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
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“Realism holds that things known may continue to exist unaltered when they are not known, or that things may pass in and out of the cognitive relation without prejudice to their reality, or that the existence of a thing is not correlated with or dependent upon the fact that anybody experiences it, perceives it, conceives it, or is in any way aware of it.”
—William Pepperell Montague (1842–1910)
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“Things perceived by the senses are immediately perceived by the senses; and things immediately perceived by the senses are ideas; and ideas cannot exist without the mind, their existence therefore consists in being perceived; when therefore they are actually perceived, there can be no doubt of their existence.”
—George Berkeley (1685–1753)