A logically valid argument
A logically valid argument links together the premises so that the conclusion flows smoothly, with each premise contributing an association in the chain. Hypothetical syllogism gives a good demonstration of the said linking. It takes the following form: if A →B →C, the logical conclusion would be that A →C. If logic A is true, then B would follow. If B were true, then C would follow. Therefore, we can assert that if A were true, then C would follow (Rice, 2017). For example, if you are in Brooklyn, then you are in New York, and if you are in New York, then you are in the United States of America. Therefore, the conclusion from this is if you are in New York, then you are in the United States. The association of reasonable judgment is transitive.
Hypothetical syllogism is what you get when you collectively string a sequence of conditionals where one is the other’s precedent. Both logic and determination are conditional (Salmon, 2013). The logical dependency path doesn’t work backward. The only accurate inference for conditionals is from the antecedent to the consequent (Salmon, 2013). For example, lets assume the following conditionals are correct; if Mike studies hard, he will pass the exam, and if he passes the exam, he will excel in class in the end. Assuming that Mike has passed the test, there is no certainty of deduction that Mike studied hard for the test. There are numerous ways in which these premises could be bona fide, but the conclusion remains false. In this case, Mike could have cheated on the exam or bribed the teacher to grade him well. Hypothetical syllogism is thus used to illustrate the truth of a conditional sentence by exhibiting the dependent steps leading up to it.
A logically valid argument links together the premises so that the conclusion flows smoothly, with each premise contributing an association in the chain. Hypothetical syllogism gives a good demonstration of the said linking. It takes the following form: if A →B →C, the logical conclusion would be that A →C. If logic A is true, then B would follow. If B were true, then C would follow. Therefore, we can assert that if A were true, then C would follow (Rice, 2017). For example, if you are in Brooklyn, then you are in New York, and if you are in New York, then you are in the United States of America. Therefore, the conclusion from this is if you are in New York, then you are in the United States. The association of reasonable judgment is transitive.
Hypothetical syllogism is what you get when you collectively string a sequence of conditionals where one is the other’s precedent. Both logic and determination are conditional (Salmon, 2013). The logical dependency path doesn’t work backward. The only accurate inference for conditionals is from the antecedent to the consequent (Salmon, 2013). For example, lets assume the following conditionals are correct; if Mike studies hard, he will pass the exam, and if he passes the exam, he will excel in class in the end. Assuming that Mike has passed the test, there is no certainty of deduction that Mike studied hard for the test. There are numerous ways in which these premises could be bona fide, but the conclusion remains false. In this case, Mike could have cheated on the exam or bribed the teacher to grade him well. Hypothetical syllogism is thus used to illustrate the truth of a conditional sentence by exhibiting the dependent steps leading up to it.