Research Catalog
Gödel's disjunction : the scope and limits of mathematical knowledge
- Title
- Gödel's disjunction : the scope and limits of mathematical knowledge / Leon Horsten, Philip Welsh.
- Author
- Horsten, Leon
- Publication
- Oxford ; New York, NY : Oxford University Press, 2016.
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| Status | Format | Access | Call Number | Item Location |
|---|---|---|---|---|
| Text | Request in advance | QA8.4 .H67 2016g | Off-site |
Holdings
Details
- Additional Authors
- Welsh, Philip
- Description
- 277 pages; 24 cm
- Summary
- The logician Kurt Godel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is equivalent to a Turing machine (i.e., a computer), or there are absolutely undecidable mathematical problems. In the second half of the twentieth century, attempts have been made to arrive at a stronger conclusion. In particular, arguments have been produced by the philosopher J.R. Lucas and by the physicist and mathematician Roger Penrose that intend to show that the mathematical mind is more powerful than any computer. These arguments, and counterarguments to them, have not convinced the logical and philosophical community. The reason for this is an insufficiency if rigour in the debate. The contributions in this volume move the debate forward by formulating rigorous frameworks and formally spelling out and evaluating arguments that bear on Godel's disjunction in these frameworks. The contributions in this volume have been written by world leading experts in the field.
- Subjects
- Bibliography (note)
- Includes bibliographical references and index.
- ISBN
- 9780198759591
- 0198759592
- LCCN
- 99969243223
- OCLC
- ocn946011000
- 946011000
- SCSB-5869343
- Owning Institutions
- Columbia University Libraries