![]() Godel’s Incompleteness Theorem deals with strange loops, asserting that any attempt for a number theory to define itself will fail.Such as in the famous Escher paintings like the infinite staircase.Įpimenides Paradox: Another form of strange loop, contained in statements like “This statement is false.” It is a “one step strange loop.” This is the first example in the book of a “Strange Loop,” a loop whereby moving through it we unexpectedly find ourselves right back where we started. The transition is seamless, and allows it to continue rising forever. ![]() ![]() There are also more complicated canons, where the second voice may enter at a different pitch as well.įugue: A fugue is like a canon, in that it’s based on one theme which gets played in different voices, but the notation is much less rigid and you can play with it more.īach created an “endlessly rising canon,” in which it ends and immediately restarts but a note up. In the basic canon, the first voice enters, and after a period, the second voice enters at the same beginning as the first, layering on top of each other. The Offering has a three part fugue, a six part fugue, ten canons, and a trio sonata.Ĭanons: In a canon, a single theme is played against itself. In the Musical Offering, Bach includes an inscriptions whose first letters combine to spell “RICERCAR”, and Italian word meaning “to seek” ![]()
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