Use Euler circle to test the validity of the following arguments. 1. All prime numbers are integers. π is not an integer. Therefore, a π is not a prime number. 2. All lions are fierce. Some lions do not drink coffee. Therefore, some creatures that drink coffee are not fierce. 3. Some even numbers are positive. Some positive numbers are rational. Therefore, some even numbers are rational.
Use Euler circle to test the validity of the following arguments. 1. All prime numbers are integers. π is not an integer. Therefore, a π is not a prime number. 2. All lions are fierce. Some lions do not drink coffee. Therefore, some creatures that drink coffee are not fierce. 3. Some even numbers are positive. Some positive numbers are rational. Therefore, some even numbers are rational.
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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Use Euler circle to test the validity of the following arguments.
1. All prime numbers are integers. π is not an integer. Therefore, a π is not a prime number.
2. All lions are fierce. Some lions do not drink coffee. Therefore, some creatures that drink coffee are not fierce.
3. Some even numbers are positive. Some positive numbers are rational. Therefore, some even numbers are rational.
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