December 22, 2014

Homework Help: Introduction to logic

Posted by Tim on Friday, February 27, 2009 at 10:25pm.

I need help on Quantifier logic problems?
Using the symbolization key given, symbolize each sentence in QL.

Universal Discourse: animals
Dx: x is a puppy
Hx: x is lost
Tx: is a Terrier
Fxy: x can run faster than y
r: Tim

1.No puppy can run faster than Tim.
2. No animal is faster than itself
3. Some puppies are Terriers and some are not.
4. There is a puppy who is not a Terrier but is faster than any Terrier
5. For every puppy, there is some animal that is faster.

Here is my attempt:I'm uncertain about question 1 and 4 and I need more clarification on those.
1. ~∀x(Dx --> Frx)
2. ~∃xFxx
3. ∃x[(Dx & Tx) & (Dx & ~Tx)]
4. ∃x[(Dx & ~Tx) & ∀yFxy]
5. x(Dx--> ∃yFxy)

Answer this Question

First Name:
School Subject:

Related Questions

discrete math - Express the quantification: Existential(!)x P(x) using universal...
Logic - Are there advantages of modern symbolic logic over classical logic (...
discrete mathematics - problem has to do with three valued logic, ie the values ...
Phil103 Informal Logic - 1. Question : "~ P v Q" is best read as Student Answer...
Programming Logic - How do I write case logic pseudocode and visual logic nested...
Logic and Design - I need help with pseudocode, and any help regarding forming ...
PHI103: Informal Logic - 1) In the truth table for an invalid argument, Student ...
logic - ic Logic Write two arguments in English, one in the form of modus ponens...
Informal Logic - Write two arguments in English,one in the form of modus poens ...
Phi103 - explain what logic can and cannot do. In other words, what kinds of ...