The Infinite Quest

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Course Details

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FREE

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  • On demand

Course Provider

IAI Academy online courses
IAI Academy is a new online platform with courses from leading scholars on the ideas that matter. With a philosophical take on today’s biggest questions the courses are available to everyone for free.
IAI Academy is a new online platform with courses from leading scholars on the ideas that matter. With a philosophical take on today’s biggest questions the courses are available to everyone for free.
Provider Subject Specialization
Humanities
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Course Description

Infinity has inspired wonder and terror throughout the history of mathematics. As the cutting edge of cosmology grapples with the question of whether the infinite exists in nature, mathematicians are continuing to build on work where there can be infinitely many infinities. In this course Professor Peter Cameron shows how an idea until recently considered unworkable is in fact central to modern scientific and mathematical thought. By the end of the course, you will have learned: * why mathematics cannot work without infinity * why infinity may not exist in nature * how infinity and the curvature of space are entangled * why information may be the basis of reality * the smallest infinity possible * how to prove that infinities can have different sizes * the continuum hypothesis of infinite sets * why there is always a larger infinity As part of the course there are in-video quiz questions to con... Infinity has inspired wonder and terror throughout the history of mathematics. As the cutting edge of cosmology grapples with the question of whether the infinite exists in nature, mathematicians are continuing to build on work where there can be infinitely many infinities. In this course Professor Peter Cameron shows how an idea until recently considered unworkable is in fact central to modern scientific and mathematical thought. By the end of the course, you will have learned: * why mathematics cannot work without infinity * why infinity may not exist in nature * how infinity and the curvature of space are entangled * why information may be the basis of reality * the smallest infinity possible * how to prove that infinities can have different sizes * the continuum hypothesis of infinite sets * why there is always a larger infinity As part of the course there are in-video quiz questions to consolidate your learning, suggested further readings to stimulate a deeper exploration of the topic, discussion boards to have your say and an end-of-course assessment set by Professor Cameron. This course is eligible for official online verification. Find out how you can earn a verified certificate.
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