Many philosophers hold that if something is conceivable, then we are justified in believing that it is possible. The inference from conceivability to possibility is common in metaphysics. This video outlines some challenges to this view.
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0:00 - Metaphysical possibility
7:55 - Hume's maxim
12:46 - What is it to conceive of something?
15:12 - Linguistic representation
21:42 - Pictorial representation
25:38 - Pure pictorialism
28:13 - Mixed representation
35:35 - A posteriori impossibilities
42:41 - Modal skepticism