Routledge Studies in the Philosophy of Mathematics and Physics - Bertrand’s Paradox and the Principle of Indifference Ebook Tooltip Ebooks kunnen worden gelezen op uw computer en op daarvoor geschikte e-readers.
Afbeeldingen
Sla de afbeeldingen overArtikel vergelijken
- Engels
- E-book
- 9781003813361
- 29 februari 2024
- Adobe ePub
Samenvatting
Events between which we have no epistemic reason to discriminate have equal epistemic probabilities. Bertrand’s chord paradox, however, appears to show this to be false, and thereby poses a general threat to probabilities for continuum sized state spaces. Articulating the nature of such spaces involves some deep mathematics and that is perhaps why the recent literature on Bertrand’s Paradox has been almost entirely from mathematicians and physicists, who have often deployed elegant mathematics of considerable sophistication. At the same time, the philosophy of probability has been left out. In particular, left out entirely are the philosophical ground of the principle of indifference, the nature of the principle itself, the stringent constraint this places on the mathematical representation of the principle needed for its application to continuum sized event spaces, and what these entail for rigour in developing the paradox itself. This book puts the philosophy and its entailments back in and in so doing casts a new light on the paradox, giving original analyses of the paradox, its possible solutions, the source of the paradox, the philosophical errors we make in attempting to solve it and what the paradox proves for the philosophy of probability. The book finishes with the author’s proposed solution—a solution in the spirit of Bertrand’s, indeed—in which an epistemic principle more general than the principle of indifference offers a principled restriction of the domain of the principle of indifference.
Bertrand's Paradox and the Principle of Indifference will appeal to scholars and advanced students working in the philosophy of mathematics, epistemology, philosophy of science, probability theory and mathematical physics.
Productspecificaties
Inhoud
- Taal
- en
- Bindwijze
- E-book
- Oorspronkelijke releasedatum
- 29 februari 2024
- Ebook Formaat
- Adobe ePub
Betrokkenen
- Hoofdauteur
- Nicholas Shackel
- Hoofduitgeverij
- Routledge
Lees mogelijkheden
- Lees dit ebook op
- Desktop (Mac en Windows) | Kobo e-reader | Android (smartphone en tablet) | iOS (smartphone en tablet) | Windows (smartphone en tablet)
Overige kenmerken
- Editie
- 1
- Studieboek
- Nee
EAN
- EAN
- 9781003813361
Kies gewenste uitvoering
Prijsinformatie en bestellen
De prijs van dit product is 41 euro en 99 cent.- E-book is direct beschikbaar na aankoop
- E-books lezen is voordelig
- Dag en nacht klantenservice
- Veilig betalen
Anderen bekeken ook
Rapporteer dit artikel
Je wilt melding doen van illegale inhoud over dit artikel:
- Ik wil melding doen als klant
- Ik wil melding doen als autoriteit of trusted flagger
- Ik wil melding doen als partner
- Ik wil melding doen als merkhouder
Geen klant, autoriteit, trusted flagger, merkhouder of partner? Gebruik dan onderstaande link om melding te doen.