Back to Math in Society

Describing and Critiquing Arguments

Separating premises from conclusions, telling inductive reasoning from deductive, and testing validity and soundness with set diagrams.

Math in Society, Describing and Critiquing Arguments

Status
FlagsLoading your progress…

5 exercises

Exercise 1

Write whether the argument described is inductive or deductive:

  1. The first five terms of the sequence were all odd, therefore the sixth term will also be odd.

  2. My dog is afraid of loud noises. Today is the fourth of July, so there will be fireworks. My dog will be afraid today.

2.5

Exercise 4

Rewrite each of the following arguments in their “premise, premise, conclusion” form, and determine whether the argument is inductive or deductive. If the argument is inductive, determine its strength. If the argument is deductive, use sets to illustrate and determine the validity of the argument, and state whether the argument is valid and whether it is sound.

Every day for the last year, a plane…

2.5

Exercise 5

Rewrite each of the following arguments in their “premise, premise, conclusion” form, and determine whether the argument is inductive or deductive. If the argument is inductive, determine its strength. If the argument is deductive, use sets to illustrate and determine the validity of the argument, and state whether the argument is valid and whether it is sound.

Kiran collected data on the salaries…

2.5

Exercise 10

Rewrite each of the following arguments in their “premise, premise, conclusion” form, and determine whether the argument is inductive or deductive. If the argument is inductive, determine its strength. If the argument is deductive, use sets to illustrate and determine the validity of the argument, and state whether the argument is valid and whether it is sound.

Over the course of a year, data was c…

2.5

Exercise 12

Rewrite each of the following arguments in their “premise, premise, conclusion” form, and determine whether the argument is inductive or deductive. If the argument is inductive, determine its strength. If the argument is deductive, use sets to illustrate and determine the validity of the argument, and state whether the argument is valid and whether it is sound.

The first few terms of the sequence a…

2.5

Adapted from Math in Society © 2018–2024 Portland Community College Math Instructors. Licensed under CC BY-SA 4.0. Source: Math in Society. Imported at revision 68ee43c.