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## Analysis
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1.
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### Argument Against Collective Ownership
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| <font color="CC6600">**Definiendum**</font> | <font color="CC6600">**Definiens**</font> |
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|:-------------------------------------------:|:----------------------------------------------------------------------- |
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| <font color="CC6600">**Ownership**</font> | (x) has authority in disputes and has the final say in how the item is used |
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| <font color="CC6600">**∃x(Cx)**</font> | (x) exists |
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| <font color="CC6600">**∀y(Hy)**</font> | for all things, (y) in the collective has ownership over the item |
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| <font color="CC6600">**x**</font> | collective ownership |
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| <font color="CC6600">**y**</font> | everyone |
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| <font color="CC6600">**z**</font> | one individual |
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<div style="text-align: center">
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<font color="CC6600">
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<b>P1)</b></font> If collective ownership exists, then, for all things, everyone in the collective has ownership over the item.
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<br />
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<font color="CC6600">
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<b>(∃x(Cx)→∀y(Hy))</b>
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<br />
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<b>P2)</b></font> There exists at least one individual who does not have ownership over the item.
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<br />
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<font color="CC6600">
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<b>(∃z(¬Hz))</b>
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<br />
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<b>C)</b></font> Therefore, collective ownership does not exist.
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<br />
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<font color="CC6600">
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<b>(∴¬∃x(Cx))</b>
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<br />
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<br />
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</font>
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</div>
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## Semantics
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