Lyt når som helst, hvor som helst

Nyd den ubegrænsede adgang til tusindvis af spændende e- og lydbøger - helt gratis

  • Lyt og læs så meget du har lyst til
  • Opdag et kæmpe bibliotek fyldt med fortællinger
  • Eksklusive titler + Mofibo Originals
  • Opsig når som helst
Start tilbuddet
DK - Details page - Device banner - 894x1036

The Search for Mathematical Roots, 1870–1940: Logics, Set Theories and the Foundations of Mathematics from Cantor through Russell to Gödel

Sprog
Engelsk
Format
Kategori

Fakta

While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913).

This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GödeI.

Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials.

Written for mathematicians, logicians, historians, and philosophers--especially those interested in the historical interaction between these disciplines--this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since.

© 2011 Princeton University Press (E-bog): 9781400824045

Release date

E-bog: 11. februar 2011

Andre kan også lide...

  1. Theory and Reality: An Introduction to the Philosophy of Science Peter Godfrey-Smith
  2. The Princeton Companion to Mathematics Timothy Gowers
  3. Journey to the Edge of Reason: The Life of Kurt Gödel Stephen Budiansky
  4. What We Cannot Know: Explorations at the Edge of Knowledge Marcus du Sautoy
  5. Nietzsche: Philosophy in an Hour Paul Strathern
  6. Making and Breaking Mathematical Sense: Histories and Philosophies of Mathematical Practice Roi Wagner
  7. The Open Society and Its Enemies: New One-Volume Edition Karl Popper
  8. How to Be Free: An Ancient Guide to the Stoic Life Epictetus
  9. Mathematics in Nature: Modeling Patterns in the Natural World John Adam
  10. How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics William Byers
  11. What Kind of Creatures Are We? Noam Chomsky
  12. Fluke: The Math and Myth of Coincidence Joseph Mazur
  13. Conscious: A Brief Guide to the Fundamental Mystery of the Mind Annaka Harris
  14. The Joy of Science Jim Al-Khalili
  15. Calculating the Cosmos: How Mathematics Unveils the Universe Ian Stewart
  16. Exact Thinking in Demented Times: The Vienna Circle and the Epic Quest for the Foundations of Science Karl Sigmund
  17. Infinite Powers: How Calculus Reveals the Secrets of the Universe Steven Strogatz
  18. Philosophy of Language Scott Soames
  19. In Pursuit of Zeta-3: The World's Most Mysterious Unsolved Math Problem Paul J. Nahin
  20. Martin Gardner: The Magic and Mystery of Numbers Scientific American
  21. The Man Who Knew Too Much: Alan Turing and the Invention of the Computer David Leavitt
  22. The Fourth Age: Smart Robots, Conscious Computers, and the Future of Humanity Byron Reese
  23. Descartes: Philosophy in an Hour Paul Strathern
  24. The Drunkard's Walk: How Randomness Rules Our Lives Leonard Mlodinow
  25. Fashion, Faith, and Fantasy in the New Physics of the Universe Roger Penrose
  26. Absolutely Small: How Quantum Theory Explains Our Everyday World Michael D Fayer
  27. Maths on the Back of an Envelope: Clever ways to (roughly) calculate anything Rob Eastaway
  28. Mathematical Knowledge and the Interplay of Practices José Ferreirós
  29. A History of Western Philosophy Bertrand Russell
  30. Across the Board: The Mathematics of Chessboard Problems John J. Watkins
  31. Mechanics of the Solar System: An Introduction to Mathematical Astronomy J.A. Evans
  32. Traveling at the Speed of Thought: Einstein and the Quest for Gravitational Waves Daniel Kennefick
  33. Viewpoints: Mathematical Perspective and Fractal Geometry in Art Marc Frantz
  34. Calculus Made Easy: A Simple Introduction to Those Terrifying Methods Called The Differential and Integral Calculus Silvanus P. Thompson
  35. Just Six Numbers: The Deep Forces That Shape the Universe Martin Rees
  36. Introduction to Mathematical Sociology Philip Lu
  37. The Joy of X: A Guided Tour of Math, from One to Infinity Steven Strogatz
  38. Free Will Sam Harris
  39. Ecce Homo Friedrich Nietzsche
  40. Time Reborn: From the Crisis in Physics to the Future of the Universe Lee Smolin
  41. Gravity’s Century: From Einstein’s Eclipse to Images of Black Holes Ron Cowen
  42. The Pleasure of Finding Things Out: The Best Short Works of Richard P. Feynman Richard P. Feynman
  43. The Meaning of It All: Thoughts of a Citizen-Scientist Richard P. Feynman
  44. “What Do You Care What Other People Think?”: Further Adventures of a Curious Character Richard P. Feynman
  45. Ripples in Spacetime: Einstein, Gravitational Waves, and the Future of Astronomy Govert Schilling
  46. The World According to Physics Jim Al-Khalili
  47. Braiding Sweetgrass: Indigenous Wisdom, Scientific Knowledge and the Teachings of Plants Robin Wall Kimmerer

Vælg dit abonnement

  • Over 600.000 titler

  • Download og nyd titler offline

  • Eksklusive titler + Mofibo Originals

  • Børnevenligt miljø (Kids Mode)

  • Det er nemt at opsige når som helst

Flex

For dig som vil prøve Mofibo.

89 kr. /måned
  • 1 konto

  • 20 timer/måned

  • Gem op til 100 ubrugte timer

  • Eksklusivt indhold hver uge

  • Fri lytning til podcasts

  • Ingen binding

Prøv gratis
Den mest populære

Premium

For dig som lytter og læser ofte.

129 kr. /måned
  • 1 konto

  • 100 timer/måned

  • Eksklusivt indhold hver uge

  • Fri lytning til podcasts

  • Ingen binding

Start tilbuddet

Unlimited

For dig som lytter og læser ubegrænset.

149 kr. /måned
  • 1 konto

  • Ubegrænset adgang

  • Eksklusivt indhold hver uge

  • Fri lytning til podcasts

  • Ingen binding

Start tilbuddet

Family

For dig som ønsker at dele historier med familien.

Fra 179 kr. /måned
  • 2-6 konti

  • 100 timer/måned pr. konto

  • Fri lytning til podcasts

  • Kun 39 kr. pr. ekstra konto

  • Ingen binding

2 konti

179 kr. /måned
Prøv gratis