Title : Mathematical logic of action potentials: Roots of thoughts and zeros of mathematics
Abstract:
In recent scientific and technological advances, many boundaries among science, engineering and cognitive informatics are cross-linked in the face of combinations of knowledge and tools as demonstrated in the areas of scientific computing, network computing, bio-molecular computing, quantum computing, soft computing, most recently perceptual computing, and general artificial intelligence. Human thoughts are at the core of the latest scientific computing advances and development. Understanding the true nature of human thoughts and their mathematical patterns will be essential and critical. This talk presents three principles of the Brain-Mind Relationship recently proposed by Giorgio A. Ascoli in 2015 and briefly provides an overview of Paul and Elder's model (in 1999 on the universal structure of human thought and the centrality of thinking. To explore mathematical structure of human thought, we briefly summarize Ulf Grenander’s work “A Calculus of Ideas: A Mathematical Study of Human Thought” (in 2012). We then introduce a key concept of Thinking Kernels as geometric structure of human thought and draw the connections between Neural Spikes with Zeros of mathematics via an integration of fuzzy logic and binary logic (Fuzzinary Logic). Furthermore, we present a Central Dogma of Human Thoughts connecting internal black box of thinking kernels and external open box of thinking expressions via middle gray box of thinking flows.
