ionism as a foundational programme in the philosophy of mathematics traditionally originates with Gottlob Frege. According to it, significant portions of mathematics (arithmetic, possibly r...

This Handbook documents the main trends in current research between logic and language, including its broader influence in computer science, linguistic theory and cognitive science. The history of the combined study of Logic and Linguistics goes back a long way, at least to the work of the scholastic philosophers in the Middle Ages. At the beginning of this century, the subject was revitalized through the pioneering efforts of Gottlob Frege, Bertrand Russell, and Polish philosophical logicians such as Kazimierz Ajdukiewicz. (...) Around 1970, the landmark achievements of Richard Montague established a junction between state-of-the-art mathematical logic and generative linguistic theory. Over the subsequent decades, this enterprise of Montague Grammar has flourished and diversified into a number of research programs with empirical and theoretical substance. This appears to be the first Handbook to bring logic-language interface to the fore. Both aspects of the interaction between logic and language are demonstrated in the book i.e. firstly, how logical systems are designed and modified in response to linguistic needs and secondly, how mathematical theory arises in this process and how it affects subsequent linguistic theory. The Handbook presents concise, impartial accounts of the topics covered. Where possible, an author and a commentator have cooperated to ensure the proper breadth and technical content of the papers. The Handbook is self-contained, and individual articles are of the highest quality. (shrink)

(2012). Gingerbread Nuts and Pebbles: Frege and the Neo-Kantians – Two Recently Discovered Documents. British Journal for the History of Philosophy. ???aop.label???. doi: 10.1080/09608788.2012.692665.

Gottlob Frege ist der Begründer der modernen Logik und einer der Väter der analytischen Philosophie. Bertrand Russell, Rudolf Carnap und Ludwig Wittgenstein haben seine Ideen aufgegriffen und weiterentwickelt. Dieses Buch liefert eine Bestandsaufnahme zu Werk und Wirkung Freges. Gewürdigt werden seine Leistungen als Logiker, Mathematiker, Sprachphilosoph und Methodologe. Im Ausgang von historischen Untersuchungen zum ursprünglichen 'kontinentalen' Ort des Frege schen Denkens wird die internationale Rezeption und das systematische Gewicht der Philosophie Frege s entfaltet. Mit Beiträgen von: Michael Astroh, Detlef (...) Gronau, Wolfgang Kienzler, Lothar Kreiser, Volker Peckhaus, Eva Picardi, Erich H. Reck, Marco Ruffino, Christiane Schildknecht, Joachim Schulte, Rainer Stuhlmann-Laeisz, Christian Thiel, Kai F. Wehmeier. (shrink)

The epistomology of the definition of number and the philosophical foundation of arithmetic based on a comparison between Gottlob Frege's logicism and Platonic philosophy (Syrianus, Theo Smyrnaeus, and others). The intention of this article is to provide arithmetic with a logically and methodologically valid definition of number for construing a consistent philosophical foundation of arithmetic. The – surely astonishing – main thesis is that instead of the modern and contemporary attempts, especially in Gottlob Frege's Foundations of Arithmetic, such (...) a definition is found in the arithmetic in Euclid's Elements. To draw this conclusion a profound reflection on the role of epistemology for the foundation of mathematics, especially for the method of definition of number, is indispensable; a reflection not to be found in the contemporary debate (the predominate ‘pragmaticformalism’ in current mathematics just shirks from trying to solve the epistemological problems raised by the debate between logicism, intuitionism, and formalism). Frege's definition of number, ‘The number of the concept F is the extension of the concept ‘numerically equal to the concept F”, which is still substantial for contemporary mathematics, does not fulfil the requirements of logical and methodological correctness because the definiens in a double way (in the concepts ‘extension of a concept’ and ‘numerically equal’) implicitly presupposes the definiendum, i.e. number itself. Number itself, on the contrary, is defined adequately by Euclid as ‘multitude composed of units’, a definition which is even, though never mentioned, an implicit presupposition of the modern concept ofset. But Frege rejects this definition and construes his own - for epistemological reasons: Frege's definition exactly fits the needs of modern epistemology, namely that for to know something like the number of a concept one must become conscious of a multitude of acts of producing units of ‘given’ representations under the condition of a 1:1 relationship to obtain between the acts of counting and the counted ‘objects’. According to this view, which has existed at least since the Renaissance stoicism and is maintained not only by Frege but also by Descartes, Kant, Husserl, Dummett, and others, there is no such thing as a number of pure units itself because the intellect or pure reason, by itself empty, must become conscious of different units of representation in order to know a multitude, a condition not fulfilled by Euclid's conception. As this is Frege's main reason to reject Euclid's definition of number (others are discussed in detail), the paper shows that the epistemological reflection in Neoplatonic mathematical philosophy, which agrees with Euclid's definition of number, provides a consistent basement for it. Therefore it is not progress in the history of science which hasled to the a poretic contemporary state of affairs but an arbitrary change of epistemology in early modern times, which is of great influence even today. (shrink)

Diese Arbeit stellt Freges Denken in seiner Entwicklung von den Anfängen bis zum Auftreten des Widerspruch dar. Ausführlich behandelt sind die Begriffsschrift, die Erläuterungsschriften dazu, die Grundlagen der Arithmetik sowie die Texte im Übergang zu den Grundgesetzen der Arithmetik, ein- schließlich der klassischen Aufsätze Funktion und Begriff, Über Sinn und Bedeutung und Über Begriff und Gegenstand. Die Texte werden nach Chronologie und Stellung zueinander präzise aufgeschlüsselt; auch die zeitgenössischen Rezensionen und Freges wissenschaftliches Umfeld werden berücksichtigt. Freges Werk wird dadurch in (...) seiner beeindruckenden Zielstrebigkeit, Geschlossenheit und Tiefe sichtbar. Sein Zentrum ist die radikale Neufassung der Logik, ausgehend von der Grundunterscheidung von Begriff und Gegenstand, die zunächst eher unauffällig über die Zerfällung des Urteils in Funktion und Argument eingeführt und mit f(a) notiert wird. Zusammen mit der Einführung einer (Quantoren-)Notation, um die Allgemeinheit der Einsetzungen auf beiden Positionen einzuschränken, übertrifft Freges Logik die traditionelle, alle zeitgenössischen und etliche spätere an Präzision und Ausdruckskraft. Eben die grundsätzliche Trennung von Begriff und Gegenstand erweist sich aber für sein wissenschaftliches Hauptanliegen, die Ableitung der Arithmetik aus der Logik, als schwerwiegendes, letztlich nicht zu überwindendes Hindernis. Es gelingt ihm nicht, die Zahlen als „logische Gegenstände“ überzeugend einzuführen, und so zeigt er wider Willen die wesentliche Verschiedenheit von Logik und Arithmetik auf. (shrink)

At the turn of the century, Gottlob Frege and Edmund Husserl both participated in the discussion concerning the foundations of logic and mathematics. Since the 1960s, comparisons have been made between Frege's semantic views and Husserl's theory of intentional acts. In quite recent years, new approaches to the two philosophers' views have appeared. This collection of articles opens with the first English translation of Dagfinn Føllesdal's early classic on Husserl and Frege of 1958. The book brings together a number (...) of new contributions by well-known authors and gives a survey of recent developments in the field. It shows that Husserl's thought is coming to occupy a central role in the philosophy of logic and mathematics, as well as in the philosophy of mind and cognitive science. The work is primarily meant for philosophers, especially for those working on the problems of language, logic, mathematics, and mind. It can also be used as a textbook in advanced courses in philosophy. (shrink)

Introducing analytic philosophy -- F.H. Bradley and monistic idealism -- G.E. Moore on idealism, the good, and common sense -- Gottlob Frege : logic and the philosophy of language -- Bertrand Russell on relations, descriptions, and knowledge -- E.E. Constance Jones on language and logic -- Ludwig Wittgenstein on language and philosophy -- Logical empiricism : meaning, metaphysics, and mathematics -- Susan Stebbing on logic, language, and analysis -- W.V.O Quine on analyticity and ontology -- Analytic philosophy since 1950.

In this paper I want to do the following things. First I want to show that in the part of the Theaetetus where the relationship between knowledge and perception is examined, the concept of knowledge that is in question is very clearly characterized. We are left in no doubt as to what is to count as knowing. Secondly I want to unravel in some detail the case that Socrates puts on Protagoras’ behalf where he draws on what Protagoras actually wrote (...) ; as opposed to what he may have taught secretly to his pupils. Thirdly I wish to argue that if we let the dialogue speak for itself, it is manifest that this case put up on Protagoras’ behalf at 151 E-152C is not overthrown; it is not even shaken.In that part of the dialogue where the question is under examination whether or not knowledge and perception are the same, Socrates uses an idealized concept of knowledge. That is, he restricts the use of the word by setting down what he will consider to be the essential characteristics of knowledge, the sufficient and necessary conditions of its being instantiated. An excellent piece of philosophical procedure. (shrink)

Because anticipated and retrospective regret play important roles in practical deliberation and motivation, better understanding them can illuminate the contours of human agency. However, the possibility of self-ignorance and the fact that we change over time can make regret—especially anticipatory regret—not only a poor predictor of where the agent will be in the future but also an unreliable indicator of where the agent stands. Granting these, this paper examines the way in which prospective and, particularly, retrospective regret can nevertheless yield (...) important insight into the sorts of creatures we are, both generally and individually. The experience of retrospective regret can show a person she values something in a way she did not know or that she is (or was) a different person than she had thought, insights which can factor into forward-looking, or prospective, deliberation. Such instances of revelatory regret reveal something to the agent about herself as agent. I examine two cases of agential self-ignorance. In the first, the experience of regret reveals what the agent values, not only to others but even to the agent himself. In the second, the agent anticipates experiencing regret for an action but does not experience the regret, suggesting that the agent did not value the rejected alternative in the way she thought. Anticipatory regret is forward-looking and can play an important role in practical deliberation. But insofar as anticipatory regret flows from one’s imperfect judgment and prospection about oneself, retrospective regret can be an important corrective in helping the agent understand her own standpoint. (shrink)

In his newly updated version of The Anatomy of a Constitutional Law Case, Alan F. Westin provides a documentary portrait of historically important constitutional law case, 'Youngstown Sheet & Tube Co. v. Sawyer, ' from its rise in a bargaining dispute in the steel industry during 1952 to the aftermath of its decision by the United States Supreme Court. Westin has added to his classic book additional materials and personal commentaries collected since the work was first published. The new information (...) covers what went on within the Truman administration, what went on within the Supreme Court when analyzing and resolving issues that come before it. Westin includes selections from transcripts, briefs and other official proceedings, adds notes describing each phase of the constitutional process, and a section of commentary and questions relating this case to others. (shrink)

,Etwa zwei Monate vor dem Tode sagte Husserl:,Man solle seine Vergangenheit nicht trivialisieren. ' "1 Die Herausforderung dieser Worte lieB sich nur schwer abschatzen, als ich dem Stifter des Husserl-Archivs, meinem Freund Pater Van Breda, im Januar I974- zwei Monate vor seinem unzeitigen Hingang- den von ihm so sehr begruBten und geforderten EntschluB, eine Husserl-Bio­ graphie zu schreiben, naher erlauterte. Mancherlei ware darin ein­ zubringen gewesen: Ubersicht uber die Geschicke des Bismarck­ Staates und das aufkommende Hitler-Reich, Vertrautheit mit Stifter und (...) Hofmannsthal, Kenntnis der Theorie mathematischer Funktionen wie der Psychologie der Wurzburger Schule, Einsicht in die Einfuhlungslehre von Lipps wie auch Heideggers Seins­ frage. Aber solche Absicht erwies sich hauptsachlich deswegen als undurchfiihrbar, weil es derzeit noch am Notigsten fehlt: an einer verlaBlichen Durcharbeitung von Husserls Denken und seiner Entwicklung, wie sie sich in den veroffentlichten Werken, vor al­ lem aber im Meer bewahrter Manuskripte niederschlug. Hier galt es, da viel bisher im Dunkeln liegt, die Materialien zu einer Bio­ graphie erst einmal bereitzustellen und, wenn auch oft nur um­ riBhaft, fur die Zukunft sicherzustellen. Ergebnis dieser Beschei­ dung ist die vorliegende Chronik. GewiB, Husserl ware selbst der befugteste interpres sui gewe­ sen. Doch was er unterm 20. Juni rg2r an den Meiner Verlag schrieb - der,Stand seiner Lebensarbeit" erlaube es ihm zur Zeit nicht, zu der in diesem Verlag erscheinenden Reihe von Selbstdarstellungen einen Beitrag zu liefern (F I r8/r + 25) -, galt, wie gerade unsere Chronik deutlich macht, fur ihn zeitlebens. (shrink)

In recent years, there has been a heated debate about how to interpret findings that seem to show that humans rapidly and automatically calculate the visual perspectives of others. In the current study, we investigated the question of whether automatic interference effects found in the dot-perspective task (Samson, Apperly, Braithwaite, Andrews, & Bodley Scott, 2010) are the product of domain-specific perspective-taking processes or of domain-general “submentalizing” processes (Heyes, 2014). Previous attempts to address this question have done so by implementing inanimate (...) controls, such as arrows, as stimuli. The rationale for this is that submentalizing processes that respond to directionality should be engaged by such stimuli, whereas domain-specific perspective-taking mechanisms, if they exist, should not. These previous attempts have been limited, however, by the implied intentionality of the stimuli they have used (e.g. arrows), which may have invited participants to imbue them with perspectival agency. Drawing inspiration from “novel entity” paradigms from infant gaze-following research, we designed a version of the dot-perspective task that allowed us to precisely control whether a central stimulus was viewed as animate or inanimate. Across four experiments, we found no evidence that automatic “perspective-taking” effects in the dot-perspective task are modulated by beliefs about the animacy of the central stimulus. Our results also suggest that these effects may be due to the task-switching elements of the dot-perspective paradigm, rather than automatic directional orienting. Together, these results indicate that neither the perspective-taking nor the standard submentalizing interpretations of the dot-perspective task are fully correct. (shrink)

Are we witnessing progress or regress in the recent increasing popularity and electoral success of populist politicians and parties in consolidated democratic nations? ... Is the innovative use of popular referendum in Great Britain to settle fundamental constitutional questions a progressive or regressive innovation? ... Similarly, is the increasing use of constituent assemblies to change constitutions across the world evidence of progress in democratic constitutionalism, or, a worryingly regressive change back toward unmediated popular majoritarianism? ... This paper reflects on some (...) of the perils and promise of framing such questions with the conceptual couplet of progress and regress. It considers four compelling critiques of the use of ‘progress’ and its cognates in sociopolitical theory, as well as arguing that such concepts are nevertheless ineliminable for our normative theories. The paper concludes by suggesting that we can avoid the most serious problems by employing only conceptions of political progress and regress that are piecemeal, pragmatic, and processual. (shrink)

This article assesses the role of Immanuel Kant’s ideas in the historical philosophy of Gustav Shpet (1879—1937). This theme has been largely ignored by Shpet scholars who have concentrated on comparing his logical-methodological theories with the ideas of representatives of phenomenology (E. Husserl, R. Ingarden and others) and hermeneutics (F. Schleiermacher, W. Dilthey, H. Lipps, H.-G. Gadamer and others). Accordingly, the authors consistently reconstruct “the sphere of conversation” within which Shpet’s concept of “historical philosophy” was formed and reveal the (...) place and role of Kant’s ideas in Shpet’s theories (with particular focus on the Plato-Kant antithesis). Among Shpet’s “interlocutors” with whom he discusses Kant and thus “ploughs” the field of historical philosophy are G. I. Chelpanov and E. Husserl, B. Bolzano and A. Trendelenburg, F. Heman and M. Frischeisen-Kohler. We have attached Shpet’s notes on Kant in the archive of his family. Shpet’s attitude to Kant was controversial (while of course largely critical) and yet he was aware that Kant was the foundation of European philosophy and that his efforts to resolve the epistemological problem merit a second, thorough examination and a retracing of the path followed by Kant. The authors show that Shpet’s notes on Kant have more than historical-philosophical relevance. They enable us to take a new look at many theoretical and cognitive problems and, even more importantly, make us rethink the fundamental tenets of philosophy and the methodology of scientific cognition. (shrink)

Autobiography and Teacher Development in China investigates the roles of autobiography in teacher education, as several scholars in China recontextualize Western conceptions of teacher development, combining them with uniquely Chinese cultural conceptions to articulate a reconceptualization of teacher development that holds worldwide significance. Framed by the work of Zhang Hua and William F. Pinar, these theoretical and practical essays point to an internationally inflected reconceptualization of teachers' professional development, pre-service and in-service. This volume addresses multiple movements of teacher education reform (...) worldwide, focused on crafting a nationally distinctive course not only internationally, but also culturally, historically, and locally. (shrink)

Contents: List of Contributors VII; Roberto Poli: Foreword IX-X; Roberto Poli: The Brentano puzzle: an introduction 1; Dallas Willard: Who needs Brentano? The wasteland of philosophy without its past 15; Claire Ortiz Hill: Introduction to Paul Linke's 'Gottlob Frege as philosopher' 45; Paul F. Linke: Gottlob Frege as philosopher 49; John Blackmore: Franz Brentano and the University of Vienna Philosophical Society 1888-1938 73; Alf Zimmer: On agents and objects: some remarks on Brentanian perception 93; Liliana Albertazzi: Perceptual saliences (...) and nuclei of meaning 113; Jan Srzednicki: Brentano and the thinkable 139; Claire Ortiz Hill: From empirical psychology to phenomenology. Edmund Husserl on the 'Brentano puzzle' 151; Serena Cattaruzza: Brentano and Boltzmann: the Schubladenexperiment 169; Karl Schuhmann: Johannes Daubert's theory of judgement 179; Evelyn Dölling: On Alexius Meinong's theory of signs 199; Robin Rollinger: Linguistic expressions and acts of meaning: comments on Marty's philosophy of language 215-225. (shrink)

,Etwa zwei Monate vor dem Tode sagte Husserl:,Man solle seine Vergangenheit nicht trivialisieren. ' "1 Die Herausforderung dieser Worte lieB sich nur schwer abschatzen, als ich dem Stifter des Husserl-Archivs, meinem Freund Pater Van Breda, im Januar I974- zwei Monate vor seinem unzeitigen Hingang- den von ihm so sehr begruBten und geforderten EntschluB, eine Husserl-Bio­ graphie zu schreiben, naher erlauterte. Mancherlei ware darin ein­ zubringen gewesen: Ubersicht uber die Geschicke des Bismarck­ Staates und das aufkommende Hitler-Reich, Vertrautheit mit Stifter und (...) Hofmannsthal, Kenntnis der Theorie mathematischer Funktionen wie der Psychologie der Wurzburger Schule, Einsicht in die Einfuhlungslehre von Lipps wie auch Heideggers Seins­ frage. Aber solche Absicht erwies sich hauptsachlich deswegen als undurchfiihrbar, weil es derzeit noch am Notigsten fehlt: an einer verlaBlichen Durcharbeitung von Husserls Denken und seiner Entwicklung, wie sie sich in den veroffentlichten Werken, vor al­ lem aber im Meer bewahrter Manuskripte niederschlug. Hier galt es, da viel bisher im Dunkeln liegt, die Materialien zu einer Bio­ graphie erst einmal bereitzustellen und, wenn auch oft nur um­ riBhaft, fur die Zukunft sicherzustellen. Ergebnis dieser Beschei­ dung ist die vorliegende Chronik. GewiB, Husserl ware selbst der befugteste interpres sui gewe­ sen. Doch was er unterm 20. Juni rg2r an den Meiner Verlag schrieb - der,Stand seiner Lebensarbeit" erlaube es ihm zur Zeit nicht, zu der in diesem Verlag erscheinenden Reihe von Selbstdarstellungen einen Beitrag zu liefern (F I r8/r + 25) -, galt, wie gerade unsere Chronik deutlich macht, fur ihn zeitlebens. (shrink)

Theorists of public reason such as John Rawls often idealize constitutional courts as exemplars of public reason. This paper raises questions about the seduction and limits of analogies between theorists’ account of public reason and actual constitutional jurisprudence. Examining the work product of the United States Supreme Court, the paper argues that while it does engage in reason-giving to support its decisions—as the public reason strategy suggests— those reasons are (largely) legalistic and specifically juristic reasons—not the theorists’ idealized moral-political reasons (...) on matters of fundamental principle. But if constitutional courts do not engage on matters of fundamental principle, then a public reason strategy for assuaging democratic worries about judicial review would no longer be open: prominent liberal and deliberative democratic theorists could no longer point to the alleged superiority of constitutional courts to speak in the name of, and for, the people’s shared political principles. The paper extends beyond the U.S. case study by pointing to three institutional factors explaining the disanalogy between what some constitutional courts do and what public reason theories require them to do. It concludes with considerations about whether the public reason strategy might be more successfully applied to international courts. (shrink)