A deductive argument is invalid if:
Its premises are all true but its conclusion is false.
To determine when a deductive argument is invalid, we need to understand what constitutes a valid deductive argument. A deductive argument is considered valid if, assuming that the premises are true, the conclusion must also be true. In other words, it's impossible for the premises to be true and the conclusion false at the same time in a valid argument.
Now, let's examine the options provided:
- Its premises and conclusion are all true. - This condition does not make an argument invalid. A deductive argument can have true premises and a true conclusion and still be valid.
- Its premises and conclusion are all false. - This scenario does not automatically make an argument invalid because validity focuses on the structure rather than the truth of the premises or conclusion.
- Its premises are all false but its conclusion is true. - This situation also doesn't necessarily make an argument invalid. While surprising, it's possible structurally for the logic to remain valid even if the premises are false, as validity is not about the actual truth values but the logical consistency.
- Its premises are all true but its conclusion is false. - This condition indicates an invalid argument. If a deductive argument has all true premises but ends in a false conclusion, then there is a flaw in the logical structure of the argument, rendering it invalid.
Thus, the correct answer is: Its premises are all true but its conclusion is false.
This principle is fundamental in logical reasoning and is used to test the validity of arguments. An argument that exhibits true premises and a false conclusion does not adhere to the rules of deductive logic, leading to its classification as invalid.
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?
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 ?
In a valid deductive argument, if the premises are true, then:
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?
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
