In my opinion, Caroll's point is that we have solved everything wrt. everyday phenomenon and then some. Paraphrasing him from the linked article
- by solved he means knowing the underlying laws: "In particular, taunting “you’re no grandmaster!” is not actually a refutation of the claim that I know the rules of chess".
Though by so knowing one declares triumph over all everyday phenomena, as you and he suggest, explaining all but the simplest systems as emerging from these laws is another matter altogether. Yet we are confident that we can.
- by everyday life he means phenomenon "you see happening in your kitchen on an everyday basis."
But, his point seems to be that, if there is some unknown basic law of physics that we have not discovered, then those cannot relevant at time and size scales that affect everyday life.
In my opinion, his essential argument boils down to the fact the new physics - and by this he means new underlying fundamental laws - must occur at quantum or cosmic scales both of which are not part of everyday life. Everyday life is most affected by gravity and electromagnetic forces, and is the oldest and most probed regime. It would be a surprise if a new law of physics was discovered hidden in everyday activities that we have missed so far. Moreover, one may claim that everyday life was completely 'solved' by Newton and Maxwell's seminal works.
Isn't there always a chance that we are missing something, and maybe in a hundred years we will discover this?
Yes there's always a chance. But Caroll deems this lack of certitude "metaphysical" and "not a criterion that is useful in science", and with good reason. Our probe of reality - experimental observation - has yielded newer and newer insights over the past $100+$ years since Maxwell, illuminating a hitherto unknown understanding ranging from that of stars to atoms to GR gravity. But never has such an insight improved the fundamental theory that is most important to everyday phenomenon. Everyday life has remained classical and Newtonian for those $100+$ years and that suggests, it would stay so. In my opinion, he calls this the "conventional scientific measure" and is the source of his confidence.
@JoshuaLin piqued
the problem lies more in how our conception of "everyday life" will expand in the future with developments in technology and stuff like that; maybe.
Consider this: quantum physics has already revolutionized our everyday life: electron microscopes, transistors and all of the resulting IT and telecommunication, optical fiber, MRI machines, the nuclear bomb and so on. Does this mean Carol is wrong to claim that everyday life revolves around classical interactions and has little scope for new fundamental discovery?
Not at all for even though these marvels of quantum physics have indeed affected our daily lives, that is a philosophical aspect and not a Physics one. Though devices or technologies may operate QMcally, our interaction with them is still vanilla old classical - we don't drive the electrons in a tunneling diode or consciously flip the spins of protons during an MRI or police light to undergo total internal reflection at the boundary of an optical fiber while using the internet.
In the same vein, even if future innovation brought currently novel and laboratory phenomena like superconductivity into the palms of common folk, their interaction with them would still remain classical, explainable and solved. The new laws discovered if any, would stay hidden and operate silently, within those new-fangled devices of these future denizens.