0 like 0 dislike
0 like 0 dislike
Proof By Induction - Base Case of 0

3 Answers

0 like 0 dislike
0 like 0 dislike
Depends how the natural numbers are defined. By the Peano Axioms, they do include 0. For the validity of the proof, it doesn't matter. In theory, you could use any integer as a base case and prove the statement for all integers bigger than or equal to it as long as the induction step is correct
0 like 0 dislike
0 like 0 dislike
The base case is performed on the first natural number. You can define the natural numbers starting at 0, but you can also define the natural numbers starting at 1.
0 like 0 dislike
0 like 0 dislike
What if the claim is true for n>=-1?

Related questions

0 like 0 dislike
0 like 0 dislike
3 answers
RashidAbdalla asked Jun 21
[The article](https://www.reddit.com/r/statistics/comments/vh2ecs/analysis_of_russian_vaccine_results_suggests_they/) [Twitter summary](https://twitter.com/K_Sheldrick/st...
RashidAbdalla asked Jun 21
0 like 0 dislike
0 like 0 dislike
1 answer
MSR_Tlse asked Jun 21
Are the S3/S4 Edexcel Further Maths units useful to become an actuary? Topics include sampling, unbiased and biased estimators, confidence intervals and significance test...
MSR_Tlse asked Jun 21
0 like 0 dislike
0 like 0 dislike
20 answers
balkissoon asked Jun 21
Considering leaving the actuarial profession. What are some interesting fields you've heard of former actuaries going into? How did they get into the new field?
balkissoon asked Jun 21
0 like 0 dislike
0 like 0 dislike
9 answers
HilaryKHarper asked Jun 21
Has anyone successfully guessed on like half of the questions on an exam and still passed?
HilaryKHarper asked Jun 21
0 like 0 dislike
0 like 0 dislike
0 answers
RyanWCTV asked Jun 21
Range of two Discrete Random Variables
RyanWCTV asked Jun 21

24.8k questions

103k answers

0 comments

33.7k users

OhhAskMe is a math solving hub where high school and university students ask and answer loads of math questions, discuss the latest in math, and share their knowledge. It’s 100% free!