This was the address given on the occasion of the award of the Goethe Institute’s Goethe Medal to the Hungarian philosopher Ágnes Heller in 2010. Other recipients of the Medal have included Bruno Bettelheim, György Ligeti, Ernst Gombrich, Karl Popper, and Lars Gustafsson.

This paper consists of three main sections. In the first section, we consider how early attempts at understanding the relationship between mathematics and philosophy in Leibniz’s thought were often made within the framework of grand reconstructions guided by intellectual trends such as the search for “the ideal of system”. In the second section, we proceed to recount Leibniz’s first encounter with contemporary mathematics during his four years of study in Paris presenting some of the earliest mathematical successes which he made (...) there. In particular, we argue that recently published letters and papers reveal how his youthful mathematical reflexions were deeply intertwined with important philosophical insights that, in turn, acted as guiding ideas for his mathematical research. Finally, in the third section, we situate the central themes of the essays of the present volume within the new understanding of the interrelations between philosophy and mathematics in Leibniz’s thought briefly indicated in the opening section. (shrink)

In this paper, we discuss the prevailing view amongst philosophers and many mathematicians concerning mathematical proof. Following Cellucci, we call the prevailing view the “axiomatic conception” of proof. The conception includes the ideas that: a proof is finite, it proceeds from axioms and it is the final word on the matter of the conclusion. This received view can be traced back to Frege, Hilbert and Gentzen, amongst others, and is prevalent in both mathematical text books and logic text books.

Johann Wolfgang von Goethe is most famous for his work on color theory, but he was also an accomplished all-round scientist, studying and writing on anatomy, geology, botany, zoology and meteorology. This book draws together, in Goethe's own words, his key ideas on nature, science and scientific method. Goethe believed that we should study our world and nature as people at home in it, rather than removedly, as if we were aliens from another planet. He adopted a (...) qualitative approach to science at odds with Newton's quantitative methods that were so popular in his day. His is a sensitive science which does not ignore our relationship to nature. The extracts in this book are fascinating and essential reading for anyone who feels that we've lost our spiritual connection to nature. (shrink)

Die Arbeit untersucht die Bedeutung der Analogie an der Schnittstelle von Wissenschaft und Ästhetik um 1800. Hierfür analysiert sie ihre mathematischen und rhetorischen Ursprüngen in der Antike und zeichnet davon ausgehend ihre Rückkehr in der M.

This paper revisits some of Chateaubriand’s critical considerations with regard to representing our reasoning practices in logic and mathematics by means of “idealized syntax”. I focus on the persistently critical side of these considerations which aim to prepare the ground for “an interesting epistemology of logic and mathematics” that ought to make room for understanding the pragmatic dimensions of proofs as explanatory rational displays. First, I discuss the 20th century “syntactic conception” of the logical and the underlying set of values (...) it upholds. Secondly, I revisit the syntactic constraints on systematizing our formal forms of reasoning and ask about the relationship between “idealized” proofs construed as “syntactic objects” and the variety of formal forms of reasoning with its uses of the logical by the research mathematician. Finally, I consider the reasons why Chateaubriand thinks the syntactic requirements of “logical rigor” cannot be fulfilled, and why they ought not to be on the agenda. I conclude my paper by pointing to a deeper assumption which needs to be critically revisited as it stands in the way to what the author envisages as an “interesting epistemology of logic and mathematics”.O presente artigo reconsidera algumas das considerações críticas de Chateaubriand com relação a representar nossa prática de raciocínios em lógica e matemática por meio de uma “sintaxe idealizada”. Concentro-me no aspecto invariavelmente crítico dessas considerações, que têm por objetivo preparar o terreno para “uma epistemologia interessante da lógica e da matemática”, a qual deve abrir caminho para a compreensão da dimensão pragmática de provas como exibição racional explicativa. Em primeiro lugar, discuto a “concepção sintática” da noção de lógica do século XX e o conjunto de valores que ela sustenta. Em segundo lugar, eu reconsidero as restrições sintáticas impostas à sistematização de nossos raciocínios formais e pergunto sobre a relação entre provas “idealizadas” construídas como “objetos sintáticos” e a variedade de modos formais de raciocínios com os seus usos do lógico pelos pesquisadores em matemática. Por fim, eu considero as razões pelas quais Chateaubriand pensa que os requisitos sintáticos do “rigor lógico” não podem ser satisfeitos, e por que eles não deveriam ser parte da agenda. Concluo meu artigo apontando uma assunção mais profunda que precisa ser reconsiderada criticamente uma vez que ela representa um obstáculo àquilo que o autor vislumbra como uma “epistemologia interessante da lógica e da matemática”. (shrink)

Quem quer que de algum modo tenha se ocupado da teoria da poesia, e particularmente da tragédia, recordar-se-á de uma passagem em Aristóteles que causou muita dificuldade aos intérpretes, sem que pudessem concordar completamente sobre o seu significado. Numa caracterização mais precisa da tragédia, o grande homem parece esperar dela que, por meio da encenação de ações e acontecimentos que suscitam compaixão e medo, purifique (reinigen) o ânimo do espectador das paixões mencionadas. Acredito poder comunicar de melhor maneira meus pensamentos (...) e minha convicção sobre a passagem mencionada por meio de uma tradução dela. (shrink)

One of the important determinants of development during the transition to adulthood is the undertaking of social roles characteristic of adults, also in the area of finishing formal education, which usually coincides with beginning fulltime employment. In the study discussed in this paper, it has been hypothesized that continuing full-time education above the age of 26, a phenomenon rarely observed in Poland, can be considered as an unpunctual event that may be connected with difficulties in the process of identity formation. (...) Relationships between identity dimensions and identity statuses, and age and educational context were analyzed. 693 individuals aged 19-35 took part in the study. The participants attended three types of educational institutions: full-time university studies, part-time university studies, and full-time post-secondary school. Among the students of full-time university studies predictable dependencies, also in respect of highlevels of indicators of identity crisis and a high frequency of diffused identity occurrence, were observed. Such dependencies were not found in the group of full-time post-secondary school students. (shrink)

Ten years after his death, Vilém Flusser’s reputation as one of Europe’s most original modern philosophers continues to grow. Increasingly influential in Europe and Latin America, the Prague-born intellectual’s thought has until now remained largely unknown in the English-speaking world. His innovative writings theorize—and ultimately embrace—the epochal shift that humanity is undergoing from what he termed "linear thinking" toward a new form of multidimensional, visual thinking embodied by digital culture. For Flusser, these new modes and technologies of communication make possible (...) a society in which dialogue between people becomes the supreme value.The first English-language anthology of Flusser’s work, this volume displays the extraordinary range and subtlety of his intellect. A number of the essays collected here introduce and elaborate his theory of communication, influenced by thinkers as diverse as Martin Buber, Edmund Husserl, and Thomas Kuhn. While taking dystopian, posthuman visions of communication technologies into account, Flusser celebrates their liberatory and humanizing aspects. For Flusser, existence was akin to being thrown into an abyss of absurd experience or "bottomlessness"; becoming human required creating meaning out of this painful event by consciously connecting with others, in part through such technologies. Other essays present Flusser’s thoughts on the future of writing, the revolutionary nature of photography, the relationship between exile and creativity, and his unconventional concept of posthistory. Taken together, these essays confirm Flusser’s importance and prescience within contemporary philosophy.Vilém Flusser was born in Prague and taught philosophy in Brazil. Andreas Ströhl is director of the film department at the Goethe-Institut Inter Nationes in Munich. Erik Eisel works for a software technology company in Southern California. (shrink)