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Quote: a number sequence is a sequence of elements, each with a unique successor and reachable from '1'
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Topic:
number as a progression for counting and 1-1 relations
Topic:
mathematical proof
Quotation Skeleton
What are the mutually independent fundamental properties of … which all others follow? … (1) The number Sequence N is a system … (2) … to each definite number n there corresponds a … [This defines a mapping \phi] … (3) Distinct numbers a and b are succeeded … (4) Not every number is a successor n' … (5) And, in particular, the number 1 is … [p. 101] an element n of S [all sequences] belongs to the sequence N if and only if n … the element 1 belongs to K and (ii) … … of all those chains K (in S) to … The famous method of proof by induction rests … Google-1 Google-2
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Additional Titles
Quote: proof by induction rests upon the notion of a chain, i.e., a sequence of numbers
Topic: number as a progression for counting and 1-1 relations (22 items)
Topic: mathematical proof (23 items)