The rabbis of the Mekhilta press deeper into the logic of the festival offering, deploying one of the Talmud's most powerful reasoning tools: the kal va-chomer, the argument from lesser to greater.
The question is straightforward. We already know that the first and last days of Passover require a chagigah — a special festival sacrifice brought to the Temple in Jerusalem. These days stand alone. The first day has no holy day before it; the last day has no holy day after it. Yet both demand this offering.
So what about chol ha-moed, the intermediate days of the festival? These days sit sandwiched between sacred bookends — preceded by a holy day and followed by another. If the standalone days, which carry less surrounding sanctity, still require a chagigah, then surely the intermediate days, which are embraced on both sides by holiness, deserve no less.
This style of reasoning runs through the entire rabbinic legal tradition. The rabbis did not simply declare rulings by authority. They built arguments, brick by brick, using logic that any attentive student could follow and challenge. The kal va-chomer appears hundreds of times across the Talmud and midrash, and here it serves to elevate the intermediate days of the festival — days that might otherwise seem ordinary — into occasions worthy of sacred offering.
The underlying principle is that holiness is not diminished by proximity to other holiness. It is amplified.