Asked by Miranda Peacock on May 03, 2024
Verified
The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. (T⋅H) ∨∼I( \mathrm { T } \cdot \mathrm { H } ) \vee \sim \mathrm { I }(T⋅H) ∨∼I
∼∼I\sim\sim \mathrm { I }∼∼I
T⋅H\mathrm { T } \cdot \mathrm { H }T⋅H
A) MP
B) MT
C) HS
D) DS
E) Conj
Inference Forms
Structured patterns of reasoning or argumentation that derive conclusions from premises based on logical principles.
MP
Abbreviation for "Modus Ponens," a logical argument form where from premises 'If P then Q' and 'P,' one can conclude 'Q.'
- Comprehend and recognize the core five forms of inference, namely Modus Ponens (MP), Modus Tollens (MT), Hypothetical Syllogism (HS), Disjunctive Syllogism (DS), and Conjunction (Conj).
- Identify the use of double negation and its significance in deductive reasoning.
Verified Answer
SV
Sofia ValentinaMay 05, 2024
Final Answer :
D
Explanation :
This argument is an instance of Disjunctive Syllogism (DS). Disjunctive Syllogism is a form of logical argument that uses a disjunction ( P∨QP \vee QP∨Q ) and the negation of one of the disjuncts ( ∼P\sim P∼P or ∼Q\sim Q∼Q ) to conclude the other disjunct. In this case, the argument starts with a disjunction (T⋅H)∨∼I(T \cdot H) \vee \sim I(T⋅H)∨∼I and the negation of one of the disjuncts ∼∼I\sim\sim I∼∼I , which simplifies to III , to conclude T⋅HT \cdot HT⋅H .
Learning Objectives
- Comprehend and recognize the core five forms of inference, namely Modus Ponens (MP), Modus Tollens (MT), Hypothetical Syllogism (HS), Disjunctive Syllogism (DS), and Conjunction (Conj).
- Identify the use of double negation and its significance in deductive reasoning.