Logic
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Behind every mathematician is a beautiful mind: one that has been forged through years of critical thinking. Their minds are molded by countless failed attempts at solving problems and refined by the exposure to remarkable ideas explored along a lifetime of learning. How can we train our minds to see the world more like mathematicians do? The map ...
If you’re interested in logic, you’ve probably heard of the soundness and completeness theorems. They’re the first major results proved in a logic class. Their proofs can get messy and technical, especially the proof of completeness. What the theorems are really supposed to tell us and why it’s interesting often gets lost in all that technicality. ...