2 edition of **Paradoxes of the infinite.** found in the catalog.

Paradoxes of the infinite.

Bernard Bolzano

- 55 Want to read
- 6 Currently reading

Published
**1950**
by Yale University Press in New Haven
.

Written in English

- Infinite.,
- Mathematics -- Philosophy.

**Edition Notes**

Bibliography: p. 176-181.

Statement | Translated from the German of the posthumous ed. by Fr. Přihonský and furnished with a historical introd. by Donald A. Steele. |

Series | Rare masterpieces of philosophy and science |

The Physical Object | |
---|---|

Pagination | ix, 189 p. |

Number of Pages | 189 |

ID Numbers | |

Open Library | OL16573915M |

The Greek philosopher Zeno wrote a book of paradoxes nearly 2, years ago. “Achilles and the Tortoise” is the easiest to understand, but it’s devilishly difficult to explain away. Finite sets vs. infinite sets (ellipse symbol ‘ ’) Self-referential paradoxes revisited Barber’s paradox Reference book paradox Grelling-Nelson paradox (Is “heterological” heterological?) Russell’s paradox. Discussion. What is common behind all the self-referential paradoxes (they all describe situations whereFile Size: KB.

But infinity is also the place where things happen that don't. All manner of strange paradoxes and fantasies characterize an infinite universe. If our Universe is infinite then an infinite number of exact copies of you are, at this very moment, reading an identical sentence on an identical planet somewhere else in the : Knopf Doubleday Publishing Group. His most recent book, Abstraction and Infinity (Oxford Unversity Press, ), concerns the use of abstraction principles in the philosophy of mathematics. He previous books include Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century (Oxford University Press, ), From Brouwer to Hilbert.

Oppositions and Paradoxes is a pleasure to read.” — Graham Priest, CUNY Graduate Center “John L. Bell is the true philosophical heir of Bertrand Russell, and his new book, Oppositions and Paradoxes, exemplifies all the best traits in Russell’s legacy. His presentation of philosophical paradoxes and perplexities in logic, mathematics. The remaining paradoxes discuss situations which appear to be clearly `non-physical’ but which none the less manage to produce surprising outcomes. In the Ross-Littlewood paradox, we imagine a man (let’s call him Bob) who possesses an infinite collection of labelled balls: for each natural number, he possesses exactly one ball with the label.

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The Paradoxes of the Infinite (German title: Paradoxien des Unendlichen) is a mathematical work by Bernard Bolzano on the theory of was published by a friend and student, František Přihonský, inthree years after Bolzano's death.

The work contained many interesting results in set o expanded on the theme of Galileo's paradox, giving more examples of. Paradoxes of Infinity. Infinity is not a simple concept. Unless a care is exercised, especially when dealing with infinity as if it was a common number, paradoxes arise readily.

For example, the sum of a finite set of numbers is well defined and does not depend on the order in which the numbers are added up.

Paradoxes of the Infinite book. Read 2 reviews from the world's largest community for readers. Paradoxes of the Infinite presents one of the most insight /5. The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude.

Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters.4/5(7). Paradoxes from A to Z, Third edition is the essential guide to paradoxes, and takes the reader on a lively tour of puzzles that have taxed thinkers from Zeno to Galileo, and Lewis Carroll to Bertrand Russell.

Michael Clark uncovers an array of conundrums, such as Achilles and the Tortoise, Theseus’ Ship, and the Prisoner’s Dilemma, taking in subjects as diverse as knowledge, science, art Cited by: Book Description. Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19 th century: Dr Bernard Bolzano’s volume contains an adept translation of the work itself by Paradoxes of the infinite.

book A. Steele S.J., and in addition an historical introduction to the masterpiece, which includes a brief biography as well as an. Paradoxes of the Infinite by Bernard Bolzano,available at Book Depository with free delivery worldwide.

Paradoxes of the Infinite: Bernard Bolzano: We use cookies to give you the best possible experience/5(5). From inside the book Other editions - View all. Paradoxes of the Infinite (Routledge Revivals) Bernard Bolzano Limited preview - Paradoxes of the Infinite (Routledge Revivals) Decrees KBGW Leibniz Leipzig length logarithmic spiral logic magnitude mathe mathematical mathematicians matter natural numbers pair paradoxes Paradoxien.

Additional Physical Format: Online version: Bolzano, Bernard, Paradoxes of the infinite. London, Routledge and Paul [] (OCoLC) The book covers various theorems, logical analyses, paradoxes, thought experiments related to infinity and tries to connect with human life, space and various other facets.

For a student researching or writing a paper on infinity this book could be a one stop shop, but for a casual reader or someone looking for an interesting book on /5. Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19 th century: Dr Bernard Bolzano’s volume contains an adept translation of the work itself by Donald A.

Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the Cited by: 1. Paradoxes of the Infinite presents one of the most insightful, however unusually unacknowledged, mathematical treatises of the nineteenth century: Dr Bernard because your eyes are used to the span of the printed book and it would be comfortable that you read in exactly the same way.

Try various shapes or sizes until you find one with which. Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien.

This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the.

26, views. Like this video. Sign in to make your opinion count. Don't like this video. Sign in to make your opinion count. YouTube Premium. Get YouTube. Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s volume contains an adept translation of the work itself by Donald A.

Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the Brand: Taylor And Francis. Over 40 paradoxes are attributed to him, which appeared in a book he wrote. However, Zeno’s ideas have inspired mathematicians and philosophers to understand the nature of infinity : Waldo Otis.

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

The Infinite Book is a thoroughly entertaining and completely accessible account of the biggest subject of them all–infinity. About The Infinite Book. For a thousand years, infinity has proven to be a difficult and illuminating challenge for mathematicians and theologians.

All manner of strange paradoxes and fantasies characterize an. Classical paradoxes of the infinite - Zeno’s paradoxes, the wheel of Aristotle, and convergence problems - immerse you in the infinite’s perils. You rebuild a foothold by characterizing infinitely repeated decimals and building an understanding of the convergence of geometric series.

All manner of strange paradoxes and fantasies characterize an infinite universe. If our Universe is infinite then an infinite number of exact copies of you are, at this very moment, reading an identical sentence on an identical planet somewhere else in the Universe.5/5(2). Paradoxes have been around since the time of Ancient Greeks & the credit of popularizing them goes to recent logicians.

Using logic you can usually find a fatal flaw in the paradox which shows why the seeminglly impossible is either possible or the entire paradox is built on flawed thinking. Can you all work out the problems in each of the 11 paradoxes shown here?Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions.

The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude.With infinite sets one part of the set can be just as large as the whole.

Often it looks as a paradox. Infinity and paradoxes. Mathematical paradox. Science paradox. Mathematics, mathematical articles and tutorial.

We do mathematical research, math modeling and math programming. Math tutorial, articles, examples.