The Logic of Leibniz's Generales Inquisitiones de Analysi Notionum et Veritatum

نویسندگان

  • Marko Malink
  • Anubav Vasudevan
چکیده

The Generales Inquisitiones de Analysi Notionum et Veritatum is Leibniz’s most substantive work in the area of logic. Leibniz’s central aim in this treatise is to develop a symbolic calculus of terms that is capable of underwriting all valid modes of syllogistic and propositional reasoning. The present paper provides a systematic reconstruction of the calculus developed by Leibniz in the Generales Inquisitiones. We investigate the most significant logical features of this calculus and prove that it is both sound and complete with respect to a simple class of enriched Boolean algebras which we call auto-Boolean algebras. Moreover, we show that Leibniz’s calculus can reproduce all the laws of classical propositional logic, thus allowing Leibniz to achieve his goal of reducing propositional reasoning to algebraic reasoning about terms. c © Year Association for Symbolic Logic 1 doi:doi ZU064-05-FPR leibniz April 11, 2016 7:45 2 marko malink & anubav vasudevan Table of

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Fuzzy logic controlled differential evolution to solve economic load dispatch problems

In recent years, soft computing methods have generated a large research interest. The synthesis of the fuzzy logic and the evolutionary algorithms is one of these methods. A particular evolutionary algorithm (EA) is differential evolution (DE). As for any EA, DE algorithm also requires parameters tuning to achieve desirable performance. In this paper tuning the perturbation factor vector of DE ...

متن کامل

Fuzzy logic controlled differential evolution to solve economic load dispatch problems

In recent years, soft computing methods have generated a large research interest. The synthesis of the fuzzy logic and the evolutionary algorithms is one of these methods. A particular evolutionary algorithm (EA) is differential evolution (DE). As for any EA, DE algorithm also requires parameters tuning to achieve desirable performance. In this paper tuning the perturbation factor vector of DE ...

متن کامل

Buckling Analysis of Embedded Nanosize FG Beams Based on a Refined Hyperbolic Shear Deformation Theory

In this study, the mechanical buckling response of refined hyperbolic shear deformable (FG) functionally graded nanobeams embedded in an elastic foundation is investigated based on the refined hyperbolic shear deformation theory. Material properties of the FG nanobeam change continuously in the thickness direction based on the power-law model. To capture small size effects, Eringen’s nonlocal e...

متن کامل

Dosage by High Performance Liquid Chromatography (HPLC) coupled with the dissolution of a combination of anti-tuberculous: a pilot study conducted in Cotonou, Benin

Efficient tuberculosis treatment requires the use of good quality medicines. The present study developed a method of dosage by High Performance Liquid Chromatography (HPLC) coupled with the dissolution of a combination of fixed doses of four anti-tuberculous (Isoniazid, Pyrazinamide, Ethambutol Hydrochlorate, Rifampicine). The elaborated protocol was thereafter used to assess the quality of med...

متن کامل

Dosage by High Performance Liquid Chromatography (HPLC) coupled with the dissolution of a combination of anti-tuberculous: a pilot study conducted in Cotonou, Benin

Efficient tuberculosis treatment requires the use of good quality medicines. The present study developed a method of dosage by High Performance Liquid Chromatography (HPLC) coupled with the dissolution of a combination of fixed doses of four anti-tuberculous (Isoniazid, Pyrazinamide, Ethambutol Hydrochlorate, Rifampicine). The elaborated protocol was thereafter used to assess the quality of med...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Rew. Symb. Logic

دوره 9  شماره 

صفحات  -

تاریخ انتشار 2016