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A cherry blossom is blooming and the air smells like freshly baked bread... A girl sprints through city streets, a French bulldog held in one hand, the package... A young man finds an egg yolk that simply refuses to be destroyed... Mountains are traversed, doors are opened and closed, and days come and go. With time, the distinctions that make up the world we know begin to fuse, to melt, to fade away... Small Infinities, Nikita Shorikov's debut collection of experimental short fiction and poetry, takes the reader on a one-of-a-kind surreal journey through beautiful worlds, somber dreams, heartwarming reminisces, and anxious nightmares. Exploring the nature of experience, as well as themes of life and death, nature and industry, coming-of-age, loneliness and alienation, art, urbanism, time, cyclicality, and infinity, Small Infinities is much like life itself—absurdly comical at points and deeply touching at others, and, overall, a dazzling and marvelous ride.
"You'll walk away with more gratitude for the slow burn of the healing process." — Alicia Cook, author of Sorry I Haven’t Texted You Back Tidal Pools and Other Small Infinities blurs the lines between endings and beginnings. The love story starts in the usual way: a whirlwind of confessions, late night conversations, and promises that seem sturdy. The years pass by, and novelty is replaced by a comforting routine – one that’s difficult to walk away from when things take a toxic turn. This is a collection about bravery and evolution. It takes courage to leave behind the familiar. To question all the things that once seemed undeniably true. To learn to stand on your own and, in doing so, become who you were really meant to be. Endings can be the best beginnings…once you realize you have the power to create them.
When Alice's dad moves out, leaving her with her troubled mother, she does the only thing that feels right: she retreats to her family's old Renaissance tent in the backyard, determined to live there until her dad comes home. In an attempt to keep at least one part of her summer from changing, Alice focuses on her quest to swim freestyle fast enough to get on her swim team's record board. But summers contain multitudes, and soon Alice meets an odd new friend, Harriet, whose obsession with the school's science fair is equal only to her conviction that Alice's best stroke is backstroke, not freestyle. Most unexpected of all is an unusual babysitting charge, Piper, who is mute—until Alice hears her speak. A funny and honest middle-grade novel, this sharply observed depiction of family, friendship, and Alice's determination to prove herself—as a babysitter, as a friend, as a daughter, as a person—rings loud and true.
Ian Stewart considers the concept of infinity and the profound role it plays in mathematics, logic, physics, cosmology, and philosophy. He shows that working with infinity is not just an abstract, intellectual exercise, and analyses its important practical everyday applications.
This book is an exploration of philosophical questions about infinity. Graham Oppy examines how the infinite lurks everywhere, both in science and in our ordinary thoughts about the world. He also analyses the many puzzles and paradoxes that follow in the train of the infinite. Even simple notions, such as counting, adding and maximising present serious difficulties. Other topics examined include the nature of space and time, infinities in physical science, infinities in theories of probability and decision, the nature of part/whole relations, mathematical theories of the infinite, and infinite regression and principles of sufficient reason.
A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.
The book contains popular expositions (accessible to readers with no more than a high school mathematics background) on the mathematical theory of infinity, and a number of related topics. These include G?del's incompleteness theorems and their relationship to concepts of artificial intelligence and the human mind, as well as the conceivability of some unconventional cosmological models. The material is approached from a variety of viewpoints, some more conventionally mathematical and others being nearly mystical. There is a brief account of the author's personal contact with Kurt G?del.An appendix contains one of the few popular expositions on set theory research on what are known as "strong axioms of infinity."
In this meditation on religion and science, Lightman explores the tension between our yearning for permanence and certainty, and the modern scientific discoveries that demonstrate the impermanent and uncertain nature of the world. As a physicist, he has always held a scientific view of the world. But one summer evening, while looking at the stars from a small boat at sea he was overcome by the sensation that he was merging with a grand and eternal unity, a hint of something absolute and immaterial. This is his exploration of these seemingly contradictory impulses, and the journey along the different paths of religion and science that become part of his quest. -- adapted from publisher info.
A dynamic exploration of infinity In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the “Mindscape,” where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel’s belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author.
A fun, dazzling exploration of the strange numbers that illuminate the ultimate nature of reality. For particularly brilliant theoretical physicists like James Clerk Maxwell, Paul Dirac, or Albert Einstein, the search for mathematical truths led to strange new understandings of the ultimate nature of reality. But what are these truths? What are the mysterious numbers that explain the universe? In Fantastic Numbers and Where to Find Them, the leading theoretical physicist and YouTube star Antonio Padilla takes us on an irreverent cosmic tour of nine of the most extraordinary numbers in physics, offering a startling picture of how the universe works. These strange numbers include Graham’s number, which is so large that if you thought about it in the wrong way, your head would collapse into a singularity; TREE(3), whose finite nature can never be definitively proved, because to do so would take so much time that the universe would experience a Poincaré Recurrence—resetting to precisely the state it currently holds, down to the arrangement of individual atoms; and 10^{-120}, measuring the desperately unlikely balance of energy needed to allow the universe to exist for more than just a moment, to extend beyond the size of a single atom—in other words, the mystery of our unexpected universe. Leading us down the rabbit hole to a deeper understanding of reality, Padilla explains how these unusual numbers are the key to understanding such mind-boggling phenomena as black holes, relativity, and the problem of the cosmological constant—that the two best and most rigorously tested ways of understanding the universe contradict one another. Fantastic Numbers and Where to Find Them is a combination of popular and cutting-edge science—and a lively, entertaining, and even funny exploration of the most fundamental truths about the universe.