What are some common logical fallacies in mathematics?
Some common logical fallacies in mathematics include the fallacy of composition, the fallacy of division, and the appeal to authority.
Can you explain the fallacy of composition?
Sure! The fallacy of composition occurs when one assumes that what is true for a part is also true for the whole.
What about the fallacy of division?
The fallacy of division is the opposite; it assumes that what is true for the whole must be true for its parts.
How can I avoid these fallacies in my math work?
To avoid these fallacies, always verify assumptions and ensure that conclusions drawn from parts apply to the whole or vice versa.
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