4 ms·
There are some semi-tenuous, but nevertheless interesting connections between this metamathematical line of thought and contemporary work on "grounding" in meta
by anongraddebt 7y ago
There are some semi-tenuous, but nevertheless interesting connections between this metamathematical line of thought and contemporary work on "grounding" in metaphysics.
I've long held the suspicion that there is some critical unargued for assumption in many of the relevant academic circles, here, that if reality 'bottoms out' somehow it has to bottom out in a monadic fashion. I've often wondered, why can't it be structure all the way down?
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I should add that many/most grounding theorists likely hold some sort of monadic view. I only mention grounding because it is seemingly closer to a 'structure all the way down' view than the predominant views within analytical philosiphy on what is fundamental.
- mikorym 7y agoI am not familiar with this, do you have links to the basics of what grounding theory is?
- anongraddebt 7y agoMy pleasure. The first three are entries in the Stanford Encyclopedia of Philosophy. I suggest reading the first link (entry titled "Fundamentality") first, as that will help provide context. The second link (entry titled "Metaphysical Grounding") provides a somewhat dated, but solid overview of the literature and is what you should read right after "Fundamentality". I say somewhat dated only because the entry is from 2014, and 'grounding' sort of took off around 2009 and has accelerated past 2014. The third link (entry titled "Ontological Dependence") can be skipped, but if you want additional conceptual and historical context, then I suggest blitz reading it. The rest of the links are to books or papers/articles which I think you might find interesting. The very last link is to a rather obscure paper (I randomly found it a year ago) from 1997 that is not on grounding, but is related in some way to the 'structure all the way down' perspective I suggested. The papers' argument is incomplete, attempts to do too many things at once, and presents a rather naive and elementary framework for a 'structure all the way down' view. However, it is (in my opinion) a rare gem. It raises a number of important questions and issues that have (to my knowledge) not yet been addressed by anyone within academic philosophy, or other relevant disciplines for that matter. These questions and issues go unaddressed because the monadic assumption(s) is, seemingly, so deep seated and fundamental to most people. The way I see it, either 'things'/'substances'/'elements' are primary and 'relations' are derivative/secondary, or they are on equal footing, or 'relations' are primary and 'substances' are derivative/secondary. There are only three possibilities. I'm inclined to believe either the second or third are true. If you put a gun to my head and made me choose one, I'd say the third is true. Stanford Encyclopedia of Philosophy: https://plato.stanford.edu/entries/fundamentality/ https://plato.stanford.edu/entries/fundamentality/ https://plato.stanford.edu/entries/grounding/ https://plato.stanford.edu/entries/grounding/ https://plato.stanford.edu/entries/dependence-ontological/ https://plato.stanford.edu/entries/dependence-ontological/ Papers: https://www.google.com/url?sa=t&source=web&rct=j&url=https://pdfs.semanticscholar.org/bbb7/d5b6d877d0fd4667c4744d9947fdabbd2d20.pdf&ved=2ahUKEwjYr-K4huriAhULna0KHayvBy0QFjAAegQIARAB&usg=AOvVaw17sV23uYkumL6hCv1wF9NI https://www.google.com/url?sa=t&source=web&rct=j&url=https:/... https://www.google.com/url?sa=t&source=web&rct=j&url=http://www.kellytrogdon.org/ewExternalFiles/GME-8.pdf&ved=2ahUKEwjL_4j7huriAhVEIqwKHVIZCU8QFjAAegQIAxAB&usg=AOvVaw1Bkw7osz_MZSHG3k8hBTnu https://www.google.com/url?sa=t&source=web&rct=j&url=http://... https://www.academia.edu/34059306/Can_grounding_characterize_fundamentality_Analysis_forthcoming_ https://www.academia.edu/34059306/Can_grounding_characterize... https://www.google.com/url?sa=t&source=web&rct=j&url=https://individual.utoronto.ca/jmwilson/Wilson-The-Unity-and-Priority-Arguments-for-Grounding.pdf&ved=2ahUKEwj42fKlieriAhUHLKwKHUxODIAQFjAAegQIAxAB&usg=AOvVaw0MqmazJDMja8MiFfNRcYKo https://www.google.com/url?sa=t&source=web&rct=j&url=https:/... https://www.google.com/url?sa=t&source=web&rct=j&url=http://www.jonathanschaffer.org/groundcause.pdf&ved=2ahUKEwi32pTPieriAhVFeKwKHVRmCUUQFjAAegQIBRAB&usg=AOvVaw0fxaU0bQ-vQw2JGK5UIOLP https://www.google.com/url?sa=t&source=web&rct=j&url=http://... Books: https://www.amazon.com/gp/aw/d/B00A8ICBWO/ref=tmm_kin_title_0?ie=UTF8&qid=1560553506&sr=8-1 https://www.amazon.com/gp/aw/d/B00A8ICBWO/ref=tmm_kin_title_... https://www.amazon.com/gp/aw/d/B0725YKR29/ref=tmm_kin_title_0?ie=UTF8&qid=1560553583&sr=8-1 https://www.amazon.com/gp/aw/d/B0725YKR29/ref=tmm_kin_title_... Obscure Paper: https://www.google.com/url?sa=t&source=web&rct=j&url=http://wellnowwhat.net/transfers/The%2520Mathematical%2520Structure%2520of%2520the%2520World%2520-%2520Dipert.pdf&ved=2ahUKEwiors_wkOriAhVLRqwKHZj7BJcQFjAAegQICBAB&usg=AOvVaw1DLO15hmR32DozOzefGvEr&cshid=1560555269461 https://www.google.com/url?sa=t&source=web&rct=j&url=http://...