Category vs. Index

Difference Between Category and Index
Categorynoun
A group, often named or numbered, to which items are assigned based on similarity or defined criteria.
This steep and dangerous climb belongs to the most difficult category.I wouldn't put this book in the same category as the author's first novel.Indexnoun
An alphabetical listing of items and their location.
The index of a book lists words or expressions and the pages of the book upon which they are to be found.Categorynoun
(mathematics) A collection of objects, together with a transitively closed collection of composable arrows between them, such that every object has an identity arrow, and such that arrow composition is associative.
One well-known category has sets as objects and functions as arrows.Just as a monoid consists of an underlying set with a binary operation "on top of it" which is closed, associative and with an identity, a category consists of an underlying digraph with an arrow composition operation "on top of it" which is transitively closed, associative, and with an identity at each object. In fact, a category's composition operation, when restricted to a single one of its objects, turns that object's set of arrows (which would all be loops) into a monoid.Indexnoun
The index finger; the forefinger.
Categorynoun
a collection of things sharing a common attribute;
there are two classes of detergentsIndexnoun
A movable finger on a gauge, scale, etc.
Categorynoun
a general concept that marks divisions or coordinations in a conceptual scheme
Indexnoun
(printing) A symbol resembling a pointing hand, used to direct particular attention to a note or paragraph.
Indexnoun
That which points out; that which shows, indicates, manifests, or discloses.
Indexnoun
A sign; an indication; a token.
Indexnoun
(linguistics) A type of noun where the meaning of the form changes with respect to the context. E.g., 'Today's newspaper' is an indexical form since its referent will differ depending on the context. See also icon and symbol.
Indexnoun
(economics) A single number calculated from an array of prices or of quantities.
Indexnoun
(science) A number representing a property or ratio, a coefficient.
Indexnoun
(mathematics) A raised suffix indicating a power.
Indexnoun
An integer or other key indicating the location of data e.g. within an array, vector, database table, associative array, or hash table.
Indexnoun
A data structure that improves the performance of operations on a table.
Indexnoun
(obsolete) A prologue indicating what follows.
Indexverb
(transitive) To arrange an index for something, especially a long text.
Indexverb
To inventory, to take stock.
Indexverb
To be indexical for (some situation or state of affairs); to indicate.
Indexnoun
a numerical scale used to compare variables with one another or with some reference number
Indexnoun
a number or ratio (a value on a scale of measurement) derived from a series of observed facts; can reveal relative changes as a function of time
Indexnoun
a mathematical notation indicating the number of times a quantity is multiplied by itself
Indexnoun
an alphabetical listing of names and topics along with page numbers where they are discussed
Indexnoun
the finger next to the thumb
Indexverb
list in an index
Indexverb
provide with an index;
index the bookIndexverb
adjust through indexation;
The government indexes wages and prices