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In graph theory terminology, this is called finding the longest possible induced path in a hypercube; it can be viewed as a special case of the induced subgraph isomorphism problem. There is a similar problem of finding long induced cycles in hypercubes, called the coil-in-the-box problem.
An induced path is sometimes called a snake, and the problem of finding long induced paths in hypercube graphs is known as the snake-in-the-box problem. Similarly, an induced cycle is a cycle that is an induced subgraph of G ; induced cycles are also called chordless cycles or (when the length of the cycle is four or more) holes .
In graph theory and theoretical computer science, the longest path problem is the problem of finding a simple path of maximum length in a given graph.A path is called simple if it does not have any repeated vertices; the length of a path may either be measured by its number of edges, or (in weighted graphs) by the sum of the weights of its edges.
The early version of "deny evil" is called the "privation theory of evil", so named because it described evil as a form of "lack, loss or privation". One of the earliest proponents of this theory was the 2nd-century Clement of Alexandria who, according to Joseph Kelly, [ 65 ] stated that "since God is completely good, he could not have created ...
Epicurus was not an atheist, although he rejected the idea of a god concerned with human affairs; followers of Epicureanism denied the idea that there was no god. While the conception of a supreme, happy and blessed god was the most popular during his time, Epicurus rejected such a notion, as he considered it too heavy a burden for a god to have to worry about all the problems in the world.
God could have created a world without the possibility of evil, but he willed to create the world in a "state of journeying" to its consummation (the time when evil will no longer exist). [75] God could have created beings without the possibility of committing sin, but he willed to create free beings, e.g., beings that have free-will and must ...
According to the cosmology of this Gnostic sect, the world is encapsulated by the Leviathan, in form of a dragon-shaped archon, biting its own tail (ouroboros). Generating the intrinsic evil in the entire universe, the Leviathan separates the lower world, governed by the Archons, from the realm of God. [53]
Kant believed that human beings naturally have a tendency to be evil. He explains radical evil as corruption that entirely takes over a human being and leads to desires acting against the universal moral law. The outcome of one's natural tendency, or innate propensity, towards evil are actions or "deeds" that subordinate the moral law.