Recent questions tagged mathematical-reasoning

Are the pair of statements "The number $x$ is not a rational number." and "The number $x$ is not an irrational number." negation of each other?

asked Jul 14, 2014 by rvidyagovindarajan_1

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Write the negation of "Every natural number is an integer."

asked Jul 14, 2014 by rvidyagovindarajan_1

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Write the negation of "The number $2$ is greater than the number $7$."

asked Jul 14, 2014 by rvidyagovindarajan_1

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Write the negation of "All triangles are not equilateral triangle."

asked Jul 14, 2014 by rvidyagovindarajan_1

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Write the negation of "$\sqrt 2$ is not a complex number."

asked Jul 14, 2014 by rvidyagovindarajan_1

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Write the negation of "Chennai is the capital of Tamil Nadu."

asked Jul 14, 2014 by rvidyagovindarajan_1

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Give three examples of sentences which are not statements. Give reason.

asked Jul 4, 2014 by rvidyagovindarajan_1

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'All real numbers are complex numbers.' Is this sentence a statement? How?

asked Jul 4, 2014 by rvidyagovindarajan_1

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'Today is a windy day.' Is this sentence a statement? why?

asked Jul 4, 2014 by rvidyagovindarajan_1

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'The sum of all interior angles of a triangle is $180^\circ$.' Is this sentence a statement? Give reason.

asked Jul 4, 2014 by rvidyagovindarajan_1

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The product of $(-1)$ and $8$ is $8$. Is this sentance a statement? Give reason.

asked Jul 4, 2014 by rvidyagovindarajan_1

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'Answer this question.' Is this sentence a statement? why?

asked Jul 4, 2014 by rvidyagovindarajan_1

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The sides of a quadrilateral have equal length. Is this sentence a statement?

asked Jul 3, 2014 by rvidyagovindarajan_1

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The square of a number is an even number. Is this sentence a statement? Give reason.

asked Jul 3, 2014 by rvidyagovindarajan_1

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The sum of $5$ and $7$ is greater than $10$. Is this a statement? Give reason.

asked Jul 3, 2014 by rvidyagovindarajan_1

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Mathematics is difficult. Is this a statement? Give reason

asked Jul 3, 2014 by rvidyagovindarajan_1

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There are $35$ days in a month. Is this sentence a statement? Give reason.

asked Jul 3, 2014 by rvidyagovindarajan_1

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The statement $\sim(p \leftrightarrow \sim q)$ is

asked Apr 6, 2014 by balaji.thirumalai

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Statement-1: $(p \wedge \sim q) \wedge (\sim p \wedge q)$ is a fallacy, and Statement-2 : $(p \rightarrow q) \leftrightarrow (\sim q \rightarrow \sim p)$ is a tautology. Given these two statements, which of the following is true?

asked Mar 20, 2014 by balaji.thirumalai

1 answer

Which of the following is a logical statement?

asked Mar 20, 2014 by balaji.thirumalai

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Consider this statement "If the bank was robbed then I will not have any money".

asked Mar 20, 2014 by balaji.thirumalai

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If the following statements are true: $ ~r$, $p \rightarrow q$ and $q \rightarrow r$, then:

asked Mar 20, 2014 by balaji.thirumalai

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Let $S$ be a non empty subset of $R$. Consider the following statement: $P$: There is a rational number $x \in S$ such that $x\gt 0$. Then, which of the following statements is the negation of statement $P$:

asked Mar 20, 2014 by balaji.thirumalai

1 answer

Which of the following are tautologies and which are contradictions?

asked Mar 20, 2014 by balaji.thirumalai

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Choose the correct answer. The statement $p \rightarrow (q \rightarrow p)$ is equivalent to which of the following?

asked Mar 20, 2014 by balaji.thirumalai

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The proposition $(P \vee Q) \vee (\sim P \wedge \sim Q)$ is a:

asked Mar 20, 2014 by balaji.thirumalai

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$^{\sim}(p \Rightarrow q)$ is equivalent to

asked Jan 24, 2014 by thanvigandhi_1

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Let f : $R \rightarrow R$ be a function defined by $f(x) = min \{ x+1, |x| + 1 \}$. Then which of the following statements is true?

asked Jan 24, 2014 by thanvigandhi_1

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For which of the sets of a, is the statement, “The difference between the roots of the equation $x^2+ax+1 = $ is less than $ \sqrt 5”$ true?

asked Jan 24, 2014 by thanvigandhi_1

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$ ^{\sim}(p V q)$ is equivalent to

asked Jan 24, 2014 by thanvigandhi_1

1 answer