1. The best definition for the term: Theorem A) A sentence that is true in any model. B) A sentence that can be proven based on only one premise. C) An invalid argument. D) A sentence that can be derived without any premises E) A rule of a natural deduction proof system
1. The best definition for the term: Theorem A) A sentence that is true in any model. B) A sentence that can be proven based on only one premise. C) An invalid argument. D) A sentence that can be derived without any premises E) A rule of a natural deduction proof system
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 37E
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1. The best definition for the term: Theorem
A) A sentence that is true in any model.
B) A sentence that can be proven based on only one premise.
C) An invalid argument.
D) A sentence that can be derived without any premises
E) A rule of a natural deduction proof system
2. the best definition for the term: Natural deduction system
A) A mechanism for creating theorems.
B) A valid argument.
C) Any system for constructing proofs in a formal language.
D) A system for building models of semantic entailment.
E) A proof system with two rules for each logical operator, an introduction rule and an elimination rule.
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