By Jon Barwise, John Etchemendy

Hyperproof is a approach for studying the foundations of analytical reasoning and evidence development, which include a textual content and a Macintosh software. in contrast to conventional remedies of first-order good judgment, Hyperproof combines graphical and sentential info, offering a collection of logical ideas for integrating those assorted types of info. This method permits scholars to target the data content material of proofs, instead of the syntactic constitution of sentences. utilizing Hyperproof the scholar learns to build proofs of either outcome and nonconsequence utilizing an intuitive evidence approach that extends the traditional set of sentential principles to include info represented graphically. Hyperproof is appropriate with a number of natural-deduction-style evidence structures, together with the method utilized in the authors' Language of First-Order common sense.

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Example text

The target sentence for the first goal is -

  • Proven your first result in Hyperproof! Congratulations, you've 6. Before closing your proof, try double-clicking on the goal icon. When you do this, a window will appear that explains the goal more explicitly. This is useful in case you can't remember the meaning of the goal icon. If you click on the Help button in the goal window, you will also get an explanation of how to satisfy this type of goal. To satisfy a nonconsequence goal, you must create an extension of the given situation in which all the given sentences are true but the goal sentence is false.

    While still focused on this step, look down at the status bar. It will say that an alternate truth assignment was found and give you the option of showing the assignment. Click on the Show It button. In the window that appears, you will see a truth assignment: F F T A B C 3. Turn to the truth table on page 43 and examine the row in which A and B are assigned the value F, and C is assigned the value T. Sure enough, this is one of the rows in which (A A B) V -C comes out false. Sometimes Hyperproof will not give you a complete assignment like this, especially when there are a lot of atomic sentences involved.

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