Quote:
Originally Posted by lemit
Are there any other fans of self-reflective language out there?
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Me me me!
You’d have to search pretty far for a math enthusiast worthy of the label who’s not at least acquainted with the concept of self-reference, and most likely has read whole chapters on it (eg: in
GEB). From the trivial – eg “this sentence is six words long” – to the profound – eg various forms of the
liar paradox, ie: “I am lying” – to the more convoluted – eg forms
Russell’s paradox such as “who shaves the person who shave only people who do not shave themselves?” (the
barber’s paradox) – with uncounted though-provoking examples such as “the largest number that can be described in exactly eleven words”.
How to formally handle self-reference is a historic and deep issue in math.
One note: although it’s obvious from context what you’re describing, lemit, as a mater of common usage, I think you’d better use
“self-referential” rather than “self-reflective”. The former is usually used to describe sentences such as those above, while the latter is usually used a synonym for
“introspective” to refer to the psychological and philosophical act of thinking about oneself.
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