Literary notes about Congruence (AI summary)
The term congruence in literature exhibits a striking duality, functioning both in rigorous, often mathematical, discourse and in more evocative, symbolic realms. In technical discussions, congruence is used to denote spatial equality and measurement—serving as an axiom that undergirds concepts of form-relationship and symmetry, much like its role in geometric treatises where it sets the stage for understanding the properties of space ([1], [2], [3], [4]). In contrast, in more reflective and humanistic writings, congruence describes the harmonious alignment between inner beliefs and outward actions or the delicate balance between self-identity and external expression ([5], [6], [7]). Additionally, it captures the subtle interplay between symbols and what they represent, thereby bridging the gap between abstract thought and tangible reality ([8], [9], [10]).
- But the procedure of measurement presupposes congruence.
— from The Concept of NatureThe Tarner Lectures Delivered in Trinity College, November 1919 by Alfred North Whitehead - I have taken congruence to be the definition of spatial equality by superposition, and shall therefore generally speak of the axiom as Free Mobility.
— from An essay on the foundations of geometry by Bertrand Russell - For example, the nine propositions on congruence in a plane are followed [Pg 65] by nine on congruence in space.
— from The Teaching of Geometry by David Eugene Smith - In modern expositions of the axioms of geometry certain conditions are laid down which the relation of congruence between segments is to satisfy.
— from The Concept of NatureThe Tarner Lectures Delivered in Trinity College, November 1919 by Alfred North Whitehead - Personhood implies living out who we are, demonstrating congruence between beliefs and behaviors, and living the meaning of one's life.
— from Nursing as Caring: A Model for Transforming Practice by Savina O'Bryan Schoenhofer - Congruence means a close match between what you feel and how you think and act.
— from When You Don't Know Where to TurnA Self-Diagnosing Guide to Counseling and Therapy by Steven J. Bartlett - Self-esteem and self-acceptance (and hence congruence) are interrelated.
— from When You Don't Know Where to TurnA Self-Diagnosing Guide to Counseling and Therapy by Steven J. Bartlett - The congruence between them I cal the instrument of the mouth, quhilk, when the eie sees the symbol, utteres the sound.
— from Of the Orthographie and Congruitie of the Britan TongueA Treates, noe shorter than necessarie, for the Schooles by Hume, Alexander, schoolmaster - 1. 1. To wryte orthographicallie ther are to be considered the symbol, the thing symbolized, and their congruence.
— from Of the Orthographie and Congruitie of the Britan TongueA Treates, noe shorter than necessarie, for the Schooles by Hume, Alexander, schoolmaster - Here the question arises, How do concept and intuition, sensuous and rational knowledge, differ, and what is the basis of their congruence?
— from History of Modern PhilosophyFrom Nicolas of Cusa to the Present Time by Richard Falckenberg
