The Gemara explains why we don’t add another bracha to Havineinu on motzei Shabbos (for havdala) since Havineinu was established specifically as a ‘seven bracha unit’ and not eight. If Havineinu assumes a new identity as a ‘seven bracha tefilla’ then why doesn’t the Gemara require a source corresponding to this number as the Gemara sought regarding the various types of shemone esrei (i.e. 18 of weekdays, 7 of Shabbos etc.)?
Tosfos points out that the allowance to taste food without swallowing is limited to a taanis yachid (personally enacted fast) but is not permitted during a taanis tzibbur (a public fast). If we see that tasting doesn’t require a bracha then obviously it doesn’t constitute eating, if so why is it forbidden on a taanis tzibbur more than by a taanis yachid?