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Cosmological argument: Difference between revisions
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The crucial premise of the argument. Before the Big bang theory was theorized in the 20th century, scientists generally thought that the universe was eternal. The implicit question of premise 2 is, can an | The crucial premise of the argument. Before the Big bang theory was theorized in the 20th century, scientists generally thought that the universe was eternal. The implicit question of premise 2 is, can an infinite collection actually exist? | ||
* 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 because, you could subtract a number from the infinite collection and that will lead to self-contradictory results. Within the math of an actually infinite number of members you subtract identical quantities from identical quantities, but this is why in [[mathematics]] subtraction from identical quantities is prohibited, it is self-contradictory. <ref>[http://www.rfmedia.org/RF_audio_video/Defender_podcast/20040509CosmologicalArgumentPart2.mp3 Cosmological Argument Part 2] By William Lane Craig</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 because, you could subtract a number from the infinite collection and that will lead to self-contradictory results. Within the math of an actually infinite number of members you subtract identical quantities from identical quantities, but this is why in [[mathematics]] subtraction from identical quantities is prohibited, it is self-contradictory. <ref>[http://www.rfmedia.org/RF_audio_video/Defender_podcast/20040509CosmologicalArgumentPart2.mp3 Cosmological Argument Part 2] By William Lane Craig</ref> | ||
