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God's algorithm is a notion originating in discussions of ways to solve the Rubik's Cube puzzle, [1] but which can also be applied to other combinatorial puzzles and mathematical games. [2] It refers to any algorithm which produces a solution having the fewest possible moves (i.e., the solver should not require any more than this number).
Rips was a professor in the Department of Mathematics at Hebrew University. His research interests were geometric and combinatorial methods in infinite group theory. This includes small cancellation theory and its generalizations, (Gromov) hyperbolic group theory, Bass-Serre theory and the actions of groups on R {\displaystyle \mathbb {R} } -trees.
Definition 1: An object is God-like if, and only if, has all positive properties. Axiom 3: The property of being God-like is itself a positive property. Theorem 2: It is possible that there exists a God-like object (in at least one possible world, there exists a God-like object ).
He claimed that the growth of mathematics itself is not directed or organic. To have a unity and direction, mathematics needs a goal. It can be practical applications or God as the source for the direction of development. Shafarevich opted for the latter, as pure mathematics is not in itself driven by practical applications. [10]
After an introductory chapter The Nature of Mathematics, Stewart devotes each of the following 18 chapters to an exposition of a particular problem that has given rise to new mathematics or an area of research in modern mathematics. Chapter 2 – The Price of Primality – primality tests and integer factorisation
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The application is a defense of Christianity stating that "If God does not exist, the Atheist loses little by believing in him and gains little by not believing. If God does exist, the Atheist gains eternal life by believing and loses an infinite good by not believing". [3] The atheist's wager has been proposed as a counterargument to Pascal's ...
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