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Questions and Answers
How is the argument 'If Bush won we’re all going to die' symbolized?
How is the argument 'If Bush won we’re all going to die' symbolized?
- b↔d
- b&d
- b⊻d
- b→d (correct)
Which symbol represents 'but' when symbolizing statements?
Which symbol represents 'but' when symbolizing statements?
- |
- ~
- #
- & (correct)
What is the symbolization for the statement 'Tina is tall and Sarah is tall'?
What is the symbolization for the statement 'Tina is tall and Sarah is tall'?
- ~(p&q)
- p∨q
- p→q
- p&q (correct)
What does the symbol '' represent in propositional logic?
What does the symbol '' represent in propositional logic?
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In propositional logic, what does the symbol '↔' represent?
In propositional logic, what does the symbol '↔' represent?
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Study Notes
Symbolization in Propositional Logic
- The argument 'If Bush won we’re all going to die' is symbolized as a conditional statement, typically represented as p → q, where p is the antecedent (Bush won) and q is the consequent (we're all going to die).
Logical Operators
- The symbol that represents 'but' when symbolizing statements is ∧ (and).
Conjunction in Propositional Logic
- The statement 'Tina is tall and Sarah is tall' is symbolized as T ∧ S, where T represents 'Tina is tall' and S represents 'Sarah is tall'.
Material Implication
- The symbol '→' () represents material implication, where p → q is read as "p implies q" or "if p, then q".
Bi-Conditional Statements
- The symbol '↔' represents a bi-conditional statement, which is read as "if and only if" or "is equivalent to", and is symbolized as p ↔ q.
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