Ontological mathematics is the rational and logical explanation of everything. Where did it come from? If you wish to develop a profound understanding of ontological mathematics, the science that will shape the future of the human race, you need to know the context in which it evolved, and how it diverged from scientific materialism. Ontological mathematics is the subject that accomplished what scientific materialism considered impossible. It inserted mind into science, via the most powerful analytic formula in all of mathematics. What went wrong with how scientists think about reality, leading them into systemic error? This is the extraordinary tale of how the ultimate intellectual revolution unfolded in its earliest phase.

This book explains how the entire universe can be created using just two ingredients: nothing at all and the Principle of Sufficient Reason (PSR). Why would you need anything else? Nothing else could do the job. Existence, believe it or not, is just dimensionless mathematical points moving according to the PSR. Come and find out how the PSR accomplishes it.

You support a principle of relativity. Why not a principle of absolutism? You support the abolition of a spatial aether. Why not support the existence of a non-spatial aether? You believe that things can be stationary. Why not that they must be in a state of absolute motion? You believe that space and time are the proper stage in which reality should unfold. Why not in a Singularity of non-space and non-time? Is that not a mind, even a "Mind of God?" Don't you want to hack the Mind of God? You think everything should be about particles in a void, as the ancient Atomists said. Why not waves in a Singularity? Waves are dimensionless "atoms" with an atomic number of zero. You think everything should be about matter, with atomic number of one and greater. Why are you so afraid of zero? Why does it torment you so? Why shouldn't everything start with light – massless, and maximally length contracted and time dilated? You think everything should be about science. Why not about mathematics? You think everything should be about the senses. Why not about reason and logic? Should the scientific method start with exercising the senses or exercising reason? What kind of "rational" subject begins by claiming that something else – sensing – is more important than reasoning? Welcome to science! Science told you a story about sensory stuff. And you believed it. Why shouldn't concepts be truer than percepts? Why shouldn't mind be truer than matter? Why shouldn't reality be a self-solving intellect rather than a lurching, mindless body, blind and dumb? Why are you so scared of belonging to a smart universe? Why do you prefer reality to be stupid? What does that say about you? Why is eternal and necessary mind rejected in favor of temporal and contingent matter? Why is a priori thinking rejected in favor of a posteriori sensing? Why shouldn't light be the master of the show? The light of reason. Light is reason. It's the carrier of the cosmic intellect. Do you have good reasons for what you believe? Do you really even know what you believe? Why shouldn't mathematics have an ontology? Why shouldn't mathematics exist as light, as waves, as dimensionless sinusoids with zero mass and atomic number zero? Why are you so horrified by reality being made of mathematics, existing as light? There is only one subject that has the capacity to provide a definitive answer to existence. That's mathematics. All the rest is shinola.

Ontological mathematics is the rational core of Hyperianism. It's the science of the future that proves the shocking truth that the world is not material but a collective dream, that so-called "matter" is an illusion, and the ultimate reality is a domain of pure mind. This is not a belief but a deductive, mathematical certainty. Ontological Mathematics was originally leaked to the public via a controversial hidden society operating under various pseudonyms. Since then, it has taken the world by storm. Ontological mathematics isn't any one person's idea. It's a new way of thinking that is championed by the greatest thinkers of the age. Nearly 100 books have been written about it by various authors and independent ontological mathematics research groups are appearing around the world. Ontological mathematics and Hyperianism is a global phenomenon.We have made the groundbreaking knowledge of our system available to all by introducing the reader to the foundational concepts of ontological mathematics in an accessible way. This text assumes the reader has only minimal philosophical knowledge, and it is written in such a way that anyone can begin learning the mathematics of our system.Imagine living in a time and place where the Earth is believed to be flat and humans created by a god. Now imagine you discover a book containing many astounding facts of science such as the spheroidal shape of the Earth and evolution. How exciting would that be? As you read the book, your entire perspective of reality would change. Your world would never be the same. This is such a book.You currently exist in a time and place where existence is viewed as material. This book reveals that the world is in fact a shared dream. Ontological mathematics is the study of the mathematical wave nature of existence. This is not a reality of matter, rather, it's a reality mind, of thought. And what is thought? Thoughts are mathematical sinusoidal waves. So ontological mathematics is the study of the mathematical waveforms of mind that make up all of existence and your very being. The spacetime world isn't a material reality at all. It's the Holos, which is a mathematical Fourier projection from a frequency singularity known as the Source.When properly understood and integrated, the information within this text will change your existence forever and elevate you to a new level of consciousness. This is the science of the future that one day soon will be taught in every school throughout the world.You are a Mind. Existence is Thought. The World is a Dream. The Science of the Future is Here.

There's a new kid on the block, a subject that can revolutionize humanity's understanding of reality, while being completely rational and logical, and scrupulously avoiding faith and mysticism. It's the long-awaited replacement for science. Only one subject can take over from science and that is the subject that is already at the core of science and gives it all of its power and success, namely mathematics. Come inside and discover the extraordinary world of ontological mathematics. Mathematics is not an unreal abstraction. It's real and concrete.

Computing as a discipline is maturing rapidly. However, with maturity often comes a plethora of subdisciplines, which, as time progresses, can become isolationist. The subdisciplines of modelling, metamodelling, ontologies and modelling languages within software engineering e.g. have, to some degree, evolved separately and without any underpinning formalisms. Introducing set theory as a consistent underlying formalism, Brian Henderson-Sellers shows how a coherent framework can be developed that clearly links these four, previously separate, areas of software engineering. In particular, he shows how the incorporation of a foundational ontology can be beneficial in resolving a number of controversial issues in conceptual modelling, especially with regard to the perceived differences between linguistic metamodelling and ontological metamodelling. An explicit consideration of domain-specific modelling languages is also included in his mathematical analysis of models, metamodels, ontologies and modelling languages. This encompassing and detailed presentation of the state-of-the-art in modelling approaches mainly aims at researchers in academia and industry. They will find the principled discussion of the various subdisciplines extremely useful, and they may exploit the unifying approach as a starting point for future research.

Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic. As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable epistemic problems. As a way out of this dilemma, Shapiro articulates a structuralist approach. On this view, the subject matter of arithmetic, for example, is not a fixed domain of numbers independent of each other, but rather is the natural number structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle. Using this framework, realism in mathematics can be preserved without troublesome epistemic consequences. Shapiro concludes by showing how a structuralist approach can be applied to wider philosophical questions such as the nature of an "object" and the Quinean nature of ontological commitment. Clear, compelling, and tautly argued, Shapiro's work, noteworthy both in its attempt to develop a full-length structuralist approach to mathematics and to trace its emergence in the history of mathematics, will be of deep interest to both philosophers and mathematicians.