Reading Diamond: A Paradox Logic

Reading Diamond: A Paradox Logic It's pretty cool. Parts are very approachable, then suddenly it's dense math that I can barely follow. Will post quotes/excerpts I like.

Dec 13, 2019

where “=” denotes “is confused with”

Shared this with a friend who has studied both math itself & math education @ PhD level and he said:

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fangmeli @pangmeli · Nov 3, 2019

like 'if you move it to the other side of the equal sign, flip its sign' — I thought the equal sign was a mysterious and mercurial gateway between two dimensions — 'problem' and 'answer'. I wasn't taught, and didn't understand, that it simply means both sides are equivalent

Analogy between certain paradoxes (eg "this sentence is a lie") & physical oscillating "buzzers". Goes back & forth: on implies off implies on, 1 implies 0 implies 1. Diamond: A Paradox Logic has more values than "true" & "false". Also has "true but false" & "false but true".

Jun 9, 2020