PcumP_Ravenclaw
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Hi all,
I Dont understand a principle from beardon, Algebra and Geometery chapter 2 real numbers...
Please answer
In the principle of Induction what is 'm'? and what is 'm+1'? are m elements of A how can m+1 also be an element of A?? if A is a subset of natural numbers how it be all natural numbers in the end??
Thx..
I Dont understand a principle from beardon, Algebra and Geometery chapter 2 real numbers...
Please answer
The Well-Ordering Principle Any non-empty subset of N has a smallest
member.
This apparently obvious result justifies the use of induction.
The Principle of Induction I Suppose that A ⊂ N, 1 ∈ A, and for every m,
m ∈ A implies that m + 1 ∈ A. Then A = N.
In the principle of Induction what is 'm'? and what is 'm+1'? are m elements of A how can m+1 also be an element of A?? if A is a subset of natural numbers how it be all natural numbers in the end??
Thx..