Contributions Founding Theory Transfinite by Cantor Georg (102 results)

Paperback. Condition: Very Good. Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority!

Condition: As New. Unread book in perfect condition.

Paperback or Softback. Condition: New. Contributions to the Founding of the Theory of Transfinite Numbers 0.72. Book.

Condition: New.

Condition: New. pp. 227.

Soft cover. Condition: Good. Trade paperback in good condition. Unabridged and unaltered reprint of the English translation first published in 1915 (but no publication date listed in this book).

Condition: New.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Condition: Very Good. Softcover. Good binding and cover. Shelf wear. Rubbing to edges. Stamped on front wrap. Owner's name on front end page, else unmarked. ix, 211 p. port., 21 cm. "One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc., as well as in the entire field of modern logic. It is rare that a theory of such fundamental mathematical importance is expressed so simply and clearly: the reader with a good grasp of college mathematics will be able to understand most of the basic ideas and many of the proofs.".

Paperback. Condition: Good. Good condition with only minor wear.

HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000.

Trade Paperback. Condition: Very Good. Dust Jacket Condition: No Dust Jacket. Reprint Edition. A Very Good or better copy in stiff paper covers. No date, but c.1960. (Not ex-library.). Book.

Condition: New. In.

Condition: Buone. inglese Condizioni dell'esterno: Discrete con difetti, strappi bruniture Condizioni dell'interno: Discrete con Difetti, bruniture sottolineature.

Condition: New.

Brossura. Condition: ottimo. In inglese. Brossura editoriale formato cm 13,50 X 21,00, pagg VII + 212. Ottimo esemplare, con foto dell'autore. Georg Ferdinand Ludwig Philipp Cantor è stato un matematico tedesco, padre della teoria degli insiemi. Cantor ha allargato la teoria degli insiemi fino a comprendere i concetti di numeri transfiniti, numeri cardinali e ordinali. Cantor riconobbe che gli insiemi infiniti possono avere differenti cardinalità, separò gli insiemi in numerabili e più che numerabili e provò che l'insieme di tutti i numeri razionali è numerabile, mentre l'insieme di tutti i numeri reali è più che numerabile, dimostrando in questo modo che esistono almeno due ordini di infinità. Egli inventò anche il simbolo che oggi viene usato per indicare i numeri reali. Fu il primo a capire che gli insiemi infiniti possono avere diverse grandezze: dunque esiste una gerarchia infinita di grandezze di insiemi infiniti, dalla quale sorgono i numeri cardinali e ordinali transfiniti, e la loro peculiare aritmetica. Per denotare i numeri cardinali usò la lettera dell'alfabeto ebraico aleph dotata di un numero naturale come indice (Alef zero); per gli ordinali utilizzò la lettera dell'alfabeto greco omega. L'innovativa teoria cantoriana, osteggiata durante la vita del suo creatore, è stata completamente accettata dai matematici moderni, che hanno riconosciuto nella teoria degli insiemi transfiniti uno slittamento di paradigma di prima grandezza. Qualsiasi infinito attuale è al di sopra di quello potenziale e si chiama anche transfinito. Al di sopra di tutti gli infiniti attuali, Cantor colloca l'Infinito assoluto, una realtà assolutamente astratta che non è un infinito matematico fatto di numeri e che non è accessibile né determinabile con l'analisi e il rigore logico-matematico. Cantor identificò l'unico Infinito assoluto con Dio, affermando che era descrivibile solo in termini di teologia negativa. Riteneva che i numeri usati in matematica avessero un'esistenza completamente separata, ciascuno interamente distinto e indipendente da qualsiasi considerazione di posizione in una catena di numeri da 0 a 1 e senza fine. Proprio come Dio aveva precedentemente confermato la necessaria realtà dei numeri transfiniti, Cantor fece un simile ricorso per garantire la correttezza della sua idea sull'origine indipendente dei numeri cardinali. Ancora una volta Cantor aveva invocato Dio per garantire l'assoluta verità dei principi fondamentali su cui si basava la sua teoria degli insiemi. Il prezzo del libro è comprensivo delle spese di confezionamento e spedizione mediante raccomandata tracciabile.

Dover Publications, New York No date. xi, 211 pp. Paperback. Fine condition.

Condition: VG. LaSalle 1941 Open Court. Reprinted from the 1915 edition. Owner signed on front flyleaf. Hardcover. Octavo, 211pp., index, cloth. VG in worn DJ.

orig.wrappers. Condition: Minior rubbing. VG. Reprint. 22x14cm, ix,211 pp., A facsimile reprint of the 1915 edition. PAPERBACK.

Hardcover. Condition: Near Fine. 8vo. 211 pp. green cloth. Near Fine. Slightest shelfwear to extremities of boards. Translation, introduction, and notes by Philip E. B. Jourdain. Small price sticker to front past down endpaper.

LeatherBound. Condition: New. Leatherbound edition. Condition: New. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. Pages: 236. A perfect gift for your loved ones. Reprinted from 1915 edition. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. IF YOU WISH TO ORDER PARTICULAR VOLUME OR ALL THE VOLUMES YOU CAN CONTACT US. Resized as per current standards. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Language: English Pages: 236.

Leatherbound. Condition: NEW. Leatherbound edition. Condition: New. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. Pages: 248. A perfect gift for your loved ones. Reprinted from 1915 edition. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. IF YOU WISH TO ORDER PARTICULAR VOLUME OR ALL THE VOLUMES YOU CAN CONTACT US. Resized as per current standards. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Language: English Pages: 248.

Soft cover. Condition: Good. No Jacket.

Paperback. Condition: Brand New. 222 pages. 8.75x5.75x0.50 inches. This item is printed on demand.

Paperback. Condition: Brand New. 222 pages. 8.75x5.75x0.50 inches. This item is printed on demand.

Paperback. Condition: Brand New. 222 pages. 10.00x7.50x0.50 inches. This item is printed on demand.

LeatherBound. Condition: New. LeatherBound edition. Condition: New. Reprinted from 1911 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. Pages: 237 As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 237 Language: English.