In the search for a better knowledge of the matter, we learn that everything is composite. This characteristic shows that the fabric of reality could possess an infinite capacity to be discovered. Up until now, we have been using only a minuscule slice of these immense reserves to build the human civilization up. We will be amazed if we knew that through a systematic exploration of the infinity in the world, in a comparatively short scope of time, we can get several times more of what we got throughout thousands of years in our history.In order to do so, we elaborated a philosophical theory called Infinitism which states that everything is infinite or is not. It asserts that we can, therefore, have access to unlimited sources of material and energy if we learn to work the infinitude in action within the matter. In an infinitist vision, such a historical undertaking will enable us make a new civilization in which we will experience the eternity of life, material prosperity, and development of human intellect. A world free of pain and full of happiness; a thriving and purposeful life for everyone.To create such an ideal world, Infinitism recommends the establishment of a new academic discipline, called Infinitylogy. Its mission is to join Philosophy, Science, and Technology in an intertwined collaborative scheme in order to know how to catch the infinitude in action, and to operate on that for modifying intelligently the structure of matter and obtaining whatever we want, as much as we need. This book contains the ideas, thoughts, and suggestions about both Infinitism and Infinitylogy. This yet unknown twosome is in the city not only to change the world, but for raising a new one.