dionysius is one of the most important personages in christian mystic that some of his ideas were up to now popular ideas in christian theosophy, theology and philosophy. christian doctrine and neo-platonic ideas are viewed as two main sources for his opinions; although he sometimes leans to one and the rest to another. for example, in discussion about creation, angelology and trinity he tended...

theory of ideas (muthul) in fact delineates the infrastructure of plato’s philosophy and metaphysics. it can be stated with certainty that by presenting this theory, plato intended to justify the generation of the mundus sensibili in view of its transitoriness and not being assuredly recognizable. encountering this theory, aristotle believes that professing to it would yield illogical results. ...

We define a nearly platonic graph to be a finite k-regular simple planar graph in which all but a small number of the faces have the same degree. We show that it is impossible for such a graph to have exactly one disparate face, and offer some conjectures, including the conjecture that nearly platonic graphs with two disparate faces come in a small set of families.

Group brainstorming is a very popular technique for the creation of ideas, although the state of the art in psychological research backs from this kind of brainstorming. Electronic brainstorming overcomes some of the drawbacks and regains some value. Unfortunately, the electronic brainstorming still is in infantile state and lacks some modern techniques which may make the whole approach more ef...

All sciences need and many arts apply mathematics whereas mathematics seems to be independent of all of them, but only based upon logic. This conservative concept, however, needs to be revised because, contrary to Platonic idealism (frequently called "realism" by mathematicians), mathematical ideas, notions, and, in particular, numbers are not at all independent of physical laws and prerequisites.

Mathematicians study shapes, structures and patterns. However, there are shapes, structures and patterns within the body and practice of mathematics that are not the direct objects of mathematical study. Rather, they are part of the explanation of how mathematical study is possible, and thus demand the attention of epistemologists and phenomenologists as well as mathematicians. Partial philosop...