Topological aspects of the classical logic
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
Classical first-order logic is the most common logic in mathematics applications as well as in the study of logical foundations. From a long time ago, the only link between logic and mathematical topology was limited to the concept of type spaces, and there were no other links between these two domains. Recently, the basic links between these two branches (i.e. logic and topology) have been created, which have led to many applications in both areas of logic as well as in topology. In this article, we will study some of the most important links between these two branches of mathematics as well as their applications. One of the key concepts in mathematical logic and model theory is the concept of stability, which has a completely combinational statement. In this paper, we show that this concept is equivalent to a topological concept for a certain set of functions, and using this we prove a fundamental theorem of Shelah stability theory. We also describe the relationship between the concept of dependence and a topological property of a set of functions, and provide topological proofs of some of the important achievements of model theory. Some of the results of this paper are new.
Keywords:
Language:
Persian
Published:
Logical Studies, Volume:10 Issue: 1, 2019
Pages:
121 to 135
magiran.com/p2078929
دانلود و مطالعه متن این مقاله با یکی از روشهای زیر امکان پذیر است:
اشتراک شخصی
با عضویت و پرداخت آنلاین حق اشتراک یکساله به مبلغ 1,390,000ريال میتوانید 70 عنوان مطلب دانلود کنید!
اشتراک سازمانی
به کتابخانه دانشگاه یا محل کار خود پیشنهاد کنید تا اشتراک سازمانی این پایگاه را برای دسترسی نامحدود همه کاربران به متن مطالب تهیه نمایند!
توجه!
- حق عضویت دریافتی صرف حمایت از نشریات عضو و نگهداری، تکمیل و توسعه مگیران میشود.
- پرداخت حق اشتراک و دانلود مقالات اجازه بازنشر آن در سایر رسانههای چاپی و دیجیتال را به کاربر نمیدهد.
In order to view content subscription is required
Personal subscription
Subscribe magiran.com for 70 € euros via PayPal and download 70 articles during a year.
Organization subscription
Please contact us to subscribe your university or library for unlimited access!