Question Bank - Logical Reasoning

Here's the question bank on all the logical reasoning topics.

Given below are two statements:Statement I : An argument form that allows for a substitution instance having true premises and a false conclusion is an invalid form.Statement II : Any arguments having true premises and a false conclusion is an invalid argument.In the light of the above statements, choose the correct answer from the options given below :

A.
Both Statement I and Statement II are true
B.
Both Statement I and Statement II are false
C.
Statement I is true but Statement II is false
D.
Statement I is false but Statement II is true

Solution:

A premise is a statement in an argument that provides reason or support for the conclusion. There can be one or many premises in a single argument.Important PointsStatement I: An argument form that allows for a substitution instance having true premises and a false conclusion is an invalid form.A conclusion is a statement in an argument that indicates what the arguer is trying to convince the reader/listener.The argument really does have all true premises and a true conclusion, but still, it is invalid”because it is possible for an argument with this structure to have true premises and a false conclusion. eg: P1: All dogs are mammals. P2: All cats are mammals. C: All cats are dogs. True premises can lead to either a true or a false conclusion in an invalid argument.Thus the statement I is correct. Statement II: Every argument with true premises and a false conclusion is INVALID.A valid argument cannot possibly have all true premises and a false conclusion. If some argument really does have all true premises and a false conclusion, then it is obviously possible for such an argument to have true premises and a false conclusion. So the argument is invalid.Thus statement II is correct.Hence we can conclude that both Statement I and Statement II are true.

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