Instructions: Make sure that you state the parts of arguments (premises/intermediate conclusions/main conclusions) using complete, independently intelligible, and truth-apt sentences. Make sure that the labels in your argument diagrams match the labels you use for premises/intermediate conclusions/main conclusions. Make sure that you proofread your assignment to eliminate any spelling and grammatical mistakes. Your assignment is due before the beginning of class on Tuesday, September 15th. You can email me a copy of your assignment or you can turn in a hard copy before class begins. In your own words, summarize (a) David Hilbert’s thought experiment known as ‘Hilbert’s Hotel’, (b) why Craig and Mooreland think that the existence of Hilbert’s Hotel would be absurd, and (c) why they think the absurdity of Hilbert’s Hotel implies that no actual infinite collection can exist. The initial formulation of Craig and Mooreland’s second philosophical argument for “An actual infinite cannot exist” has two premises; they offer arguments for each premise on the left hand column of p. 167; analyze and diagram these arguments.

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