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The infinity of God includes both his eternity and his immensity. Isaiah 40:28 says that "Yahweh is the everlasting God," [31] while Solomon acknowledges in 1 Kings 8:27 that "the heavens, even the highest heaven, cannot contain you". [32] Infinity permeates all other attributes of God: his goodness, love, power, etc. are all considered to be ...
Cancelling 0 from both sides yields =, a false statement. The fallacy here arises from the assumption that it is legitimate to cancel 0 like any other number, whereas, in fact, doing so is a form of division by 0. Using algebra, it is possible to disguise a division by zero [17] to obtain an invalid proof. For example: [18]
The mathematical meaning of the term "actual" in actual infinity is synonymous with definite, completed, extended or existential, [13] but not to be mistaken for physically existing. The question of whether natural or real numbers form definite sets is therefore independent of the question of whether infinite things exist physically in nature .
Omnipotence, they say, does not mean that God can do anything at all but, rather, that he can do anything that is logically possible; he cannot, for instance, make a square circle. Likewise, God cannot make a being greater than himself, because he is, by definition, the greatest possible being.
Cantor said: The actual infinite was distinguished by three relations: first, as it is realized in the supreme perfection, in the completely independent, extra worldly existence, in Deo, where I call it absolute infinite or simply absolute; second to the extent that it is represented in the dependent, creatural world; third as it can be conceived in abstracto in thought as a mathematical ...
The aleph numbers differ from the infinity commonly found in algebra and calculus, in that the alephs measure the sizes of sets, while infinity is commonly defined either as an extreme limit of the real number line (applied to a function or sequence that "diverges to infinity" or "increases without bound"), or as an extreme point of the ...
[22] Knuth (1992) contends more strongly that 0 0 "has to be 1"; he draws a distinction between the value 0 0, which should equal 1, and the limiting form 0 0 (an abbreviation for a limit of f(t) g(t) where f(t), g(t) → 0), which is an indeterminate form: "Both Cauchy and Libri were right, but Libri and his defenders did not understand why ...
The first Bible in English to use both chapters and verses was the Geneva Bible published shortly afterwards by Sir Rowland Hill [21] in 1560. These verse divisions soon gained acceptance as a standard way to notate verses, and have since been used in nearly all English Bibles and the vast majority of those in other languages.
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