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There is a corresponding greatest-lower-bound property; an ordered set possesses the greatest-lower-bound property if and only if it also possesses the least-upper-bound property; the least-upper-bound of the set of lower bounds of a set is the greatest-lower-bound, and the greatest-lower-bound of the set of upper bounds of a set is the least ...
The theological virtues are those named by Paul the Apostle in 1 Corinthians 13: "And now faith, hope, and love abide, these three; and the greatest of these is love." [5] The third virtue is also commonly referred to as "charity", as this is how the influential King James Bible translated the Greek word agape.
In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor(x). Similarly, the ceiling function maps x to the least integer greater than or equal to x, denoted ⌈x⌉ or ceil(x). [1]
Perfect is the enemy of good is an aphorism that means insistence on perfection often prevents implementation of good improvements. Achieving absolute perfection may be impossible; one should not let the struggle for perfection stand in the way of appreciating or executing on something that is imperfect but still of value.
Its opposite is the sin of despair. [2] Charity is a Divinely infused virtue, inclining the human will to cherish God for his own sake above all things, and man for the sake of God. To love God is to wish Him all honour and glory and every good, and to endeavour, as far as one can, to obtain it for Him.
The best argument for rule-consequentialism is that it does a better job than its rivals of matching and tying together our moral convictions, as well as offering us help with our moral disagreements and uncertainties. Derek Parfit described Hooker's book as the "best statement and defence, so far, of one of the most important moral theories." [18]
Erich Kadlec defends negative utilitarianism and addresses the benevolent world-exploder argument (partially) as follows: "[R. N. Smart] also dispenses with the generally known fact that all people (with a few exceptions in extreme situations) like to live and would consider being killed not a benefit but as the greatest evil done to them." [44]
The best action is the one that procures the greatest happiness to the greatest numbers, and the worst is the one that causes the most misery. In the first three editions of the book, Hutcheson included various mathematical algorithms "to compute the Morality of any Actions." In doing so, he echoed the later-proposed hedonic calculus of Bentham.