The logic for proof by contradiction on a proposition is: Assume the negation of the proposition is true and verify it is false. Therefore by the T.T. the proposition is true. Assume the negation of the proposition is true and verify it is true. Therefore by the T.T. the proposition is true. Assume not q is true and show not p is true. Therefore by the T.T. the proposition is true. Assume not p and show not q is true. Therefore by the T.T. the proposition is true.

The logic for proof by contradiction on a proposition is: Assume the negation of the proposition is true and verify it is false. Therefore by the T.T. the proposition is true. Assume the negation of the proposition is true and verify it is true. Therefore by the T.T. the proposition is true. Assume not q is true and show not p is true. Therefore by the T.T. the proposition is true. Assume not p and show not q is true. Therefore by the T.T. the proposition is true.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The logic for proof by contradiction on a proposition is:

Assume the negation of the proposition is true and verify it is false. Therefore by the T.T. the proposition is true.

Assume the negation of the proposition is true and verify it is true. Therefore by the T.T. the proposition is true.

Assume not q is true and show not p is true. Therefore by the T.T. the proposition is true.

Assume not p and show not q is true. Therefore by the T.T. the proposition is true.

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