Arguments Against
Because mereology is a new branch of formal systems clear arguments against mereological essentialism have not yet been raised. The most common counterargument is that mereological essentialism entails that an object which undergoes a subtle change is not the same object. This seems to be directly contrary to common sense. For example, if my car gets a flat tire and I then replace the tire, mereological essentialism entails that it is not the same car. This goes against a commonly held supposition.
Read more about this topic: Mereological Essentialism
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