Author Archives: fledglingphysicist

So You Want to Learn Physics…

(This post is cross-posted to my new site:    Introduction Over the past few years, ever since writing “If Susan Can Learn Physics, So Can You”, I’ve been contacted by people from all backgrounds who are inspired and want to learn physics, but don’t know where to start, what to learn, what to read, and […]

Kicking off a new site and blog

Today I’m kicking off a new site and blog. My first post on the blog explains why I’ve begun a new site and will be posting and updating there from now on. Thanks so much for reading over the past few years. I have a lot a big ideas and plans for the new site and […]

An Update (Nearly Two Years Late!)

I haven’t posted here in nearly two years, and a lot has happened in that time. One very significant thing that happened was that I changed my phone number, which ended up locking me out of my WordPress account (damned 2FA!) until today. I graduated from Penn in December 2014 with a degree in physics […]

Frege’s Logicism: A Short Portrait

In 1893, Gottlob Frege published the first volume of Gottlob Frege: Basic Laws of Arithmetic.Using the logical notation, logical axioms, and axiomatic predicate logic (first- and second-level quantification, which he himself had invented!), from his earlier works (the Begriffsschrift and The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number), he meticulously laid out his ontology, rules […]

Hilbert’s Second Problem and Gödel’s Incompleteness Theorems

In a talk given at the Second International Congress of Mathematicians in the year 1900, David Hilbert (one of the greatest mathematicians of his day) outlined what he considered to be ten of the unsolved problems of mathematics, believing that by pointing to the unsolved problems in mathematics, he would be able to give direction to the mathematical […]

Gaussian Integral Formulas

No explanation needed, honestly… Specific Cases: In General:

Essential General Relativity Books

Right now, I’m taking a course on General Relativity with Justin Khoury here at Penn. As I work through the problem sets and supplement my lecture notes, I’ve compiled a list of what I think are the most useful books on the topic. I’m sure I’ll find more as the course goes on, but here […]