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### Argument Against Libertarian Free Will
| <font color="CC6600">**Definiendum**</font> | <font color="CC6600">**Definiens**</font> |
|:-------------------------------------------:|:----------------------------------------- |
| <font color="CC6600">**P(x)**</font> | (x) is deterministic |
| <font color="CC6600">**Q(x)**</font> | (x) follows from antecedent conditions |
| <font color="CC6600">**R(x)**</font> | (x) violates causality |
| <font color="CC6600">**x**</font> | an event |
| <font color="CC6600">**w**</font> | a libertarian free choice |
<div style="text-align: center">
<font color="CC6600">
<b>P1)</b></font> For all x, where x is an event, x is deterministic if, and only if, x follows from antecedent conditions.
<br />
<font color="CC6600">
<b>(∀x(Px↔Qx))</b>
<br />
<b>P2)</b></font> For all x, where x is an event, x violates causality if, and only if, x does not follow from antecedent conditions.
<br />
<font color="CC6600">
<b>(∀x(Rx↔¬Qx))</b>
<br />
<b>P3)</b></font> A libertarian free choice is not deterministic.
<br />
<font color="CC6600">
<b>(¬Pw)</b>
<br />
<b>C)</b></font> Therefore, a libertarian free choice violates causality.
<br />
<font color="CC6600">
<b>(∴Rw)</b>
<br />
<br />
</font>
</div>