B This Nearly Brought Me To Tears

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The discussion highlights the impact of unsung heroes, specifically mentioning Dr. Nonhlanhla Yende-Zuma as an inspiring figure. Participants express feelings of humility and admiration for such individuals who overcome challenges. The mention of Emmy Noether serves to emphasize resilience and the refusal to be defined by circumstances. There is a shared sentiment of wishing for more heroes like her in society. Overall, the conversation reflects a deep appreciation for those who make significant contributions despite adversity.
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When I hear stories like that if feel like I'm just taking up space.
 
I was reading a Bachelor thesis on Peano Arithmetic (PA). PA has the following axioms (not including the induction schema): $$\begin{align} & (A1) ~~~~ \forall x \neg (x + 1 = 0) \nonumber \\ & (A2) ~~~~ \forall xy (x + 1 =y + 1 \to x = y) \nonumber \\ & (A3) ~~~~ \forall x (x + 0 = x) \nonumber \\ & (A4) ~~~~ \forall xy (x + (y +1) = (x + y ) + 1) \nonumber \\ & (A5) ~~~~ \forall x (x \cdot 0 = 0) \nonumber \\ & (A6) ~~~~ \forall xy (x \cdot (y + 1) = (x \cdot y) + x) \nonumber...

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