Table of Contents
- 1 When an argument has all true premises and a true conclusion?
- 2 Can an inductive argument have all true premises and a true conclusion?
- 3 Do all valid arguments have true premises?
- 4 Why may a logically correct argument have false premises?
- 5 What are the premises of an argument with false premises?
- 6 Can the conclusion of a valid argument be false?
When an argument has all true premises and a true conclusion?
TRUE: If an argument is sound, then it is valid and has all true premises. Since it is valid, the argument is such that if all the premises are true, then the conclusion must be true. A sound argument really does have all true premises so it does actually follow that its conclusion must be true. 3.
Can an inductive argument have all true premises and a true conclusion?
This argument is inductively strong because if all its premises were true, then it would be highly likely or probable that its conclusion would also true. Inductively strong arguments may have: True premises, true conclusion.
Can a conclusion be true if the premises are false?
Nevertheless, in these examples, the conclusion is true. Validity is a guarantee of a true conclusion when the premises are true but offers no guarantee when the premises are false. False premises can lead to either a true or a false conclusion even in a valid argument.
Can you have true premises and a true conclusion?
For either argument, the logic is valid. And, both the premises and the conclusion are true. Indeed, by definition, any valid argument with true premises will also have a true conclusion.
Do all valid arguments have true premises?
All valid arguments have all true premises and true conclusions. If an argument is valid, then it must have at least one true premise.
Why may a logically correct argument have false premises?
A false premise is an incorrect proposition that forms the basis of an argument or syllogism. Since the premise (proposition, or assumption) is not correct, the conclusion drawn may be in error. However, the logical validity of an argument is a function of its internal consistency, not the truth value of its premises.
Can deductive arguments have false premises?
A valid deductive argument can have all false premises. An invalid deductive argument can have all false premises and a true conclusion. 5. A valid deductive argument cannot have all false premises and a true conclusion.
What does it mean to have a true premises?
Next Related Topic on Ring. This is a deductive argument in which the premises do support the conclusion. Furthermore, the premises are actually true. (Their truth is, usually, established by some discipline other than logic.)
What are the premises of an argument with false premises?
For the premises to be true, all of them need to be true. But, for the premises to be false, only one need be false. So, an argument with a mixture of true and false premises is still considered to be an argument with false premises–it is false that all of the premises are true. Nevertheless, in these examples, the conclusion is true.
Can the conclusion of a valid argument be false?
A valid argument guarantees that the conclusion shall be true whenever all premises are true. This guarantee is broken only when the conclusion may be false when all premises are true. So a valid argument does allow for a case where the conclusion is true while some (or all) of the premises are false. Its guarantee is not broken by that.
Can a false premise lead to a true conclusion?
False premises can lead to either a true or a false conclusion even in a valid argument. In these examples, luck rather than logic led to the true conclusion.
What is a perfectly good argument?
There isn’t a rigorous definition of “a perfectly good argument”, but I believe what’s being referred to is cases where true (in the world) conclusions do not follow (in logic) from the premises, even if they are also true (in the world). The premises are true statements about the world.