In a valid deductive argument, if the premises are true, then:
Conclusion must be true.
In the context of logical reasoning, a deductive argument is an argument in which the premises are intended to provide complete support for the conclusion such that if the premises are true, the conclusion necessarily follows. This characteristic of deductive reasoning differentiates it from inductive reasoning, where the premises provide some degree of support for the conclusion but do not guarantee it.
- Understanding the Concepts:
- Deductive Argument: An argument where the truth of the premises guarantees the truth of the conclusion.
- Validity: An argument is valid if the conclusion logically follows from the premises.
- Truth: A valid argument with true premises leads to a true conclusion.
- Analysis of the Question:
- We are given that the premises of a deductive argument are true.
- For a deductive argument, if the premises are true, then the argument's conclusion must also be true, provided the argument is valid.
- Logical Steps to Determine the Correct Option:
- Option 1: "Conclusion may sometimes be true" - This is not correct for a valid deductive argument, as the conclusion must be true if the premises are true.
- Option 2: "Conclusion must be true." - This is the correct option because in a valid deductive argument, true premises necessarily lead to a true conclusion.
- Option 3: "Conclusion must be false." - This is incorrect because if premises are true, the conclusion cannot be false.
- Option 4: "Conclusion can be probably true." - This reflects inductive reasoning, not deductive. Thus, it is incorrect here.
- Conclusion: Based on the logical reasoning, the correct answer is "Conclusion must be true."
Similar Questions
Given below are two statements:
Statement I: No immediate inference can ever be drawn from only one premise.
Statement II: In Aristotelian syllogism, the conclusion is drawn from the first premise through the mediation of the second.
In light of the above statements, choose the correct answer from the options given below:The product of any three consecutive integers is divisible by 6. Therefore, 3×4×5 (=60), is divisible by 6? Which type of reasoning is embodied here?
A deductive argument is invalid if:
Given below are some characteristics of reasoning. Select the code that states a characteristic which is not of deductive reasoning:
In which of the following arguments 'the relation that exists between premises and conclusion is that of logical necessity'?
The argument which claims that its conclusion is conclusively supported by its premises is called
Which is an example of a correct deductive argument?
The argument which claims that its conclusion is supported by its premises conclusively is:
“The relation that exists between Premises and Conclusion is that of logical necessity” – is a case with which of the following arguments ?
Which one of the following can be validly inferred from the proposition - “All animals are wild”?
Important Questions from Deductive
Given below are two statements:
Statement I: No immediate inference can ever be drawn from only one premise.
Statement II: In Aristotelian syllogism, the conclusion is drawn from the first premise through the mediation of the second.
In light of the above statements, choose the correct answer from the options given below:The product of any three consecutive integers is divisible by 6. Therefore, 3×4×5 (=60), is divisible by 6? Which type of reasoning is embodied here?
A deductive argument is invalid if:
Given below are some characteristics of reasoning. Select the code that states a characteristic which is not of deductive reasoning:
In which of the following arguments 'the relation that exists between premises and conclusion is that of logical necessity'?
