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In constructive mathematics, the limited principle of omniscience (LPO) and the lesser limited principle of omniscience (LLPO) are axioms that are nonconstructive but are weaker than the full law of the excluded middle. They are used to gauge the amount of nonconstructivity required for an argument, as in constructive reverse mathematics.
It provides a challenge to the knowability thesis, which states that every truth is, in principle, knowable. The paradox states that this assumption implies the omniscience principle, which asserts that every truth is known. Essentially, Fitch's paradox asserts that the existence of an unknown truth is unknowable.
Natura non facit saltus [1] [2] (Latin for "nature does not make jumps") has been an important principle of natural philosophy.It appears as an axiom in the works of Gottfried Leibniz (New Essays, IV, 16: [2] "la nature ne fait jamais des sauts", "nature never makes jumps"), one of the inventors of the infinitesimal calculus (see Law of Continuity).
According to these theologians (Norman Geisler and William Lane Craig), this law is not a law above God that he assents to but, rather, logic is an eternal part of God's nature, like his omniscience or omnibenevolence.
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.
A demonstration of the possibility of omniscience through apprehending the selfless universal nature of all knowables, by examining what it means to be ignorant and the nature of mind and awareness. A demonstration of the total omniscience where all individual characteristics (svalaksana) are available to the omniscient being.
Other means of reconciling God's omniscience with human free will have been proposed. Some have attempted to redefine or reconceptualize free will: God can know in advance what I will do, because free will is to be understood only as freedom from coercion , and anything further is an illusion.
Locke describes the state of nature and civil society to be opposites of each other, and the need for civil society comes in part from the perpetual existence of the state of nature. [7] This view of the state of nature is partly deduced from Christian belief (unlike Hobbes, whose philosophy is not dependent upon any prior theology).