عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
شابک
شابک
9789048144808
شابک
9789401584531
شماره کتابشناسی ملی
شماره
b399902
عنوان و نام پديدآور
عنوان اصلي
Inconsistent Mathematics
نام عام مواد
[Book]
نام نخستين پديدآور
by Chris Mortensen.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Dordrecht :
نام ناشر، پخش کننده و غيره
Imprint: Springer,
تاریخ نشرو بخش و غیره
1995.
فروست
عنوان فروست
Mathematics and Its Applications ;
مشخصه جلد
312
یادداشتهای مربوط به مندرجات
متن يادداشت
One Motivations -- Two Arithmetic -- Three Modulo Infinity -- Four Order -- Five Calculus -- Six Inconsistent Continuous Functions -- Seven The Delta Function -- Eight Inconsistent Systems of Linear Equations -- Nine Projective Spaces -- Ten Topology -- Eleven Category Theory -- Twelve Closed Set Sheaves and Their Categories -- Thirteen Duality -- Fourteen Foundations: Provability, Truth and Sets -- Index of Definitions and Names.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
without a properly developed inconsistent calculus based on infinitesimals, then in consistent claims from the history of the calculus might well simply be symptoms of confusion. This is addressed in Chapter 5. It is further argued that mathematics has a certain primacy over logic, in that paraconsistent or relevant logics have to be based on inconsistent mathematics. If the latter turns out to be reasonably rich then paraconsistentism is vindicated; while if inconsistent mathematics has seri ous restriytions then the case for being interested in inconsistency-tolerant logics is weakened. (On such restrictions, see this chapter, section 3. ) It must be conceded that fault-tolerant computer programming (e. g. Chapter 8) finds a substantial and important use for paraconsistent logics, albeit with an epistemological motivation (see this chapter, section 3). But even here it should be noted that if inconsistent mathematics turned out to be functionally impoverished then so would inconsistent databases. 2. Summary In Chapter 2, Meyer's results on relevant arithmetic are set out, and his view that they have a bearing on G8del's incompleteness theorems is discussed. Model theory for nonclassical logics is also set out so as to be able to show that the inconsistency of inconsistent theories can be controlled or limited, but in this book model theory is kept in the background as much as possible. This is then used to study the functional properties of various equational number theories.
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9789048144808
قطعه
عنوان
Springer eBooks
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Algebra-- Data processing.
موضوع مستند نشده
Logic, Symbolic and mathematical.
موضوع مستند نشده
Logic.
موضوع مستند نشده
Mathematics.
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )
مستند نام اشخاص تاييد نشده
Mortensen, Chris.
نام تنالگان _ (مسئولیت معنوی برابر)
مستند نام تنالگان تاييد نشده
SpringerLink (Online service)
مبدا اصلی
تاريخ عمليات
20190301083600.0
دسترسی و محل الکترونیکی
نام الکترونيکي
مطالعه متن کتاب اطلاعات رکورد کتابشناسی
نوع ماده
[Book]
اطلاعات دسترسی رکورد
تكميل شده
Y
