Concept
Group (mathematics)
Overview
algebraic set with an invertible, associative internal operation admitting a neutral element
Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).
Possible passages
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We must conclude that the psychology of the group is the oldest human psychology; what we have isolated as individual psychology, by neglecting all traces of the group, has only since come into prominence out of the old group psychology, by a gradual process which may still, perhaps, be described as incomplete. We shall later venture upon an attempt at specifying the point of departure of this development. Further…
Sigmund Freud, Group Psychology and The Analysis of The Ego
The chapter “THE GROUP AND THE PRIMAL HORDE” is titled for Group; names Group several times.
Sec. 2. KINSHIP AND HOUSEHOLD GROUPS =1. The Kinship Group.=--The kinship group is a body of persons who conceive of themselves as sprung from one ancestor, and hence as having in their veins one blood. It does not matter for our study whether each group has actually sprung from a single ancestor.
John Dewey, Ethics
The chapter “EARLY GROUP LIFE” is titled for Group; names Group several times.
They suffice therefore to prove that these bodies move in accordance with the Euclidean group, or at least that they do not move according to the Lobachevskian group. That they are compatible with the Euclidean group is easy to see. For they could be made if the body [alpha][beta][gamma] was a rigid solid of our ordinary geometry presenting the form of a right-angled triangle, and if the points _ABCDEFGH_ were the…
Henri Poincaré, The Foundations of Science
Names Group several times; states what Group is.
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Place in the tradition
Part of First-order logic.