Leseprobe
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How Logic Works
Hans Halvorson
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Geisteswissenschaften, Kunst, Musik / Philosophie
Beschreibung
A concise introduction to logic that teaches you not only how reasoning works, but why it works
How Logic Works is an introductory logic textbook that is different by design. Rather than teaching elementary symbolic logic as an abstract or rote mathematical exercise divorced from ordinary thinking, Hans Halvorson presents it as the skill of clear and rigorous reasoning, which is essential in all fields and walks of life, from the sciences to the humanities—anywhere that making good arguments, and spotting bad ones, is critical to success.
Instead of teaching how to apply algorithms using “truth trees,” as in the vast majority of logic textbooks, How Logic Works builds on and reinforces the innate human skills of making and evaluating arguments. It does this by introducing the methods of natural deduction, an approach that teaches students not only how to carry out a proof and solve a problem but also what the principles of valid reasoning are and how they can be applied to any subject. The book also allows students to transition smoothly to more advanced topics in logic by teaching them general techniques that apply to more complicated scenarios, such as how to formulate theories about specific subject matter.
How Logic Works shows that formal logic—far from being only for mathematicians or a diversion from the really deep questions of philosophy and human life—is the best account we have of what it means to be rational. By teaching logic in a way that makes students aware of how they already use it, the book will help them to become even better thinkers.
- Offers a concise, readable, and user-friendly introduction to elementary symbolic logic that primarily uses natural deduction rather than algorithmic “truth trees”
- Draws on more than two decades’ experience teaching introductory logic to undergraduates
- Provides a stepping stone to more advanced topics
Kundenbewertungen
Set (mathematics), Disjunctive syllogism, Recursively enumerable set, Logic, Conjunction introduction, Material implication (rule of inference), Entscheidungsproblem, Theorem, Set theory, Soundness, Subset, Natural language, Classical logic, Prime number, Axiom, Modus tollens, Quantifier (logic), Truth value, Special case, Consistency, Reductio ad absurdum, Rule of inference, Substructural logic, Validity, Truth table, Negation, Diagram (category theory), Logical conjunction, Mathematical logic, Sequent, Gödel's incompleteness theorems, Formal proof, Logical reasoning, Disjunction introduction, First-order logic, Parse tree, Variable (mathematics), Logical connective, Direct proof, Disjunction elimination, Zermelo–Fraenkel set theory, Logical disjunction, Predicate (mathematical logic), Atomic sentence, Theory, Contradiction, Natural number, Mathematical induction, Philosophy of mathematics, Phrase, Mathematics, Paradoxes of material implication, Real number, Intuitionistic logic, Propositional calculus, Existential quantification, Double negation, Infimum and supremum, Mathematician, The Philosopher, Inference, Decidability (logic), Disjunctive normal form, Sequent calculus, Conjunction elimination, Truth function, Counterexample, Tautology (logic), Predicate logic, Modal logic