Gödel's Incompleteness Theorems
-
- Einzelkauf Download ausgewählt
-
Sprache:Englisch
1,99 €
inkl. gesetzl. MwSt.Beschreibung
Produktdetails
Format
ePUB
Kopierschutz
Ja
Family Sharing
Ja
Text-to-Speech
Ja
Erscheinungsdatum
24.05.2026
Verlag
The Turing AppSeitenzahl
(Printausgabe)
Dateigröße
5417 KB
Sprache
Englisch
EAN
9798235949461
This book is a Weekend Pocketbook on One of Mathematics' Biggest Awakenings, The Gödel's Incompleteness Theorem. This discovery that changed how we understand truth, proof, mathematics, and the limits of certainty. Written in everyday language, we explore how one quiet mathematician revealed that even mathematics has truths it cannot fully capture.
What happens when the most certain subject humans ever built turns out to have cracks in its foundation? We begin in the early 20th century, when David Hilbert and other great mathematicians dreamed of building a complete, consistent system that could settle every mathematical question. Then came Kurt Gödel, whose ingenious use of self-reference and Gödel numbering allowed arithmetic to talk about itself, and produced a statement that says, in effect, "I cannot be proved."
We explore Gödel's first and second incompleteness theorems, asking why some true statements cannot be proven inside a system, and why no sufficiently powerful system can prove its own consistency from within. Along the way, we see why this did not destroy mathematics, but instead made it deeper, stranger, and more open-ended.
We also follow incompleteness beyond Gödel. We discuss the Continuum Hypothesis, Alan Turing's Halting Problem, Gregory Chaitin's constant, undecidable questions in quantum physics, and the unsettling possibility that limits to knowledge appear not only in mathematics, but in computation and nature itself.
Noch keine Bewertungen vorhanden
Verfassen Sie die erste Bewertung zu diesem Artikel
Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.
Kurze Frage zu unserer Seite
Vielen Dank für dein Feedback
Wir nutzen dein Feedback, um unsere Produktseiten zu verbessern. Bitte habe Verständnis, dass wir dir keine Rückmeldung geben können. Falls du Kontakt mit uns aufnehmen möchtest, kannst du dich aber gerne an unseren Kund*innenservice wenden.
zum Kundenservice