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Engineering Mathematics, Volume I, Second Edition
book

Engineering Mathematics, Volume I, Second Edition

by Babu Ram
March 2012
Intermediate to advanced
604 pages
23h 58m
English
Pearson India
Content preview from Engineering Mathematics, Volume I, Second Edition

15

Logic

Logic is the study of reasoning and is specifically concerned with whether a particular reasoning is valid. It is a science of the necessary laws of thought, without which no employment of the understanding and the reason takes place.

15.1 PROPOSITIONS

Definition 15.1 A declarative sentence that is either true or false, but not both is called a Proposition or a Statement.

EXAMPLE 15.1

Which of the following are propositions?

  1. London is the capital of France
  2. Open the door
  3. Take two tablets of medicine
  4. x + y > 0, x, yZ
  5. The only positive integers that divide a prime number are 1 and the number itself.
  6. The sun is hot

Solution.

  1. The sentence is declarative and false. Hence, it is a proposition.
  2. The sentence “Open the door” is not declarative. ...
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Publisher Resources

ISBN: 9789332503632