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GEN MATH REVIEW

1ST SEM FINALS, 11-BLSD. GABRIELA

QuestionAnswer
are declarative sentences that are either true or false, but not both. If a proposition is true, then its truth value is true, which is denoted by 𝑻; otherwise, its truth value is false, which is denoted by F PROPOSITIONS
a proposition formed from a simpler proposition using logical connectors or some combination of logical connectors. Where <∙> stands for some proposition. A proposition is simple if it cannot be broken down any further into other component propositions. COMPOUND PROPOSITIONS
Given a proposition, its truth table shows all its possible truth values. LOGICAL OPERATORS
p is denoted by ~p (“not p”) and is defined through its truth table. NEGATION
How is negation denoted? ~p (“not p”)
𝑝 and 𝑞 are denoted by 𝑝 ∧ 𝑞: (𝑝 and 𝑞) and are defined through their truth table. CONJUNCTION
How is conjunction denoted? 𝑝 ∧ 𝑞: (𝑝 and 𝑞)
𝑝 and 𝑞 are denoted by 𝑝 ∨ 𝑞: (𝑝 or 𝑞) and are defined through their truth table. DISJUNCTION
How is disjunction denoted? 𝑝 ∨ 𝑞: (𝑝 or 𝑞)
𝑝 and 𝑞 are denoted by 𝑝 → 𝑞: (If 𝑝, then 𝑞) and are defined through their truth table. CONDITIONAL
How is conditional denoted? 𝑝 → 𝑞: (If 𝑝, then 𝑞)
𝑝 and 𝑞 are denoted by 𝑝 <-> 𝑞 (𝑝 if and only if 𝑞) and are defined through their truth table. BICONDITIONAL
How is biconditional denoted? 𝑝 <-> 𝑞 (𝑝 if and only if 𝑞)
What is the rule for negation? It is opposite from the 'p'.
What is the rule for conjunction? If there is false, then it will be false. unless both true, then it is true.
What is the rule for disjunction? if there is true, then it is true, unless both are false, then it is false.
What is the rule for conditional? dependent on q, if both false then it is true.
What is the rule for biconditional? if there is false, then it is false, unless both true then true and when both false it is true.
Created by: MEOWIE
 

 



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