This article discusses the history of the concepts of potential infinity and actual infinity in the context of Christian theology, mathematical thinking and metaphysical reasoning. It shows that the structure of Ancient Greek rationality could not go beyond the concept of potential infinity, which is highlighted in Aristotle's metaphysics. The limitations of the metaphysical mind of ancient Greece were overcome through Christian theology and its concept of the infinite God, as formulated in Gregory of Nyssa's theology. That is how the (...) concept of actual infinity emerged. However, Gregory of Nyssa's understanding of human rationality went still further. He said that access to the infinity of God was to be found only in an asymptotic ascension, as expressed in apophatic theology, and this view endangered the rationality of theology. Deeply influenced by the apophatic tradition, Nicholas of Cusa avoided this danger by showing that infinity could be accessed by symbolic representation and asymptotic mathematical reasoning. Thus, he made an immense contribution in making infinity rationally accessible. This endeavor was finally realized by Georg Cantor. This rational accessibility revealed discernible structures of infinity, such as the continuum hypothesis, and the cardinal numbers. However, the probable logical inconsistency of Georg Cantor's all-encompassing Absolute Infinity points to an intuitive understanding of infinity that goes beyond its rational structures – as in apophatic theology. (shrink)

Leibniz's development of a "calculus universalis" stands and falls with his theory of negation. During the entire period of the elaboration of the algebra of concepts, L1, Leibniz had to struggle hard to grasp the difference between propositional and conceptual negation. Within the framework of syllogistic, this difference seems to disappear because 'Omne A non B' may be taken to be equivalent to ‘Omne A est non-B’. Within the "universal calculus", however, the informal quantifier expression 'omne' is to be dropped. (...) Accordingly, ‘A non est B' expresses only the propositional negation of ‘A est B' and is hence logically weaker than ‘A est non-B'. Besides Leibniz's cardinal error of confusing propositional and conceptual negation the following issues are dealt with in this paper: -"Aristotelian" vs. "Scholastic" Syllogistic; – Metalinguistic theory of the truth-predicate; -Individual-concepts vs. concepts in general. (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)

Der vorliegende Band enthalt sechs teilweise stark iiberarbeitete Aufsatze, die in der Zeit zwischen der Niederschrift des Buches Theorienstrnkturen und Theoriendynamik, Springer-Verlag 1973, im folgenden mit [Theoriendynamik] bezeichnet, und der Monographie The Strncturalist View of Theories. A Pos­ sible Analogue of the Bourbaki Programme in Physical Science, Springer-Ver­ lag 1979, im folgenden kurz [Strnkturalismus] genannt, entstanden sind. In diesen Abhandlungen werden jeweils gewisse Aspekte des strukturalistischen Theorienkonzeptes behandelt. Am starksten iiberarbeitet wurden die Auf­ satze II, IV, V und VI, die (...) urspriinglich in englischer Sprache erschienen waren. Vier der sechs Arbeiten, namlich I, III, IV und VI, bilden auBerdem erweiterte Fassungen von Vortragen. Obwohl das zweite Buch [Strnkturalismus] durch P. Feyerabends ausftihr­ liche Diskussion der strukturalistischen Auffassung im British Journal for the Philosophy of Science, Dezember 1977, angeregt worden ist, stellt es seinem Ansatz und Aufbau nach eher den Versuch einer systematischen Kurzdarstel­ lung des strukturalistischen Vorgehens nach seinem letzten Stande dar. Dem­ gegeniiber entstanden die hier verOffentlichten Artikel stets aus einem ganz be­ stimmten AnlaB. Diese Anlasse konnte man schematisch in drei Klassen unter­ teilen: Entweder ging es darum, eine anschauliche intuitive Ein/iihrnng zu lie­ fern (I und V); oder die Aufgabe bestand darin, die Beziehung zu anderen philosophischen Positionen. wie z. B. derjenigen L. Wittgensteins, H. Putnams, K. Poppers oder T. S. Kuhns. zu analysieren (II. III und IV); oder es sollte zu den wichtigsten und bis dahin verOffentlichten Kritiken Stellung bezogen wer­ den (wie in VI). (shrink)

Aus epistemisch-logischer Sicht reduziert sich das Fundamentalismusproblem auf die Fragen, ob die Bedingung "a's Glaube, daß p, ist fundiert" notwendig bzw. — im Verband mit "p ist wahr" und "a ist davon überzeugt, daß p " — auch hinreichend dafür ist, daß a weiß, daß p. Drei Explikationsversuche der Fundiertheitsbedingung werden untersucht: während die ersten beiden, mit den üblichen epistemischen Termen 'wissen' und 'überzeugt sein' formulierten Varianten scheitern, erweist sich die dritte Definition mittels des Terms 'evident sein' als erfolgversprechend, sofern (...) "p ist evident für a" seinerseits durch die Bedingungen "a ist davon überzeugt, daß p" und "a kann sich bezüglich p nicht irren" definiert wird. Die genauere Bestimmung des 'kann' als (alethischen) Modaloperator ist ein offenes Problem. (shrink)

Im ersten Teil des Buches wird das «Ich»-Verständnis der christlichen Lehre, insbesondere anhand der Position von Nikolaus von Kues und Schriften von Papst Johannes Paul II., analysiert, beziehungsweise an der Position Platons gemessen. Es wird zu zeigen versucht, daß die christliche Trinitätslehre wesentliche Impulse dafür liefert, zu einer Argumentation alleine gemäß der von Platon grundgelegten noetischen Dialektik finden zu können. Im Rahmen hiervon wird dargelegt, wo das «Ich»-Verständnis der christlichen Trinitätslehre hinter jenem Platons zurückbleibt. Im zweiten Teil des Buches wird (...) eine Skizze vom «Ich» im Sinne der noetischen Dialektik gegeben, beziehungsweise dargelegt, daß jegliches Bedenken von der Aussage «Ich bin» auszugehen hat. (shrink)

We present a reconstruction of so-called classical, formal or Mendelian genetics using a notation which we believe is more legible than that of earlier accounts, and lends itself easily to computer implementation, for instance in PROLOG. By drawing from, and emending, earlier work of Balzer and Dawe (1986,1997), the present account presents the three most important lines of development of classical genetics: the so-called Mendel's laws, linkage genetics and gene mapping, in the form of a theory-net. This shows that the (...) set theoretic representation format used in the structuralist approach to the philosophy of science also applies to the domain of genetic theories. There construction is intended to lend more clarity to theme thodological, philosophical and didactical discussions of the foundations of genetics, and on the other hand to defend a formally, logically minded view of theories which seems to have become contested through the work of Feyerabend, Kuhn and Kitcher. (shrink)

The article deals with some aspects of Dilthey’s thought. First, we examine those elements of Dilthey’s philosophy that play important role in the discussion of his ideas in the 20th century. Next, we refer to the relation of some representatives of late hermeneutics to Dilthey. Finally, we study and evaluate some views of Dilthey’s critics. Key words DILTHEY, HERMENEUTIC PHILOSOPHY.

A comprehensive model for describing various forms of developments in science is defined in precise, set-theoretic terms, and in the spirit of the structuralist approach in the philosophy of science. The model emends previous accounts in centering on single systems in a homogenous way, eliminating notions which essentially refer to sets of systems. This is achieved by eliminating the distinction between theoretical and non-theoretical terms as a primitive, and by introducing the notion of intended links. The force of the model (...) is demonstrated by formally incorporating many of the important, precise meta-theoretic concepts occurring in the literature. (shrink)

This paper investigates whether managerial rhetoric in the Management Discussion and Analysis section of 10-K filings can help gauge the level of managerial opportunism in a firm. We find that the use of trust-related words is connected to inefficient investment decisions and poor operating performance. Furthermore, firms making more frequent use of trust-related words are subject to less monitoring by institutional investors or analysts. Their accounting also relies more heavily on discretionary accruals. These results are consistent with the notion that (...) managerial rhetoric to advertise trustworthiness points towards agency problems plaguing the firm. (shrink)

This paper is the most complete presentation of my views on deterministic causation. It develops the deterministic theory in perfect parallel to my theory of probabilistic causation and thus unites the two aspects. It also argues that the theory presented is superior to all regularity and all counterfactual theories of causation.

Hofmeister's reply to schwarz's paper: kant's refutation of charitable lies (ethics, Oct. 1970) attacks an imaginary disjunction of two true duties. Hofmeister's maxim 'consciousness' blots out three principal relations in truthfulness. His claim 'falsifications of facts are not immoral in themselves' vitiates all rights based on contract. Schwarz's 'overlooking' of the thematic distinction is refuted by textual evidence. Kant's alleged reversal of his stand draws on a spurious historical source.

This volume focuses on the modeling of cognition, and brings together contributions from psychologists and researchers in the field of cognitive science.

ABSTRACTWhat is better for a country, to be big or to be small? And should sovereign statehood be centralised or distributed among countries of common cultural and institutional lineage? Debates on...

In his contribution to this special issue, Almaas is keen to distinguish the individual streams of consciousness from 'pure awareness'. Since the existence of the former is presumably quite uncontroversial in present-day philosophy, I wish to concentrate on the latter, in particular on Almaas's claim that pure awareness is non-individual and ultimately it is 'the true owner of all experiences of all streams'. In my contribution, I wish to make plausible, by a philosophical reflection on the puzzling nature of the (...) I, that the ultimate subject of experience is indeed not the individual but 'the pure ego of the universe'. (shrink)