PROPOSITIONAL LOGIC Flashcards
(19 cards)
What are elementary propositions?
Declarative sentences that are either true or false
Examples include factual statements like ‘Valletta is the capital city of Malta’ (True) and ‘2 + 6 = 10’ (False).
Give an example of a non-elementary proposition.
What is the time?
This is a question and does not state anything factual.
What are complex propositions?
Propositions formed by combining two or more elementary propositions using logical junctors.
What are logical junctors?
Terms used to join propositions together, such as ‘not’, ‘and’, ‘either…or’, ‘if…then’, and ‘if and only if’.
What does the negator represent?
The negation of an elementary proposition by inserting ‘not’.
What is the purpose of the conjunctive logical junctor?
To join elementary propositions by inserting ‘and’ between them.
What does the adjunctive logical junctor represent?
Combines elementary propositions by inserting ‘or’ between them.
What does the disjunctive logical junctor express?
Combines elementary propositions by inserting ‘either…or’ between them.
What is the function of the subjunctive logical junctor?
Combines elementary propositions by inserting ‘if…then’ between them.
What does the bi-subjunctive logical junctor indicate?
Combines elementary propositions by inserting ‘if and only if’ between them.
Fill in the blank: The negator is represented as _______.
¬
Fill in the blank: The conjunctive junctor is represented as _______.
∧
Fill in the blank: The adjunctive junctor is represented as _______.
v
Fill in the blank: The disjunctive junctor is represented as _______.
˽
Fill in the blank: The subjunctive junctor is represented as _______.
→
Fill in the blank: The bi-subjunctive junctor is represented as _______.
↔
True or False: A command is considered an elementary proposition.
False
True or False: The statement ‘2 + 6 = 10’ is an elementary proposition.
False
What is the role of letters of the alphabet in constructive logic?
To represent elementary and complex propositions.
