Here I explore how the island was transformed into the site of the instrumentalization of evil, allowing Kant to expand its conception as a land of truth concerning its default genealogy in the homeland, lending purposiveness to evil to ensure this land of truth is protected from natural illusion. By contrast, Rousseau proposed the opposite course, which surprisingly bears important links to contemporary predicaments, in line with the idea of modern progress premised on a generalizing moral ecology. By the turn (...) of the 20th century, reason usurped a new title claiming this land as a planetary system, touted as the second Copernican revolution. This new revolution overlaps with the geological acknowledgment of the turn to the Anthropocene in the century that follows. The article concludes with an interpretation of the Anthropocene as an anxious competition for misrepresenting the future, borrowing the Deleuzian sense of the desert island and the power of the false, vis-a-vis Derrida’s no-world spatiality, altogether shaped by a new relational ontology in a time of climate change compounded by post-truth challenges to political democracy. (shrink)

Computation and formalization are not modalities of pure abstractive operations. The essay tries to revise the assumption of the constitutive nonsensuality of the formal. The argument is that formalization is a kind of linear spatialization, which has significant visual dimensions. Thus, a connection can be discovered between visualization by figurative graphism and formalization by symbolic calculations: Both use spatial relations not only to represent but also to operate on epistemic, nonspatial, nonvisual entities. Descartes was one of the pioneers of using (...) this kind of two-dimensional spatiality as a cognitive instrument. (shrink)

This paper proposes that intuitive technologies play a vital role in cognition and cultural reception. The case of music is considered in particular. The perceived temporality of contemporary technology is shown to be an artificial barrier to the acknowledgement of longer-term dynamics. The increased role of explanatory metaphors from technology is traced across various fields of study. Processes of sense-making—conscious or otherwise—are seen as an informal, unreflected repertory of mechanisms ranging from predictive models to instrumental metaphors. It is suggested that (...) these derive by assimilation and induction from the technological milieu within which the subject develops and operates. The acquisition of these models and metaphors is itself an imaginative process, based on experience ranging from partial expertise to fantastical extrapolation. (shrink)

Traditional philosophy of mathematics has been concerned with the nature of mathematical objects rather than events. This traditional focus on reified objects is reflected in dominant theories of learning mathematics whereby the learner is meant to acquire familiarity with ideal mathematical objects, such as number, polygon, or tangent. I argue that the concept of event—rather than object—better captures the vitality of mathematics, and offers new ways of thinking about mathematics education. In this paper I draw on two different but related (...) theories of event articulated in the philosophies of Alain Badiou and Gilles Deleuze to argue that the central activity of ‘problem solving’ in mathematics education should be recast in terms of a problematic of events. (shrink)

This essay will strive to provide the reader with various entry points into the project of François Laruelle's non-standard philosophy and its relation to non-aesthetics, via its relation to philosophy as rigorous fiction. It is a new genre, what Laruelle also calls a philo-fiction. Via Laruelle's preoccupation with photography as a new kind of thought, we will follow his trajectory of applying non-philosophy to photography. From his concept of non-photography and continued in Photo-Fiction, a Non-Standard Aesthetics, Laruelle's practice of striving (...) to create a genre of thinking that would be akin to science fiction and use philosophy as material shows itself in the form of experimental, theoretical applications of his philo-fiction to the photo. In their performative thrust, one can begin to see the components or what he calls aspects of philosophy and quantum physics, including the use of superposition and the imaginary number, as well as conceptual personae and generic humanity. Laruelle's work has at its base a highly poetic, fictional strain that in striving to superpose philosophy and art (fiction) also has at its core a place for reducing the violence of decision and actions attempting to work within a space of radical immanence and radical passivity. A performation-withoutperformance. Laruelle will call the photo a ?weak insurrection.? This particle of Laruelle strives merely for such a poetic attempt. (shrink)

The collection Virtual Mathematics: the logic of difference brings together a range of new philosophical engagements with mathematics, using the work of French philosopher Gilles Deleuze as its focus. Deleuze’s engagements with mathematics rely upon the construction of alternative lineages in the history of mathematics in order to reconfigure particular philosophical problems and to develop new concepts. These alternative conceptual histories also challenge some of the self-imposed limits of the discipline of mathematics, and suggest the possibility of forging new connections (...) between philosophy and more recent developments in mathematics. This component of Deleuze’s work has, to date, been rather neglected by commentators working in the field of Deleuze studies. One of the aims of this collection is to address this critical deficit by providing a philosophical presentation of Deleuze’s relation to mathematics; one that is adequate to his project of constructing a philosophy of difference and to the exploration of some of its applications. This project developed as a result of encounters with an increasing number of researchers who have been working on the mathematical aspects of Deleuze’s work and the key role that these play in his philosophy. By bringing this work together for the first time, this collection makes an important contribution to the emerging body of work that endeavours to explore the broad range of Deleuze’s philosophy. (shrink)