Question

1. What is the relationship between validity, soundness and truth?

2. Define the property of entailment and explain its relationship to validity and soundness.

Answer 1

• 1.First, let us briefly characterize these concepts:-
• Truth: a property of statements, i.e., that they are the case.
• Validity: a property of arguments, i.e., that they have a good structure.(The premisses and conclusion are so related that it is absolutely impossible for the premisses to be true unless the conclusion is true also.)
• Soundness: a property of both arguments and the statements in them, i.e., the argument is valid and all the statement are true.
• A valid deductive argument is an argument such that it is impossible for the premises to be true and the conclusion false. The conclusion follows with strict necessity from the premises.
  
• In logic, truth is a property of statements, i.e. premises and conclusions, whereas validity is a property of the argument itself.
• A deductive argument is sound if and only if it is both valid, and all of its premises are actually true. Otherwise, a deductive argument is unsound.
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