Ontological mathematics is the rational and logical explanation of everything. Where did it come from? If you wish to develop a profound understanding of ontological mathematics, the science that will shape the future of the human race, you need to know the context in which it evolved, and how it diverged from scientific materialism. Ontological mathematics is the subject that accomplished what scientific materialism considered impossible. It inserted mind into science, via the most powerful analytic formula in all of mathematics. What went wrong with how scientists think about reality, leading them into systemic error? This is the extraordinary tale of how the ultimate intellectual revolution unfolded in its earliest phase.

To commemorate the 50th anniversary of his passing (in 2014), this special book features studies on Alexandre Koyré (1892–1964), one of the most influential historians of science of the 20th century, who re-evaluated prevalent thinking on the history and philosophy of science. In particular, it explores Koyré’s intellectual matrix and heritage within interdisciplinary fields of historical, epistemological and philosophical scientific thought. Koyré is rightly noted as both a versatile historian on the birth and development of modern science and for his interest in philosophical questions on the nature of scientific knowledge. In the 1940s and 1950s his activities in the United States established a crucial bridge between the European historical tradition of science studies and the American academic environments, and an entire generation of historians of science grew up under his direct influence. The book brings together contributions from leading experts in the field, and offers much-needed insights into the subject from historical, nature of science, and philosophical perspectives. It provides an absorbing and revealing read for historians, philosophers and scientists alike.

In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.

"[This] magnificent critical survey, with its inherent respect for both the 'Westt's mainstream high culture' and the 'radically changing world' of the 1990s, offers a new breakthrough for lay and scholarly readers alike....Allows readers to grasp the big picture of Western culture for the first time." SAN FRANCISCO CHRONICLE Here are the great minds of Western civilization and their pivotal ideas, from Plato to Hegel, from Augustine to Nietzsche, from Copernicus to Freud. Richard Tarnas performs the near-miracle of describing profound philosophical concepts simply but without simplifying them. Ten years in the making and already hailed as a classic, THE PASSION OF THE WESERN MIND is truly a complete liberal education in a single volume.

This book introduces students to the best recent writings on the Scientific Revolution of the sixteenth and seventeenth centuries. Introduces students to the best recent writings on the Scientific Revolution of the sixteenth and seventeenth centuries. Covers a wide range of topics including astronomy, science and religion, natural philosophy, technology, medicine and alchemy. Represents a broad range of approaches from the seminal to the innovative. Presents work by scholars who have been at the forefront of reinterpreting the Scientific Revolution.

1. Evolution or revolution in mathematics -- 2. Issues in seventeenth century mathematics -- 3. Isaac Barrow: a foil to Leibniz -- 4. A young central European polymath -- 5. First steps in mathematics -- 6. The creation of calculus -- 7. Logic -- 8. The universal characteristic -- 9. The baroque cultural context -- 10. Epilogue -- 11. Some concluding remarks on mathematical change -- Appendices.

This title provides a synoptic overview of the current state of interdisciplinary research, education, administration and management, and includes problem solving-knowledge that spans the disciplines and interdisciplinary fields and crosses the space between the academic community and society at large.