On Traversing the Excluded Middle

Andrew Weir: Excluded Middle (2019)

Acrylic paint on paper, 36 x 48 cm
saatchiart.com

 

Logicians to the left of me, Derrideans to the right, 

here I am, stuck in the excluded middle with you ... [1]

 

 

I. 

 

In classical logic, the law of the excluded middle (p ∨ ¬ p) states that either a proposition or its negation has to be true.

 

It is the third of the three great laws of thought upon which rational discourse is based; the other two being the law of identity - each thing is identical with itself - and the law of non-contradiction - propositions cannot both be true and false at the same time.

 

But such axiomatic rules don't really mean a great deal to me as someone who is happy to do their thinking in the moral no-go zone that is the excluded middle; i.e., the evil realm of fuzzy logic, dark limpidity, and what Nietzsche terms dangerous knowledge.

 

 

II. 

 

Similarly, as someone who privileges difference over identity and refuses to be haunted by the spectre of logical contradiction, I'm prepared also to cheerfully transgress the other two laws. For as I wrote in a post from a few years ago:

 

'Whether our analytic philosophers like to admit it or not, some forms of thinking rely upon daimonic inspiration and so are not regulated by reason alone. Our very greatest poets, for example, creatively affirm paradox and ambiguity; they are unafraid of appearing inconsistent or irrational and are proud to proclaim that if, like Whitman, they contradict themselves, that's because they contain multitudes.' [2]

  

One suspects that a good deal of the continued hostility aimed towards those who take a more continental approach to philosophy is that we see the latter as more of an art than a science (unless it be a gay science). Nothing enrages the Anglo-American mindset more than logical inconsistency and the idea that some feel free in the excluded middle to affirm the neither/nor and defy the spirit of gravity so that thinking becomes pleasurable.      

 

 

III. 

 

In sum: without wishing to explicity reject the law of the excluded middle, I don't support its rigid enforcement and, like Deleuze, see le milieu exclu as a zone in which becoming is stamped with the character of being and where not only do new possibilities emerge, but it is reasonable to demand the impossible.

 

 

Notes

 

[1] I'm paraphrasing a lyric from the well-known song by the Scottish folk rock band Stealers Wheel entitled. 'Stuck in the Middle With You', written by Gerry Rafferty and Joe Egan. It can be found on their eponymous debut album Stealers Wheel (A&M Records, 1972) - or played by clicking here. 

 

[2] See the post entitled 'Hello Darkness My Old Friend ...' (1 Oct 2021): click here. 

 

This post is for Bryan Kam who probably cares more - and certainly knows more - about this topic (and many others) than I do. London-based for the last 20 years, Kam studied English and Russian literature at Princeton and Cambridge, but is also widely read in both Western and Eastern philosophy. He regularly publishes work on Substack: click here. 

      According to Kam, the law of the excluded middle, born in Athens c. 350 BC, died in Amsterdam in 1908 at the hands of L. E. J. Brouwer. That might be true, but, unfortunately, even dead concepts can still retain an icy grip on our thinking.