Mathematics, Computer Mathematical Systems, Creativity, Art

Introduction

The tradition to oppose Math & Sciences to Art based on dichotomy “non-creative (algorithmic, reproductive) – creative (non–algorithmic, productive)” is wrong and may be concerned only in the framework of usage of the Math & Science and Art artifacts but not in the process of their creation; the processes of constructing new artifacts (both new Math & Science knowledge and new Art products) have the same base – CREATIVITY, and both these processes are similar in both cases (concentration, meditation, modeling, associative and critical thinking etc.). In wider context CREATIVITY is the main goal of a human being, CREATIVITY is the only thing that God can justify him/her (e.g. it is his/her anthropodecium (Berdyaev N., 1931)) – each personally or a mankind in a whole; only CREATIVITY transforms a human life into human being and approach human to God (Berdyaev N., 1931). It does not matter in which area you are working (are you a scientist, an artist, an engineer, a worker, a teacher etc.) – the only thing that matters is: are you CREATIVE or not. CREATIVITY is a God for mankind, the only God and the entire God, the Trinity of God: the origin, the existence and the soul of being. For mankind the human activities, which have sense only if they have the CREATIVE matter, are conditionally divided onto some distinct branches: Technologies, Science, Philosophy, Art, Ethic (in particular religion), each of which plays more or less definite role in definite historical periods of any individuum or community (tribe, nation, country etc.) but during the historical periods one of these branches in their leading role replace one other. Nowadays it seems that technologies, in particular IT, play the main role in civilization progress, stimulating other spheres: Science, Art, Ethic and that is why modern society is called an Information Society (I-Society). But technology itself can’t be the goal of civilization progress and it is obvious that this type of society will be changed by the knowledge society (K-Society), in which the main system leading role would be played by the Science, inflating and stimulating other branches of human activities. Poverty of mankind, growing the number and the scale of global ecological problems should demonstrate bounding of such models of society as I-Society and K–society and maybe Art and Ethic will be the base of a new type of society – Soul society (S–society) and the concept of Sustainable society (economic development, social development and ecological stability) is a step in this direction. IT helps to create crucially new possibilities in all other spheres of human being: human activities, human work, human leisure etc. In particular IT creates a base for new possibilities in Art, Science, Math. etc. (for example computer graphics is beneficial in a lot of IT applications). In the picture below the “magic curves” are shown and all of them are the graph of the one (!) parametric equation , depending from the only parameter – real number. What are these graphical compositions? Mathematics? IT? Art? The reader is proposed to answer these questions for himself/herself and try to estimate the approximate values of p corresponding to each of the Pictures 1– 6¹. Maybe these pictures are the synthesis of all these – somewhat entity of Math, IT, Art etc. and Math, IT, Art etc. are all only the sides of this entity which may exist separately only in our heads – if our heads are not too creative, but in creative heads they all compose to this entity which is the entity itself.

Figure 1.

Figure 2.

Dynamic drawing “Magic Curves” in the DG environment