Concept
Sequence
Overview
ordered list of the same type of elements (finite or infinite)
Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).
Possible passages
Found by search and not yet checked by a person; they may only mention the idea in passing.
The answer to this is, that it is experience itself which teaches us that one uniformity of sequence is conditional and another unconditional. When we judge that the succession of night and day is a derivative sequence, depending on something else, we proceed on grounds of experience. It is the evidence of experience which convinces us that day could equally exist without being followed by night, and that night…
John Stuart Mill, A System of Logic, Ratiocinative and Inductive
Names Sequence several times; states what Sequence is.
Not only are the laws of more immediate sequence into which the law of a remote sequence is resolved, laws of greater generality than that law is, but (as a consequence of, or rather as implied in, their greater generality) they are more to be relied on; there are fewer chances of their being ultimately found not to be universally true. From the moment when the sequence of A and C is shown not to be immediate, but…
John Stuart Mill, A System of Logic
Names Sequence several times; states what Sequence is.
An abstractive hierarchy is called ‘finite’ if it stops at a finite grade of complexity. It is called ‘infinite’ if it includes members belonging respectively to all degrees of complexity. It is to be noted that the base of an abstractive hierarchy may contain any number of members, finite or infinite. Further, the infinity of the number of the members of the base has nothing to do with the question as to whether…
Alfred North Whitehead, Science and the modern world
States what Sequence is.
Related ideas
- Formal language
- Integer
- Function (mathematics)
- Mathematics
- Group (mathematics)
- Mathematical object
- Rational number
- Real number
- Natural number
- Number theory
- Set (mathematics)
- Topology
- Topological space
- Bit
- Mathematical analysis
- Cantor's diagonal argument
- Computer science
- Complex number
- Continuous function
- Element of a set
- Computer memory
- Range of a function
Opposing perspectives
Place in the tradition
Part of Outline of logic.