prove logical equivalence

Two propositions (simple or compound) are said to be logically equivalent if they have identical truth values. If p is logically equivalent to q, we denote p q. We have already constructed the truth table of (~p) q in earlier class. Recall the same truth t..

Two compound propositions p and q are said to be logically equivalent, if their truth values are same for each different combinations of the truth values of the components involved in them. If p and q are logically equivalent, then it is represented by p..

Select the correct statement(s). I. Deductive reasoning arrives at a valid conclusion by logical reasoning based on the available facts. II. Deductive reasoning is the only method to prove theorems. III. In geometry, postulates and properties are accepted as true and these are u..

Which of the following is true in indirect reasoning? => All the possibilities are not considered. or The statement to be proved is initially assumed to be false. or Logical reasoning is not used to reach a contradiction. or All the possibilities are proved to be false..

Through the activities suggested you will find that the angle bisectors, the perpendicular bisectors of sides, the altitudes and the medians of a triangle are concurrent. Now medians of a triangle are concurrent. Now we shall prove these properties by logical deductions. The po..

Introduction - Geometrical figures help us to understand various geometrical concepts. When we prove geometrical propositions by logical reasoning, we draw only a rough figure and we do not need to take accurate measurements but geometrical constructions have to be drawn accurat..

Consider the statement of a theorem "If a transversal intersects two parallel lines, then pairs of corresponding angles are equal”. This theorem has two parts. If (hypothesis) and then (conclusion). Let us interchange the hypothesis and conclusion and write the statement. "If a..

In Mathematics, a well-defined collection of definite objects is called a set. George Cantor is regarded as the "Father of Set theory". The concept of "Sets" is basic in all branches of mathematics. It has proved to be of particular importance in the foundations of relations and functions..

Introduction - Geometrical figures help us to understand various geometrical concepts. When we prove geometrical propositions by logical reasoning, we draw only a rough figure and we do not need to take accurate measurements but geometrical constructions have to be drawn accurat..

Logical Equivalence - Two propositions (simple or compound) are said to be logically equivalent if they have identical truth values. If p is logically equivalent to q, we denote p q. We have already constructed the truth table of (~p) q in..