Theory and Problems in Discrete Mathematics (29)

Theory and Problems in Discrete Mathematics (29) - I...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
I- V.'.RVy(-x = y - -y = x) Vx(Fx -+ Gx), -Fa t 3x -x = a 3x3yLxy I- 3x3y(Lxy & -x = y) t VxVy ((Fxy & x = y) - Fyx) VI Formalize each and every of the following arguments, using the interpretation given under. Then construct a refutation tree to examine whether or not the type of the argument is legitimate or invalid. Image Interpretation Names P r (10) 'Fa' is a wff, via rule 1; and considering 'h = a' is a wff via the guideline for identification, '-6 = a' is a wff, via rule 2. Accordingly '(Fa* -b = a)' is a wff, by means of rule 3, whence two functions of rule four it follows that 'VxVy(Fx - -y = x)' is a wff. I11 (5) real (10) False (15) False (20) proper IV (5) This argument is invalid. Any model in which 'I;' designates a nonempty class whose members do not include the interpretation of 'a' makes the premise '3xFx' proper and the conclusion 'Fa' false. PREDICATE logic 167
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
If M is a model wherein the premise is correct, then there exists at the least one a-variant M' of M wherein '3y(Ma & new york)' is correct (with the aid of situation (5)). For that
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern