Shotgun argumentation / Gish gallop / Butterfly logic
Shotgun argumentation (or Gish gallop, or butterfly logic) is when you throw out many points or claims in a rush so the other side can't answer them all—or you jump from one point to another without a clear link—then act as if you've given a reason for your conclusion. Quantity feels like evidence but it isn't. The fallacy is to overwhelm instead of argue. The remedy is to pick one claim at a time and ask: does this actually support the conclusion?
Examples
We need lower taxes. And have you seen the parks? And my cousin lost his job. So we should vote for X.
The economy is bad, crime is up, the schools are failing, and they raised fees—so we need a new leader.
Look at this study, and that report, and what she said, and the other thing—so the policy is wrong.
There's corruption, and waste, and incompetence, and the other side did worse—vote for us.
We've got cost, quality, speed, and customer feedback—so we're the best.