The Propositional Logic of Avicenna

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A Translation from al-Shifa: al-Qiyas with Introduction, Commentary and Glossary, A Translation from al-Shif??: al-Qiy?s with Introduction, Commentary and Glossary, Synthese Historical Library 7

ISBN:	9401026262
ISBN 13:	9789401026260
Autor:	Avicenna
Verlag:	Springer Verlag GmbH
Umfang:	xiii, 300 S.
Erscheinungsdatum:	09.12.2011
Auflage:	1/2011
Produktform:	Kartoniert
Einband:	Kartoniert

InhaltsangabeTranslation-Al-Qiy?s Book V.- One On Conditional Propositions and Their Types.- The kinds of syllogisms which lead to predicative conclusions and those leading to conditional conclusions.- A general definition of conditional propositions.- The two kinds of conditional propositions.- Complete and incomplete connection.- Complete and incomplete conflict.- Different views on conditional propositions.- The two kinds of following: (a) implication; (b) chance connection The restricted conditional.- The different senses of the particles used in connective propositions.- The antecedent and the consequent of the connective proposition are not statement-making sentences.- The restricted and the unrestricted connective proposition.- An implication is true when both its parts are false.- And when the antecedent is false and the consequent is true.- It is false when the antecedent is true and the consequent is false.- Two On Separative-Conditional Propositions.- The different ways of expressing conflict.- A separative proposition expresses (1) real conflict and the particle it takes is ‚It is exclusively‘.- (2) The case where both its parts may be false.- (3) The case where both its parts may be true.- Other usages of ‚either‘.- The antecedent and the consequent of the separative proposition are interchangeable, but not so in the connective.- An analysis of (1), (2) and (3) are compared with each other.- A comparison between (1) on the one hand and (2) and (3) on the other.- There is no separative proposition in which the meanings of the antecedent and the consequent are not related.- Other forms of conditional propositions.- Three Onthe Kinds of Combinations in Pure Conditional.- Propositions and in the Conditional Compounded of Predicative and Conditional Propositions The different forms the antecedent and the consequent of a conditional proposition take.- The separative can have more than two parts; but the connective has only two.- The subject and/or the predicate of the parts of a conditional can be identical.- The reduction of conditionals to predicative propositions.- ‚If‘ and ‚Either‘ etc. can be put after or before the subject of the antecedent; and in the first case the proposition would be indeterminable.- The view that the connective is an affirmative statement and the separative a negative one. His view on what affirmation and negation in conditional propositions are.- The truth conditions of the connective and the separative.- Four On Explaining the Meaning of the Universal, the Particular, the Indefinite and the Singular [Connective-] Conditional Proposition.- A certain view on how to determine the quantity of a connective proposition. His view on this issue.- When is a conditional considered universal or indefinite?.- When is the conditional regarded as singular?.- A criticism of the view that a universal connective is equal to a universal predicative.- The universal affirmative connective proposition.- Can a connective expressing chance connection be universally affirmed?.- Is ‚Always: when every donkey talks, then every man brays‘ true in either one of the senses of following?.- An objection and an answer related to the above issue.- A proposition expressing chance connection is true when the consequent is true.- The antecedent of a connective proposition is not a statement-making sentence.- A return to the discussion of universal affirmative connective propositions.- Would they be affected if impossible conditions are added to their antecedents? Particular Connective Propositions: The first kind of particular connective propositions.- The second kind of particular connective propositions.- Is it possible for the particular connective to have universal parts?.- Five On the Universal Negative in [Connective-] Conditional Propositions.- The universal negative connective proposition.- The two kinds of negation in connective propositions.- (1) The universal negation of chance connection (2) The universal negation of implicati

Artikelnummer: 5646864 Kategorie: Allgemeines, Lexika

Beschreibung

Beschreibung

The main purpose of this work is to provide an English translation of and commentary on a recently published Arabic text dealing with con ditional propositions and syllogisms. The text is that of A vicenna (Abu represents his views on the subject as they were held throughout his life.