Consider the sentence Some real number is bigger than all ne
Consider the sentence “Some real number is bigger than all negative integers”
a. Identify the propositional functions lurking in the sentence. Assign a variable name to each.
b. Translate the sentence into statements of the predicate calculus.
c. Write the negation of the statement you constructed in (b) by applying all applicable negation rules.
d. Translate the negation into English.
e. Determine whether the original statement is true or false.
Solution
Give statement is
Some real number is bigger than all the negative integers
(a) take some real number is k
and all the negative integers is G
Then we define K>G
(b) K=>G
(c) some real number is not greater than all the negative integers then it is a positive integer
(D) the statement is some times true and sometimes false
