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We review various derivations of the partition function of thetwo-dimensional Ising Model of ferromagnetism and proofs of the stability ofmatter, paying attention to passages where there would appear to be a lacunabetween steps or where the structure of the argument is not so straightforward.Authors cannot include all the intermediate steps, but sometimes most readersand especially students will be mystified by such a transition. Moreover,careful consideration of such lacunae points to interesting physics and notonly mathematical technology. Also, when reading the original papers, thestructure of the physics argument may be buried by the technical moves.Improvements in the derivations, in subsequent papers by others, may well beclearer and more motivated. But, there is remarkably little written andpublished about how to read some of the original papers, and the subsequentones, yet students and their teachers would often benefit from such guidance. Ishould note that much of the discussion below will benefit from having thosepapers in front of you.

Legerdemain in Mathematical Physics: Structure, Tricks, and Lacunae in  Derivations of the Partition Function of the Two-Dimensional Ising Model and  in Proofs of The Stability of Matter