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It is often a tautology - a statement which is true bit adds nothing to anyone's knowledge. A recent example is the fatuous remark by the British Prime Minister "Brexit is Brexit".
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Why empty set is open on the basis of def?
The empty set is open because the statement: "if x in A, some neighborhood of x is a subset of A" is true! If A is empty, the hypothesis: "if x in A" is false and so the statement is vacuously true.
Does a set with no element belong to any kind of set?
I believe you are talking about subsets. The empty set (set with no elements) is a subset of any set, including of the empty set. ("If an object is an element of set A, then it is also an element of set B." Since no element is an element of set A, the statement is vacuously true.)
What is a statement that is true only if both parts of the statement are true?
In computing, this is an AND statement.
Is the equation for power is distance multiplied by time a true statement?
No, it is not a true statement. It is a false statement.
Is this statement true or falseThe (then) part of a conditional statement is the conclusion.?
true
Why empty set is open on the basis of def?
The empty set is open because the statement: "if x in A, some neighborhood of x is a subset of A" is true! If A is empty, the hypothesis: "if x in A" is false and so the statement is vacuously true.
Does a set with no element belong to any kind of set?
I believe you are talking about subsets. The empty set (set with no elements) is a subset of any set, including of the empty set. ("If an object is an element of set A, then it is also an element of set B." Since no element is an element of set A, the statement is vacuously true.)
is this statement true or false BC?
If the statement is false, then "This statement is false", is a lie, making it "This statement is true." The statement is now true. But if the statement is true, then "This statement is false" is true, making the statement false. But if the statement is false, then "This statement is false", is a lie, making it "This statement is true." The statement is now true. But if the statement is true, then... It's one of the biggest paradoxes ever, just like saying, "I'm lying right now."
What is circular logic?
Circular logic would be a statement or series of statements that are true because of another statement, which is true because of the first. For example, statement A is true because statement B is true. Statement B is true because statement A is true
What is a statement that is true only if both parts of the statement are true?
In computing, this is an AND statement.
What is a true statement that combines a true conditional statement and its true converse?
always true
What is a true statement that combines a true conditional statement and is its true converse?
always true
Which statement is not true about characteristics of myths?
Which statement is not true about characteristics of myths?Which statement is not true about characteristics of myths?
If a conditional statement is true then its contrapositive?
If a conditional statement is true then its contra-positive is also true.
Is the equation for power is distance multiplied by time a true statement?
No, it is not a true statement. It is a false statement.
Is this statement true or falseThe (then) part of a conditional statement is the conclusion.?
true
A hypothesis is a statement of fact true or false?
A hypothesis is a statement.
