It is not unusual for a mathematician, having proved a theorem, to devalue the creativity that went into it. Once a theorem is proved, it is obvious, at least to its prover; it is easy to think that anybody could have done that. So this is common among mathematicians, and is sometimes referred to as impostor syndrome.
What is much more unusual is for a mathematician to disown the result. One of the few cases of this was L. E. J. Brouwer; once he was converted to the philosophy of intuitionism, he had to disown some of his best theorems, including the famous “fixed point theorem”, which used proof by contradiction (unacceptable to intuitionists).
Is this more common in other fields? I don’t know, but it is true that in many of Paul Simon’s early songs, he is extremely negative about his own craft of poetry and songwriting. This is someone who, in 59th Street Bridge Song, has to beg a rhyme from a lamp-post. Here are some more examples.
The Sound of Silence
My words, like silent raindrops, fell
And echoed in the wells of silence
Homeward bound
All my words come back to me
In shades of mediocrity
Like emptiness in harmony
I am a rock
I have my books
And my poetry to protect me
Kathy’s Song
And a song I was writing is left undone
I don’t know why I spend my time
Writing songs I can’t believe
With words that tear and strain to rhyme
Wednesday morning, 3am
My life seems unreal, my crime an illusion,
A scene badly written, in which I must play
The Dangling Conversation
Like a poem poorly written
We are verses out of rhythm
Couplets out of rhyme
In syncopated time
Bleecker Street
The poet writes his crooked rhyme
Holy, holy is his sacrament
Thirty dollars pays your rent
On Bleecker Street
Hazy Shade of Winter
Funny how my memory skips
While looking over manuscripts
Of unpublished rhyme
Drinking my vodka and lime
Have I mmissed anything?
The amazing thing is that all this negativity gives power to some of Simon’s best songs, and indeed some of the most beautiful songs of that very creative time. Despite what the words say, there are no couplets out of rhyme or words straining.
I have long felt that there is a kinship between “The Sound of Silence” and Hermann Hesse’s novel Steppenwolf. Both involve strange magical messages from neon signs glimpsed from narrow damp streets. But it goes deeper. The book is a life-affirming story about a middle-aged misanthrope, so perhaps it fits the pattern I was trying to draw.
Jorge Luis Borges pointed out in an essay that there is a group of writers for whom we would not have seen any commonality if Franz Kafka had not existed; now we would call their writing “Kafkaesque”. Are there perhaps other examples of literary works that we might call “Simonesque”, because they brew beauty and wonder from negativity?
On a not unrelated note —
Paradisaical Logic and the After Math • Comment 1
I will get to fixing a few broken links …
Robert Musil is another pilgrim on that via negativa, as exemplified in his unfinished novel The Man Without Qualities (Der Mann ohne Eigenschaften) — somehow I always think of the Method of Inclusion–Exclusion here — I use that work a lot in the epitext of my unfinished but ever in progress Differential Logic and Dynamic Systems.