What flaw, if any, does the following logic have? The colour of every horse is the same. Induction based on the number of horses provides the proof. The induction's foundation is simple: If there is only one horse, it is obviously that horse's own colour. Let's say there are n horses, numbered from 1 to n. According to the induction hypothesis, all of the horses have the same color—let's say black. Horse 2 in particular is black. Horses 2 through n have the same colour, according to the induction hypothesis as well. Horses 2 through n and m must all be black as horse 2 is. As a result, the horses are all the same colour.
What flaw, if any, does the following logic have? The colour of every horse is the same. Induction based on the number of horses provides the proof. The induction's foundation is simple: If there is only one horse, it is obviously that horse's own colour. Let's say there are n horses, numbered from 1 to n. According to the induction hypothesis, all of the horses have the same color—let's say black. Horse 2 in particular is black. Horses 2 through n have the same colour, according to the induction hypothesis as well. Horses 2 through n and m must all be black as horse 2 is. As a result, the horses are all the same colour.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
What flaw, if any, does the following logic have? The colour of every horse is the same. Induction based on the number of horses provides the proof. The induction's foundation is simple: If there is only one horse, it is obviously that horse's own colour. Let's say there are n horses, numbered from 1 to n. According to the induction hypothesis, all of the horses have the same color—let's say black. Horse 2 in particular is black. Horses 2 through n have the same colour, according to the induction hypothesis as well. Horses 2 through n and m must all be black as horse 2 is. As a result, the horses are all the same colour.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
