We propose two admissible closures $${\mathbb{A}({\sf PTCA})}$$ and $${\mathbb{A}({\sf PHCA})}$$ of Ferreira’s system PTCA of polynomial time computable arithmetic and of full bounded arithmetic (or polynomial hierarchy computable arithmetic) PHCA. The main results obtained are: (i) $${\mathbb{A}({\sf PTCA})}$$ is conservative over PTCA with respect to $${\forall\exists\Sigma^b_1}$$ sentences, and (ii) $${\mathbb{A}({\sf PHCA})}$$ is conservative over full bounded arithmetic PHCA for $${\forall\exists\Sigma^b_{\infty}}$$ sentences. This yields that (i) the $${\Sigma^b_1}$$ definable functions of $${\mathbb{A}({\sf PTCA})}$$ are the polytime functions, and (ii) the $${\Sigma^b_{\infty}}$$ definable (...) functions of $${\mathbb{A}({\sf PHCA})}$$ are the functions in the polynomial time hierarchy. (shrink)

Die Zeit und der Begriff von Zeit, den Menschen haben, prägen sowohl unsere Alltagspraxis als auch die Wissenschaften. Die Beiträger reflektieren Zeitbegriff und Zeithorizonte in den verschiedenen Wissenschaften. Dabei finden sich philosophische Forderungen nach einer Reflexion des Handlungs- und Gestaltcharakters der Zeit ebenso wie wissenschaftshistorische Erörterungen zum Thema in den Experimentalwissenschaften und aktuelle naturwissenschaftliche Probleme wie z. B. das Problem der Irreversibilität. Beiträge zum Umgang mit der Zeit aus rechtshistorischer Sicht runden den Band ab.

in: Compendium of Quantum Physics, ed. by F. Weinert, K. Hentschel, D. Greenberger, and B. Falkenburg (Springer 2008).

After a brief outline of the topic of non-language thinking in mathematics the central phenomenological tool in this concern is established, i.e. the eidetic method. The special form of eidetic method in mathematical proving is implicit variation and this procedure entails three rules that are established in a simple geometrical example. Then the difficulties and the merits of analogical thinking in mathematics are discussed in different aspects. On the background of a new phenomenological understanding of the performance of non-language thinking (...) in mathematics the well-known theses of B. L. van der Waerden that mathematical thinking to a great extent proceeds without the use of language is discussed in a new light. (shrink)

A Criticism misjudging itself too. On the Deficiency of Reflection in Formal Explications. The criticism formulated by L. B. Puntel concerning the theory of dialectic proposed by the author is rejected. Puntel's attempt at explicating predication by means of predicate logic fails: It misjudges predication being already presupposed for the possibility of predicate logic, thus belonging to the transcendental conditions of formal predicate logic, so that predication itself cannot be further explicated by means of such logic. What is in fact (...) criticized by Puntel is something like an artefact of formalization. The unreflected application of formal logic here generates problems instead of solving them. (shrink)

Das Buch von Ulrich Lüke mit dem gewichtigen Titel „Mensch - Natur - Gott" enthält Aufsätze dieses Verfassers, insbesondere zu Fragen des Verhältnisses von Naturwissenschaft zu Schöpfungstheologie. Lüke beklagt hier eine große Sprachlosigkeit. Die Schöpfungstheologie habe die Evolutionstheorie noch gar nicht so recht wahrgenommen, es gehe erst einmal darum, das Terrain für einen künftigen Dialog zu bereiten. Dieser Dialog soll im Rahmen einer Einheitsrationalität stattfinden. Lüke vergleicht die verschiedenen Wissenschaften mit dem elektromagnetischen Spektrum, wo es zwar sehr verschiedene Phänomene, aber (...) keine wirklichen Brüche gibt. Von diesem Standpunkt aus erscheinen ihm Überlegungen, wie sie sich z.B. bei Karl Rahner oder Bela Weißmahr finden obsolet, denn diese grenzen ein metaphysisches Kausalitätsprinzip von empirischen Formen von Kausalität ab. Dies führe zu einer „Ursachenverdopplung". (shrink)

Das Buch von Ulrich Lüke mit dem gewichtigen Titel „Mensch - Natur - Gott" enthält Aufsätze dieses Verfassers, insbesondere zu Fragen des Verhältnisses von Naturwissenschaft zu Schöpfungstheologie. Lüke beklagt hier eine große Sprachlosigkeit. Die Schöpfungstheologie habe die Evolutionstheorie noch gar nicht so recht wahrgenommen, es gehe erst einmal darum, das Terrain für einen künftigen Dialog zu bereiten. Dieser Dialog soll im Rahmen einer Einheitsrationalität stattfinden. Lüke vergleicht die verschiedenen Wissenschaften mit dem elektromagnetischen Spektrum, wo es zwar sehr verschiedene Phänomene, aber (...) keine wirklichen Brüche gibt. Von diesem Standpunkt aus erscheinen ihm Überlegungen, wie sie sich z.B. bei Karl Rahner oder Bela Weißmahr finden obsolet, denn diese grenzen ein metaphysisches Kausalitätsprinzip von empirischen Formen von Kausalität ab. Dies führe zu einer „Ursachenverdopplung". (shrink)

Das Buch von Ulrich Lüke mit dem gewichtigen Titel „Mensch - Natur - Gott" enthält Aufsätze dieses Verfassers, insbesondere zu Fragen des Verhältnisses von Naturwissenschaft zu Schöpfungstheologie. Lüke beklagt hier eine große Sprachlosigkeit. Die Schöpfungstheologie habe die Evolutionstheorie noch gar nicht so recht wahrgenommen, es gehe erst einmal darum, das Terrain für einen künftigen Dialog zu bereiten. Dieser Dialog soll im Rahmen einer Einheitsrationalität stattfinden. Lüke vergleicht die verschiedenen Wissenschaften mit dem elektromagnetischen Spektrum, wo es zwar sehr verschiedene Phänomene, aber (...) keine wirklichen Brüche gibt. Von diesem Standpunkt aus erscheinen ihm Überlegungen, wie sie sich z.B. bei Karl Rahner oder Bela Weißmahr finden obsolet, denn diese grenzen ein metaphysisches Kausalitätsprinzip von empirischen Formen von Kausalität ab. Dies führe zu einer „Ursachenverdopplung". (shrink)

A Criticism misjudging itself too. On the Deficiency of Reflection in Formal Explications. The criticism formulated by L. B. Puntel concerning the theory of dialectic proposed by the author is rejected. Puntel's attempt at explicating predication by means of (second order) predicate logic fails: It misjudges predication being already presupposed for the possibility of predicate logic, thus belonging to the transcendental conditions of formal predicate logic, so that predication itself cannot be further explicated by means of such logic. What is (...) in fact criticized by Puntel is something like an artefact of formalization. The unreflected application of formal logic here generates problems instead of solving them. (shrink)

This paper describes a research program that focuses on the explanation of political protest and its causes. The starting point is Mancur Olson’s theory of collective action. This theory is modified, extended and applied to explain political protest. In particular, it is argued that only a wide version of Rational Choice theory that includes ‘soft’ incentives as well as misperception is capable of providing valid explanations of protest behavior. Another part of the research program is the utilization of survey research (...) to test the predictions about protest behavior that are generated from the wide version of Rational Choice theory. The research program further aims at (a) comparing empirically Rational Choice and alternative propositions, (b) providing micro-macro explanatory models, (c) dynamic theoretical models, and (d) explaining preferences and beliefs which are usually treated as exogenous variables. The paper further reports, some results of the research program. (shrink)

When does a human being begin to exist? Barry Smith and Berit Brogaard have argued that it is possible, through a combination of biological fact and philosophical analysis, to provide a definitive answer to this question. In their view, a human individual begins to exist at gastrulation, i. e. at about sixteen days after fertilization. In this paper we argue that even granting Smith and Brogaard's ontological commitments and biological assumptions, the existence of a human being can be shown to (...) begin much earlier, viz., with fertilization. Their interpretative claim that a zygote divides immediately into two substances and therefore ceases to exist is highly implausible by their own standards, and their factual claim that there is no communication between the blastomeres has to be abandoned in light of recent embryological research. (shrink)

M. Wetzel: Objektiver Idealismus und Prinzip Subjektivität in der Philosophie der Natur - G. F. Frigo: Aristoteles' Einfluß auf Hegels Naturphilosophie - W. Neuser: Das Anderssein der Idee, das Außereinandersein der Natur und der Begriff - H.-H. von Borzesz-kowski / R. Wahsner: Gibt es eine Logik der Physik als Vorstufe zur Hegelschen Begriffslogik - E.-O. Onnasch: System und Methode in der Philosophie Hegels - B. Braßler: Vorzüge einer Theorie der Dialektik - L. Fleischhacker: Mathematik und Natur, Verwandte oder Fremde - (...) P. Stekeler-Weithofer: Mathematisches und begriffliches Denken in Hegels Wissenschaft der Logik - M. J. Petry: Physik und Mathematik um 1790: Hegel und Schelling als Schüler Pfleiderers - P. Ziche: Raumdimensionen und Prinzipienreduktion. Beweise für die Dreidimensionalität des Raumes bei Schelling und Hegel - T. Bach: Leben als Gattungsprozeß: Historisch-systematische An-merkungen von Pflanze und Tier bei Hegel - S. Büttner: Das Manko des Organischen und die Krankheit als dessen Wahrheit - O. Breidbach: Überlegungen zur Typik des Organischen in Hegels Denken - C. Illies: Die Gene, die Meme und Wir - W. Kellerwessel: Reschers idealistische Dialektik - V. Hösle: Wahrheit und Verstehen. Davidson, Gadamer und das Desiderat einer objektiv-idealistsichen Hermeneutik - P. Várdy: Das Lächerliche und das Absolute - A. Rieckers: Photons and Mcroscopic Reality. (shrink)

Der Mathematiker Erhard Weigel (1625-1699) gilt bisher als einer der bedeutendsten deutschen Vertreter der sog. "Fruehaufklärung". Dieser Band hinterfragt nun diesen traditionellen und deshalb allzu bequemen philosophiegeschichtlichen Begriff nach seiner Erklärungsfunktion innerhalb der modernen Wissenschaftsgeschichte. In komparatistischer Sicht auf die deutsche Universitätslandschaft nehmen die Beiträger den institutionellen Rahmen und seine konkreten Auswirkungen auf den Lehrbetrieb in den Blick, um die Bedingungen des damaligen Wissenschaftsverständnisses und seiner Entwicklungsrichtungen zu untersuchen. Im Fokus stehen die Verwandlungen der aristotelischen Basis des Wissenschaftsverständnisses und was (...) sich damalige Universitätslehrer als Autoren explizit (z.B. in Form wissenschaftstheoretischer Schriften und Lehrbuecher) oder implizit (z.B. in Form der von ihnen praktizierten Wissenschaft) unter Wissenschaft vorgestellt und ihrem gelehrten Publikum vermittelt haben. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:BOOK REVIEWS 127 les Paiens de leurs t6nebres,... de les fortifier de telle sorte contre les pr~jugez & contre les erreurs populaires qu'ils fussent incapables d'y tomber. Again, we learn that Bayle says "we do not know if a substance is by nature spiritual or corporeal, nor if the soul is immortal" with references to "Pyrrhon, B" and "Charron, O" (p. 112). Whatever Professor Mason means about substance, it (...) is not contained as far as I can see in "Pyrrhon, B"; and the point in "Charron, O" is that there is no irrefutable proof of the immortality of the soul. 2Professor Mason is following Voltaire's example more thanBayle's when he attributes to an author implications or attitudes not clearly expressed in the original. This is not to say that his conclusions are totally invalidated; on the contrary, they stand up despite his unreliability on Bayle, for his principal concern is Voltaire's reactions to the Scholar of Rotterdam. Apart from these reservations, it is good to have so important and so complicated a subject so compactly documented. CRAm B. BRVS~ Columbia University Das medizinische Weltbild des Paracelsus. Seine Zusammenhiinge mit Neuplatonismus und Gnosis. By Waiter Pagel. (Wiesbaden: Franz Steiner Verlag, 1962. "Kosmosophie", Forschungen und Texte zur Geschichte des Weltbildes, der Naturphilosophie, der Mystik und des Spiritualismus vom Sp~tmittelalter bis zur Romantik, ed. by K. Goldammer, Vol. I. Pp. xvi ~- 160. DM 24.) The new monograph series "Kosmosophie" couId not have been introduced more excellently than by Walter Pagel's work on Paracelsus which supplements and extends his earlier study Paracelsus, An Introduction to Philosophical Medicine in the Era of the Renaissance (Basel & New York: 1958). The new series is devoted to studies in the history of science, exploring the old traditions of a "sophic" understanding of the cosmos which always existed side by side with a "logical" one, i.e., the heritage from ancient mysticism, gnosticism, alchemy, and metaphysical speculation which so "disgracefully" characterizes the beginnings of modern science. In this book, Pagel tries to locate the great physician and philosopher Theophrastus of Hohenheim called Paracelsus (1493-1541) within the history of science at that turning point between the Middle Ages and the Renaissance and to understand him on the basis of the specific relationship of inheriting and modifying the traditions of neoplatonie and gnostic thought in his writings. After an introductory chapter about Paracelsus's position in the history of medicine and in contemporary times, the author investigates the neoplatonic and gnostic sources and presuppositions for the medical-physical world-view of Paracelsus. It should have been pointed out more clearly in this chapter, however, that the study of gnosticism and its effect upon the thinking of the later Hellenism is still in its beginning stages. He describes, then, Paracelsus's world of ideas as it is to be seen in the light of these neoplatonic and gnostic traditions: the doctrines of the invisible spiritual world, the astral powers, the astral body, dualism of sex, the two kinds of fire, the Logoi, the elements, primordial matter, etc. In each case, possible connections with the Hermetic writings, alchemy, gnosticism, neoplatonism, and their transmission through mysticism, cabbala, and the neoplatonic philosophers of the Renaissance (especially Marsilius Ficinus) as well as through St. Augustine have been discussed. Here are a few other distressing misrepresentations of what Bayle has to say: p. 30, on Jews; p. 30, n. 6, on the inspiration of scripture; p. 31, n. 2, on the same subject; p. 37, on miracles; p. 61, n. 1, on man's dominion over animals; p. 92, n. 4, on Christian and natural morality; p. 137, n. 4, on moral and speculative dogmas. Page 92, n. 9, refers to several pages in which Bayle's concluding remark flatly contradicts Professor Mason's interpretation. Spot checks in Moland have turned up no misrepresentations of Voltaire's thought, which is generally less qualified than Bayle's. 128 HISTORY OF PHILOSOPHY The result is that this Hellenistic-Middle Age syncretism has had a far-reaching influence upon Paracelsus's thought. Because he was in no way a systematic philosopher, his writings are full of contradictions, developments, unitarian and dualistic tendencies, theistic... (shrink)

Insofern entwickelt die Begriffslogik eine Epistemologie freien Denkens. Damit entscheidet sich Hegel in den nachkantischen Debatten für Kant und gegen den von Schelling in die Diskussion zurückgebrachten Spinozismus.

This chapter establishes the concept of a “symbolic system of representation“ to make clear how it is possible that humans use not only the language-based system of representation for cognitive contents but also a many layered non-linguistic system, a system which we probably share with other species. A symbolic system of representation denotes a general concept of a performance of which our language is only one single case, but which nevertheless is most easily explained through the case of language. A (...) system of representation should enable us to form and manipulate an idea of a state of affairs or of an event without having the appropriate intuition of it. We usually think that we do this only using linguistic expressions, but this is not the whole truth. Language is one system of representation, but we can in principle conceive of other systems of representation with the same performance. Husserl’s theory of meaning already reveals this possibility. A phenomenological analysis reveals that a non-linguistic system of representation is in fact still functioning in our own consciousness. We simultaneously use different means of representation, the most prominent of which are language, gestures, feelings and scenic images. It is especially fruitful to investigate the scenic mode of daydreaming as a central form of non-linguistic thinking. Through a close comparison of alternative systems of representation, the systematic difference of usual semantics in normal language systems based on convention and the more natural similarity semantics of some non-linguistic systems of representation is revealed. (shrink)

My contribution tries to outline some of the motives that lead Husserl to genetic phenomenology. The starting point are the analyses he wrote to include in Ideas I and Ideas II, which are dedicated to the founding of human sciences during the period 1910–1916. Here we find an intertwinement of investigations concerned with an understanding of others and their contribution to the constitution of objectivity, and new research of the genesis of the way in which individual experience shapes our access (...) to the world. My main interest is to point out systematic connections between these two directions of research which are general characteristics of genetic phenomenology. (shrink)

This work responds by tracing the details of the relationship between transcendental and practical freedom through Kant's writings.

In der 1970 gegründeten Reihe erscheinen Arbeiten, die philosophiehistorische Studien mit einem systematischen Ansatz oder systematische Studien mit philosophiehistorischen Rekonstruktionen verbinden. Neben deutschsprachigen werden auch englischsprachige Monographien veröffentlicht. Gründungsherausgeber sind: Erhard Scheibe (Herausgeber bis 1991), Günther Patzig (bis 1999) und Wolfgang Wieland (bis 2003). Von 1990 bis 2007 wurde die Reihe von Jürgen Mittelstraß mitherausgegeben.

Name der Zeitschrift: Kant-Studien Jahrgang: 106 Heft: 3 Seiten: 461-486.