1. Introduction

    1. Hyper-finite factors in quantum TGD

    2. Hyper-finite factors and M-matrix

    3. Connes tensor product as a realization of finite measurement resolution

    4. Concrete realization of the inclusion hierarchies

    5. Quantum spinors and fuzzy quantum mechanics

  2. A vision about the role of HFFs in TGD

    1. Basic facts about factors

    2. Factors in quantum field theory and thermodynamics

    3. TGD and factors

    4. Can one identify M-matrix from physical arguments?

    5. Finite measurement resolution and HFFs

    6. Questions about quantum measurement theory in zero energy ontology

    7. Discretization and quantum group description as different aspects of finite measurement resolution

    8. How could p-adic coupling constant evolution and p-adic length scale hypothesis emerge from quantum TGD proper?

    9. Planar algebras and generalized Feynman diagrams

    10. Miscellaneous

  3. Fresh view about hyper-finite factors in TGD framework

    1. Crystals, quasicrystals, non-commutativity and inclusions of hyperfinite factors of type $II_1$

    2. HFFs and their inclusions in TGD framework

    3. Little Appendix: Comparison of WCW spinor fields with ordinary second quantized spinor fields

  4. The idea of Connes about inherent time evolution of certain algebraic structures from TGD point of view

    1. Connes proposal and TGD

  5. MIP*= RE: What could this mean physically?

    1. Two physically interesting applications

    2. The connection with TGD

  6. Analogs of quantum matrix groups from finite measurement resolution?

    1. Well-definedness of the eigenvalue problem as constraints to quantum matrices

    2. The relationship to quantum groups and and quantum Lie algebras

    3. About applications

  7. Jones inclusions and cognitive consciousness

    1. Does one have a hierarchy of U- and M-matrices?

    2. Feynman diagrams as higher level particles and their scattering as dynamics of self consciousness

    3. Logic, beliefs, and spinor fields in the world of classical worlds

    4. Jones inclusions for hyperfinite factors of type II1 as a model for symbolic and cognitive representations

    5. Intentional comparison of beliefs by topological quantum computation?

    6. The stability of fuzzy qbits and quantum computation

    7. Fuzzy quantum logic and possible anomalies in the experimental data for the EPR-Bohm experiment

    8. Category theoretic formulation for quantum measurement theory with finite measurement resolution?