A valid argument can have a true conclusion and false premises (see #11); and if an argument does not have all true premises, then it is not sound. So, a deductive argument is invalid if its preemies are all true but the conclusion is false. Therefore, the conclusion of a sound argument must be true. For concreteness, let's consider a particular analytically (with respect to Peano Axioms) impossible sentence, say: (0 = 1). In the text I'm reading, a valid argument is defined as "an argument in which it is impossible for the premises to be true and at the same time the conclusion false." A valid argument only needs to have all its steps properly connected, from its starting point to its conclusion. It is impossible for an invalid argument to be a strong argument. True or False. In broad terms, there are two features of arguments that make them good: (1) the structure of the argument and (2) the truth of the evidence provided by the argument. True/False It is impossible for a sound argument to have a false conclusion. a valid argument in which it is impossible to have true premises and a false conclusion a valid argument with true premises and a false conclusion an argument in which it is possible to have true premises and a true conclusion a valid argument with true premises all of these By the way being non-true in every structure is no adequate general definition of logical falsity, since it presupposes bivalence and not all logics having logical falsities are ⦠Are there any examples of a logically valid argument where the premises are all true, but the conclusion is Valid vs. Sound Arguments If a deductive argument is valid, that means the reasoning process behind the inferences is correct and there are no fallacies. In our world, in the argument given above, the premises and the conclusion are all true but we can easily imagine a world where premise 1 and premise 2 are true but the conclusion is false. If the premises of such an argument are true, then it is impossible for the In a valid deductive argument, if the premises are true, it is impossible for the conclusion to be false. It is important to keep in mind that just because an argument does have a possibly valid combination of premise-conclusion truth values (for example, true premises and true conclusion), it is not necessarily valid. 6. Argument whose conclusion must be true if its premises are In logic, more precisely in deductive reasoning, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. Question 5 1 / 1 pts A sound argument is _____. A good argument must: have true premises, be valid or strong, and have premises that are more plausible than its conclusion. 5. Important Fact: An argument is "valid" such that, assuming it's premises are true, the conclusion must be true. Based on the fact that a deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false, I am Alternatively, look at the definition of INvalid: an argument is invalid iff it is not valid iff there is an interpretation I that makes (a) all the premises true and (b) the conclusion false. Here is an example: > All elephants are mammals Jumbo is an elephant Therefore, Jumbo is a mammal Unfortunately, the following is also a perfectly To be sound, an argument must be valid, and it must have premises that are all actually true. D. The premises must all be true. Yes, of course. valid then it is impossible for it to have all true premises and a false conclusion. It's impossible The definition of a LOGICALLY (or deductively) VALID argument is that it is any argument where IF the premises are true then it is IMPOSSIBLE for the conclusion to be false. > Q: Can a valid argument have a false conclusion? A valid argument is one where the premises necessarily lead to the conclusion. An argument is valid if, and only if, it is impossible for there to be a situation in which all it's premises are TRUE and it's conclusion is FALSE. Thank you for the A2A. 1. To see why the last argument is not valid, try to think of a possible scenario that Question 15 1 / 1 pts A sound argument is _____. Where an argument is logically valid "if and only if it is not possible for the premises to be true and the conclusion false." True - This is the definition of a valid argument. A valid argument may have false premises that render it inconclusive: the conclusion of a valid argument with one or more false premises may be true or false. Student Answer: all of these a valid argument in which it is impossible to have true premises and a false conclusion a valid argument with true premises an argument in which it is possible to have true premises and a true conclusion a valid argument with true premises and a false conclusion Instructor ⦠Logic seeks to discover the forms that make arguments valid. It does not imply that the starting assumptions or assetions were true. 2. No, both valid and invalid arguments can have all true premises and a true have all In inductive arguments, the premise(s) provide probabilistic support. Because validity is defined in terms of possibility and impossibility instead of being a function of the actual truth values of the statements in an argument, it can be difficult to understand all of the implications and nuances of the definitions of validity and soundness. Valid argument forms Before we continue, let's reflect for a moment on a central concept we introduced in the previous section - the concept of validity. True/False If all the premises of an argument are false then it is impossible for the argument to be valid. A valid argument is one in which it is impossible for the premises to be true and the conclusion false at the same time. A valid argument is one where, if all the premises are actually true, the conclusion must necessarily be true. 1. Can a valid argument with consistent premises have an analytically impossible conclusion? True/False If an argument is unsound, it is 5)If an The question: Can a valid argument be such that all the premises and the conclusion are false? Is it possible to have a sound argument that is not valid? Validity: An argument is valid when, IF all of itâs premises were true, then the conclusion would also HAVE to be true. State your (tentative) conclusion. 6) false; the premises of a valid argument can in fact all be false; the conclusion of a valid argument can be false; the only thing required is that if the premises were true, the conclusion could not be false. An alien, unfamiliar with the solar system, peers through a port in his flying saucer, spies Venus 8. a valid argument in which it is impossible to have true premises and a false conclusion a valid argument with true premises - 10127079 It is impossible for the premises all to be true. (ii) It is impossible for the conclusion of a valid argument to be false while its premises are true. Question: QUESTION 1 It Is Impossible For A Valid Argument To Have True Premises And A False Conclusion True False QUESTION 2 If An Argument Is Valid, Then Its Conclusion Is True True False QUESTION 3 If An Argument Is Sound, Then It Is Valid O True False QUESTION 4 If Our Moral Beliefs Are Influenced By Our Cultures, Then Moral Beliefs Are Subjective True ⦠When premises are contradictory, the argument is always valid because it is impossible for all the premises to be true at one time. That is, it is improbable, but possible, that the conclusion is false in good/strong inductive arguments. Once you have identified an argument, you can use these tools to assess whether itâs a good or bad one, whether the evidence and reasoning really support the claim or not. A sound argument is __________. We can recognize in the above case that even if one of the premises is actually false , that if they had been true the conclusion would have been true as well. Or, which comes to the same thing: An argument is valid just if the set consisting of its premises and the negation of its conclusion is inconsistent. True or False. Your argument is valid (in any structure where the premises get a designated value the conclusion get such a value) but the conclusion is not logically false (since its negation is satisfiable). An argument is valid if the premises and conclusion are related to each other in the right way so that if the premises were true, then the conclusion would have to be true as well. How to Construct a Valid Main Argument 1. In a valid argument, if the premises are true, then the conclusion cannot be false, since by definition it is impossible for a valid argument to have true premises and a false conclusion in the same situation. Explain your answer. a valid argument in which it is impossible to have true premises and a false conclusion a valid argument with true premises and a false conclusion an argument in which it is possible to have true premises and a true conclusion Correct! The text then later prompts me to declare whether it's possible for an argument to be valid with a contradiction for a ⦠That is, it is impossible for the conclusion to be false if we assume the premises are true in a good/valid deductive argument. Any deductive argument that is not valid is called invalid. 15. Again, to say that an argument is deductively valid is to say that it is impossible for all of its premises to be true and its conclusion to be false. So given that a sound 5) false; a valid argument can have a false conclusion, but that is never sufficient to determine its validity. a valid argument with true premises 1 1.4 Validity and Soundness A deductive argument proves its conclusion ONLY if it is both valid and sound. By definition, a valid argument cannot have a false conclusion and all E. It is possible for all of the premises to be true. TRUE. Letâs assume that you have chosen your topic and you have a sense of your position on it (though it can be refined as you develop your argument). An argument is valid just if it would be impossible for its premises all to be true and its conclusion false simultaneously. Question : A sound argument is _____. Explain your answer. Which means that an argument can be valid even if the premises are
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