Philosophical Logic 2. Here is a model:Domain: {1,2,3,4}B: {3,4}, C {1,4}, F: 0Make a proposition that is false in this model by filling in each of the blank spaces of– z((Bz — — 2) →y-Fy)with one symbol of MPL. Explain why the proposition you made is false in the givenmodel.

Answered: 2. Here is a model: Domain: {1,2,3,4}…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Philosophical Logic

2. Here is a model:
Domain: {1,2,3,4}
B: {3,4}, C {1,4}, F: 0
Make a proposition that is false in this model by filling in each of the blank spaces of
– z((Bz — — 2) →y-Fy)
with one symbol of MPL. Explain why the proposition you made is false in the given
model.

Expert Solution

Step 1: Constructing the Proposition In this step, we constructed the proposition using the provided .

z((Bz∧z) → ¬( ∨F y))

We used "_z" to indicate that this proposition is quantified over a domain consisting of the elements {1, 2, 3, 4}."Bz" represents the set B, and "Bz∧z" means the element z is in the set B and z itself."→" represents logical implication."¬" represents logical negation (NOT)."_ ∨F y" indicates that either an element from the domain or the set F (which is an empty set in this model) is involved in a logical OR operation