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Cosmological argument: Difference between revisions
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Therefore an infinite temporal regress of events cannot exist.<ref>Bruce L. Gordon and William A. Dembski, ''The Nature of Nature: Examining the Role of Naturalism in Science'' (Intercollegiate Studies Institute 2011), pg. 905 </ref>|}} | Therefore an infinite temporal regress of events cannot exist.<ref>Bruce L. Gordon and William A. Dembski, ''The Nature of Nature: Examining the Role of Naturalism in Science'' (Intercollegiate Studies Institute 2011), pg. 905 </ref>|}} | ||
* An actual infinite is a collection that has an actually infinite number of members. The number of its member is greater than any other natural number (0,1,2,3 etc). It is not growing toward infinity, it is infinite. There literally exists an actually infinite number of things in the collection. This is irrational | * An actual infinite is a collection that has an actually infinite number of members. The number of its member is greater than any other natural number (0,1,2,3 etc). It is not growing toward infinity, it is infinite. There literally exists an actually infinite number of things in the collection. This is irrational or presents logical impossibilities like "subtracting identical quantities from identical quantities and finding non-identical differences."<ref>Bruce L. Gordon and William A. Dembski, ''The Nature of Nature: Examining the Role of Naturalism in Science'' (Intercollegiate Studies Institute 2011), pg. 906</ref> This is why within transfinite arithmetic such procedures are prohibited.<ref>[http://www.rfmedia.org/RF_audio_video/Defender_podcast/20040509CosmologicalArgumentPart2.mp3 Cosmological Argument Part 2] By William Lane Craig</ref> | ||
* Potential infinite - Collection is at every point finite, but always growing to infinity as a limit. It is indefinite, finite in any point in time, but is always growing toward infinity but never reaching it. Potential infinite, is seen as a limit. Christians would accept this view of whether or not there could be an infinite number of past events. | * Potential infinite - Collection is at every point finite, but always growing to infinity as a limit. It is indefinite, finite in any point in time, but is always growing toward infinity but never reaching it. Potential infinite, is seen as a limit. Christians would accept this view of whether or not there could be an infinite number of past events. | ||
