Tag law of non-contradiction

Libertarian Free Will and the Principle of Alternate Possibilities

So I am arguing in many different forums at the moment about free will, and in particular, about whether Libertarian Free Will (LFW) is compatible with the Kalam Cosmological Argument.

i define LFW here as the ability to choose otherwise. That means I invoke the Principle of Alternate Possibilities. This means that given a particular situation (CC1), I could choose A or B, and if we rewound time to CC1, and given that everything would remain the same in CC1 (ceteris paribus), then the agent could somehow choose differently, invoking a freedom of the will.