Sensible Mathematics
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The Mathmos
The universe is nothing like how it appears to us. So, what's it really like? What is it in itself? Neither our senses nor any experiments can reveal the ultimate truth of existence. Fortunately, one thing can: reason. We inhabit the Mathmos: the mathematical cosmos. This book reveals the compelling secrets of the hidden reality that we will never once "see", but we can surely know - thanks to mathematics. Do we live in a rational universe or a random universe? This is the choice between a mathematical universe and a scientific universe. The mathematical universe has a rational ultimate answer, the scientific universe does not. The scientific universe is magicked out of non-existence, as if out of a magician's top hat. Are you a member of the magicians' cult of science? Nothing is more alchemical than modern science. You can generate a cosmos out of randomness in nothingness, which is a much greater trick than merely manufacturing gold from lead.
Transcendental Mathematics
Science is about the mundane, visible world. Religion is about the transcendent, invisible world. Atheists believe that science is the only way to explain the world. Agnostics think it's the best way. But is science actually a system of explanation at all, or merely a good problem-solving tool and method that achieves practical success in the observable world? Isn't science, like God, in need of an explanation? What is its ontological and epistemological basis? What limitations does it have? How does it define "Truth"? Immanuel Kant, via his philosophy of transcendental idealism, attempted to explain science within a philosophical and even religious context. This attempt ultimately failed, but the project itself need not be abandoned. This book shows, via a detailed investigation of Kant's philosophy, that the only way to make sense of science is via transcendental mathematics.
Sensible Mathematics
Author: Steve Leinwand
language: en
Publisher: Heinemann Educational Books
Release Date: 2000
Designed for school leaders, this highly useful guide provides the tools you need to make a vision of sensible mathematics a reality for all students.