English

Negation of “Some men are animal” is ______.

Advertisements
Advertisements

Question

Negation of “Some men are animal” is ______.

Fill in the Blanks
Advertisements

Solution

Negation of “Some men are animal” is All men are not animals.

Explanation:

In formal logic (specifically the Square of Opposition), the negation of a particular affirmative statement (“Some S are P”) is its contradictory, the universal negative statement (“No S is P”).

shaalaa.com
  Is there an error in this question or solution?
Chapter 1.1: Mathematical Logic - Q.3

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

Write converse, inverse contrapositive of the statement "If two triangles are not congruent then their areas are not equal.


Construct the truth table of the following statement pattern.

[(p → q) ∧ q] → p


Construct the truth table of the following statement pattern.

(p ∧ q) ↔ (q ∨ r)


Construct the truth table of the following statement pattern.

p → [∼ (q ∧ r)]


Construct the truth table of the following statement pattern.

(p ∨ ∼ q) → (r ∧ p)


Construct the truth table of the following:

p → (q → p)


Construct the truth table of the following:

(∼p ∨ ∼q) ↔ [∼(p ∧ q)]


Express the following statement in symbolic form.

Milk is white or grass is green.


Write the truth value of the following statement.

The Himalayas are the highest mountains but they are part of India in the North East.


Write the negation of the following statement.

− 3 is a natural number.


Write the truth value of the negation of the following statement.

`sqrt5` is an irrational number.


Write the following statement in symbolic form.

It is not true that “i” is a real number.


Assuming that the following statement is true,

p : Sunday is holiday,

q : Ram does not study on holiday,

find the truth values of the following statements.

Sunday is a holiday and Ram studies on holiday.


If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement.

~ (p ∨ q)


Assuming the first statement p and second as q. Write the following statement in symbolic form.

Mona likes Mathematics and Physics.


Assuming the first statement p and second as q. Write the following statement in symbolic form.

x3 + y3 = (x + y)3 if xy = 0.


If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.

It is not true that the proof is lengthy but it is interesting.


Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.

∼ p ∨ q


Write the negation of the following.

If ∆ABC is not equilateral, then it is not equiangular.


Write the negation of the following statement.

7 is prime number and Tajmahal is in Agra.


Write the negation of the following statement.

10 > 5 and 3 < 8


Write the negation of the following statement.

I will have tea or coffee.


State whether the following statement is True or False:

The converse of inverse of ~ p → q is q → ~ p


Which of the following is false?


Conditional of p → q is equivalent to p → ∼ q.


The statement ∼(p ↔ ∼q) is ______.


From the following set of statements, select two statements which have similar meaning.

  1. If a man is judge, then he is honest.
  2. If a man is not a judge, then he is not honest.
  3. If a man is honest, then he is a judge.
  4. If a man is not honest, then he is not a judge.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×