Combining Texts

Ideas for 'The Sign of Four', 'Intro to the Philosophy of Time' and 'Letters to Frege'

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3 ideas

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell]
     Full Idea: Russell's Paradox is a stripped-down version of Cantor's Paradox.
     From: comment on Bertrand Russell (Letters to Frege [1902]) by Graham Priest - The Structure of Paradoxes of Self-Reference §2
Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell]
     Full Idea: Russell's paradox showed that we cannot consistently assume what is sometimes called the 'naïve comprehension principle', namely that every property is collectivizing.
     From: comment on Bertrand Russell (Letters to Frege [1902]) by Michael Potter - Set Theory and Its Philosophy 03.6
5. Theory of Logic / L. Paradox / 7. Paradoxes of Time
A traveller takes a copy of a picture into the past, gives it the artist, who then creates the original! [Baron/Miller]
     Full Idea: Suppose an art critic travels back in time with a copy of an artist's masterpiece, gives the artist the copy, and the artist copies it. The copy of the copy turns out to be the original mastepiece. The artwork seems to come from nowhere.
     From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 8.6)
     A reaction: Lovely thought. Is the example possible (even with time travel)? How would the critic possess the copy before making the time journey? What if the critic decided not to travel back in time? Can a picture exist if no one has imagined it first?