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This book is an example of fruitful interaction between (non-classical) propo- sitionallogics and (classical) model theory which was made possible due to categorical logic. Its main aim consists in investigating the existence of model- completions for equational theories arising from propositional logics (such as the theory of Heyting algebras and various kinds of theories related to proposi- tional modal logic ). The existence of model-completions turns out to be related to proof-theoretic facts concerning interpretability of second order propositional logic into ordinary propositional logic through the so-called 'Pitts' quantifiers' or 'bisimulation quantifiers'. On the other hand, the book develops a large number of topics concerning the categorical structure of finitely presented al- gebras, with related applications to propositional logics, both standard (like Beth's theorems) and new (like effectiveness of internal equivalence relations, projectivity and definability of dual connectives such as difference). A special emphasis is put on sheaf representation, showing that much of the nice categor- ical structure of finitely presented algebras is in fact only a restriction of natural structure in sheaves. Applications to the theory of classifying toposes are also covered, yielding new examples. The book has to be considered mainly as a research book, reporting recent and often completely new results in the field; we believe it can also be fruitfully used as a complementary book for graduate courses in categorical and algebraic logic, universal algebra, model theory, and non-classical logics. 1.
REVIEW EXCERPTS FROM JOHN GREEN, AMAZON TOP 1000 REVIEWER, VINE VOICE:"...this was funny! And I don't just mean "heh, got in a good one" funny, more like "lol- they nailed it" funny...this is a YA parody there's no actual shagging going on, but...it's pretty comical! ...some very witty satire here...it'll put a smile on your face."DESCRIPTION: Phatness Evermean finds herself volunteering for the Games on Infinite Justice Day (slogan: Sticking It To The Revolting Districts For Infinity) -- only to be partnered with clever, Kneader Malarky. (You could almost believe he's a decent human being, if there was such a thing in PanAm.) Phatness trusts no one except perhaps, her hunting partner, Windy, and her Games stylist, Sinner. (Where would a girl be if she didn't have a stylist she could trust?)Kneader turns out to be a boy to die for -- but the one person who really needs to understand this, hasn't got a clue. But, that Malarky boy is a clever one. He just may win Phatness's companionship...one way or another. (Watch out Phatness, you may be outmatched!) Phatness exudes a beauty heretofore unknown to the Capitol District, adding an entirely new dimension to the H. Unger Games (named for the persnickety inventor of the Games, Helix Unger). There's no need for real arrows when cupid's are so much more accurate and just as deadly.(While the content is sometimes suggestive, there is no sex in this parody, not that parents who would let their kids read such violent books as "The Hunger Games" would care.)"The best Hunger Games parody out there...though that's not saying much," Effin Ijiot.,
Describes how to protect yourself from being intimidated or conned into sex by knowing how to...- Stay safe in chat rooms. - Set healthy friendship and dating boundaries. - Distinguish "sweet talk" from language lies. - Recognize when you are being "played." - Avoid situations that encourage unhealthy sexual boundaries. - Be smart and successful in every relationship.
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