How can we invent new certain knowledge in a methodical manner? This question stands at the heart of Salomon Maimon's theory of invention. Chikurel argues that Maimon's contribution to the ars inveniendi tradition lies in the methods of invention which he prescribes for mathematics. Influenced by Proclus' commentary on Elements, these methods are applied on examples taken from Euclid's Elements and Data. Centering around methodical invention and scientific genius, Maimon's philosophy is unique in an era glorifying the artistic genius, known as Geniezeit. Invention, primarily defined as constructing syllogisms, has implications on the notion of being given in intuition as well as in symbolic cognition. Chikurel introduces Maimon's notion of analysis in the broader sense, grounded not only on the principle of contradiction but on intuition as well. In philosophy, ampliative analysis is based on Maimon's logical term of analysis of the object, a term that has yet to be discussed in Maimonian scholarship. Following its introduction, a new version of the question quid juris? arises. In mathematics, Chikurel demonstrates how this conception of analysis originates from practices of Greek geometrical analysis.

How can we invent new certain knowledge in a methodical manner? This question stands at the heart of Salomon Maimon's theory of invention. Chikurel argues that Maimon's contribution to the ars inveniendi tradition lies in the methods of invention which he prescribes for mathematics. Influenced by Proclus' commentary on Elements, these methods are applied on examples taken from Euclid's Elements and Data. Centering around methodical invention and scientific genius, Maimon's philosophy is unique in an era glorifying the artistic genius, known as Geniezeit. Invention, primarily defined as constructing syllogisms, has implications on the notion of being given in intuition as well as in symbolic cognition. Chikurel introduces Maimon's notion of analysis in the broader sense, grounded not only on the principle of contradiction but on intuition as well. In philosophy, ampliative analysis is based on Maimon's logical term of analysis of the object, a term that has yet to be discussed in Maimonian scholarship. Following its introduction, a new version of the question quid juris? arises. In mathematics, Chikurel demonstrates how this conception of analysis originates from practices of Greek geometrical analysis.

How can we invent new certain knowledge in a methodical manner? Chikurel argues that Maimon's contribution to the ars inveniendi tradition lies in the methods of invention, applied on Euclidean geometry, and in his notion of analysis as grounded b

The Maimonides Review of Philosophy and Religion is an annual collection of double-blind peer-reviewed articles that seeks to provide a broad international arena for an intellectual exchange of ideas between the disciplines of philosophy, theology, religion, cultural history, and literature and to showcase their multifarious junctures within the framework of Jewish studies. Contributions to the Review place special thematic emphasis on scepticism within Jewish thought and its links to other religious traditions and secular worldviews. The Review is interested in the tension at the heart of matters of reason and faith, rationalism and mysticism, theory and practice, narrativity and normativity, doubt and dogma.

The Essay on a New Logic or Theory of Thinking, originally published in Berlin in 1794, was Salomon Maimon's hard-won success after a lifetime's pursuit of philosophical wisdom, Timothy Franz presents its first English translation. Franz translates the entirety of the New Logic, Maimon's Letters to Aenesidemus, two hostile reviews he vigorously annotated, and his letters to Kant, Reinhold, and Fichte about the work. Franz prefaces the text with a new history of Maimon's unique philosophical development, an introduction that discusses Maimon's relation to Kant, and a commentary that reconciles Maimon's idiosyncratically disjointed style with his unified vision of a systematic philosophy of reflection. This makes Maimon's work available for further study.

This book offers an archeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in the 1930s, critical theory steadfastly opposed the mathematization of thought. Mathematics flattened thought into a dangerous positivism that led reason to the barbarism of World War II. The Mathematical Imagination challenges this narrative, showing how for other German-Jewish thinkers, such as Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer, mathematics offered metaphors to negotiate the crises of modernity during the Weimar Republic. Influential theories of poetry, messianism, and cultural critique, Handelman shows, borrowed from the philosophy of mathematics, infinitesimal calculus, and geometry in order to refashion cultural and aesthetic discourse. Drawn to the austerity and muteness of mathematics, these friends and forerunners of the Frankfurt School found in mathematical approaches to negativity strategies to capture the marginalized experiences and perspectives of Jews in Germany. Their vocabulary, in which theory could be both mathematical and critical, is missing from the intellectual history of critical theory, whether in the work of second generation critical theorists such as Jürgen Habermas or in contemporary critiques of technology. The Mathematical Imagination shows how Scholem, Rosenzweig, and Kracauer’s engagement with mathematics uncovers a more capacious vision of the critical project, one with tools that can help us intervene in our digital and increasingly mathematical present. The Mathematical Imagination is available from the publisher on an open-access basis.

Through a series of studies by leading scholars in the field, At the Edges of Thought sheds new light on key philosophical encounters with thinkers such as Maimon, Kleist, Hoelderlin, Fichte, Hegel, Schopenhauer and Feuerbach in Deleuze's texts.