MATH LOGIC: First-Order Logic/ Predicate Logic Transcribe the following English sentence into formula: "Some dogs are bigger than all cats, but no cats are bigger than all dogs."
Added by Jose M.
Step 1
Step 1: Let X denote dogs and Y denote cats. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Nick Johnson and 92 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Predicate Logic using Universe of Discourse (UoD). Instructions: 1. First, translate the statement into a predicate logic formula. 2. Second, apply the NEGATION operator to the predicate logic formula from step 1 as much as possible. 3. Third, translate the predicate logic formula back to natural language. "Simon and Tony are the team captains, but not both.
Madhur L.
Discrete Math -- Formalize the following argument by using the given predicates and then rewriting the argument as a numbered sequence of statements. Identify each statement as either a premise, or a conclusion that follows according to a rule of inference from previous statements. In that case, state the rule of inference and refer by number to the previous statements that the rule of inference used. Dogs bark at cats. Max is a dog. Moonbeam is a cat. Therefore, Max barks at Moonbeam. Predicates: B(x,y)=”x barks at y”. D(x) = “x is a dog”. C(x) =”x is a cat”. The common domain of discourse is all animals.
Adi S.
Translate each of these statements into logical expressions in three different ways by varying the domain and by using predicates with one and with two variables. a) A student in your school has lived in Vietnam. b) There is a student in your school who cannot speak Hindi. c) A student in your school knows Java, Prolog, and C++. d) Everyone in your class enjoys Thai food. e) Someone in your class does not play hockey.
The Foundations: Logic and Proofs
Predicates and Quantifiers
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD