This paper aims at clarifying the procedure of proofs by reductio ad impossibile in Aristotle’s Prior Analytics, especially elucidating what can be taken as impossibility in such proofs. Traditional interpretation has it that the impossibility in Aristotle’s reductio proofs must be a contradiction. I argue for an alternative interpretation according to which both contrarieties and contradictions are suitable as the impossibility required by the proofs in question. I also present a definition of proof by reductio ad impossibile in accordance with the alternative interpretation
There is a principle in things, about which we cannot be deceived, but must always, on the contrary,...
The paper is devoted to the solution of two well-known paradoxes of inductive logic: Hempel’s and Go...
In his recent book On Reduplication, Allan Bäck discusses many passages pertaining to the history of...
This paper aims at clarifying the procedure of proofs by reductio ad impossibile in Aristotle’s Prio...
Aristotle's philosophically most explicit and sophisticated account of the concept of a (primary-)un...
The uses and interpretation of reductio ad absurdum argumentation in mathematical proof and discover...
"In the second half of book 1 of the Prior Analytics, Aristotle reflects on the application of the f...
Abstract: The uses and interpretation of reductio ad absurdum argument-ation in mathematical proof a...
In The Metaphysics Book Theta, Chapter four, Aristotle claims that to state that “some X is possible...
On Jaakko Hintikka’s understanding of Aristotle’s modal thought, Aristotle is committed to a version...
In Prior Analytics 1.1–22, Aristotle develops his proof system of non-modal and modal propositions. ...
In proof by reductio ad absurdum, the impossibility of a mathematical object is drawn from the deduc...
Starting from Toulmin’s analysis of impossibility and through the study of some cases, I investigate...
In De Interpretatione 6-9, Aristotle considers three logical principles: the principle of bivalence,...
There is a principle in things, about which we cannot be deceived, but must always, on the contrary,...
The paper is devoted to the solution of two well-known paradoxes of inductive logic: Hempel’s and Go...
In his recent book On Reduplication, Allan Bäck discusses many passages pertaining to the history of...
This paper aims at clarifying the procedure of proofs by reductio ad impossibile in Aristotle’s Prio...
Aristotle's philosophically most explicit and sophisticated account of the concept of a (primary-)un...
The uses and interpretation of reductio ad absurdum argumentation in mathematical proof and discover...
"In the second half of book 1 of the Prior Analytics, Aristotle reflects on the application of the f...
Abstract: The uses and interpretation of reductio ad absurdum argument-ation in mathematical proof a...
In The Metaphysics Book Theta, Chapter four, Aristotle claims that to state that “some X is possible...
On Jaakko Hintikka’s understanding of Aristotle’s modal thought, Aristotle is committed to a version...
In Prior Analytics 1.1–22, Aristotle develops his proof system of non-modal and modal propositions. ...
In proof by reductio ad absurdum, the impossibility of a mathematical object is drawn from the deduc...
Starting from Toulmin’s analysis of impossibility and through the study of some cases, I investigate...
In De Interpretatione 6-9, Aristotle considers three logical principles: the principle of bivalence,...
There is a principle in things, about which we cannot be deceived, but must always, on the contrary,...
The paper is devoted to the solution of two well-known paradoxes of inductive logic: Hempel’s and Go...
In his recent book On Reduplication, Allan Bäck discusses many passages pertaining to the history of...