Post Emil - "Creative" logic
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Emil Post, now regarded as having anticipated both Gödel and Turing’s
<br/>
respective discoveries of formal incompleteness and undecidability, tried
<br/>
to incorporate Bergson’s theory of memory into the foundations of a
<br/>
“creative” logic. Post argued that “incompleteness” and “undecidability,”
<br/>
rather than simply presenting aporias, were the traces of the continuity of
<br/>
the process of thought. Incompleteness, according to Post, represented the
<br/>
“intuitive” basis by which mathematical concepts came into being. Post,
<br/>
however, was only able to observe the creative at the limits of logic,
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whereas from Bergson’s perspective we need to reconsider what it is we
<br/>
mean by “thought” if we are to apprehend our immanence to time. The
<br/>
nature of our affective duration reveals the continuous unfolding of
<br/>
difference as much as its multiplicity. It is only by approaching thought in
<br/>
the infinitive and re-evaluating the role of affectivity in the production of
<br/>
ideas in general that we will be able to gain an intuition of process and
<br/>
evolution, as much as a metaphysical basis to expression. In the end, we
<br/>
can safely say that it was not the haze of mysticism which clouded
<br/>
Bergson’s judgement but that philosophy for the greater part of a century
<br/>
has been suffering from a severe want of sensibility.
</p>