Carlo Ierna

The present article provides a critical analysis of Christian von Ehrenfels’ dissertation Über Grössenrelationen und Zahlen. Eine psychologische Studie. As many other students of Brentano, Ehrenfels engaged repeatedly with the philosophy of mathematics, but until now his dissertation remained nearly completely unknown. Ehrenfels’ dissertation, however, fits perfectly within the Brentanist philosophy of mathematics and actually occupies an important place therein, precisely because it occurs outside of the vertical master - student lineage that goes from Brentano via Stumpf to Husserl. Indeed, Ehrenfels dissertation shows many parallels and anticipations to Husserl’s early works in the philosophy of mathematics.

The so-called “intentional object” occupies a central position in the debates about intentionality in Brentano and the Brentano School. How does it relate to the correlate, the content, or the intended, possibly external, transcendent object? Does it perhaps even coincide with one of these? There was no clear consensus on this neither in Brentano’s time nor today. In order to develop a new perspective on the problem of the intentional object, I would like to introduce a deliberately radical interpretation and related terminological change: what if we were to avoid any talk of “object” in this context altogether? Perhaps this could help avoid the ambiguities and misunderstandings associated with talk of “intentional objects.” In my contribution I would like to sketch such an interpretation and consider whether this attempt could be useful to reframe the debate.

In this article I will analyse Husserl’s conception of the infinite as ex- pressed in the paragraph Unendliche Mengen of his Philosophie der Arithmetik (PA). I will give a short exposition on his distinction be- tween proper and symbolic presentations and then proceed to the logi- cal distinctions that Husserl makes between finite and infinite symbolic collections. Subsequently (in section 2.3), I will discuss Husserl’s addition of surrogate presentations as a sub-type of symbolic presentations in his short treatise Zur Logik der Zeichen (Semiotik). In this later text (which was originally intended as an appendix to the never published second volume of the PA) Husserl gives a more detailed account of how we can conceive of the infinite, using surrogate presentations.

In this article I connect two concepts that played central roles in the School of Meinong: the notion of impossible objects and that of Gestalt. Ehrenfels claims that Widerspruch or incompatibility would be a temporal Gestalt quality, specifically the trying and failing to build an intuitive presentation. Where, when, and how does this process break down exactly? Meinong’s Graz students developed a more detailed production theory for the presentation of Gestalten (Vorstellungsproduktion) which can help to determine how the failure to produce one Gestalt can generate another, which moreover is typical of impossible objects. There are three contributions to Meinong’s 1904 volume Untersuchungen zur Gegenstandstheorie und Psychologie, the ones by Mally, Benussi, and Ameseder, that provide helpful analyses to clarify the incompatibility Gestalt. These suggest three options to refine the analysis of the Gestalt of impossible objects. The conclusion is that the failure of the Vorstellungsproduktion itself is not enough, the incompatibility relation between the foundations must also play a role.

Franz Brentano is not usually associated with mathematics. Generally, only Brentano’s discussion of the continuum and his critique of the mathematical accounts of it is treated in the literature. It is this detailed critique which suggests that Brentano had more than a superficial familiarity with mathematics. Indeed, considering the authors and works quoted in his lectures, Brentano appears well-informed and quite interested in the mathematical research of his time. I specifically address his lectures here as there is much less to be found about mathematics in his published works. Besides Brentano’s own work, it is quite remarkable to see that practically all of his better-known students sooner or later produced a work on the philosophy of mathematics. This also encourages the supposition not just of a common interest in the matter, but of a common theoretical core. All this prompts the question: Can we speak of a Brentanist philosophy of mathematics?

This present collection of (translations of) reviews is intended to help obtain a more balanced picture of the reception and impact of Edmund Husserl’s first book, the 1891 Philosophy of Arithmetic. One of the insights to be gained from this non-exhaustive collection of reviews is that the Philosophy of Arithmetic had a much more widespread reception than hitherto assumed: in the present collection alone there already are fourteen, all published between 1891 and 1895. Three of the reviews appeared in mathematical journals (Jahrbuch über die Fortschritte der Mathematik, Zeitschrift für Mathematik und Physik, and Zeitschrift für mathema- tischen und naturwissenschaftlichen Unterricht), three were published in English journals (The Philosophical Review, The Monist, Mind), two were written by other members of the School of Brentano (Franz Hillebrand and Alois Höfler). Some of the reviews and notices appear to be very superficial, consisting merely of para- phrases (often without references) and lists of topics taken from the table of con- tents, presenting barely acceptable summaries. Others, among which Höfler might be the most significant, engage much more deeply with the topics and problems that Husserl addresses, analyzing his approach in the context of the mathematics of his time and the School of Brentano.

The chapter contains a brief intellectual biography of Herbert Spiegelberg, building on his numerous autobiographical remarks. It provides a survey of Spiegelberg’s early life and works and his German period, focusing more extensively on his American period. The chapter considers in some detail three important themes in Spiegelberg’s works. First, Spiegelberg’s role in spreading and developing the phenomenological method in the United States through the organization of his workshops, based on ideas from his teachers Reinach and Pfänder to phenomenologize “co-subjectively”. Second, his life-long concern with the development of a phenomenological ethics and the detailed development of the core notion of “deontic state of affairs” (Sollverhalt). Last but not least, his monumental contribution to the historiography of phenomenology with his The Phenomenological Movement. The chapter takes a critical look at the early controversies with Farber on the idea of a phenomenological “movement” in order to clarify and qualify Spiegelberg’s own conception of phenomenology. The chapter is meant as a companion piece to the translation of Karl Schuhmann’s unpublished article “Phenomenological Ontology in the Work of Herbert Spiegelberg: Ideas and Ontic and Deontic States of Affairs” which will appear in the second volume.

Franz Brentano’s 1874 Psychology from an Empirical Standpoint presents us with a framework and methodology for performing scientific research in psychology. Moreover, this project provides the foundation for the more ambitious ideal of the renewal of philosophy as a science, which had been Brentano’s aim ever since defending his habilitation thesis that “the true method of philosophy is none other than that of the natural sciences”. Brentano therefore needs to carefully articulate the precise position and role of his scientific psychology among the Geisteswissenschaften and the Naturwissenschaften. What does his ideal of philosophy as science consist in? What is the relation between his scientific psychology and philosophy? How is psychology related to the natural sciences, in particular psycho-physics and physiology?

In this article I provide an overview of the many different terms that Brentano sometimes uses as synonyms or as explanations for “intentional inexistence”. The many terms associated with intentional inexistence appear in many different contexts, and we can conclude that Brentano uses these terms primarily to describe a property that is accidental and dependent on the subject from which it arises and with which it passes away. Ontologically, both properties and substances exist, but the former requires a substance (the subject) for its existence. A mental act is to be considered as a first-order property, whereas the content (or part of the mental act) can be understood as an accident of that accident.

Among the various lecture courses that Edmund Husserl held during his time as a Privatdozent at the University of Halle (1887-1901), there was one on "Ausgewählte Fragen aus der Philosophie der Mathematik" (Selected Questions from the Philosophy of Mathematics), which he gave twice, once in the WS 1889/90 and again in WS 1890/91. As Husserl reports in his letter to Carl Stumpf of February 1890, he lectured mainly on “spatial-logical questions” and gave an extensive critique of the Riemann-Helmholtz theories. Indeed, in K I 28 many lectures on this subject can be found, which are for the greater part published in Husserliana XXI. The lecture contained in K I 28/4-12 at the Husserl-Archives Leuven, however, was left out of the selection, because the lecture contained “an analysis of the concept of number” whose content is “already known” from the Philosophie der Arithmetik. Indeed, since the lecture is from the WS 1889/90, the manuscript allows a glimpse of Husserl’s ideas halfway between his Habilitationsschrift (1887) and the Philosophie der Arithmetik (1891). Among other things, in this lecture we find the first documented use of the terms "Gestalt" and "Gestaltmoment" in Husserl.

Franz Brentano is not usually associated with mathematics. Generally, only Brentano’s discussion of the continuum and his critique of the mathematical accounts of it is treated in the literature. It is this detailed critique which suggests that Brentano had more than a superficial familiarity with mathematics. Indeed, considering the authors and works quoted in his lectures, Brentano appears well-informed and quite interested in the mathematical research of his time. I specifically address his lectures here as there is much less to be found about mathematics in his published works. Besides Brentano’s own work, it is quite remarkable to see that practically all of his better-known students sooner or later produced a work on the philosophy of mathematics. This also encourages the supposition not just of a common interest in the matter, but of a common theoretical core. All this prompts the question: Can we speak of a Brentanist philosophy of mathematics?

In this article we will address the issue whether and in how far Anton Marty had a significant influence on the development of the phenomenological movement. As “the phenomenological movement” is not a clearly defined and circumscribed notion, we need to provide an appropriate context for any comparison. The phenomenological movement grew out of the School of Brentano and we take this larger whole as our starting point. Since Marty did not found his own school or movement, but remained a Brentanist, it is quite difficult to identify a clear influence of Marty on the phenomenological movement that would not be intermingled with a general Brentanist background. A specifically Martian influence could perhaps mainly be found in the philosophy of language. We will look at Marty’s and Husserl’s shared background, mutual criticisms and common legacy in order to evaluate the significance of any influence there might have been.