Dr. John Carlos Baez, an American Mathematical Physicist and a Professor of Mathematics at the University of California, Riverside, based in the United States participate in Risk Roundup to discuss The Promise of Category Theory.
Category Theory
Category theory has become a key driver for modern mathematics, theoretical computer science and is beginning to be applied to mathematical physics. As it becomes the language of mathematics for the formulation of the laws of physics; there is a broader hope that it will help us on our journey towards understanding the origin of our universe and our place within it.
From helping us understand how the patterns of innovation arise to how the patterns of destructions emerge, category theory has the potential to be a powerful language or conceptual framework, that would help us see the common components of a family of integrated structures of any given kind, and how constructive and destructive structures that emerge are interrelated and integrated.
So, as we begin to explore the universe, beyond cyberspace, aquaspace, geospace, and space (CAGS), it is believed that category theory will provide a structural framework for uncovering and documenting rules and patterns that occur in man, machines, matter, and the universe. Also, category theory is expected to be a language for consciousness for the entire universe and will likely give us evidence to the more profound puzzle as to perhaps:
- Why do mathematical laws govern the universe in the first place?
- Why is the order of the universe dependent on interconnected and interrelated processes? Moreover, how are the systems and states, undergoing processes that alter them?
- Why is category theory relevant today in understanding the current and future security problems facing humanity across CAGS.
- How will category theory help us make sense of the complex challenges coming our way?
It is believed that we live in a relational reality. What does that mean? It perhaps means that the properties of the world around us stem not from the properties of its ultimate building blocks, but from the relations among these building blocks.
- Does that mean category theory is a tool to understand relationships?
- How does category theory explain the relational reality of the contested commons of cyberspace, aquaspace, geospace, and space (CAGS)?
While the role of category theory as a foundational language in applied mathematics and mathematical modeling is still in its infancy and a rather unexplored path, it is crucial to understand how it can help us understand the complex security problems facing humanity.
Category Theory Applications
Category theory has already shown promise as a modeling framework. Because it provides an abstract framework for modeling processes its applications are universal in science, engineering, the contested commons of the human ecosystem, and the entire universe. So, it is crucial to understand and evaluate how can we apply category theory to the broader security problems we are trying to solve today for the future of humanity (cybersecurity issues to environmental issues, automation issues to warfare issues, behavior issues to cultural issues, and more)?
As the applications of category theory are beginning to emerge, it is vital to understand whether the future will be based on the category theory. The time is now to understand the Promise of Category Theory.
For more, please watch the Risk Roundup Webcast or hear the Risk Roundup Podcast
About the Guest
Prof. (Dr.) John Carlos Baez is an American Mathematical Physicist. He is a Professor of Mathematics at the University of California, Riverside-based in the United States.
About the Host of Risk Roundup
Jayshree Pandya (née Bhatt), the founder and chief executive officer of Risk Group LLC (www.riskgroupllc.com) is working passionately to define a new security-centric operating system for humanity. Her efforts towards building a strategic security risk analytics platform are to equip the global strategic security community with the tools and culture to collectively imagine the strategic security risks to our future and to define and design a new security-centric operating system for the future of humanity.
About Risk Roundup
Risk Roundup, a global initiative launched by Risk Group, is a security risk reporting for risks emerging from existing and emerging technologies, technology convergence, and transformation happening across cyberspace, aquaspace, geospace, and space. Risk Roundup is released in both audio (Podcast) and video (Webcast) format and is available for subscription at (Risk Group Website, iTunes, Google Play, Stitcher Radio, Android, and Risk Group Professional Social Media).
About Risk Group
Risk Group LLC is a leading strategic security risk analytics platform.
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