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1) PERMITTED JOINS TO FORBIDDEN

(a) (Ze'iri): Also regarding burning (Chametz on the Altar), what is permitted joins to what is forbidden.
(b) Question: This must be as R. Eliezer, who expounds "All" - if so, what is permitted should joins to what is forbidden also regarding Chametz!
(c) Answer: It does! Ze'iri said his law regarding burning to show that he argues on Abaye.

1. (Abaye): Even less than the volume of an olive is considered burning on the Altar (and therefore, there is no need to join to comprise an olive's worth).
2. Ze'iri must hold that one is only liable for burning an olive's worth.

(d) Rav Dimi said over the previous teachings.
(e) Question (Abaye - Mishnah): There was a porridge of Terumah, with garlic and oil of Chulin. A Tevul Yom (one who immersed from Tum'ah today, and is not entirely Tahor until nightfall) touched part of them (the oil and garlic) - it all becomes Tamei;
(f) A porridge of Chulin, with garlic and oil of Terumah; a Tevul Yom touched part of them - he only makes Tamei the part he touched.

1. Question: Why does the part he touched become Tamei? (Tosfos - mid'Oraisa, the Terumah is nullified, and the mixture is Chulin, which a Tevul Yom does not disqualify; Rashi - the part he touched is smaller than the volume of an egg, and is not susceptible to Tum'ah.)
2. Answer (Rabah bar bar Chanah, citing R. Yochanan): Because a non-Kohen is lashed for eating an olive's worth.

(g) (Summation of Abaye's question): We see, one is liable for eating an olive's worth of the mixture - the Chulin joins to the Terumah!

(h) Answer (Rav Dimi): No - a non-Kohen is lashed when the mixture contains an olive's worth (of Terumah) within a half loaf (3-4 eggs worth) of the mixture.

(a) Question (Abaye): Does the Torah really obligate one for eating an olive's worth (of forbidden food) within a half loaf of a mixture?
(b) Answer (Rav Dimi): Yes!
(c) Question (Abaye): If so, why do Chachamim argue with R. Eliezer, and say that one is not liable for eating Kutach (a dip which contains Chametz) on Pesach?
(d) Answer (Rav Dimi): Kutach is different - one does not normally eat an olive's worth (of Chametz) within the time to eat a half loaf.

1. If he eats it straight - this is abnormal (Rashi - and therefore, he is exempt; Tosfos - he would be liable; Chachamim said that a person that eats normally is not liable).
2. If he eats it as a dip - he will not eat an olive's worth (of Chametz) within the time to eat a half loaf!

(e) Question (Beraisa): 2 spice grinders, 1 of Terumah and 1 of Chulin. A pot is in front of each, 1 Terumah, 1 Chulin. The spices in the 2 grinders fell into the 2 pots. Both pots are permitted (the Terumah to Kohanim, the Chulin even to non-Kohanim), because we say that the Terumah fell into the Terumah, and the Chulin into the Chulin.

1. If the Torah obligates one for eating an olive's worth (of forbidden food) within a half loaf of a mixture - why do we say this (perhaps the Terumah fell into the Chulin, and the Torah prohibits the food to a non-Kohen - we should be stringent on a doubtful Torah prohibition)!

(f) Counter-question: If you hold that permitted food joins to forbidden food, and one who eats from the mixture is liable as if he ate that quantity of forbidden food - the same question arises!
(g) Answer: Rather, we must answer that Terumah of spices is only mid'Rabanan (and we may be lenient on a doubtful Rabbinic prohibition).
(h) Question (Beraisa): 2 boxes, 1 of Terumah and 1 of Chulin. A Se'ah (measure of grain) is in front of each, 1 Terumah, 1 Chulin. The Se'in fell into the 2 boxes. Both boxes are permitted (the Terumah to Kohanim, the Chulin even to non-Kohanim), because we say that the Terumah fell into the Terumah, and the Chulin into the Chulin.
(i) If the Torah obligates one for eating an olive's worth (of forbidden food) within a half loaf of a mixture - why are we lenient to say this?