Table of Contents
- 1 Can a true imply a false?
- 2 How do you tell if a proposition is true or false?
- 3 Is false and false true?
- 4 What does it mean for an implication to be true?
- 5 Is a declarative sentence that can be meaningfully classified as either true or false?
- 6 What is the truth value of a false proposition?
- 7 Is the truth of B implied by A and B?
- 8 What is the difference between A and B in logic?
Can a true imply a false?
This is an example of ‘true implies true’. This is also a true statement, of the form ‘false implies false’. Finally, if we use the number 50, we get “if 50 is smaller than 10 then it is also smaller then 100”. This is an example of ‘false implies true’, and it still should be a true statement.
How do you tell if a proposition is true or false?
This kind of sentences are called propositions. If a proposition is true, then we say it has a truth value of “true”; if a proposition is false, its truth value is “false”. For example, “Grass is green”, and “2 + 5 = 5” are propositions.
What is implication truth table?
The truth table for an implication, or conditional statement looks like this: If p is false, then the implication with p as the hypothesis will not meet its condition (that p be true) so q does not have to be either true or false.
Can propositions be true or false?
A proposition (statement or assertion) is a sentence which is either always true or always false.
Is false and false true?
false and false is false logically.
What does it mean for an implication to be true?
If an implication is known to be true, then whenever the hypothesis is met, the consequence must be true as well. This is why an implication is also called a conditional statement. Example 2.3.
Is a declarative sentence that is either true or false?
A proposition is a declarative sentence that is either true or false (but not both). The truth or falsehood of a proposition is called its truth value.
Is a declarative sentence that is either true or false but not both?
Definition A proposition is a declarative sentence to which we can assign a truth- value of either true or false, but not both.
Is a declarative sentence that can be meaningfully classified as either true or false?
A proposition is a declarative sentence that is either true or false (but not both).
What is the truth value of a false proposition?
If our original proposition is false, then its negation is true. If our original proposition is true, then its negation is false….Truth Value.
| p | NOT p |
|---|---|
| T | F |
| F | T |
What if a->B is not true?
If A isn’t true then we don’t know if maybe when it is true then B would be false. could be B would be true, could be it’d be false. If A is false i.e. it’s not raining.. and B is false, worms don’t come out.. That shouldn’t mean that A->B is true.
Is the implication statement if false then false true?
In short, in the case of “if false, then false” the implication statement is true, not the constituent propositions. The resulting truth value of this particular logical condition is not a matter of empirically verifying the propositional truth values – it is simply the result of the logical construction.
Is the truth of B implied by A and B?
The truth of B is implied from the truth of A, but A is a false statement. So it’s very contradictory that this may be, and in fact, if you go through a real life example, you would find that the third statement seems to be false. Say A is the statement that it is dark outside, and B the statement that the sun is not on our side of the earth.
What is the difference between A and B in logic?
In normal English that isn’t right, but it is right in formal logic or computer code. In computer code or formal logic, either A or B is true if any of the following are true: A is true, B is true. So if A and B is true, then A is true, thus either A or B is true.