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Mathematics, 10.12.2021 20:20 bhopainting
No axiom, postulate, definition, or theorem of geometry may contradict another, nor may it ever contradict any conclusion reached with the help of other axiom, postulate, definition, etc.
In contrast, a paradox is a statement that leads to self-contradictory conclusions. For instance, Russell’s paradox is the most famous of the logical or set-theoretical paradoxes: Consider the set of all sets that are not members of themselves. Such a set appears to be a member of itself
if and only if it is not a member of itself. Hence the paradox.
Research more about paradoxes and discuss one real-life example and one geometric example (excluding Russell’s Paradox).
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No axiom, postulate, definition, or theorem of geometry may contradict another, nor may it ever cont...
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