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Deductive arguments are arguments in which there is a conclusion that follows from the premises (assumptions). The types of deductive arguments (which is a type of logical arguments) are:
Syllogism: always has two premises and all three statements are categorical propositions, and each term is happens twice. Example:
All humans are mortal.
Socrates is human.
Therefore, Socrates is mortal.
Hypothetical Syllogism: made of if-then statements. Example: if p, then q. If Q, then R. If R, then S. Therefore, if P, then S.
Disjunctive Syllogism: Involves use of either/or. Example: either A or B. Not B. Therefore A.
Modus Ponens (MP): If A (the antecedent) then B (consequent).
Modus Tollens (MT): If P, then Q, not Q, therefore, not P.
Dilemma: No matter what happens, the conclusion is negative.
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DevinThe types of deductive arguments include categorical syllogisms (where the premises and conclusion involve categorical propositions), hypothetical syllogisms (involving conditional statements), and disjunctive syllogisms (based on the principle of exclusion). These forms help in structuring reasoning to draw valid conclusions from given premises.
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When the premise of a deductive argument follow the correct form we call the argument?
Valid. A deductive argument is considered valid when it follows the correct form of logic, even if the premises are not true. This means that if the premises of a valid deductive argument are true, then the conclusion must also be true.
What factors contribute to the soundness of a deductive argument?
The soundness of a deductive argument is determined by the validity of its logical structure and the truth of its premises. If the argument is logically valid and the premises are true, then the argument is considered sound.
Can a valid deductive argument have a false conclusion?
No, a valid deductive argument cannot have a false conclusion. If the argument is valid, it means that the conclusion logically follows from the premises. If the conclusion is false, it means that the argument is not valid.
When the premises of a deductive argument follow the correct form we call the argument?
valid
What will the The truth table for a valid deductive argument show?
The truth table for a valid deductive argument will show that when the premises are true, the conclusion is also true. It will demonstrate that the argument follows the rules of deductive logic and the conclusion necessarily follows from the premises.
