In mathematics, an equivalence relation is a relation that, loosely speaking, partitions a set so that every element of the set is a member of one and only one cell of the partition. Two elements of the set are considered equivalent (with respect to the equivalence relation) if and only if they are elements of the same cell. The intersection of any two different cells is empty; the union of all the cells equals the original set.
Read more about Equivalence Relation: Notation, Definition, Connections To Other Relations, Well-definedness Under An Equivalence Relation, Fundamental Theorem of Equivalence Relations, Comparing Equivalence Relations, Generating Equivalence Relations, Algebraic Structure, Equivalence Relations and Mathematical Logic, Euclidean Relations
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“The psychoanalysis of individual human beings, however, teaches us with quite special insistence that the god of each of them is formed in the likeness of his father, that his personal relation to God depends on his relation to his father in the flesh and oscillates and changes along with that relation, and that at bottom God is nothing other than an exalted father.”
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