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  1. Here you will find our selection of Math Logic Problems worksheets which all involve trying use your reasoning and logical thinking skills to solve a range of problems.

  2. Introduction. The purpose of this booklet is to give you a number of exercises on proposi-tional, first order and modal logics to complement the topics and exercises covered during the lectures of the course on mathematical logic.

  3. Exercise Sheet 1: Propositional Logic 1. Let p stand for the proposition“I bought a lottery ticket”and q for“I won the jackpot”. Express the following as natural English sentences: (a) ¬p (b) p∨ q (c) p∧ q (d) p ⇒ q (e) ¬p ⇒¬q (f) ¬p∨ (p∧ q) 2. Formalise the following in terms of atomic propositions r, b, and w, first ...

  4. These dynamically created logic worksheets allow you to select different variables with different types of problems so you can customize them for your needs. Worksheets By Topics Addition

  5. 1.1 Propositional Logic: Introduction: The rules of logic are used to distinguish between valid and invalid mathematical arguments. Logic has numerous applications in e.g. the construction of computer programs, the verification of the correctness of programs etc.

  6. Give an example of a boolean expression in two variables P and Q which is a contradiction, in other words, in its truth table, it evaluates to F (false) for all inputs. Note: the expression must involve both variables somehow. For each statement, give the converse and the contrapositive.

  7. This set of practice problems from Section 1.3 will help you learn to create truth tables for propositions. You will create the table by first filling in truth values for subexpressions, one column at a time.

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