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Possible definitions for logions

legion
Military organization, originally the largest permanent unit in the Roman army. It was the basis of the military system by which imperial Rome conquered and ruled its empire. The early Roman Republic found the Greek phalanx too unwieldy for fragmented fighting in the hills and valleys of central Italy. To replace it the Romans evolved a new tactical system based on small and flexible infantry units called maniples. These were grouped in larger units called cohorts, which ranged from 360 to 600 men, depending on the era. Ten cohorts made up a legion, which moved into battle with four cohorts in the first line and three each in the second and third lines. See also Foreign Legion.


logicism
In the philosophy of mathematics, the thesis that mathematics is derivable from logic. As early as 1666, G. W. Leibniz had conceived of logic as a universal science embracing the principles underlying all others. R. Dedekind in 1888, and especially G. Frege in 1884 and 1893, derived arithmetic from logic. B. Russell propounded the thesis that all of mathematics is reducible to logic alone.


logos
(Greek: "word," "reason," "plan") In Greek philosophy and theology, the divine reason that orders the cosmos and gives it form and meaning. The concept is found in the writings of Heracleitus (6th cent. BC) and in Persian, Indian, and Egyptian philosophical and theological systems as well. It is particularly significant in Christian theology, where it is used to describe the role of Jesus as the principle of God active in the creation and ordering of the cosmos and in the revelation of the divine plan of salvation. This is most clearly stated in the Gospel of John the Apostle, which identifies Christ as the Word (Logos) made flesh.

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