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...y under review "becomes itself the object of a mathematical study", what [[Hilbert]] called ''[[metamathematics]]'' or ''[[proof theory]]'' ([[Stephen Cole Kl ...y under review "becomes itself the object of a mathematical study", what [[Hilbert]] called ''[[metamathematics]]'' or ''[[proof theory]]'' ([[Stephen Cole Kl

...y under review "becomes itself the object of a mathematical study", what [[Hilbert]] called ''[[metamathematics]]'' or ''[[proof theory]]'' ([[Stephen Cole Kl ...y under review "becomes itself the object of a mathematical study", what [[Hilbert]] called ''[[metamathematics]]'' or ''[[proof theory]]'' ([[Stephen Cole Kl

...y under review "becomes itself the object of a mathematical study", what [[Hilbert]] called ''[[metamathematics]]'' or ''[[proof theory]]'' ([[Stephen Cole Kl ...rtain string manipulation rules. For example, in the "game" of [[Euclidean geometry]] (which is seen as consisting of some strings called "axioms", and some "r

...rtain string manipulation rules. For example, in the "game" of [[Euclidean geometry]] (which is seen as consisting of some strings called "axioms", and some "r ...ole numbers, chosen to be philosophically uncontroversial) was consistent. Hilbert's program was dealt a fatal blow by the second of [[Gödel's incompleteness

...ontradictory systems side by side, for example, the various [[noneuclidean geometry|alternative geometries]]. On the whole, coherence theories have been criti ...ontradictory systems side by side, for example, the various [[noneuclidean geometry|alternative geometries]]. On the whole, coherence theories have been criti

...ontradictory systems side by side, for example, the various [[noneuclidean geometry|alternative geometries]]. On the whole, coherence theories have been criti ...ontradictory systems side by side, for example, the various [[noneuclidean geometry|alternative geometries]]. On the whole, coherence theories have been criti

...hematical Notes#DIF. Differential Geometry For Engineers|DIF. Differential Geometry For Engineers]] analytic geometry, because instead of thinking about

...My instrumental focus is placed on integrating the methods of differential geometry with the techniques of logic programming. I will attempt to embody this pr ...field or "information field" founds the subject of stochastic differential geometry and its associated dynamic systems. An alternate development in this spiri