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Relation Quotes

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Relation Quotes

“'Truth' is to be understood as a system of ordered procedures for the production, regulation, distribution, circulation and operation of statements. 'Truth' is linked in a circular relation with systems of power which produce and sustain it, and to effects of power which it induces and which extend it. A 'regime' of truth.”

“The Analytical Engine might act upon other things besides number, were objects found whose mutual fundamental relations could be expressed by those of the abstract science of operations, and which should be also susceptible of adaptations to the action of the operating notation and mechanism of the engine… Supposing, for instance, that the fundamental relations of pitched sounds in the science of harmony and of musical composition were susceptible of such expression and adaptations, the engine might compose elaborate and scientific pieces of music of any degree of complexity or extent.”

“The whole analogy of natural operations furnishes so complete and crushing an argument against the intervention of any but what are termed secondary causes, in the production of all the phenomena of the universe; that, in view of the intimate relations between Man and the rest of the living world; and between the forces exerted by the latter and all other forces, I can see no excuse for doubting that all are co-ordinated terms of Nature's great progression, from the formless to the formed from the inorganic to the organic from blind force to conscious intellect and will.”

“. . . the membership relation for sets can often be replaced by the composition operation for functions. This leads to an alternative foundation for Mathematics upon categories -- specifically, on the category of all functions. Now much of Mathematics is dynamic, in that it deals with morphisms of an object into another object of the same kind. Such morphisms (like functions) form categories, and so the approach via categories fits well with the objective of organizing and understanding Mathematics. That, in truth, should be the goal of a proper philosophy of Mathematics.”

“What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else. Roughly speaking, people know that it deals with numbers, figures, with relations, operations, and that its formal procedures involving axioms, proofs, lemmas, theorems have not changed since the time of Archimedes.”

“The progress of the human race is effected by the operation of two forces which correspond in most respects to what in physics are often called, for want of better terms, the centripetal and centrifugal forces. These are the forces of convergence and divergence, the one tending to concentration of powers and properties, and the other to their separateness or the independence of parts. Socialism and Individualism are to appearance conflicting, though in reality complemental, in their relations to the societary movement.”

“While we destroyed the Centre Party, we have not only brought thousands of priests back into the Church, but to millions of respectable people we have restored their faith in their religion and in their priests. The union of the Evangelical Church in a single Church for the whole Reich, the Concordat with the Catholic Church, these are but milestones on the road which leads to the establishment of a useful relation and a useful co operation between the Reich and the two Confessions.”