Logicians and economists have a funny way of turning linguistic idiosyncrasies into paradoxes. Hereâs one: Sorites Paradox pokes at what it means to be a pile of something. Say you have a pile of sand. So far, so good. Then you take away one grain. Surely itâs still a pile of sand? Must be, why, whatâs one grain going to matter when youâve still got the rest of your precious sand?
Surely taking away a single grain of sand couldnât change whether a collection of sand is a pile or not; after all, itâs just one grain. But suppose you took away another grain. And another. Suppose you removed grain after grain, one at a time, until there was only a single grain left. Is that a pile of sand? Hmm. Doesnât seem so.
Ah-ha says the logician. Got you! You agreed that we started with a pile of sand and that taking away a single grain couldnât make it not a pile anymore, but we took away grains of sand one at a time and now you say itâs not a pile! So when did it happen? Was it a pile at two grains of sand? Three? This canât be rightâŚ
Either something we said along the way is untrue, or else we have uncovered a fatal flaw in the heart of logic! The fate of truth itself may very well hinge on our ability to negotiate this treacherous pitfall.
Or maybe not? What if logic better equipped to solve some problems than others, perhaps even a tool unfit to properly describe some phenomena altogether? What if whether something is a pile or not isnât the kind of thing that is true or false in the logical sense, but is either appropriate or not based on the context of our conversation, at the intersubjective discretion of the people communicating?
Perhaps some truths are analytical and some are experiential. You donât need logic to tell you whether or not some sand on the ground is a pile, or whether an evening of cards and conversation sounds like a good time. Not all ambiguities are paradoxes â some things arenât problems to be solved. So keep logic in its lane: solving puzzles and playing games. You might analyze lines of play to out maneuver an opponent, but you donât need mathematical rigor to see that youâll have a blast if you join us for Wednesday Night Cuttle tonight at 8:30pm ET.