We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
from Part II - How to Face the Paradoxes?
Published online by Cambridge University Press: 08 October 2021
This chapter looks at the constraints on a logic for inconsistentmathematics. Curry’s paradox is presented in several forms,leading to problems for conditionals and validity. Grisin’sparadox and the Hinnion–Libert paradox lead to problems foridentity (equality) and the axiom of set extensionality. Inresponse, a broadly substructural response is recommended, where allforms of “contraction” are dropped, and a“relevant” logic is adopted to preserveextensionality. This leads to presentation of the official logicused in the second half of the book, and its main properties areoutlined, including some further methodological considerations forworking without contraction.
To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
Find out more about the Kindle Personal Document Service.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.
