Paradox & infinity
Bachelor's degree
In Maynard (USA)
Description
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Type
Bachelor's degree
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Location
Maynard (USA)
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Start date
Different dates available
This course explores different kinds of infinity; the paradoxes of set theory; the reduction of arithmetic to logic; formal systems; paradoxes involving the concept of truth; Gödel’s incompleteness theorems; the nonformalizable nature of mathematical truth; and Turing machines.
Facilities
Location
Start date
Start date
Reviews
Subjects
- Truth
Course programme
Lectures: 2 sessions / week, 1 hour / session
There are no prerequisites for this course.
In this class we will study a cluster of puzzles, paradoxes and intellectual wonders—from the higher infinite to Gödel's Theorem—and discuss their philosophical implications.
There is one required textbook:
Rucker, Rudy. Infinity and the Mind: The Science and Philosophy of the Infinite. Princeton University Press, 2004. ISBN: 9780691121277.
(If you have the 1995 printing, that's okay too; all you'll be missing is a new preface by the author.)
Other readings come from a variety of sources and are detailed in the Readings section.
For more information on the course activities, see the Assignments section.
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Paradox & infinity