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##### Dynamical Numerics for Numerical Dynamics

An expository presentation on the assessment of the validity of numerical simulations of continuous-time dynamical systems by treating numerical methods as discrete-time dynamical systems. The basics of the assessment of the convergence and stability of numerical methods are introduced and discussed.

##### Gauge Theories and the Gauge Argument

An expository presentation on the *gauge argument*, which is a classic argument in gauge field theory that claims that gauge fields arise naturally by imposing locally (at each spacetime point) a global internal symmetry of a Lagrangian field. A criticism of this argument given by Healy in his book Gauging What's Real: The Conceptual Foundations of Gauge Theories (2007) is then considered.