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SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity , international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.

Infinite --- Infinity --- Finite, The

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Sommes-nous obliges d'aimer le fini ? Sommes-nous condamnes a croire que l'appropriation serait notre veritable voie d'acces au reel ? Devons-nous considerer que l'amour de la propriete est devenu notre ineluctable destin ? Jusqu'a present, seul l'amour du fini a declare l'etre . On sait maintenant les consequences desastreuses de la domination de l'amour du fini sur la pensee. Pour autant, rien n'en a rompu le regne. L'amour du fini s'est deplace et metamorphose, mais, en ses multiples formes, il gouverne toujours la pensee. Est-il ineluctable que celle-ci accueille et reitere encore l'absurde croyance a la nature ? La puissance de cette fiction ne saurait s'imposer sans fin a nous. Qu'est la philosophie si ce n'est la decision d'exercer sans restriction l'activite de la pensee ? Par quoi se reconnait-elle requise ? Par la production effective de son extension. Mais cette aspiration bute d'abord sur la restriction que nous lui imposons : celle de notre appropriation du monde. A quoi la philosophie oeuvre-t-elle ? A l'abolition de l'entrave principielle et generale qu'est l'amour du fini. C'est a cette premiere destruction (avant celle de la personnalite puis de la nature ) que se consacre ce volume. La metaphysique, que l'on peut considerer comme le regne de l'amour du fini, asservit l'exercice de la pensee. Cette derniere ne pourra recouvrer sa puissance qu'en s'en delivrant, notamment par un anti-humanisme radical.

Finite, The. --- Ontology.

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Finite, The --- History --- Heidegger, Martin

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Philosophical thinking is interrupted by the finitude of what cannot be named, on the one hand, and that within which it is subsumed as one of multiple modes of sense-making, on the other. Sense and Singularity elaborates Jean-Luc Nancy’s philosophical project as an inquiry into the limits or finitude of philosophy itself, where it is interrupted, and as a practice of critical intervention where philosophy serves to interrupt otherwise unquestioned ways of thinking. Nancy’s interruption of philosophy, Van Den Abbeele argues, reveals the limits of what philosophy is and what it can do, its apocalyptic end and its endless renewal, its Sisyphean interruption between the bounds of infinitely replicating sense and the conceptual vanishing point that is singularity. In examinations of Nancy’s foundational rereading of Descartes's cogito as iterative, his formal experimentations with the genres of philosophical writing, the account of “retreat” in understanding the political, and the interruptive play of sense and singularity in writings on the body, sexuality, and aesthetics, Van Den Abbeele offers a fresh account of one of our major thinkers as well as a provocative inquiry into what philosophy can do.

Finite, The --- Nature (Aesthetics) --- Sense (Philosophy)

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Finite, The --- Sense (Philosophy) --- Thought and thinking