GATE (Graduate Aptitude Test in Engineering) Philosophy (XH-C4) Classical and Modern Western Philosophy-Logic Study Material (Page 21 of 23)

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Proof of Invalidity through Quantifiers

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Proof of Invalidity through Quantifiers

There are two types of quantificational sentences:

  • A quantificational sentence with a single quantifier is termed as a singly-general sentence,
  • A quantificational sentence with multiple quantifiers is termed as a multiply-general sentence.

To find values for variables in the sentential function in order to g…

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Truth-Functional Sentence

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Truth-Functional Sentence

We know that every statement is either true or false. So, there are truth values of a statement. The truth-value of a true statement is true and the truth-value of a false statement is false. For example, ‘Mary is ugly but Mary is rich’ . This is a compound statement, specifically, a conjunctive statement where two simple statements are conjoined by placing ‘but’ between them. Since the truth-value of this conjunctive statement can be wholly determi…

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