Two logical sentences are central to quantified modal logic – the Barcan and Converse Barcan Sentences. Here, we look at what they are, why they're philosophically contentious, and when they're valid or invalid.
00:00 - Intro
01:25 - Ruth Barcan Marcus
02:25 - Barcan Sentence
02:52 - Converse Barcan Sentence
03:47 - Are they true?
04:01 - Exercise
04:22 - Worked Answer
05:30 - Why it’s controversial
07:19 - When is BS valid?
10:06 - Nested domains model
10:43 - Shrinking domains model
11:12 - When is CBS valid?
11:30 - Summing up
More videos on modal logic coming next! If there’s a topic you’d like to see covered, leave me a comment below.
Links:
My academic philosophy page: http://markjago.net
My book What Truth Is: http://bit.ly/JagoTruth
Most of my publications are available freely here: https://philpapers.org/s/Mark%20Jago
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