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Property Of Proposition by Math Help





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Property Of Proposition by
Article Posted: 05/09/2013
Article Views: 18
Articles Written: 257
Word Count: 477
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Property Of Proposition


 
Education
Introduction to properties of proposition:

The word ‘proposition’ has an extensive property use in modern way of life. It is used to pass on to some of the property or all of the subsequent: the most important bearers of fact-value, the substance of trust and additional “propositional attitudes” the referents of that-clauses, and the senses of sentences.

One valor surprises whether a single class of entities can engage in recreation all these characters. If David Lewis (1986, p. 54) is precise in aphorism that “the conception we combine with the statement ‘proposition’ may be impressive of a jumble of contradictory desiderata,” then it will be unattainable to capture our conception in a consistent definition.

In philosophy and logic, the term proposition refers to either (a) the "content" or "meaning" of a meaningful declarative sentence or (b) the pattern of symbols, marks, or sounds that make up a meaningful declarative sentence. The meaning of a proposition includes having the quality or property of being either true or false, and as such propositions are claimed to be truth bearers.

About properties of proposition:

Properties of proposition is mainly satisfies the condition of “if and only if” property.

The expressions of a pair of meaningful declarative expressions are expressing the same meaning, even though they have different expression in their pair of expressions..

For example, for real numerals a and b, a = b + 1 if and only if b = a – 1.

Example for the property of propositions:

While property of proposition is mainly deals with the “if and only if”(iff) property, some of the examples for property of propositions.

Example 1: Ravi is a bachelor iff Ravi is a marriageable man who has never married.

Explanation of properties of proposition:

Here, first statement is says that “Ravi is a bachelor, it means, Ravi is an unmarried man” and the second statement “Ravi is a marriageable man who has never married”, it is also express the same thing that “Ravi is an unmarried man”.

So the property of proposition is satisfied when the two expressions are different, but the meaning of the proposition is same.

Example 2: for any x, y, and z. we say, (x & y) & z are iff x & (y & z),

This is written by using the non-constants and ‘&’, the expression would written, May by using symbols like `harr` or by using biconditionals, in place of “if and only if”.

Such as, (x & y) & z `hArr` x & (y & z),

or (x & y) & z `harr` x & (y & z),

(x & y) & z if and only if x & (y & z)

Understand more on about Confidence Intervals Definition and its Illustrations. Between, if you have issue on these subjects Statistics Regression Analysis, Please discuss your feedback.

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