Short Machshava On The Daf by Rabbi Yechezkel Hartman
A short Machshava on the Daf Yomi. Each Daf in Shas has Machshava depth to it, in some it's easy to find - the Agadata of the Shas, but in some it takes some research. Short Machshava shiur aims to discover, discuss in short, and attempt to give somewhat of an understanding of parts of the Machshava of each Daf. Given by Rabbi Yechezkel Hartman, a Talmid of Rabbi Moshe Shapiro zt"l.
Horayos 4: An Old Man Who Cannot Have Children

Rashi's question, and a new way to explain why he cannot be a Dayan.
Source Sheet: https://drive.google.com/file/d/1jLCkYe3d-r81q7_sPjsVB4RTfRtdPrkA/view?usp=share_link
Horayos 3: Follow The Ones Who Live in Eretz Yisroel

The explanation of the Avnei Neizer based on the Maharal.
Source Sheet: https://drive.google.com/file/d/1J89JOKjn-ji_y4ZwqBR2pKmP4Jpbq5Kl/view?usp=share_link
Horayos 2: When Beis Din is Mistaken

Don't we have to follow Beis Din regardless?
Source Sheet: https://drive.google.com/file/d/1d_1PSzt9AiVKNYa37ZihP7OFEWXWOVWE/view?usp=share_link
Avoda Zara 76: Siyum Maseches Avoda Zara

The parallels of the beginning and ending the Maseches.
Source Sheet: https://drive.google.com/file/d/13ysXU-h4TakiV39dxG-yaxnwkOFKetIy/view?usp=share_link
Avoda Zara 75: The Tahara of Vessels and Humans

Teshuva is learned from the ways to Kasher a vessel.
Source Sheet: https://drive.google.com/file/d/1r7OtNS-5RvcefcWxUrOyN_q8sHvUzMsD/view?usp=share_link
Avoda Zara 74: Wine, Water and Light

The connection of water and wine to light.
Source Sheet: https://drive.google.com/file/d/1HqEIUL-nxHfe7VoXy3ipPE6XlLfRO6tV/view?usp=share_link
Avoda Zara 73: Bitul by Heter

The reason there is no canceling of a Heter in an Issur.
Source Sheet: https://drive.google.com/file/d/1wLR07IhqVrIAukyAdZeLdQM6JppYw3Gk/view?usp=share_link
Avoda Zara 72: Nitzok

How does it work, and implications in Machshava.
Source Sheet: https://drive.google.com/file/d/1tyHy1B6kFq6dzVomB70dpC9y1lZ0NDEr/view?usp=share_link
Avoda Zara 71: Meshicha by a Goy

Does an agreed Kinyan work by a non-Jew?
Source Sheet: https://drive.google.com/file/d/1uP_zDu56BBcljowMWoXk_ue6iV0YPet-/view?usp=share_link
Avoda Zara 70: Most Thieves are Jewish

The meaning of this statement.
Source Sheet: https://drive.google.com/file/d/1veelmaZYjrty6E_APhGGRyvnyQOax6UB/view?usp=share_link
Avoda Zara 69: Yetzer Harah for One Aveira Not For Another

The cases when this rule doesn't apply.
Source Sheet: https://drive.google.com/file/d/1_Tzo8CA9M0HduqdIIcKGp56VHCkEJ_X7/view?usp=share_link
Avoda Zara 68: Rav Chaga

His knowledge and humility.
Source Sheet: https://drive.google.com/file/d/1Nm1w1JNhPzwW1HFIZr7ZoyRBmtKDH3NT/view?usp=share_link
Avoda Zara 67: Bad Taste

The deep meaning of the concept "Ta'am Lifgam".
Source Sheet: https://drive.google.com/file/d/1Pqw6mHhi7QNqKVuOgQqfa3UDbatIQMxv/view?usp=share_link
Avoda Zara 66: Smell Doesn't Transfer Issur

The fundamental idea of the Chasam Soffer.
Source Sheet: https://drive.google.com/file/d/1XU_kdrDGhGzE5OkHC8AHx-W77-RZ_TVA/view?usp=share_link
Avoda Zara 65: The Pleasure of Olam Habah

No fear of the king.
Source Sheet: https://drive.google.com/file/d/1E5WfpzxMKL5Hb1qvkzmFkKLkb86-_MU4/view?usp=share_link
Avoda Zara 64: Ger Toshav

Definition based on the Rambam.
Source Sheet: https://drive.google.com/file/d/1JwHJu2bhmgvpUDZCm0vR7EW-PkqyBrG4/view?usp=share_link
Avoda Zara 63: One Who Wants The Existence of Avoda Zara In Order To Destroy It

Two places we see this concept in the Torah.
Source Sheet: https://drive.google.com/file/d/1GfFhtXzMMXcOiMyxtlCvy2s0gzDTe2cp/view?usp=share_link
Avoda Zara 62: Exchange of Shemita Produce, Esnan

The proof of the Toras Zeraim from here.
Source Sheet: https://drive.google.com/file/d/1ehhjMj2g7t5uZwFDoOswTfNDtlWyn8w3/view?usp=share_link
Avoda Zara 61: Yayin Nesech

The depth of the prohibition.
Source Sheet: https://drive.google.com/file/d/1Skg7rvZhL0I_3jN4yyDSgVG_ObOzRtj9/view?usp=share_link
Avoda Zara 60: The Minhag of Throwing Away Water Upon Death

Does it apply by a Goy?
Source Sheet: https://drive.google.com/file/d/1hFqd247VFdPMDElvccn2-ytFLgU_TBZc/view?usp=share_link
Avoda Zara 59: The Zechus of Dying on Kiddush Hashem

And The reason it is important to point it out.
Source Sheet: https://drive.google.com/file/d/1N91-XBQquUr15U9KQ4R97iJRRpPhTBVm/view?usp=share_link
Avoda Zara 58: The Word "Meseches"

The Tosfos Yom Tov's Explanation.
Source Sheet: https://drive.google.com/file/d/1SeoND1AwK1AUBTb43ElR2wHoz3FRsUAG/view?usp=share_link
Avoda Zara 57: The Status of the Christians and Muslims Regarding Stam Yeinam

Who's wine is prohibited? The three opinions.
Source Sheet: https://drive.google.com/file/d/18XxIeqeerXycMn89lfx4bnMVUACoc5kt/view?usp=share_link
Avoda Zara 56: The Six-Year-Old Wonder Child

How a six-year-old knew so much, and the status of his adulthood.
Source Sheet: https://drive.google.com/file/d/1PJ3gsnuVIMX84qDWQiEmYUlp1bVcCRNO/view?usp=share_link
Avoda Zara 55: Avoda Zara Was Given to the Goyim

The two ways to understand this.
Source Sheet: https://drive.google.com/file/d/1DvPofXWXgquFUZPHb07S8pKvYfuoG3wB/view?usp=share_link
Avoda Zara 54: The Concealed World

A world where you can't see Hashem clearly.
Source Sheet: https://drive.google.com/file/d/1j7HIbyXO9-XKOuqNssIL3U44jY6JHyuh/view?usp=share_link
Avoda Zara 53: Am Yisroel "Approved' Avoda Zara with Chet Ha'eigel

Two He'aros.
Source Sheet: https://drive.google.com/file/d/1QAX1_LQt-LL51Ptiy55tFtSi_d_vJTNL/view?usp=share_link
Avoda Zara 52: Tisha B'av on the Wrong Day?

When Goyim enter Beis Hamikdash it is desecrated.
Source Sheet: https://drive.google.com/file/d/1C3UNN9A0u4P3KRwZlkP9psHM_DXfnYPb/view?usp=share_link
Avoda Zara 51: Working for a Reward

When is it acceptable?
Source Sheet: https://drive.google.com/file/d/1tPnk_oH_J-wvIRMgPLiS_45FEux4KCHk/view?usp=share_link
Avoda Zara 50: The Son of Kedoshim

The meaning, and the idea of not looking at the shape of a coin.
Source Sheet: https://drive.google.com/file/d/1b1LvOvYhhrEhKqXt73KqCOvHUjMQfgFo/view?usp=share_link
Avoda Zara 49: Markulis

The depth of its deception.
Source Sheet: https://drive.google.com/file/d/1YJ60zd6hlqcVxBoVSicPLNHTXTEqh3K1/view?usp=share_link
Avoda Zara 48: Walking Through an Asheira

Does one have to run?
Source Sheet: https://drive.google.com/file/d/1Lkb3vnfhgEmjdJbc9c-jRMhRHgoLSRzT/view?usp=share_link
Avoda Zara 47: A House the Hosts Avoda Zara

The fascinating story with the Shul in Hull, England.
Source Sheet: https://drive.google.com/file/d/1EWeMFLOZz3cf8DdzITPGeJIFkq08bVe9/view?usp=share_link
Avoda Zara 46: Derogatory Names, La'hevel Ve'larik

The meaning of the words in Aleinu, and the purpose of christianity and islam in the world.
Source Sheet: https://drive.google.com/file/d/1Eyx5GXJOaqbjS5OaREt3paz4uYCKtNES/view?usp=share_link
Avoda Zara 45: The Mountain of Beis Hamikdash

How do we know Avoda Zara wasn't placed there?
Source Sheet: https://drive.google.com/file/d/11eShhmacsRyqKxeAIhhCsSi1bIVY_COh/view?usp=share_link
Avoda Zara 44: The Crown of King David

Why was it taken from the idol of Amon?
Source Sheet: https://drive.google.com/file/d/1zrg-4MroFT8Isx5WiTkiwVFwv4bcGHbn/view?usp=share_link
Avoda Zara 43: The Shul Built from the Stones of Beis Hamikdash

And is located in Naharda'ah.
Source Sheet: https://drive.google.com/file/d/1Hz4c_dH6L2mYzk6jL5lyGK6bySrurd_1/view?usp=share_link
Avoda Zara 42: Drakon

What is the shape referring to?
Source Sheet: https://drive.google.com/file/d/1mJeqQEkVLtvhOwFcwZKMYKC_o60IxF8q/view?usp=share_link
Avoda Zara 41: The World is Round

The sources in Chazal, and the understanding of the Vilna Ga'on.
Source Sheet: https://drive.google.com/file/d/1RPzA0dvcEv73F_ksSCf1XT68olQvqbcI/view?usp=share_link
Avoda Zara 40: The World Was Given to Shomrim

Some are holding benefits for others.
Source Sheet: https://drive.google.com/file/d/1jjo1ALKXP6yiTpHwTFRjeZToqRA_Ov8I/view?usp=share_link