Axiomatic Analysis On The Essential Cognition Of Architecture

In the history of architecture design, there are three main periodsand each of them existed on the rethink of the previous ones. Undeniably,these periods are somewhat a sequence of ‘negation of negation’; howeverthe architecture design method still has not reach the ideal state, sincethey all have some problem to some extent. The clarification for suchsituation is that the essential cognition of architecture is notreasonable enough. Consequently, to invent a new kind of design methodthat can at the same time cover the shortage of recent design method andeffective, at least in certain period, the re-cognition of the essentialof architecture and the analysis of architecture based on such cognitionis inevitable.In the history of architecture, the study on the cognition ofarchitecture has never ceased. According to the epistemology, thesecognitions could be classified into two groups as rationalism andempiricism. The author reviews the main concepts and developing historyof these two types of cognition of architecture and, based on it, discoversthe merits and defects of them. Moreover, two premises (architecture isa kind of system and the interaction between human and architecture isthe kernel role of architecture) and three guidelines (rationalismanalysis methodology, empiricism premises and reasonable deductiveprocess) of the study on architecture essential cognition are discoveredas the foundation for this study.Ground on the review of relevant study, by choosing the objectivearchitecture dimension as entry point, applying axiomatic deductivemethodology, deducting from nine axioms, the author establishes theaxiomatic system of architecture dimension. Such system directs to theconclusion that architecture is the set of the relative system consistof relativities.In order to deepen and examine this conclusion, the author establishesthe mathematic model of it with projection geometry and analytic geometryand, by basic calculation, obtains the formula to analyze the complexityof the room. By the establishing of the model, the defects of the conclusion (the integration of architecture and the connecting state ofrooms are not adequate) is disguised. As a result, the more reasonableconclusion about the cognition of architecture is made: the sets ofrelative system consisting of relativities are connected by thetransformation of their intersections into a union of sets and such unionis architecture.