From Mathematics to Philosophy (Routledge Revivals)
Home > Religion, Philosophy & Sprituality > Philosophy > From Mathematics to Philosophy (Routledge Revivals)
From Mathematics to Philosophy (Routledge Revivals)

From Mathematics to Philosophy (Routledge Revivals)


     0     
5
4
3
2
1



Out of Stock


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

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.

Table of Contents:
Preface; A note on the text; Introduction; 1 Substantial factualism as a method and an antidote 2 Against positivism 3 Against linguistic philosophy 4 Explanatory remarks on substantial factualism 5 Logic, mathematics, and the scope of this book; I Mathematical Logic and philosophy of mathematics; 1 Topics in the philosophy of mathematics 2 The axiomatic method and abstract structures 3 Questions of consistency 4 The deceptive appeal of mathematical logic to philosophers Notes; II Characterization of general mathematical concepts; 1 Natural numbers 2 The continuum 3 Mechanical procedures; III Russell’s logic and some general issues; Principles (1903) 2 Preludes to Principia (1903-10) 3 Principia 4 Wittgenstein and Ramsay 4 Logical truth and other philosophical matters 6 Predictive definitions and the vicious-circle principle Notes; IV Logical truth; 1 Presuppositions of Aristotle’s logic 2 Logical constraints and logical truths; V Metalogic; 1 Formal languages and formal systems 2 Origins and influences of metalogic 3 Exact results on formal mathematical systems 4 Exact results of logical calculi; VI The concept of the set; 1 The (maximum) iterative concept 2 Bankruptcy (contradiction) or misunderstanding (error)? 3 Objectivism and formalism set in theory 4 New axioms and criteria of acceptability 5 Comparisons with geometry and physics 6 Digression on unbounded quantifications 7 Extracting axioms of set theory from Cantor’s writings 8 The hierarchies of Cantor and Mirimanoff Notes; VII Theory and practice in mathematics; 1. Activity and feasibility 2 Reducing mathematics to logic 3 What is mathematics? 4 Practical aspects of mathematics Notes; VIII Necessity, analyticity, and apriority; 1 Homes and assimilations of the three concepts 2 Suggestions from Kant’s philosophy 3 From Frege to analytic philosophy 4 Notes on contemporary discussions Notes; IX Mathematics and computers; 1 New uses of computers 2 Influence of mathematics on the development of computers 3 Logical mathematics 4 Mathematical reasoning as mechanical 5 Finite computations and infinite mathematics 6 Logic and computers; X Minds and machines; 1 Aspects of mechanism 2 Computers and brains 3 Artificial or mechanical intelligence 4 Computer simulation of human thought 5 Protocols and theoretical psychology 6 Mathematical arguments 7 Gödel on minds and machines Notes; XI Notes on knowledge and life; 1 Intrinsic goals and large problems 2 Relevance and forms of life 3 Specialization and the unity of knowledge 4 Bertrand Russell as an example 5 Life and the pursuit of philosophy Notes; XII Themes and approaches; 1 Scientific studies of matter, mind, and machines 2 Science and philosophy 3 Remarks on contemporary philosophy 4 Respect for gross facts 5 Looking beyond; Appendix Exercises in Criticism; 1 Notes on the justification of induction 2 On scepticism about induction 3 The existence of material objects 4 A question of knowledge of knowledge 5 What is an individual?; Notes; Index

About the Author :
Hao Wang


Best Sellers


Product Details
  • ISBN-13: 9781134884476
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: Routledge
  • Language: English
  • ISBN-10: 1134884478
  • Publisher Date: 10 Jun 2016
  • Binding: Digital (delivered electronically)


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
From Mathematics to Philosophy (Routledge Revivals)
Taylor & Francis Ltd -
From Mathematics to Philosophy (Routledge Revivals)
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.

From Mathematics to Philosophy (Routledge Revivals)

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!