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7

In Rava's scenario the entire square is the numerator, so it's not (green/orange), but ((green+orange+gray)/orange). So for your second diagram, the formula should be: BigArea/MigrashArea = ((2(r+1000+1000))^2)/(3(r+1000)^2 - 3r^2) or 3.6x10^7 / 9x10^6 = 4 Abaye, on the other hand, doesn't include the city, so for him it's ((green+orange)/orange). Since ...


6

The context is as follows: ג' אין רואין פני גיהנם אלו הן דקדוקי עניות וחולי מעיין והרשות ויש אומרים אף מי שיש לו אשה רעה ואידך אשה רעה מצוה לגרשה ואידך זימנין דכתובתה מרובה אי נמי אית ליה בנים מינה ולא מצי מגרש לה למאי נפקא מינה לקבולי מאהבה Three kinds of person do not see the face of Gehenna, viz., [one who suffers from] oppressive poverty, one ...


5

Rabbi Avraham Danczig -- best-known for his work Chayei Adam (c. 1800), describes his own life's struggle as a businessman trying to find time for Torah in the introduction to his work Chochmas Adam. He discusses it there. It's not that merchants are arrogant, the point was a warning "if you let yourself get too caught up in your work, you'll never have ...


5

The Gemara in Eruvin 43b discusses how R. Gamliel was able to measure the distance. The Gemara says that R. Gamliel had a hollow tube with which he was able to look and sight a distance of 2000 Amos. Per Rashi a long hollow tube narrows and shortens the viewer's range. The length of the tube can be calibrated to yield a maximum sighting distance of 2000 ...


5

Eruvin 1:10 is actually talking about a different kind of mechitzah, one based on the halachic principle of lavud (where objects within three tefachim of each other are considered joined). So the case there is that they place vertical stakes in the ground, each within three tefachim of the next. (The previous mishnah describes the opposite case - where they ...


3

@Gershon's answer is spot on. But just in case not everyone agrees, I will offer another. You state in your comment that there are many ma'amarei chazal which state that Avraham was the first person to circumcise himself. This leads you to the presumption that Terach did not have a bris at all. However see Rashi on 15:15 from Bereshis Rabbah 30:4 that ...


3

In the positive integer number of Eruvin that I've seen, the Eruv excludes uninhabitable and purposeless land (such as cemeteries and bodies of water) from its boundary by encircling that land with another internal set of strings, poles and fences.


3

R. Ezra Alteschuler (I think) in the Torah publication הבאר here raises two points on this gemara: 1) Why did they argue for exactly two and a half years? 2) Usually when there is a dispute between Beis Shammai and Beis Hillel it says "Beis Shammai holds like this and Beis Hillel hold like this", but here it doesn't say what each one holds, it merely says ...


2

All of the sources I found seem to deal on some level with the investigation of human nature. Ben Jehoaidah, Eruvin 13b explains that Israel, (he says ישראל‏ specifically), was created as a part of the בריאה‏ from the Throne of Glory, citing the Arizal that we were created for the glory of Gd. as opposed to angels who are a part of the יצירה‏. ...


2

Most city Eruvin use Matza as the food because it doesn't spoil quickly (Rama OC 368:5). There must be at least 6 (some say 8) eggs' worth of Matza, unless there are less than 18 people in the city in which case there needs to be one dried fig's worth per person (Sh"A OC 368:3). The Matza must belong to everyone. If one person wants to donate Matza to ...


2

The גמרא is referring to an אוהל עראי - a temporary tent - in all the cases on that page, IIRC. The logic goes, that once you have a Tefach, you have an אוהל עראי -and now you are simply enlarging it. The Noda BiYehuda and others discuss it; seems like enlarging a tent is D'Rabonon and so is making an אוהל עראי - and 2 D'Rabonons are allowed.


2

We're discussing making an eruv techum. That type says "my home vis-a-vis where I can walk on shabbos isn't here, it's some place east of here where I dropped off some matza." That gives you plenty of walking space to the east, but then limits your walking distance to the west more so than had you made no eruv. As making such an eruv limits you in some ways, ...


2

First considering that Gemarra was codified traditionally in 450 more likely in 960 in either case centuries after many of these debates occured, so precise details in how they occurred were not recorded by any person with living memory of them. However, there is no reason to believe that they occurred any differently than debates amongst Rabbanim(and more ...


1

Tosafot in Yevamot 14a (d"h R. Yehoshua) asks precisely this question. Tosafot answers we don't generally follow the ruling of R. Yehoshua that holds we don't listen to a bat kol. Tosafot goes on to explain that by the Oven of Achnoi everyone agreed not to listen to the bat kol since it was only for the honor of R. Elazar who stated "From the heavens it ...


1

unless this is where you got the question from, I would suggest that you see this blog post on the subject and the following discussion. There he brings the following three primary sources: Kli Yakar (Devarim 33:9):Who said to his father and to his mother, I have not seen him; nor did he acknowledge his brothers, nor knew his own children; for they ...


1

See Gittin 6b: אמר רב חםדא לעולם אל יטיל אדם אימה יתירה בתוך ביתו שהרי פילגש בגבעה הטיל עליה בעלה אימה יתירה והפילה כמה רבבות מישראל אמר רב יהודה אמר רב כל המטיל אימה יתירה בתוך ביתו סוף הוא בא לידי שלש עבירות גילוי עריות ושפיכות דמים וחילול שבת.‏ Rav Hisda said, "One must never instill excessive fear within his household, for (in the case ...



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