Mathematical Reasoning

Given \(\mathrm{p}\) : A man is a judge, \(\mathrm{q}\) : A man is honest

If \(\mathrm{S} 1\) : If a man is a judge, then he is honest

S2 : If a man is a judge, then he is not honest

S3 : A man is not a judge or he is honest Then

S4 : A man is a judge and he is honest