(1) Are the following propositions? (e) The sun is shining. (b) It rained in Austin, TX, on October 30, 1999. (c) Come to class! (d) Is it raining? (2) Write each sentence in symbols using P- It...
(1) Are the following propositions? (e) The sun is shining. (b) It rained in Austin, TX, on October 30, 1999. (c) Come to class! (d) Is it raining? (2) Write each sentence in symbols using P- It is hot. and Q- It is sunny (a) It is sunny and hot. (b) It is not hot but it is sunny. (c) It is neither hot nor sunny (3) If P - Today it is raining, and Q-Today it is snowing. (a) What is -P? (b) What is PAQ? (c) What is PvQ? 1 (4) Write a truth table for the logcial connectives not, and, and or. (5) Rewrite these propositions using logical connectives and propositional vari- ables.(Define P and Q yourself) (a) If Ann is on time we will go to the movies. (b) If it snows or rains today, I will not go for a walk
(1) Are the following propositions? (e) The sun is shining. (b) It rained in Austin, TX, on October 30, 1999. (c) Come to class! (d) Is it raining? (2) Write each sentence in symbols using P- It is hot. and Q- It is sunny (a) It is sunny and hot. (b) It is not hot but it is sunny. (c) It is neither hot nor sunny (3) If P - Today it is raining, and Q-Today it is snowing. (a) What is -P? (b) What is PAQ? (c) What is PvQ? 1 (4) Write a truth table for the logcial connectives not, and, and or. (5) Rewrite these propositions using logical connectives and propositional vari- ables.(Define P and Q yourself) (a) If Ann is on time we will go to the movies. (b) If it snows or rains today, I will not go for a walk