# I need to give formal proofs with first-order logic and translate English to FOL.

Anonymous
timer Asked: Dec 13th, 2018

Question description

In each of the following, I need to assess whether the argument is valid. If it is, I need to give a formal proof with first-order logic. You may not use AnaCon nor TautCon. You must also simplify Modus Tollens and Modus Ponens, if necessary.

1. ¬∀x (Cube(x) ∧ Small(x)) from the premise ¬∀x (Cube(x).
2. ∃x ¬Cube(x) from the premises ∀x((Cube(x) ∧ Large(x)) → FrontOf(x,a)) and ∃x(Large(x) ∧ ¬FrontOf(x,a))
3. ∀x∃y Smaller(x, y) from the premise ∃y∀x Smaller (x, y)

Second, I need to translate the sentences from English to first-order logic (Translation 1 file), and from first-order logic to English (Translation 2 file).

Studypool has helped 1,244,100 students
flag Report DMCA

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors