Privative Negation in the Port Royal Logic

نویسنده

  • John N. Martin
چکیده

In this paper I argue that negation in The Port Royal Logic is not a failed or incoherent 4 approximation of Boolean complementation as maintained by Sylvain Auroux and Marc Dominicy, 5 but is rather a version of privative negation from medieval logic, and that as such it has a perfectly 6 coherent semantics. The discussion reviews the critiques of Auroux and Dominicy as well as the 7 semantics of privative negation as found in Aristotle, Proclus, Ockham, Buridan, Descartes, and 8 Arnauld. 9 §

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

All Brutes are Subhuman: Aristotle and Ockham on Private Negation

The mediaeval logic of Aristotelian privation, represented by Ockham’sexposition of All A is non-P as All S is of a type T that is naturally P and no S isP, is critically evaluated as an account of privative negation. It is argued thatthere are two senses of privative negation: (1) an intensifier (as in subhuman),the inverse of Neoplatonic hypernegation (superhuman), which is st...

متن کامل

Equality propositional logic and its extensions

We introduce a new formal logic, called equality propositional logic. It has two basic connectives, $boldsymbol{wedge}$ (conjunction) and $equiv$ (equivalence). Moreover, the $Rightarrow$ (implication) connective can be derived as $ARightarrow B:=(Aboldsymbol{wedge}B)equiv A$. We formulate the equality propositional logic and demonstrate that the resulting logic has reasonable properties such a...

متن کامل

Truth Values and Connectives in Some Non-Classical Logics

The question as to whether the propositional logic of Heyting, which was a formalization of Brouwer's intuitionistic logic, is finitely many valued or not, was open for a while (the question was asked by Hahn). Kurt Gödel (1932) introduced an infinite decreasing chain of intermediate logics, which are known nowadays as Gödel logics, for showing that the intuitionistic logic is not finitely (man...

متن کامل

A Study the Rupture in Royal Portraiture of Qajar era based on Michel Foucault’s Theory of Power

Royal Portraiture is one of the last Iranian miniature styles which more or less can be considered a Synthesis Style of Iranian and European elements. This style was inspired by Westernization, but underwent important changes during the Qajar era. In this research, one tries to analyze and interpret one of its ruptures that occurred in the era of Mohammad Shah. The main issue of the present pro...

متن کامل

The structure of ideas in The Port Royal Logic

Article history: Received 22 September 2015 Accepted 2 September 2016 Available online 23 September 2016

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