Rodrigo Defends Infinity with Existential Overlapping
Actually written JANUARY 21, 2024 A philosophy cohort of mine, Rodrigo Vanegas, presented me with an interesting argument in defense of intrinsic/objective/metaphysically real infinity. So I’ve been thinking about it. Having presented Rodrigo with the problem of how infinity creates self-contradictory gaps in existence, i.e., the problem of metaphysical adjacency , he offered what I here call the “existential overlapping” idea as a way to achieve gapless adjacency and thus “defend” metaphysically real infinity. Rodrigo proposed that two things can be adjacent, without gaps, if we understand the two things as if they occupied ranges on a number-line, wherein Thing-A would occupy locations 0 through 1, and Thing-B would occupy locations 1 through 2. The Things would be adjacent at location-1, and there would be no gaps of self-contradictory nothingness. While I have already considered this idea, Rodrigo’s presentation of the idea prompted me to think about it deeper and to target the ide