachst. Die Differenz entsteht eben von der Null an; nicht aus ihr; aus Null wird keine extensive Grosse; wohl aber von der Null, d. h. dem Nichtsein dessen, was werden soll, oder ganz schlicht1) vom Ausgangs wert an; woraus? Aus dem Gesetz; eine andere Antwort ist nicht zu geben und nicht zu verlangen. Durch dies Gesetz aber ist die Grosse als Eines, Identisches, im Unterschied von den sukzessiven Grossenwerten, also in ihrem Gattungsausdruck definiert. i) Vgl. oben S. 122. Fragt man also: wie soll aus der Null gewordenen, verschwundenen" Grosse die endliche Grosse wiederentstehen? so ist zu antworten: die Grosse zwar (yuantitas). (shrink)

A study of how syntax relates to meaning by a leader of the new generation of philosopher-linguists.

JOURNAL OF THE HISTORY OF PHILOSOPHY PRIZE for the best published book in the history of philosophy [Awarded in 2010] _______________ -/- Although it is widely recognized that David Hume's A Treatise of Human Nature (1739-40) belongs among the greatest works of philosophy, there is little agreement about the correct way to interpret his fundamental intentions. It is an established orthodoxy among almost all commentators that skepticism and naturalism are the two dominant themes in this work. The difficulty has been, (...) however, that Hume's skeptical arguments and commitments appear to undermine and discredit his naturalistic ambition to contribute to "the science of man". This schism appears to leave his entire project broken-backed. The solution to this riddle depends on challenging another, closely related, point of orthodoxy: namely, that before Hume published the Treatise he removed almost all material concerned with problems of religion. Russell argues, contrary to this view, that irreligious aims and objectives are fundamental to the Treatise and account for its underlying unity and coherence. It is Hume's basic anti-Christian aims and objectives that serve to shape and direct both his skeptical and naturalistic commitments. When Hume's arguments are viewed from this perspective we can solve, not only puzzles arising from his discussion of various specific issues, we can also explain the intimate and intricate connections that hold his entire project together. This "irreligious" interpretation provides a comprehensive fresh account of the nature of Hume's fundamental aims and ambitions in the Treatise. It also presents a radically different picture of the way in which Hume's project was rooted in the debates and controversies of his own time, placing the Treatise in an irreligious or anti-Chrisitan philosophical tradition that includes Hobbes, Spinoza and freethinking followers. Considered in these terms, Hume's Treatise constitutes the crowning achievement of the Radical Enlightenment. (shrink)

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox, a challenge to 'classical' mathematics from a world-famous mathematician, a new foundational school, and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection (...) brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field. (shrink)

Deleuze's readings of Hume, Spinoza, Bergson and Nietzsche respond to philosophical critiques of classical and modern empiricism. However, Deleuze's arguments against those critiques - by Kant, Hegel, Husserl and Heidegger - consolidate the philosophy of immanence that can be called 'transcendental empiricism'. Marc Rolli offers us a detailed examination of Gilles Deleuze's philosophy of transcendental empiricism. He demonstrates that Deleuze takes up and radicalises the empiricist school of thought developing a systematic alternative to the mainstreams of modern continental philosophy.

In this chapter, we analyze the relationships between the Internet and its users in terms of situated cognition theory. We first argue that the Internet is a new kind of cognitive ecology, providing almost constant access to a vast amount of digital information that is increasingly more integrated into our cognitive routines. We then briefly introduce situated cognition theory and its species of embedded, embodied, extended, distributed and collective cognition. Having thus set the stage, we begin by taking an embedded (...) cognition view and analyze how the Internet aids certain cognitive tasks. After that, we conceptualize how the Internet enables new kinds of embodied interaction, extends certain aspects of our embodiment, and examine how wearable technologies that monitor physiological, behavioral and contextual states transform the embodied self. On the basis of the degree of cognitive integration between a user and Internet resource, we then look at how and when the Internet extends our cognitive processes. We end this chapter with a discussion of distributed and collective cognition as facilitated by the Internet. (shrink)

Excerpt from Die Prinzipien der Mechanik in Neuem Zusammenhange Dargestellt Wahl eines Berufs entschliefsen mufste, wahlte er den des Ingenieurs. Es scheint, dafs die auch in spateren Jahren als ein charakteristischer Grundzug seines Wesens hervor tretende Bescheidenheit ihn an seiner Begabung fur theore tische Wissenschaft zweifeln liefs, und dafs er sich bei der Beschaftigung mit seinen geliebten mechanischen Arbeiten des Erfolges sicherer fuhlte, weil er deren Tragweite schon damals ausreichend verstand. Vielleicht hat ihn auch die in seiner Vaterstadt herrschende, mehr (...) dem Praktischen zugeneigte Sinnesweise beeinflufst. Ubrigens beobachtet man nicht selten diese Art zaghafter Bescheidenheit gerade bei jungen Leuten von hervorragenden Anlagen. Sie haben wohl eine deutliche Vorstellung von den Schwierigkeiten, die vor der Erreichung des ihnen vorschwebenden hohen Zieles zu uberwinden sind, und mussen ihre Krafte erst praktisch erprobt haben, ehe sie das zu ihrem schweren Werke notige Selbstvertrauen ge winnen. Aber auch in ihrer spateren Entwickelung pflegen reich veranlagte Naturen um so unzufriedener mit ihren eigenen Werken zu sein je hoher ihre Fahigkeiten und ihre Ideale reichen. Die Begabtesten erreichen offenbar nur des halb das Hochste, weil sie am empfindlichsten gegen jede Un vollkommenheit sind, und am unermudlichsten an deren Beseitigung arbeiten. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, (...) and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field. (shrink)

Supporters of G.W.F. Hegel's philosophy have largely shied away from relating his logic to modern symbolic or mathematical approaches. While it has predominantly been the non-Greek discipline of algebra that has informed modern mathematical logic, philosopher Paul Redding argues that the approaches of Plato and Aristotle to logic were deeply shaped by the arithmetic and geometry of classical Greek culture. And by ignoring the fact that Hegel's logic also has this deep mathematical dimension, conventional Hegelians have missed some of (...) Hegel's greatest insights. In Conceptual Harmonies, Redding develops an account of Hegel's logic against a classical and modern historical background that is rarely considered. He stresses Hegel's attention to the Platonic background of Aristotle's original syllogistic and beyond. He then links these Platonic elements to Leibniz's modern revitalization of the logical tradition and then to new forms of algebraic geometry emerging in Hegel's lifetime. Redding thereby reestablishes aspects of Hegel's philosophy that are essential if Hegel is to be taken as a thinker relevant not only to contemporary philosophy, but also to current philosophical conceptions of logic. (shrink)

The first study of this ancient text in over 70 years, Rituals of the Way explores how the Xunzi influenced Confucianism and other Chinese philosophies through its emphasis on "the Way.".

This paper proposes an epistemological approach to analyse social-ecological systems from a process perspective in order to better tackle the co-constitution of the social and the ecological and the dynamism of these systems. It highlights the usefulness of rethinking our conceptual tools taking processes and relations as the main constituents of reality instead of fundamental substances or essences. We introduce the concept of experience as understood in radical empiricism to critically revise our available concepts through focusing on the concept of (...) difference, exploring apparent contradictions and engaging in assemblage thinking. (shrink)

For over twenty years, Paul Weithman has explored the thought of John Rawls to ask how liberalism can secure the principled allegiance of those people whom Rawls called 'citizens of faith'. This volume brings together ten of his major essays, which reflect on the task and political character of political philosophy, the ways in which liberalism does and does not privatize religion, the role of liberal legitimacy in Rawls's theory, and the requirements of public reason. The essays reveal Rawls (...) as a thinker deeply engaged with political and existential questions that trouble citizens of faith, and explore how - in firm opposition to political realism - he tries to show that the possibility of liberal democracy and the natural goodness of humanity are objects of reasonable faith. The volume will be of interest to political philosophers, political theorists, moral theologians, and religious ethicists. (shrink)

In this book, Livingston develops the political implications of formal results obtained over the course of the twentieth century in set theory, metalogic, and computational theory. He argues that the results achieved by thinkers such as Cantor, Russell, Godel, Turing, and Cohen, even when they suggest inherent paradoxes and limitations to the structuring capacities of language or symbolic thought, have far-reaching implications for understanding the nature of political communities and their development and transformation. Alain Badiou's analysis of logical-mathematical structures forms (...) the backbone of his comprehensive and provocative theory of ontology, politics, and the possibilities of radical change. Through interpretive readings of Badiou's work as well as the texts of Giorgio Agamben, Jacques Lacan, Jacques Derrida, Gilles Deleuze, and Ludwig Wittgenstein, Livingston develops a formally based taxonomy of critical positions on the nature and structure of political communities. These readings, along with readings of Parmenides and Plato, show how the formal results can transfigure two interrelated and ancient problems of the One and the Many: the problem of the relationship of a Form or Idea to the many of its participants, and the problem of the relationship of a social whole to its many constituents. (shrink)

According to the subset account of realization, a property, F, is realized by another property, G, whenever F is individuated by a non-empty proper subset of the causal powers by which G is individuated (and F is not a conjunctive property of which G is a conjunct). This account is especially attractive because it seems both to explain the way in which realized properties are nothing over and above their realizers, and to provide for the causal efficacy of realized properties. (...) It therefore seems to provide a way around the causal exclusion problem. There is reason to doubt, however, that the subset account can achieve both tasks. The problem arises when we look closely at the relation between properties and causal powers, specifically, at the idea that properties confer powers on the things that have them. If realizers are to be ontically prior to what they realize, then we must regard the conferral of powers by properties as a substantive relation of determination. This relation of conferral is at the heart of a kind of exclusion problem, analogous to the familiar causal exclusion problem. I argue that the subset account cannot adequately answer this new exclusion problem, and is for that reason ill-suited to be the backbone of a non-reductive physicalism. (shrink)

Although thinkers of the past might have started from presumptions of fundamental difference and inequality between (say) the genders, or people of different races, this is no longer the case. At least in mainstream political philosophy, we are all now presumed to be, in some fundamental sense, basic equals. Of course, what follows from this putative fact of basic equality remains enormously controversial: liberals, libertarians, conservatives, Marxists, republicans, and so on, continue to disagree vigorously with each other, despite all presupposing (...) some kind of basic equality. They may argue about who gets what, how much, and why, but the starting point - that all people are in some sense deserving of prima facie equal consideration - has become an axiom of our moral and political thinking. But why? Why are we basic equals? The trouble is that as soon as one asks for an explanation of this foundational premise, it begins to look shaky. After all, on any conceivable metric human beings are notably unequal, and often to striking degrees. Philosophers in this area tend to talk of equal worth, but often without trying to specify what exactly that means. Philosophically, basic equality is neither acceptable nor rejectable. It is not rejectable because we appear to be, as a matter of fact, profoundly committed to the truth of the claim that we are all one another's basic equals. But to the extent that there appear to be no philosophical arguments for believing in the truth of basic equality, it is not acceptable either. The aim of this book is to try and show why basic equality is acceptable. To do so, however, it will also contend that we need to approach the question rather differently to how it has mostly been handled so far. What's required is an exercise in what Bernard Williams called 'impure philosophy': it must include insights from other areas of human intellectual endeavour, whether psychology and history or even what we learn from how we go about practicing basic equality in our collective lives. (shrink)