Analysis and Methods: infinite combinatorics

Niceties, review, standard real analysis, extra-standard real analysis, line-continuity, signal-continuity, field-continuity, completeness and repleteness, modern foundations and apologetics, modern foundations and retro-classical extra-standard foundations, uniqueness and existence, ubiquitous success of mathematical models, laws of large numbers, factorial/exponential identities, function theory, Borel versus combinatorics, Borel vis-a-vis combinatorics, Banach-Tarski and Vitali-Hausdorff, field operations, infinite combinatorics, special functions.