1. What connectives states that “it is TRUE if at least any of the propositional variable A or B is true.”?A) ORA) ANDB) ORC) ImplicationD) Negation

What connectives denote the “→”A) If and only ifB) ORC) ImplicationD) Negation

The logical connective "AND" is also known as:a.Conjunctionb.Disjunctionc.Negationd.Implication

The logical connective "IF-THEN" is also known as:a.Conjunctionb.Disjunctionc.Negationd.Implication

Let 𝑝 and 𝑞 be the proposition variables denoting𝑝: It is below freezing.𝑞: It is snowing.Write the following propositions using variables, 𝑝 and 𝑞, and logical connectives.a. It is below freezing and snowingb. It is below freezing but not snowingc. It is not below freezing and it is not snowing.d. It is either snowing or below freezing (or both).e. If it is below freezing, it is also snowing.f. It is either below freezing or it is snowing, but it is not snowing if itis below freezing.g. That it is below freezing is necessary and sufficient for it to besnowing

69. Given C: Proposition No cheater is honest is true. Therefore, some cheaters are honest is false. With reference to the Given C proposition, which of the following rules is applicable? a. Contradictories cannot be both false, if one is true, the other is false. b. Contradictories cannot be both false, if one is false, the other is true. c. If the particular statement is true, the subaltern is doubtful. d. Contraries can be false at the same time. 70. With reference to the Given C proposition, which following rule is applicable? a. Sub- contratries can be true at the same time. b. Contraries can be false at the same time. c. Contradictories cannot be both false; if one is false, the other is true. d. If the universal is false, the subaltern is doubtful. 71. Which logical opposition applies this rule; 1. If one proposition is true, the other is false. 2. If one proposition is false, the other is doubtful a. Contradictory b. Subcontrary c. Contrary d. Subaltern