Existence
Existence can be seen by an explicit construction of . We will use the notation to denote the multiplicative inverse of, it is defined exactly when and are coprime; the following construction explains why the coprimality condition is needed.
Read more about this topic: Chinese Remainder Theorem
Famous quotes containing the word existence:
“Perfect present has no existence in our consciousness. As I said years ago in Erewhon, it lives but upon the sufferance of past and future. We are like men standing on a narrow footbridge over a railway. We can watch the future hurrying like an express train towards us, and then hurrying into the past, but in the narrow strip of present we cannot see it. Strange that that which is the most essential to our consciousness should be exactly that of which we are least definitely conscious.”
—Samuel Butler (1835–1902)
“It is because everything is relative
That we shall never see in that sphere of pure wisdom and
Entertainment much more than groping shadows of an incomplete
Former existence so close it burns like the mouth that
Closes down over all your effort like the moment
Of death”
—John Ashbery (b. 1927)
“God is the efficient cause not only of the existence of things, but also of their essence.
Corr. Individual things are nothing but modifications of the attributes of God, or modes by which the attributes of God are expressed in a fixed and definite manner.”
—Baruch (Benedict)