
Re: Ariadne's thread
Posted:
Jan 4, 2012 3:47 AM


Mathematics may be understood as logic of building and maintaining, while art may be seen as human measure in a technical world. The former is based on the equation a = a, the latter on Goethe's world formula and ever turning key 'all is equal, all unequal ...'
God may see the world as one. We humans perceive it in opposites, from different perspectives that both exclude and complement each other. God as heavenly creator may understand all of the world in mathematical terms, while we combine a limited mathematical treasure based on the formula a = a with the contrary experience that no physical objects and no living beings are really the same, identical, and everybody and everything changes in time  you can't bath in the same river twice (Heraclite).
The border between the mathematical and the other side of logic, between Goethe's 'all is equal' and 'all unequal' is the infinite, equal and unequal in itself, eternal source of paradoxa. Each taming of the infinite reveals another puzzle, one more surprise, a further paradox. We can't get rid of them, so we better estimate them as promises and generators of future knowledge.
God created a world in evolution. Also we evolve, and so does our knowledge. In my lifetime more mathematics was discovered than in all times before. However, mathematical research, as any other research, will never come to an end. We may feel that we are just below the top of the mesa  one final effort and we are there  but the mountain grows while we are climbing.

