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 III - Where Are the Paradoxes?
Published online by Cambridge University Press: 08 October 2021
The target of this chapter is to give some rudiments of(paraconsistent) real analysis, a dissection of the linear continuumas that which has no gaps. Axioms for the reals as a totally orderedcomplete field are given and developed, with philosophicalconsiderations about the nature of points. Focus is on the topologyof the real line, establishing the general principle at stake: thatif a change occurs, it must occur somewhere. This is confirmed atthe intermediate value theorem. Along the way, the (continuous)sorites paradox is “recaptured,” the existence ofinfinitesimal quantities is floated, and a theorem is proved about“splitting” geometric points.
To save this book to your Kindle, first ensure no-reply@cambridge.org 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.
