| 1. | I've prepared a farcical " axiomatic system " and some proofs, below.
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| 2. | It only might look like an axiomatic system at a brief glance.
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| 3. | :: : G�del's theorem relates to provability in a formal axiomatic system.
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| 4. | This is how new lines are introduced in some axiomatic systems.
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| 5. | When exploring the SAME closed axiomatic system ( e . g.
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| 6. | Many other axiomatic systems for Euclidean geometry have been proposed over the years.
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| 7. | How confident are we that basic axiomatic systems mathematicians work with today are consistent?
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| 8. | Note, though, that this is only within the context of the given axiomatic system.
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| 9. | Chwistek demolishes the axiomatic method by demonstrating that the extant axiomatic systems are inconsistent.
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| 10. | More interestingly, an axiomatic system need not include the notion of " contradiction ".
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