If false imples true then you can’t make statements about real life? Confused


Why does false imply true true?

So the reason for the convention ‘false implies true is true’ is that it makes statements like x<10→x<100 true for all values of x, as one would expect.

Do two Falses make a true?

No. Formal logic (valid reasoning) guarantees only that from true statements, a false conclusion (statement) cannot be deduced. Valid reasoning preserves the truth of premises. It does not say that from false premisses a true conclusion cannot be reached (by a multiple logically invalid steps).

Why implication is true when p is false?

The implication p → q (read: p implies q, or if p then q) is the state- ment which asserts that if p is true, then q is also true. We agree that p → q is true when p is false. The statement p is called the hypothesis of the implication, and the statement q is called the conclusion of the implication.

What false implies true?

The mistake is that we start from a false premise, that of 2=5 , and then use completely correct methods (multiply an equation on both sides by the same number) to arrive a true statement, that 0=0 . That process is logical: false can imply true.

Is false == false true?

In Math a = b = c mean all a = b , b = c and a = c . So True is False == False means True == False and False == False and True == False , which is False . For boolean constants, is is equivalent to == . Actually, a is b == c only means (a is b) and (b == c) : a and c are not compared.

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Which statement about the logical operators & and && is true?

Remarks. The logical AND operator ( && ) returns true if both operands are true and returns false otherwise. The operands are implicitly converted to type bool before evaluation, and the result is of type bool . Logical AND has left-to-right associativity.

What is Boolean true or false?

In computer science, a Boolean is a logical data type that can have only the values true or false .