A Plea for the Mathematician

The mathematician as a formalist

∞-Categories for the Working Mathematician

homotopy theory C.1. Lifting properties, weak factorization systems, and Leibniz closure C.1.1. Lemma. Any class of maps characterized by a right lifting property is closed under composition, product, pullback, retract, and limits of towers; see Lemma C.1.1. Proof. For now see [17, 11.1.4] and dualize. On account of the dual of Lemma C.1.1, any set of maps in a cocomplete category “cellularly g...

Burritos for the Hungry Mathematician

The advent of fast-casual Mexican-style dining establishments, such as Chipotle and Qdoba, has greatly improved the productivity of research mathematicians and theoretical computer scientists in recent years. Still, many experience confusion upon encountering burritos for the first time. Numerous burrito tutorials (of varying quality) are to be found on the Internet. Some describe a burrito as ...

A Mathematician Reads

New York University mathematical physicist Alan Sokal published in the postmodern humanities journal Social Text a parody entitled “Transgressing the Boundaries: Toward a Transformative Hermeneutics of Quantum Gravity” [1]. His point in doing so was to test whether the field of “cultural studies of science” was seriously lacking in “intellectual standards”. His article is nonsense from start to...

A Plea for the Myxœdematous

pci )C-suitl who has biacd t he l)lestisrc of tcichlillg students clillical med(liciicimutist ha(tve been StruLick bx tile dii1bCUltV thex expet jence in elicitilng a1 trLue illstorv alld al accurate aIccounlt of the patiictit s sxiliptonlis. It is obvious to tile teaciher thatt the ma1.lin easolt I0 foliis ittab'iitx to e'Xtlct in1tol-rmiattioln is thit they ar1_e to aI large ex;ten1ttinaxx\\a...