“Knowledge is to be defined in terms of inquiry, not vice-versa” Dewey, John. Logic – The Theory of Inquiry (Kindle Locations 435-439).
Andrew Nightingale (nightingale108) published his seminal book A Defense of Poetry Against the Mathematicians (2019) (ISBN 1688505717) about vagueness and its part in inquiry, including logical and mathematical inquiry. It is available on Amazon associated with Amazon Author profile: amazon.com/author/nightingale108
Andrew Nightingale holds an M.S. and B.A. in mathematics from Loyola University Chicago (2009), and Earlham College respectively. He is also a former Buddhist monk. He has published poetry with Trial by Fire (https://store.kobobooks.com/en-us/ebook/i-would-like-the-woods), Ascent Aspirations (http://www.davidpfraser.ca/fridays-poems-2017.html) and PoetsHaven.com. He has published two scholarly articles related to philosophy. You can find his essay on questions in math and poetry published online at (Many Roads from the Axiom of Completeness) and the second published by sage at http://journals.sagepub.com/doi/full/10.1177/1464884916689150. Here is a link to his dissertation done at Mahidol University completed June, 2018. Here is the tool he built to teach logical pluralism to high school or undergraduate students. In 2022, he became affiliated la page blanche, a 20 year old and very fine poetry magazine and poetic hotbed: http://lapageblanche.com/la-revue/numero-61. A book resulted from that collaboration.
https://www.researchgate.net/profile/Andrew-Nightingale
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Little vampires
Mosquitos swim in air.
To them blood is flesh
Flesh, iron
And iron, law.
But the vast twisting dragons in the night sky
Pass through us like mist.
I have felt them slip through my fevered thoughts
A cool wind in a desert of number.
- Fenris Wolf, enemy of the light.
- Science and Happiness
- Stopping AI Hallucinations
- ready your minds for my Song
- Zeno and Grunbaum (revised)
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The formal base of this paper is Strong Kleene three-valued logic, a well-established framework in non-classical logic. The questioning operator ?, the dual consequence relations ⊢s and ⊢q, and the philosophical interpretation of the indeterminate value as a positive state of inquiry are developed from the author’s dissertation, Vagueness as the Embodiment of Inquiry (Mahidol University, 2018). Questions are understood there as the linguistic expression of vagueness — and vagueness as substance at the edges of word and matter, constituted by the real world, not by language. The present system is an attempt, not a solution: higher-order vagueness escapes it entirely. The formal write-up was developed with editorial assistance from AI language tools.