What is Negation?
Dov M. Gabbay Β· Heinrich Wansing
ΡΡΠ½ 2013. Β· Applied Logic Series 13. ΠΊΡΠΈΠ³Π° Β· Springer Science & Business Media
Π-ΠΊΡΠΈΠ³Π°
335
Π‘ΡΡΠ°Π½ΠΈΡΠ°
reportΠΡΠ΅Π½Π΅ ΠΈ ΡΠ΅ΡΠ΅Π½Π·ΠΈΡΠ΅ Π½ΠΈΡΡ Π²Π΅ΡΠΈΡΠΈΠΊΠΎΠ²Π°Π½Π΅ Β Π‘Π°Π·Π½Π°ΡΡΠ΅ Π²ΠΈΡΠ΅
Π ΠΎΠ²ΠΎΡ Π΅-ΠΊΡΠΈΠ·ΠΈ
The notion of negation is one of the central logical notions. It has been studied since antiquity and has been subjected to thorough investigations in the development of philosophical logic, linguistics, artificial intelligence and logic programming. The properties of negation-in combination with those of other logical operations and structural features of the deducibility relation-serve as gateways among logical systems. Therefore negation plays an important role in selecting logical systems for particular applications. At the moment negation is a 'hot topic', and there is an urgent need for a comprehensive account of this logical key concept. We therefore have asked leading scholars in various branches of logic to contribute to a volume on "What is Negation?". The result is the present neatly focused collection of re search papers bringing together different approaches toward a general characteri zation of kinds of negation and classifications thereof. The volume is structured into four interrelated thematic parts. Part I is centered around the themes of Models, Relevance and Impossibility. In Chapter 1 (Negation: Two Points of View), Arnon Avron develops two characteri zations of negation, one semantic the other proof-theoretic. Interestingly and maybe provokingly, under neither of these accounts intuitionistic negation emerges as a genuine negation. J. Michael Dunn in Chapter 2 (A Comparative Study of Various Model-theoretic Treatments of Negation: A History of Formal Negation) surveys a detailed correspondence-theoretic classifcation of various notions of negation in terms of properties of a binary relation interpreted as incompatibility.
ΠΡΠ΅Π½ΠΈΡΠ΅ ΠΎΠ²Ρ Π΅-ΠΊΡΠΈΠ³Ρ
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ΠΠ½ΡΠΎΡΠΌΠ°ΡΠΈΡΠ΅ ΠΎ ΡΠΈΡΠ°ΡΡ
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ΠΠ°ΠΏΡΠΎΠΏΠΎΠ²ΠΈ ΠΈ ΡΠ°ΡΡΠ½Π°ΡΠΈ
ΠΠΎΠΆΠ΅ΡΠ΅ Π΄Π° ΡΠ»ΡΡΠ°ΡΠ΅ Π°ΡΠ΄ΠΈΠΎ-ΠΊΡΠΈΠ³Π΅ ΠΊΡΠΏΡΠ΅Π½Π΅ Π½Π° Google Play-Ρ ΠΏΠΎΠΌΠΎΡΡ Π²Π΅Π±-ΠΏΡΠ΅Π³Π»Π΅Π΄Π°ΡΠ° Π½Π° ΡΠ°ΡΡΠ½Π°ΡΡ.
Π-ΡΠΈΡΠ°ΡΠΈ ΠΈ Π΄ΡΡΠ³ΠΈ ΡΡΠ΅ΡΠ°ΡΠΈ
ΠΠ° Π±ΠΈΡΡΠ΅ ΡΠΈΡΠ°Π»ΠΈ Π½Π° ΡΡΠ΅ΡΠ°ΡΠΈΠΌΠ° ΠΊΠΎΡΠ΅ ΠΊΠΎΡΠΈΡΡΠ΅ Π΅-ΠΌΠ°ΡΡΠΈΠ»ΠΎ, ΠΊΠ°ΠΎ ΡΡΠΎ ΡΡ Kobo Π΅-ΡΠΈΡΠ°ΡΠΈ, ΡΡΠ΅Π±Π° Π΄Π° ΠΏΡΠ΅ΡΠ·ΠΌΠ΅ΡΠ΅ ΡΠ°ΡΠ» ΠΈ ΠΏΡΠ΅Π½Π΅ΡΠ΅ΡΠ΅ Π³Π° Π½Π° ΡΡΠ΅ΡΠ°Ρ. ΠΡΠ°ΡΠΈΡΠ΅ Π΄Π΅ΡΠ°ΡΠ½Π° ΡΠΏΡΡΡΡΠ²Π° ΠΈΠ· ΡΠ΅Π½ΡΡΠ° Π·Π° ΠΏΠΎΠΌΠΎΡ Π΄Π° Π±ΠΈΡΡΠ΅ ΠΏΡΠ΅Π½Π΅Π»ΠΈ ΡΠ°ΡΠ»ΠΎΠ²Π΅ Ρ ΠΏΠΎΠ΄ΡΠΆΠ°Π½Π΅ Π΅-ΡΠΈΡΠ°ΡΠ΅.
