These sorts of absurdities illustrate the impossibility of the existence of an actually infinite number of things. … Craig says an actually infinite number of things _____.
a. These might include the set of natural numbers, extended real numbers, transfinite numbers, or even an infinite sequence of rational numbers. The universe is finite in the past and began to exist b.

the universe has a cause: Craig says an actually infinite number of things _____. . . . a. is possible. Dear Dr Craig, I have a few ... What is true to say and what God knows is that according to standard number theory, there is an actually infinite number of numbers. by William Lane Craig that it is impossible for an actual infinite number of things to exist in the real world. According to Craig, the kalam cosmological argument establishes that. a. First, 1 will assess the philosophical arguments surrounding the actual infinite. However, the hotel manager can still accept a new guest by moving each person one room number up (room 1 to room 2, room 2 to … b. Cannot exist. An actually infinite number of things cannot exist. Wes Morriston argues that even if we take an endless series of events to be merely potentially, rather than actually, infinite, still no distinction between a beginningless and an endless series of events has been established which is relevant to arguments against the metaphysical possibility of an actually infinite number of things: if a beginningless series is impossible, so is an endless series. But Sorabji seems to fail to understand the heart of the paradox: I, for one, experience no temptation to think of people dropping off the far end of the hotel, for there is none, but I do have difficulty believing that a hotel in which all the rooms are occupied can accommodate more guests. This pseudo-problem shows a complete misunderstanding of what mathematics is and how the most … Craig argues that an actually infinite number of things. cannot exist: Craig argues that the series of events in time cannot be actually infinite, so we know that _____. "In an actual infinite, all the members exist in a determinate, completed whole."

Therefore, a beginningless series of events in time cannot exist. d. the universe is uncaused. God is the best explanation of the applicability of mathematics to the physical world. To show this, let’s look at Hilbert’s hotel, by the mathematician David Hilbert. In the philosophy of mathematics, the abstraction of actual infinity involves the acceptance (if the axiom of infinity is included) of infinite entities as given, actual and completed objects.
The universe is infinite in the past c. The universe never is uncaused d. – William Lane Craig, “The Existence of God and the Beginning of the Universe“ If there cannot be an actually infinite series of events, then a series of events cannot go back forever, and the universe cannot be eternal. William Lane Craig. Moreover, God knows that an actually infinite number of arithmetic truths follow from the axioms of standard arithmetic, like 1+1=2, 2+1=3, 3+1=4, . According to Craig, while there is no barrier to a potential infinite's existing, the same cannot be said of an actual infinite. According to Craig, the kalam cosmological argument establishes that _____. Actually, there are an infinite number of instants (and hence events) in any finite amount of time – surprisingly – so the Kalam argument is false. Craig could perhaps deny its plausibility by arguing that it consists of an actual infinite number of things, much like Hilbert's Hotel. a. the God of Christianity exists. Rather, Craig argues it is taken from pagan sources such as the Neo-Platonism of Plotinus.

b. the universe has a cause. 1 intend to show that the argument from the impossibility of an actual infinite is fallacious, and that Beckwith and Parrish neither understand the nature of LDS doctrine nor argue effectively that it is incoherent. Further, Craig asserts the doctrine has the “terrible consequence” that God’s attributes “are annihilated by divine simplicity” since “the pure act of … Such a hotel entails a number of (alleged) absurdities and so is thought to prove that an actually infinite number of things cannot exist.

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