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Topic: Abstraction of actual infinity

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abstraction of actual infinity

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	CATHOLIC ENCYCLOPEDIA: Nature and Attributes of God (Site not responding. Last check: 2007-10-31)
		The metaphysical argument by which unicity, as distinct from infinity, is deduced from self-existence seems to be very obscure, while on the other hand infinity, as distinct from unicity, seems to be clearly implied in self-existence as such.
		Divine immensity means on the one hand that God is necessarily present everywhere in space as the immanent cause and sustainer of creatures, and on the other hand that He transcends the limitations of actual and possible space, and cannot be circumscribed or measured or divided by any spatial relations.
		as it means the actual bestowal of grace and of glory; and also between predestination in the adequate sense, as referring both to grace and to glory, and in the inadequate sense, as referring particularly to one's destination to glory, and abstracting from the grace by which glory is obtained.
	www.newadvent.org /cathen/06612a.htm (5880 words)

	Golden Silence
		It was actually the signal moment that their cruelties were unleashed on the entire world.
		Amen is standing in the mud on a snake with two heads symbolizing infinity and the snake is in mud surrounded by darkness.
		The power of infinity is being manifested; the seed is being transmitted to the world.
	www.tehutionline.com /newpage10.htm (6340 words)

	G.W.F. Hegel -- Social and Political Thought [Internet Encyclopedia of Philosophy] (Site not responding. Last check: 2007-10-31)
		He says that actuality is the unity of "essence and existence" (¶ 142) and argues that this does not rule out the actuality of ideas for they become actual by being realized in external existence.
		The Idea of the State is itself divided into three moments: (a) the immediate actuality of the state as a self-dependent organism, or Constitutional Law; (b) the relation of states to other states in International Law; (c) the universal Idea as Mind or Spirit which gives itself actuality in the process of World-History.
		The monarch is the bearer of the individuality of the state and its sovereignty is the ideality in unity in which the particular functions and powers of the state subsist.
	www.iep.utm.edu /h/hegelsoc.htm (14441 words)

	Hegel's Philosophy of Right: Abstract Right (Site not responding. Last check: 2007-10-31)
		Accordingly this stage is its negative actuality, an actuality contrasted with the real world, only an abstractly self-related actuality — the inherently single will of a subject.
		Remark: Personality begins not with the subject's mere general consciousness of himself as an ego concretely determined in some way or other, but rather with his consciousness of himself as a completely abstract ego in which every concrete restriction and value is negated and without validity.
		Man's chief glory is to be a person, and yet in spite of that the bare abstraction, 'person', is somewhat contemptuous in its very expression.
	www.marxists.org /reference/archive/hegel/works/pr/prabstra.htm (1947 words)

	Intuitionism - Wikipedia, the free encyclopedia
		It has given philosophical support to several schools of philosophy, most notably the Anti-realism of Michael Dummett.
		For more on these sad events see Davis (2000) Chapters 3 and 4: Frege: From Breakthrough to Despair and Cantor: Detour through Infinity.
		See van Heijenoort for the original works and Heijenoort's excellent commentary.
	en.wikipedia.org /wiki/Intuitionism (1359 words)

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