Hyperproof: For Macintosh (Volume 42) (Lecture Notes) 1st Edition by Jon Barwise (PDF)

Description

Hyperproof is a system for learning the principles of analytical reasoning and proof construction, consisting of a text and a Macintosh software program. Unlike traditional treatments of first-order logic, Hyperproof combines graphical and sentential information, presenting a set of logical rules for integrating these different forms of information. This strategy allows students to focus on the information content of proofs, rather than the syntactic structure of sentences. Using Hyperproof the student learns to construct proofs of both consequence and nonconsequence using an intuitive proof system that extends the standard set of sentential rules to incorporate information represented graphically. Hyperproof is compatible with various natural-deduction-style proof systems, including the system used in the authors’ Language of First-Order Logic.

User’s Reviews

Editorial Reviews: Review “Hyperproof is wonderful! With it you can construct and check proofs in an expanded version of the language of Tarski’s World. And there is more, much more, another whole dimension. Hyperproof lets you use pictorially-presented information and pictorially-oriented deduction techniques, in combination with sentences and syntactic rules, to reason about its block worlds. It is an extraordinarily impressive programming achievement. The lengthy accompanying manual is well written and contains a great many well-designed exercises. Hyperproof will make learning first-order logic enormously more fun.” — Carl Ginet, Cornell University“Hyperproof encourages students to improve their reasoning skills and to learn about reasoning in a way that’s already familiar to them, i.e., looking at a world, making observations about it, forming hypotheses, and reasoning from those observations and suppositions. This unique approach to logic instruction makes the benefits of formal systems of reasoning immediately clear to students. It also highlights sophisticated points about the interaction between language and the world in an accessible way.” — Sandra Visser, Valparaiso University About the Author Jon Barwise (1942-2000) was a mathematician, philosopher and logician. He taught at the Universities of Yale and Wisconsin before becoming the first director of the Center for the Study of Language and Information at Stanford University. From 1990 until his death he was professor of philosophy at Indiana University. John Etchemendy has been professor of philosophy at Stanford since 1983. In 2000 he became Provost of Stanford University.

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