### Pollination Reductio

| <font color="CC6600">**Definiendum**</font> | <font color="CC6600">**Definiens**</font>                             |
|:-------------------------------------------:|:--------------------------------------------------------------------- |
|      <font color="CC6600">**V**</font>      | something (x) is vegan                                                |
|      <font color="CC6600">**E**</font>      | something (x) does not involve human on non-human animal exploitation |
|      <font color="CC6600">**P**</font>      | the products (x) generated are not vegan                              |
|      <font color="CC6600">**b**</font>      | bees pollinating human crops                                          |
|      <font color="CC6600">**a**</font>      | apples                                                                | 

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<b>P1)</b></font> Something is vegan if, and only if, something does not involve human on non-human animal exploitation.
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<b>(∀x(Vx↔¬Ex))</b>
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<b>P2)</b></font> Bees pollinating human crops involves human on non-human exploitation.
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<b>(Eb)</b>
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<b>P3)</b></font> If bees pollinating human crops is not vegan, then the products generated are not vegan.
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<b>(¬Vb→∀x(¬Px))</b>
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<b>C)</b></font> Therefore, apples are not vegan.
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<b>(∴¬Pa)</b>
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[Proof Tree](https://www.umsu.de/trees/#(~6x(Vx~4~3Ex)),(Eb),(~3Vb~5~6x(~3Px))|=(~3Pa))

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# Hashtags

#debate 
#arguments