What connects thinking and poetry [Dichten] is metaphor. In philosophy one calls concept what in poetry [Dichtkunst] is called metaphor. Thinking creates its “concepts” out of the visible, in order to designate the invisible.
-Hannah Arendt, Denktagebuch, vol. 2, p. 728
Does this connect to Deleuzes idea of philosophy as he wrote in What is Philosophy?
philosophy is the art of forming, inventing & fabricating concepts.
One notes that poetry comes from the greek poesis which means simply fabrication.
Can at least one distinction be made that the material poetry proper is poesis of the sensual, whereas philosophy is poesis of the abstract?
Is mathematics, when considered as a form of philosophy, poesis? A cheap metaphor for example, is to put number & geometry together to produce the real line; a metaphor more dearly bought is to put number & geometry together and produce sheaf theory. (One does rather note, that poets are quick & many with their metaphors whereas mathematics is slow & few with theirs).