Asked by shiva paddam on May 10, 2024
Verified
The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. [(Y⋅A) ∨∼N]⊃(C⋅T) (C⋅T) ⊃(I∨N) ‾[(Y⋅A) ∨∼N]⊃(I∨N) \begin{array} { l } { [ ( \mathrm { Y } \cdot \mathrm { A } ) \vee \sim \mathrm { N } ] \supset ( \mathrm { C } \cdot \mathrm { T } ) } \\\underline{( \mathrm { C } \cdot \mathrm { T } ) \supset ( \mathrm { I } \vee \mathrm { N } ) } \\{ [ ( \mathrm { Y } \cdot \mathrm { A } ) \vee \sim \mathrm { N } ] \supset ( \mathrm { I } \vee \mathrm { N } ) }\end{array}[(Y⋅A) ∨∼N]⊃(C⋅T) (C⋅T) ⊃(I∨N) [(Y⋅A) ∨∼N]⊃(I∨N)
A) MP
B) MT
C) HS
D) DS
E) Conj
Inference Forms
Patterns of reasoning where specific statements lead logically to a conclusion.
MP
In logic, MP refers to Modus Ponens, a form of argument that if a conditional statement ('If P then Q') is accepted, and P is affirmed, then Q must also be affirmed.
MT
An abbreviation or shorthand for Modus Tollens, a logical argument form.
- Familiarize oneself and detect the five primary logic forms: Modus Ponens (MP), Modus Tollens (MT), Hypothetical Syllogism (HS), Disjunctive Syllogism (DS), and Conjunction (Conj).
Verified Answer
GF
Gracy FoersterMay 14, 2024
Final Answer :
C
Explanation :
This argument is an instance of Hypothetical Syllogism (HS), which involves three statements: two conditionals and a conclusion that connects the antecedent of the first conditional with the consequent of the second conditional.
Learning Objectives
- Familiarize oneself and detect the five primary logic forms: Modus Ponens (MP), Modus Tollens (MT), Hypothetical Syllogism (HS), Disjunctive Syllogism (DS), and Conjunction (Conj).