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Demystifying the European Union : The Enduring Logic of Regional Integration
Written by one of the premier scholars on the European Union and hailed as the best undergraduate text on the subject, this book has been thoroughly revised and updated to include the entry into force of the Lisbon Treaty.Clear and comprehensive, it "demystifies" one of the world's most important and least understood institutions.Roy H. Ginsberg contextualizes European integration through the foundation blocks of history, law, economics, and politics.He then breaks the EU down into its components so that they can be understood individually and in relation to the whole.Reconstructing the EU as a single polity, Ginsberg evaluates the EU's domestic and foreign policies and their effects on Europeans and non-Europeans alike.The author thus challenges students to see what the European Union truly represents: a unique experiment in regional cooperation and a remarkable model of conflict resolution for the world's troubled regions.
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Logic
If a man supports Arsenal one day and Spurs the next then he is fickle but not necessarily illogical.From this starting point, and assuming no previous knowledge of logic, Wilfrid Hodges takes the reader through the whole gamut of logical expressions in a simple and lively way.Readers who are more mathematically adventurous will find optional sections introducing rather more challenging material. 'A lively and stimulating book' Philosophy
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Earth Logic : An Elemental Logic novel
The second book in the Elemental Logic series, Earth Logic continues the story from the perspective of Karis, a complex character born of magic and now ruler for the country of Shaftal. Karis is a woman who can heal the war-torn land and expel the invaders, but she lives in obscurity with her fractious found family.With war and disease spreading, Karis must act quickly. And when Karis acts, the very stones of the earth sit up and take notice. “Another stunner of a book. The powerful but subtle writing glows with intelligence.” —Booklist
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Fuzzy Logic
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What is the logic behind this logic puzzle?
The logic behind this logic puzzle is to use deductive reasoning to determine the correct order of the people based on the given clues. By carefully analyzing the relationships and constraints provided in the puzzle, one can eliminate possibilities that do not fit the criteria until the correct solution is found. The challenge lies in making logical connections between the clues and using them to piece together the correct sequence of events or order of items.
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What is the connection between logic and mathematics?
Logic and mathematics are closely connected because logic provides the foundation for the rigorous reasoning and proof techniques used in mathematics. Mathematics relies on logical principles to establish the validity of its theorems and arguments. In turn, mathematics also contributes to the development of logical systems, as it often serves as a testing ground for new logical concepts and principles. The two disciplines are intertwined in their pursuit of precision, clarity, and sound reasoning.
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What is the relationship between logic and mathematics?
Logic and mathematics are closely related, as logic provides the foundation for the rigorous reasoning and proof techniques used in mathematics. Mathematics relies on logical principles to establish the validity of its theorems and arguments. In turn, mathematics has also contributed to the development of logical systems, such as symbolic logic and set theory, which have been used to formalize and analyze logical reasoning. Overall, logic and mathematics are interconnected disciplines that mutually reinforce and support each other.
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'Feeling or logic?'
Both feeling and logic play important roles in decision-making. While logic helps us analyze information, weigh options, and make rational choices, feelings can provide valuable insights into our values, desires, and emotional responses. Striking a balance between the two can lead to well-rounded decisions that are both informed and emotionally satisfying. Ultimately, the best decisions often come from a combination of both feeling and logic.
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Pretzel Logic
Led by Walter Becker and Donald Fagen, Steely Dan released seven albums from 1972-1980. 'Pretzel Logic' was the band's first Top 10 album, featuring the massive hit 'Rikki Don't Lose That Number'.
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Cowgirl Logic
Crystal began riding bulls and broncs in the Women’s Professional Rodeo Association as a result of walking with God and finding out He wanted to be involved with people in LIFE, not simply church services. This is a collection of short stories containing wisdom to live by, with a sprinkling of stupidity mixed in just for entertainment’s sake.
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Mathematical Logic
Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic.At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed with clean formal mathematics.Alongside the practical examples, readers learn what can and can't be calculated; for example the correctness of a derivation proving a given sequent can be tested mechanically, but there is no general mechanical test for the existence of a derivation proving the given sequent.The undecidability results are proved rigorously in an optional final chapter, assuming Matiyasevich's theorem characterising the computably enumerable relations.Rigorous proofs of the adequacy and completeness proofs of the relevant logics are provided, with careful attention to the languages involved.Optional sections discuss the classification of mathematical structures by first-order theories; the required theory of cardinality is developed from scratch.Throughout the book there are notes on historical aspects of the material, and connections with linguistics and computer science, and the discussion of syntax and semantics is influenced by modern linguistic approaches.Two basic themes in recent cognitive science studies of actual human reasoning are also introduced.Including extensive exercises and selected solutions, this text is ideal for students in Logic, Mathematics, Philosophy, and Computer Science.
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Symbolic Logic
This book provides a comprehensive introduction to the essential elements of standard (classical) symbolic logic.Key topics covered include: · The characteristic nature and scope of logic as a discipline· The construction of a series of distinctly named formal languages suitable for formal translation· Semantic models· The construction of decision procedures· The execution of proof-theoretic arrangements like natural deduction and proof-sequent systemsThe book covers both the semantics and proof theory of the standard sentential (propositional) logic and predicate (first-order) logic.Other topics covered include: parsing trees,extraction of alternative notations (for instance, Polish notation), Fitch-style proof-theory, sequent and ‘tree’ proof systems, comparisons and contrasts with intuitionistic logic, and presentations of predicate logic models.An ancillary chapter on elements of set theory is conveniently placed at the end and includes insights into the Zermelo-Fraenkel systematization of set theory.The philosophy of logic is also explored. Exercises in the text provide instruction on mathematical induction for the construction of formula, tests for the well-formedness of Polish notation, and functional completeness. Symbolic Logic is essential reading for all philosophy students taking intermediate level formal logic courses and will also appeal to diligent first year students of logic.The text is replete with exercises on both the formal machinery and the philosophical aspects of logic.
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Is logic subjective?
Logic is generally considered to be objective rather than subjective. It is a system of reasoning that follows specific rules and principles to reach valid conclusions. While individuals may have different perspectives or interpretations of a logical argument, the underlying principles of logic remain consistent and independent of personal beliefs or opinions. Therefore, logic is often seen as a universal and objective tool for rational thinking.
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What is the difference between predicate logic and propositional logic?
Predicate logic allows for the use of variables and quantifiers to express relationships between objects, while propositional logic only deals with simple propositions and their logical connections. In predicate logic, statements can be more complex and can involve the properties of objects, while propositional logic only deals with the truth values of simple propositions. Predicate logic is more expressive and can capture more complex relationships and reasoning than propositional logic.
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Is this a statement about the logic of propositional logic?
Yes, this is a statement about the logic of propositional logic. Propositional logic is a branch of logic that deals with the manipulation of logical statements using logical operators such as AND, OR, and NOT. It is used to represent and reason about the truth values of statements.
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What is objectively more difficult: philosophical logic or mathematical logic?
It is difficult to determine which is objectively more difficult between philosophical logic and mathematical logic as it largely depends on an individual's background, skills, and interests. Philosophical logic involves analyzing and evaluating arguments, concepts, and reasoning within the context of philosophical theories and ideas, while mathematical logic focuses on formal systems, symbols, and mathematical structures. Both fields require rigorous thinking and problem-solving, but the difficulty may vary for different people based on their aptitude and familiarity with the subject matter.
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