Deduction, Computation, Experiment

What is a proof for? What is the characteristic use of a proof as a computation, as opposed to its use as an experiment? What is the relationship between mathematical procedures and natural processes? The essays collected in this volume address such questions from different points of view and will...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
مؤلفون آخرون: Lupacchini, Rossella
التنسيق: كتاب
اللغة:English
منشور في: Springer 2017
الموضوعات:
الوصول للمادة أونلاين:http://repository.vnu.edu.vn/handle/VNU_123/31054
الوسوم: إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
المؤسسة: Vietnam National University, Hanoi
اللغة: English
الوصف
الملخص:What is a proof for? What is the characteristic use of a proof as a computation, as opposed to its use as an experiment? What is the relationship between mathematical procedures and natural processes? The essays collected in this volume address such questions from different points of view and will interest students and scholars in several branches of scientific knowledge. Some essays deal with the logical skeleton of deduction, others examine the interplay between natural systems and models of computation, yet others use significant results from the natural sciences to illustrate the character of procedures in applied mathematics. Focusing on relevant conceptual and logical issues underlying the overall quest for proving, the volume seeks to cast light on what the effectiveness of proof rests on.