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Topic: Philosophy
Number of pages / Number of words: 2 / 399
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The first argument presented is that an actual infinite is a logical impossibility. Allowance is made for potential infinites (i.e. the future), but it is differentiated from an actual infinite, such as the case would be if this universe had traversed from an infinite time to present day. The analogy drawn to prove the impossibility of an actual infinite is that of Hilbert’s Hotel...


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The first argument presented is that an actual infinite is a logical impossibility. Allowance is made for potential infinites (i.e. the future), but it is differentiated from an actual infinite, such as the case would be if this universe had traversed from an infinite time to present day. The analogy drawn to prove the impossibility of an actual infinite is that of Hilbert’s Hotel...


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