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<p class="x_xxxxxxxxxxmsonormal" align="center" style="margin: 0cm; font-size: 11pt; font-family: Calibri, sans-serif;text-align:center">
<b><span lang="EN-US" style="font-size:24.0pt; font-family:Clancy; border:none windowtext 1.0pt; padding:0cm">Philosophy Seminar Series 2021</span></b></p>
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<b><span style="font-size:11.5pt; font-family:Roboto; color:#181716; border:none windowtext 1.0pt; padding:0cm"> </span></b><b><span style="font-size:12.0pt; color:#201F1E; background:white">Speaker:
</span></b><b><span style="font-size:12.0pt; color:black; background:white">Paul Redding</span></b><b><span style="font-size:12.0pt; color:#201F1E; background:white">,
</span></b><b><span style="font-size:12.0pt; color:black; background:white">University of Sydney
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<b><span style="font-size:14.0pt">Duality of Form (and Unity of Content) in Hegel’s Theory of Judgment</span></b></p>
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<b><span lang="EN-US" style="font-family:"Arial",sans-serif">Abstract<span style="color:black">:</span></span></b><span lang="EN-US" style="font-family:"Arial",sans-serif">
</span><span lang="EN-GB">Two underlying forms of judgment structure can be found running through Hegel’s account of judgments and inferences in the subjective logic of
<i>The Science of Logic</i>. Each form can be found in the history of European logic, reflecting judgments as understood within the Aristotelian logic of terms on the one hand and the Stoic logic of propositions on the other. A similar duality of judgment structure
can be found in George Boole’s logic in the mid-nineteenth century, in his distinction between “primary” and “secondary” judgments.</span></p>
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<span lang="EN-GB">While Boolean logic has continued in other areas such as computer science, in philosophy it was largely replaced by the “quantified predicate calculus” developed by Frege and Russell. Frege had criticised Boole’s dualist logical structures,
saying they ran in “parallel” and had no “organic connection”. His own alternative had effectively eliminated Aristotelian term-logical or subject–predicate judgments by analysing the propositions of propositional logic in novel ways.
</span></p>
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In this paper I argue that <i>qua</i> logician, Hegel should be classed with the Boolean tradition, along with sophisticated post-Booleans like C. S. Peirce and Hugh MacColl (the first modern modal logician) rather than with the rival tradition initiated by
Frege and Russell, as argued by Robert Brandom. Moreover, Hegel had an explicit and novel solution to the problem Frege saw facing Boole and that also faces modern modal logic. In it he drew upon a phenomenon that came to be recognized in areas of nineteenth
century geometry, where the notion of “duality” challenged the traditional ways of thinking of relations of points and lines. Generalized to logic, Hegel’s solution challenges the dichotomy of conceptual atomism and conceptual holism, and has profound but
largely ignored consequences for his metaphysics.</p>
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<b><span style="font-family:"Arial",sans-serif; color:#181716; border:none windowtext 1.0pt; padding:0cm">Presenter:</span></b><span style="font-family:"Arial",sans-serif"> </span><span lang="EN-GB">Paul Redding is Professor Emeritus of Philosophy at the University
of Sydney. His work to date has mainly centred on attempts to show the contemporary relevance of ideas from German Idealism, especially Hegel’s version. Most recently this has focussed upon the interpretation of Hegel’s logic and the relevance of this for
understanding his philosophy more generally.</span></p>
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<span style="font-size:12.0pt; font-family:"Roboto Mono"; color:#181716; border:none windowtext 1.0pt; padding:0cm">This event is free.</span></p>
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