From Certainty to Fallibility

Authors :: Elena Anne Marchisotto
Reuben Hersh
Philip J. Davis
Source :: Modern Birkhäuser Classics ISBN: 9780817682941, The Companion Guide to the Mathematical Experience ISBN: 9780817638498
Publication Year :: 2011
Publisher :: Birkhäuser Boston, 2011.
Abstract: IF YOU DO mathematics every day, it seems the most natural thing in the world. if you stop to think about what you are doing and what you means, it seems one of the most mysterious. How are we able to tell about things no one has ever seen, and understand them better than the solid objects of daily life? Why is Euclidean geometry still correct, while Aristotelian physics is dead long since? What do we know in mathematics, and how do we know it?

Subjects :: Mathematical practice
Philosophy
media_common.quotation_subject
Pythagorean theorem
Euclidean geometry
Natural (music)
Axiomatic system
Certainty
Gödel's incompleteness theorems
Formal system
Epistemology
media_common

ISBN :: 978-0-8176-8294-1
978-0-8176-3849-8
ISBNs :: 9780817682941 and 9780817638498
Database :: OpenAIRE
Journal :: Modern Birkhäuser Classics ISBN: 9780817682941, The Companion Guide to the Mathematical Experience ISBN: 9780817638498
Accession number :: edsair.doi.dedup.....b10f629f8aaf87cb9125e89aef40d5bf
Full Text :: https://doi.org/10.1007/978-0-8176-8295-8_7