Reflecting on Descartes's evil genius, I came up with an argument to use against his radical skepticism, that is, when he doubts even the basic laws of logic and basic mathematics (3 + 2 = 5). The argument goes like this:
If I claim that the basic laws of logic and mathematics are false, then the argument of radical doubt becomes insignificant because I have relied on the basic laws of logic to create the argument of radical doubt itself . In summary: if the basic laws of logic are false, my own doubting loses its meaning as I began to doubt starting from logical arguments.
However, I found possible counter-arguments to my own argument:
once we have established that the laws of logic are not valid, it is not even possible to formulate a real argument against since their invalidity has been affirmed.
if the evil genius is part of a world that is absolutely other to me, totally incomprehensible to me from any point of view, how can I be sure that the argument I use is valid in its world which precisely follows other logical laws (or maybe, it doesn't even have laws as we understand them).
the evil genius created the world that I perceive (illusory), but it is not subject to the laws of the world that he himself created (a sort of almighty Christian God), indeed it is not subject to any law of any kind and therefore is totally omnipotent and therefore can somehow deceive me.
Final thought: Even if a question should come naturally to the deceived, why him? Since the world he perceives does not seem to be centered on him in any way. One could argue that maybe there is some reason not known to him or in the worst case totally incomprehensible, which makes this scenario of total deception (solipsistic among other things, because only he exists) plausible.
What do you think about the argument against radical skepticism, the loopholes I thought and the final thought?