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There is a sefer by Efraim Urbach called "Ba'alei HaTosafot" (in Hebrew) that discusses them and analyzes, Masechta by Masechta, who the anonymous authors might be.
You can try http://www.dafyomi.co.il/, choose any masechtah, and then scroll down. They have links for Tosafot for most masechtot, but unfortunately not for Bava Basra. And for books, you can try this wonderfully clear sefer called שערי תוספות, if you don't mind Hebrew.
Wikipedia's article "Tosafot", quoting the 1906 Jewish Encyclopedia's: The edited tosafot owe their existence particularly to Samson of Sens and to the following French tosafists of the thirteenth century: (1) Moses of Évreux, (2) Eliezer of Touques, and (3) Perez ben Elijah of Corbeil.
The Yam Shel Sh'lomo is the one who, disagreeing with Tosafos, distinguishes between adults and children playing ball on Yom Tov http://hebrewbooks.org/pdfpager.aspx?req=14086&st=&pgnum=22&hilite=: אלא שחוק של ילדים שלא הגיעו לכלל חיוב הנח The YS"S can arguably be interpreted to refer to children below the age of chinuch. There is a Tosafos ...
Malbim (to Lev. 4:2, sec. 191) argues for your option 1c: there are derashos in Sifra for all three of the cases that Tosafos mentions - being a zav/zavah, pledging erachin and performing semichah - that converts are included. He explains at some length that indeed "bnei Yisrael" includes only born Jews. So mitzvos fall into several categories: Those ...
Usually the Tosfot commentary for a particular masechet was compiled by a particular Tosafist. Based on clues ranging from outright self identification to alignment of particular shitot, rulings, we can identify a large majority of the authors.
Try שערי תוספות....(found it here through Google, but most well-stocked seforim stores should carry it)....it's more or less exactly what you're describing; I've used it and it's very good [in Hebrew though]. You can also try tosfosinenglish.com and dafyomi.co.il's Point-by-point summary of Tosfos*. (I haven't used them, but my friends have; they look ...
I've just started writing such an English work on Tosfos. My first Sefer is on Sukka 2a-11a available on tosfos.ecwid.com for only $2.49. If I have some success I'll continue. I currently have the rest of the first Perek and Elu Metzios almost ready to come out, but needs to be edited. I write the Gemara in regular font and Tosfos in bold so one can read ...
According to this page, the author is unknown. However, earlier in the book (fn. 2), he says that it was first printed in Livorno 5543, if that helps you.
there are many different tosafot on each meseches some of the more famous ones are tosafot harosh tosafot ri"d tosafot rabeinu peretz tosafot tuch (most common alongside gemorah ) tosafot harashb"a meshantz tosafot rabbeinu moshe there may be as many as 20 on any given mesechet when the gemorah was published they printed whatever tosafot was available, ...
חגיגה כא ע''א, מנחות כב ע''ב זבחים עא ע''א, יומא נו ע''א,נזיר לו ע''ב all have enormous תוספות.
תוספות הרא״ש often (but certainly not always!) says the same thing as 'our' תוספות but wordier. This can help. To your criteria: When Tosfos brings another gemoro this resource should provide an explanation of it without me having to look it up. I don't think it meets this criterion; sorry. But I may be misremembering. Unlike Artscroll, it shouldn't be ...
ספר מי מנוחות is another resource though they don't cover the entire Shas.
I recall a place in Bava Kamma where R' Akiva Eiger points out that Tosfos in two different chapters are clearly saying opposite things -- and we just assume that was due to two different authors/editors.
A brief answer, which I'll update with sources, b'ezras Hashem, another time: A large part of it is a question of methodology. Rashi generally takes each piece of Gemara on its own terms and explains it in a way that fits in context; he generally doesn't attempt to compare/contrast it with other places in the Gemara. (In this he is similar to Rambam, who ...
http://he.wikipedia.org/wiki/%D7%A4%D7%A1%D7%A7%D7%99_%D7%AA%D7%95%D7%A1%D7%A4%D7%95%D7%AA Per Rabbi Yaakov Emden in his Sefer Mishna Lechem Pesachim Chapter 10 it was authored by Rabbi Yaakov ben Asher - the Tur. There are those who attribute it to the Tur's father - the Rosh. The Chida in Shem HaGedolim questions as to what the source is that it was ...
Tosfos agrees that boneh is assur min hatorah when it is not for yom tov. As such, there is a maris ayin to carry a ladder since an observer may very well suspect the ladder carrier of fixing a roof for a non yom tov need.
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