A Rebuttal to a Classic Objection to Kant's Argument in the First Analogy

Kant’s argument in the First Analogy for the permanence of substance has been cast as consisting of a simple quantifierscope mistake. Kant is portrayed as illicitly moving from a premise such as (1) at all times, there must exist some substance, to a conclusion such as (2) some particular substance must exist at all times. Examples meant to show that Kant makes this mistake feature substances coming into and out of existence, but doing so at overlapping times. I argue that Kant offers an argument against this kind of example in the following passage. Kant’s claim is that, were substances to be created and destroyed as in the example, the appearances would then be related to two different times, in which existence flowed side by side, which is absurd. For there is only one time, in which all different times must not be placed simultaneously but only one after another (A188–9/B231–32).