Finsler Set Theory: Platonism and Circularity
Home > Mathematics and Science Textbooks > Mathematics > Mathematical foundations > Set theory > Finsler Set Theory: Platonism and Circularity: Translation of Paul Finsler's Papers on Set Theory with Introductory Comments
8%
Finsler Set Theory: Platonism and Circularity: Translation of Paul Finsler's Papers on Set Theory with Introductory Comments

Finsler Set Theory: Platonism and Circularity: Translation of Paul Finsler's Papers on Set Theory with Introductory Comments


     0     
5
4
3
2
1



Out of Stock


Notify me when this book is in stock
X
About the Book

Finsler's papers on set theory are presented, here for the first time in English translation, in three parts, and each is preceded by an introduction to the field written by the editors. In the philosophical part of his work Finsler develops his approach to the paradoxes, his attitude toward formalized theories and his defense of Platonism in mathematics. He insisted on the existence of a conceptual realm within mathematics that transcends formal systems. From the foundational point of view, Finsler's set theory contains a strengthened criterion for set identity and a coinductive specification of the universe of sets. The notion of the class of circle free sets introduced by Finsler is potentially a very fertile one although not very widespread today. Combinatorially, Finsler considers sets as generalized numbers to which one may apply arithmetical techniques. The introduction to this third section of the book extends Finsler's theory to non-well-founded sets. The present volume makes Finsler's papers on set theory accessible at long last to a wider group of mathematicians, philosophers and historians of science. A technical background is not necessary to appreciate the satisfying interplay of philosophical and mathematical ideas that characterizes this work.

Table of Contents:
I. Philosophical Part.- (Renatus Ziegler).- Intrinsic Analysis of Antinomies and Self-Reference (Renatus Ziegler).- - Are there Contradictions in Mathematics? [1925].- - Formal Proofs and Decidability [1926a].- - On the Solution of Paradoxes [1927b].- - Are there Undecidable Propositions? [1944].- - The Platonistic Standpoint in Mathematics [1956a].- - Platonism After All [1956b].- II. Foundational Part.- (David Booth).- - On the Foundations of Set Theory, Part I [1926b].- - The Existence of the Natural Numbers and the Continuum [1933].- - Concerning a Discussion on the Foundations of Mathematics [1941b].- - The Infinity of the Number Line [1954].- - On the Foundations of Set Theory, Part II [1964].- III. Combinatorial Part.- (David Booth).- The Combinatorics of Non-Well-Founded Sets (David Booth).- - Totally Finite Sets [1963].- - On the Goldbach Conjecture [1965].- Chronology of Paul Finsler's Life.


Best Sellers


Product Details
  • ISBN-13: 9783764354008
  • Publisher: Birkhauser Verlag AG
  • Publisher Imprint: Birkhauser Verlag AG
  • Height: 240 mm
  • Returnable: N
  • Weight: 670 gr
  • ISBN-10: 3764354003
  • Publisher Date: 01 May 1996
  • Binding: Hardback
  • Language: German
  • Sub Title: Translation of Paul Finsler's Papers on Set Theory with Introductory Comments


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Finsler Set Theory: Platonism and Circularity: Translation of Paul Finsler's Papers on Set Theory with Introductory Comments
Birkhauser Verlag AG -
Finsler Set Theory: Platonism and Circularity: Translation of Paul Finsler's Papers on Set Theory with Introductory Comments
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Finsler Set Theory: Platonism and Circularity: Translation of Paul Finsler's Papers on Set Theory with Introductory Comments

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!