This paper investigates different readings of plural and reciprocal sentences and how they can be derived from syntactic surface structures in a systematic way. The main thesis is that these readings result from different ways of inserting logical operators at the level of Logical Form. The basic operator considered here is a cumulative mapping from predicates that apply to singularities onto the corresponding predicates that apply to pluralities. Given a theory which allows for free insertion of such operators, it can (...) then be shown that the lexical semantics of the reciprocal expressions each other/one another consists of exactly two components, namely an anaphoric variable and a non-identity statement. This receives further support from the observation that it is exactly these two components that can be focused by only; all that remains to be done is to correctly manipulate these components at the level of LF. (shrink)

The analysis of knowledge and belief has provoked intensive discussions in philosophy and linguistics. One of the issues in this area is the semantics of attitude verbs whose complement expresses a thought about the Self of the thinking person. What is the content of my belief when I think that I am tired? Some philosophers propose it is a proposition, others think it is a property. It will be shown in this essay that existing proposals in either direction are unsatisfying. (...) The property theorist expells the subject of the predicate "tired" from the analysis; their theory is at best incomplete. The propositionalist has difficulties with the analysis of the pronoun that refers back to the subject of the attitude, as is the case with "he" in "Wolfgang believes he is tired". The present new proposal ventures the idea that a conscious person is endowed with their own Logical Space that deviates from the standard model in providing for a separate entity, the Self, as the object or target of inner thoughts about oneself. Moreover, this Logical Space leaves room for linguistic error: in such a model, subjects may be unable to correctly identify the reference of a name or may fail to identify the Self with its bearer. By contrast, reference to the Self is immune to error through misidentification, it is a paradigm case of brute indexicality. In consequence, de se pronouns are rigid designators in the sense of Kripke. The book solves several puzzles of reference failure and explores numerous consequences for the semantics of attitude reports and for possible world semantics in general. (shrink)

Die Syntax als die Disziplin der Linguistik, die den Satzbau zum Gegenstand hat, ist heute in eine Vielfalt einzelner Schulen zerfallen, die sich oft radikal in ihren Zielen und Methoden unterscheiden. Diese Schulenvielfalt ist z.T. darauf zurückzuführen, daß traditionelle, strukturalistische und dependenzgrammatische Ansätze den in den sechziger Jahren einsetzenden Siegeszug der Generativen Grammatik überlebt haben, unter anderem, weil sie sich bei der Erstellung von nicht rein theoretisch orientierten Sprachbeschreibungen als handlicher erwiesen. Aber auch die interne Entwicklung der Generativen Grammatik trug (...) zur Schulenvermehrung bei, insbesondere die schon früh beginnende Propagierung von Modellen, die sich mehr oder weniger weit von dem an den Arbeiten Chomskys orientierten Standard-Modell entfernten. Hinzu kamen neue Schulen, die sich durch Methoden und Ergebnisse der Logik, der Pragmatik oder der Universalienforschung inspirieren ließen und denen gemeinsam ist, daß sie dem generativen Ideal einer autonomen Syntax die Forderung nach einer inhaltlich-funktionalen Fundierung entgegensetzten. Das Handbuch versucht, diese verschiedenen Auffassungen darüber, was die Syntax zu tun hat und wie sie es zu tun hat, möglichst vollständig zu dokumentieren, und zwar sowohl unter systematischen Gesichtspunkten als auch im Hinblick auf die wissenschaftshistorische Entwicklung, die von der Sprachforschung der Antike bis zu den aktuellsten Ausprägungen der erwähnten Theoriemodelle dargestellt wird, wobei auch Ausblicke in die indische und arabische Grammatiktradition gegeben werden. So werden zahlreiche Konvergenzen sichtbar, und so kann sich der Leser ein Urteil darüber bilden, ob und wo die Schulendiversifikation mit wissenschaftlichen Fortschritten verbunden war. - Dabei wurde jedoch die Aufgabe einer umfassenden Dokumentation der syntaktischen Theorienbildung nicht so interpretiert, daß alle Richtungen in gleichem Umfang vertreten sein sollen. Vielmehr waren bestimmte Gewichtungen unumgänglich. So wurde der Generativen Grammatik in ihren verschiedenen Spielarten besondere Aufmerksamkeit gewidmet, da von ihr die meisten Impulse ausgingen. Neben der Dokumentation der syntaktischen Schulen ist es Hauptaufgabe des Handbuchs, Materialien über die variierenden Ausprägungen syntaktischer Phänomene in den Sprachen der Welt sowie über Tendenzen der sprachhistorischen Veränderung des Satzbaus zur Verfügung zu stellen. Die Autoren haben sich bemüht, ihre Beiträge auch für nicht eingearbeitete Leser verständlich und instruktiv zu gestalten. Damit spricht das Handbuch nicht nur Sprachwissenschaftler, sondern auch andere Berufsgruppen an, die in ihrer Tätigkeit mit syntaktischen Fragen in Berührung kommen, etwa Psychologen, Lehrer, EDV-Fachleute, Übersetzer, Lektoren u.a.m. (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)

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.

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

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)

We provide a finite axiomatization of the consequence , i.e. of the set of common sequential rules for and . Moreover, we show that has no proper non-trivial strengthenings other than and . A similar result is true for , but not, e.g., for +.

We provide a finite axiomatization of the consequence $\vdash ^{\wedge}\cap \vdash ^{\vee}$ , i.e. of the set of common sequential rules for $\wedge $ and $\vee $ . Moreover, we show that $\vdash ^{\wedge}\cap \vdash ^{\vee}$ has no proper non-trivial strengthenings other than $\vdash ^{\wedge}$ and $\vdash ^{\vee}$ . A similar result is true for $\vdash ^{\leftrightarrow}\cap \vdash ^{\rightarrow}$ , but not, e.g., for $\vdash ^{\leftrightarrow}\cap \vdash ^{+}$.

Aristotle's Categories can easily seem to be a statement of a naïve, pre-philosophical ontology, centered around ordinary items. Wolfgang-Rainer Mann argues that the treatise, in fact, presents a revolutionary metaphysical picture, one Aristotle arrives at by (implicitly) criticizing Plato and Plato's strange counterparts, the "Late-Learners" of the Sophist. As Mann shows, the Categories reflects Aristotle's discovery that ordinary items are things (objects with properties). Put most starkly, Mann contends that there were no things before Aristotle. The author's argument consists (...) of two main elements. First, a careful investigation of Plato which aims to make sense of the odd-sounding suggestion that things do not show up as things in his ontology. Secondly, an exposition of the theoretical apparatus Aristotle introduces in the Categories--an exposition which shows how Plato's and the Late-Learners' metaphysical pictures cannot help but seem inadequate in light of that apparatus. In doing so, Mann reveals that Aristotle's conception of things--now so engrained in Western thought as to seem a natural expression of common sense--was really a hard-won philosophical achievement. Clear, subtle, and rigorously argued, The Discovery of Things will reshape our understanding of some of Aristotle's--and Plato's--most basic ideas. (shrink)