Reb Chaim analyzes the obligation to write the letters of Sefer Torah, Tefillin and Mezuzah with proper intention (lishmah), and specifically whether a non-Jew can create something lishmah or lishmah differs from focus and applies only to Jews.

Reb Chaim explains the view of the Rambam that preparing the parchment for Mezuzha doesn't require proper intention (lishmah), as opposed to Sefer Torah and Tefillin

Survey of laws and philosophical ideas from Reb Chaim and Reb Yosef Dov Soloveitchik relating to prayer

Maariv according to halacha is optional, but we have accepted it upon ourselves. Reb Chaim explores whether after this acceptance Maariv is now the same as Shacharis and Mincha or are there still some lingering differences.

Reb Chaim explores three different meanings of Kavanah in davening, and differentiates between those which are intrinsic to the act of davening itself and those which are reflective of our intense focus.

Reb Chaim explores why the sin of murder is one of the sins for which one must give their life rather than violate it. He suggests two possibilities: either because you cannot prioritize your life over someone else, or because nothing is gained when you save yourself at someone else's expense while doing a sin.

Survey of Reb Yosef Dov's insights into Teshuvah, primarily from the work, Al Hateshuvah

Survey of laws and philosophical ideas from Reb Chaim and Reb Yosef Dov relating to prayer 

Reb Yosef Dov resolves a contradiction in the Rambam whether the dimensions of the Mizbeach (altar in the Temple) have to be precise, and develops a fundamental idea regarding the Mizbeach, which Is similar to his uncles Reb Velvel's. 

Reb Yosef Dov differentiates between the sanctified structure of the Beit Hamikdash and the location upon which it rests, a concept which also applies also to Jerusalem, and which Reb Velvel also discusses