July
@july
The unbearable lightness of the cardinality of any infinite ordinal number
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Chris
@cld
Now I want a trolley problem with two switches and four tracks whose answer depends both on your deontological—consequentialist stance and on whether or not you accept the continuum hypothesis.
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July
@july
What if we consider the switches are actually a wave/particle trolley going through a double slit, simultaneously passing through both slits, opening the possibility to not just a discrete outcome - acceptance / rejection of CH as an additional axiom in set theory, but continuous one - accommodating more nuanced takes
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July
@july
For example, like seeing continuum hypothesis as independent of the standard set theory, or undiscovered alternative set theories, or just acceptance, or rejection, etc - you just don't know which one it's going to choose as the wave/particle trolley simultaneously passes through both slits and interferes with itself
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Chris
@cld
Whoa. It’s like you want a distribution on the space of logics.
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