What Theory of What Mathematics?
from Part II - Method and Logic
Published online by Cambridge University Press: 24 April 2020
Hintikka reprises and enhances some of his original themes, and argues that Kant’s notion of construction in intuition is codified in the modern predicate logic inference patterns of universal and existential instantiation. Hintikka traces back the device of construction to the Euclidean ekthesis, drawing a figure according to a definition. He shows that a geometrical construction allows one to deduce more about the definition than is made possible by the concept of deduction prevalent in Kant’s time. Hintikka couches this analysis in the context of his discussion of the logic of the mathematical method as an epistemic logic of seeking and finding, and thus displays a comprehensive picture of his own mature view.
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.