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Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method
This volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic is that it narrows down the scope of logic confining it to the study of deduction, without providing tools for discovering anything new. As a result, mathematical logic has had little impact on scientific practice. Therefore, this volume proposes a view of logic according to which logic is intended,...
The Stars of Earth - new and selected poems
Emily Grosholz weaves elements of philosophy, mathematics and the sciences into her experience of the social and natural world, to produce wise and cosmopolitan poetry of high lyricism. The Stars of Earth starts with new poems chronicling the months of a year lived and observed, followed by selections from Grosholz’s previous volumes in chronological order. This rare treasury spans four decades of Grosholz’s acclaimed poetry. PRAISE FOR THE STARS OF EARTH: Emily Grosholz is a poet of radiant intelligence, patient lyricism, and meticulous craft. She has a gifted naturalist’s regard for the living world and wherever she looks that world, for its part, offers her its poetry. With a philos...
Starry Reckoning: Reference and Analysis in Mathematics and Cosmology
This book deals with a topic that has been largely neglected by philosophers of science to date: the ability to refer and analyze in tandem. On the basis of a set of philosophical case studies involving both problems in number theory and issues concerning time and cosmology from the era of Galileo, Newton and Leibniz up through the present day, the author argues that scientific knowledge is a combination of accurate reference and analytical interpretation. In order to think well, we must be able to refer successfully, so that we can show publicly and clearly what we are talking about. And we must be able to analyze well, that is, to discover productive and explanatory conditions of intelligi...
Great Circles
This volume explores the interaction of poetry and mathematics by looking at analogies that link them. The form that distinguishes poetry from prose has mathematical structure (lifting language above the flow of time), as do the thoughtful ways in which poets bring the infinite into relation with the finite. The history of mathematics exhibits a dramatic narrative inspired by a kind of troping, as metaphor opens, metonymy and synecdoche elaborate, and irony closes off or shifts the growth of mathematical knowledge. The first part of the book is autobiographical, following the author through her discovery of these analogies, revealed by music, architecture, science fiction, philosophy, and the study of mathematics and poetry. The second part focuses on geometry, the circle and square, launching us from Shakespeare to Housman, from Euclid to Leibniz. The third part explores the study of dynamics, inertial motion and transcendental functions, from Descartes to Newton, and in 20th c. poetry. The final part contemplates infinity, as it emerges in modern set theory and topology, and in contemporary poems, including narrative poems about modern cosmology.
The Clock Mirage
Named one of Book Riot's Six Great Nonfiction Books about Time: a tour of clocks throughout the centuries--from the sandglass to the telomere--that reveals the physical, biological, and social nature of time "[A] mind-stretching book. . . . Skilfully written."--John Carey, Sunday Times (London) What is time? This question has fascinated philosophers, mathematicians, and scientists for thousands of years. Why does time seem to speed up with age? What is its connection with memory, anticipation, and sleep cycles? Award-winning author and mathematician Joseph Mazur provides an engaging exploration of how the understanding of time has evolved throughout human history and offers a compelling new ...
Leibniz: What Kind of Rationalist?
Gottfried Wilhelm Leibniz was an outstanding contributor to many fields of human knowledge. The historiography of philosophy has tagged him as a “rationalist”. But what does this exactly mean? Is he a “rationalist” in the same sense in Mathematics and Politics, in Physics and Jurisprudence, in Metaphysics and Theology, in Logic and Linguistics, in Technology and Medicine, in Epistemology and Ethics? What are the most significant features of his “rationalism”, whatever it is? For the first time an outstanding group of Leibniz researchers, some acknowledged as leading scholars, others in the beginning of a promising career, who specialize in the most significant areas of Leibniz’...
Eden
In her third book of poetry Emily Grosholz brings together forty lyric, narrative, and epistolary poems that trace a pilgrimage from the Eden of childhood through alienation and loss to an earthly paradise regained as the poet establishes her own family and a new sense of the purposes of her art. The route traverses Detroit in the early twenties, Paris and Washington, D.C., in the early seventies, Athens and Toronto in the mid-eighties, yesterday's Thimphu and Cassis. But it always returns to the poet's heartland, Philadelphia and the back country of Pennsylvania and New York. Punctuated by meditations on solitude and death, the poems come full circle to the pleasures of marriage, of friends and children, of creation. To her husband, the poet writes, "However often now our woven/ lives converge and separate, my love, / today we've come this far." And to her son, "With you fast in my arms, / I'm back again in the heart's Italy."
Reflections on Poetry and the World
This collection brings together 40 years of essays about poetry and literature written by Emily Grosholz. The first section includes essays about some of her favorite poets and thinkers in the United States, England, France and Germany. The second section brings poetry into relation with ethics, politics and practical deliberation, and the third considers it alongside science and imagination. The last section is an homage to The Hudson Review, for whom she has served as an Advisory Editor for many years. As a philosopher, Emily Grosholz has written and thought about feminism, racism, and mathematics and science, which has led her to admire all the more the distinct wisdom of poetry. These essays show how poetry reorganized language and memory, eros and experience, and time and place, and how and why it deepens our understanding of life.
Troy Book
To introduce John Lydgate's landmark poem the Troy Book to students and non-specialist readers, the editor has selected the essential passages from the poem and bridges any gaps with textual summaries. Also included are an introduction, gloss, notes, and a glossary. John Lydgate, a monk of the great Benedictine abbey of Bury St. Edmunds in Suffolk, began composing the poem, an ambitious attempt at recounting the Trojan War in Middle English, in October 1412 on commission from Henry, Prince of Wales (later King Henry V), and completed it in 1420. The poem is an interesting study for those interested in medieval approaches to classical sources, as well as for its often contradictory and complicated take on contemporary chivalry.
