PREFACE approaching infinity

Preface
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seventeen of these paradoxes
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three philosophical questions
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there are some infinite series that can be completed.
Note:PRIMA QUESTIONE...ZENONE

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move from point A to point B,
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travel half the distance,
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the object can never reach point B.
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On the other hand, it seems that there are other infinite series that cannot be completed.
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imagine a lamp
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At the end of one minute, is it on or off?
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What we would like to say is that some infinite series are possible, and others are impossible.
Note:LA CONCLUSIONE CHE CI VIENE

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it is common to argue that some philosophical theory must be rejected because it leads to an infinite regress.
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if every event has a cause, and the cause of an event is also an event, then there must be an infinite regress of causes.
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we should reject the idea that everything has a cause;
Note:LA CONCLUSIONE DI MOLTI

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we should posit a ‘first cause’,
Note:ALTERNATIVA

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there is nothing wrong with the infinite regress.
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some but not all infinite regresses are bad;
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What makes an infinite regress vicious or benign?
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infinite spacetime curvature of a black hole are considered problems
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the notion of an infinitely large universe, or the notion of an infinite future,
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‘Why are some infinite series completeable and others not?’, ‘Why are some infinite regresses vicious and others not?’, and ‘Why are some infinite quantities problematic and others not?’
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which sorts of infinities are possible and which impossible.
Note:ALTRA FORMULAZIONE